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https://en.wikipedia.org/wiki/Joanne%20Moldenhauer | Joanne K. Moldenhauer (née Gatz, March 15, 1928 – February 14, 2016) was an American high school mathematics teacher and two-time winner of the Edyth May Sliffe Award.
Education
Moldenhauer's father served in the United States Army. She was born in Omaha, Nebraska, and attended Benson High School in Omaha. She graduated in 1949 from the Iowa State College, with a degree in physics, hoping to go on to a research career in physics was but blocked from that goal because there were few places for women in physics at the time.
Career
After graduating from Iowa State, Moldenhauer became a high school mathematics teacher in Omaha, and two years later became a student again at the University of Minnesota. She completed a master's degree in mathematics at Minnesota in 1952, and started work as an electrical engineer at General Electric. Her job there involved the development of fire-control systems for military aircraft. However, bored with her work, she soon returned to high school teaching. In 1955 she became a high school teacher in Schenectady, New York, where she had been working for General Electric, and in 1956 she moved to Davis Senior High School in Davis, California.
After 50 years as a teacher in Davis, Moldenhauer retired in 2006.
Contributions and recognition
Moldenhauer won the Edyth May Sliffe Award for Distinguished High School Mathematics Teaching of the Mathematical Association of America twice, in 1990 and 2001. She was also a winner of Stanford University's Frederick Emmons Terman Engineering Award, given annually by the graduating engineering students at Stanford to a distinguished high school teacher. She was a two-time winner of Harvey Mudd College's Distinguished Teaching Award. Unusually for a high school mathematics teacher, Moldenhauer has an Erdős number of 2, from her collaboration with mathematician Sherman K. Stein and mechanical engineer Anthony S. Wexler on "Trigonometry and a Wood Bowl".
References
1928 births
2016 deaths
20th-century American mathematicians
American women mathematicians
Mathematics educators
Schoolteachers from Nebraska
American women educators
Iowa State University alumni
University of Minnesota College of Liberal Arts alumni
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/Riesz%20projector | In mathematics, or more specifically in spectral theory, the Riesz projector is the projector onto the eigenspace corresponding to a particular eigenvalue of an operator (or, more generally, a projector onto an invariant subspace corresponding to an isolated part of the spectrum). It was introduced by Frigyes Riesz in 1912.
Definition
Let be a closed linear operator in the Banach space . Let be a simple or composite rectifiable contour, which encloses some region and lies entirely within the resolvent set () of the operator . Assuming that the contour has a positive orientation with respect to the region , the Riesz projector corresponding to is defined by
here is the identity operator in .
If is the only point of the spectrum of in , then is denoted by .
Properties
The operator is a projector which commutes with , and hence in the decomposition
both terms and are invariant subspaces of the operator .
Moreover,
The spectrum of the restriction of to the subspace is contained in the region ;
The spectrum of the restriction of to the subspace lies outside the closure of .
If and are two different contours having the properties indicated above, and the regions
and have no points in common, then the projectors corresponding to them are mutually orthogonal:
See also
Spectrum (functional analysis)
Decomposition of spectrum (functional analysis)
Spectrum of an operator
Resolvent formalism
Operator theory
References
Spectral theory |
https://en.wikipedia.org/wiki/Vlad%20Voroninski | Vlad Y. Voroninski (born 21 March 1985) is a Russian-American mathematician and entrepreneur.
Academic biography
Voroninski received his B.S. and M.A degrees in Applied Mathematics from UCLA in 2008, summa cum laude. He earned his Ph.D. in mathematics from UC Berkeley in 2013, under the supervision of Emmanuel Candes and John Strain. He was on the faculty at the MIT Mathematics Department from 2013 to 2016.
Research
Voroninski's PhD thesis kicked off the study of phase retrieval in the applied mathematics community, by providing the PhaseLift algorithm along with the first mathematical recovery guarantees for phase retrieval. His research has also led to solutions to open problems in computer vision, quantum operator theory, optimization and the theory of deep learning and compressive sensing. More recently, Voroninski's research connected the fields of deep learning and inverse problems, resolving the sample complexity bottleneck for compressive phase retrieval.
Awards and honors
Voroninski was awarded the 2014 SIAM Outstanding Paper Prize, given to works that "exhibit originality, for example, papers that bring a fresh look at an existing field or that open up new areas of applied mathematics". His PhD thesis was awarded the university-wide Bernhard Friedman Memorial Prize from UC Berkeley. In addition he has received the SIAM Student Paper Prize and SIGEST Review Awards from SIAM.
He received the George E.G. Sherwood Prize from the UCLA Mathematics Department in 2008, which is awarded to the top graduating senior, as well as the Computing Research Association Outstanding Undergraduate Award in 2007.
Entrepreneurship
From 2014 to 2016, Voroninski was the founding Chief Scientist at Sift Security, a cybersecurity machine learning startup which was acquired by Netskope in 2018. As of 2016, Voroninski is the CEO and co-founder of Helm.ai, a stealth mode AI software startup focusing on autonomous driving.
References
21st-century American mathematicians
Living people
21st-century Russian mathematicians
Applied mathematicians
1985 births |
https://en.wikipedia.org/wiki/Andrew%20Pickles | Andrew Richard Pickles is an English biostatistician and Professor of Biostatistics and Psychological Methods in the Institute of Psychiatry, Psychology and Neuroscience at King's College London. He was elected a Fellow of the Academy of Medical Sciences in 2009. He became a Senior Investigator at the National Institute for Health Research (NIHR) in 2018 and was elected to the British Academy in 2020.
Beginning with an eclectic training in natural sciences and urban planning Andrew became interested in statistical modelling of human behaviour, particularly in relation to major aspects of the life-course. After teaching in Wales and the US and a postdoc in Cambridge he was appointed as statistician to the MRC Child Psychiatry Unit at the Maudsley hospital. Familiarisation with a range of statistical models led to a collaboration with Sophia Rabe-Hesketh in the development of a program and influential conceptual framework that integrated multilevel, structural equation and generalized linear models. With an intervening appointment in medical and social statistics at the University of Manchester he returned to King's College London in 2010. His varied applied work has largely focussed on atypical behavioural and neurodevelopmental child development particularly of children on the autism spectrum.
References
External links
Faculty page
Living people
Biostatisticians
English statisticians
Academics of King's College London
Academics of the University of Manchester
Fellows of the Academy of Medical Sciences (United Kingdom)
NIHR Senior Investigators
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/Dirichlet%20series%20inversion | In analytic number theory, a Dirichlet series, or Dirichlet generating function (DGF), of a sequence is a common way of understanding and summing arithmetic functions in a meaningful way. A little known, or at least often forgotten about, way of expressing formulas for arithmetic functions and their summatory functions is to perform an integral transform that inverts the operation of forming the DGF of a sequence. This inversion is analogous to performing an inverse Z-transform to the generating function of a sequence to express formulas for the series coefficients of a given ordinary generating function.
For now, we will use this page as a compendia of "oddities" and oft-forgotten facts about transforming and inverting Dirichlet series, DGFs, and relating the inversion of a DGF of a sequence to the sequence's summatory function. We also use the notation for coefficient extraction usually applied to formal generating functions in some complex variable, by denoting for any positive integer , whenever
denotes the DGF (or Dirichlet series) of f which is taken to be absolutely convergent whenever the real part of s is greater than the abscissa of absolute convergence, .
The relation of the Mellin transformation of the summatory function of a sequence to the DGF of a sequence provides us with a way of expressing arithmetic functions such that , and the corresponding Dirichlet inverse functions, , by inversion formulas involving the summatory function, defined by
In particular, provided that the DGF of some arithmetic function f has an analytic continuation to , we can express the Mellin transform of the summatory function of f by the continued DGF formula as
It is often also convenient to express formulas for the summatory functions over the Dirichlet inverse function of f using this construction of a Mellin inversion type problem.
Preliminaries: Notation, conventions and known results on DGFs
DGFs for Dirichlet inverse functions
Recall that an arithmetic function is Dirichlet invertible, or has an inverse with respect to Dirichlet convolution such that , or equivalently , if and only if . It is not difficult to prove that is is the DGF of f and is absolutely convergent for all complex s satisfying , then the DGF of the Dirichlet inverse is given by and is also absolutely convergent for all . The positive real associated with each invertible arithmetic function f is called the abscissa of convergence.
We also see the following identities related to the Dirichlet inverse of some function g that does not vanish at one:
Summatory functions
Using the same convention in expressing the result of Perron's formula, we assume that the summatory function of a (Dirichlet invertible) arithmetic function , is defined for all real according to the formula
We know the following relation between the Mellin transform of the summatory function of f and the DGF of f whenever :
Some examples of this relation include the following identities involving |
https://en.wikipedia.org/wiki/John%20Carlin%20%28professor%29 | John B. Carlin is an Australian statistician. He is Head of Data Science and Director of the Clinical Epidemiology and Biostatistics Unit at the Murdoch Children's Research Institute (MCRI) and a professor in the Centre for Epidemiology and Biostatistics in the Melbourne School of Population and Global Health at the University of Melbourne. He has also led the Victorian Centre for Biostatistics, a collaboration between the MCRI, the University of Melbourne, and Monash University, since 2012. The economist Wendy Carlin is his sister.
Besides Carlin's professorial appointment at the Melbourne School of Population and Global Health, he is also an Honorary Professorial Fellow in the Department of Paediatrics at the University of Melbourne. In 2018, Carlin was elected a Fellow of the Australian Academy of Health and Medical Sciences.
Selected works
References
External links
Faculty page
Australian statisticians
Biostatisticians
University of Western Australia alumni
Harvard Graduate School of Arts and Sciences alumni
Academic staff of the University of Melbourne
Fellows of the Australian Academy of Health and Medical Sciences
Living people
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/Carbon%20nanohoop | Carbon nanohoops are a class of molecules consisting of aromatic sections curved out of planarity by the inherent cyclic geometry of the molecule. This class of molecules came into existence with the synthesis of cycloparaphenylenes by Ramesh Jasti in the lab of Carolyn Bertozzi and since then has been expanded into cyclonaphthylenes, cyclochrysenylenes, and even cyclohexabenzocoronenylenes. Moreover, several nanohoops containing such antiaromatic units as dibenzo[a,e]pentalene and pyrrolo[3,2-b]pyrrole are reported. Carbon nanohoops often map on to a certain chirality of carbon nanotube. If the diameter is adequate, these molecules can host a fullerene. For example, [10]cycloparaphenylene can host a C60 fullerene.
References
Cyclophanes
Nanomaterials |
https://en.wikipedia.org/wiki/List%20of%20FC%20Schalke%2004%20records%20and%20statistics | Below are lists of records of the German football club FC Schalke 04.
Player records
First / Last: year of the first / last competitive appearance for Schalke
Seasons (Sea): number of seasons in which the player made at least one competitive appearance for Schalke
Position (Pos): GK = Goalkeeper, DF = Defender, MF = Midfielder, FW = Forward
Bundesliga era
Statistics include all competitive matches since the formation of the Bundesliga in August 1963. Players who are still active for Schalke 04 are shown in bold.
BL = Bundesliga (1963–1981, 1982–83, 1984–1988, 1991–2021, 2022–23)
2.BL = 2. Bundesliga (1981–82, 1983–84, 1988–1991, 2021–22, 2023–)
Cup = DFB-Pokal (1963–)
EC = European competitions: Champions League (2001–2019), UEFA Cup / Europa League (1976–2017), Cup Winners' Cup (1969–1973)
OtC = Other competitions: Supercup (2010, 2011), Ligapokal (1972–73, 1998–2007), UI Cup (2003, 2004), Bundesliga relegation play-offs (1983)
Statistics correct .
Most appearances
Players are sorted by number of total appearances, then by number of Bundesliga appearances.
Top goalscorers
Numbers in brackets indicate appearances made. Players are sorted by number of total goals, then by goals per game (Ø).
Other records
Youngest and oldest
Youngest player: Assan Ouédraogo – 17 years, 80 days (28 July 2023, 2. Bundesliga)
Youngest Bundesliga player: Julian Draxler – 17 years, 117 days (15 January 2011)
Youngest goalscorer: Assan Ouédraogo – 17 years, 80 days (28 July 2023, 2. Bundesliga)
Youngest Bundesliga goalscorer: Julian Draxler – 17 years, 193 days (1 April 2011)
Oldest player: Klaus Fichtel – 43 years, 184 days (21 May 1988, Bundesliga, also league record)
Oldest goalscorer: Klaas-Jan Huntelaar – 37 years, 276 days (15 May 2021, Bundesliga)
Goals
Most goals in a season in all competitions: Klaas-Jan Huntelaar – 48 (2011–12)
Most league goals in a season: Simon Terodde – 30 (2021–22, 2. Bundesliga)
Most Bundesliga goals in a season: Klaus Fischer – 29 (1975–76), Klaas-Jan Huntelaar – 29 (2011–12)
Most goals scored in a match: Klaus Scheer – 5 (1 September 1971, Bundesliga)
Most penalty goals scored: Ingo Anderbrügge – 28 (of 33, 20 of 25 in Bundesliga)
Goalkeeping
Most clean sheets: Norbert Nigbur – 133 (96 in Bundesliga)
Most consecutive minutes without conceding a goal: Jens Lehmann – 597 (1996–97 md 16–23, Bundesliga)
Most penalties saved: Norbert Nigbur – 18 (of 51, 16 of 42 in Bundesliga)
Internationals
Most international caps as a Schalke 04 player: Jiří Němec – 64 (1994–2001, Czech Republic)
Most international caps for Germany as a Schalke 04 player: Benedikt Höwedes – 44 (2011–2017)
Most international goals as a Schalke 04 player: Klaas-Jan Huntelaar – 26 (2010–2015, Netherlands)
Most international goals for Germany as a Schalke 04 player: Klaus Fischer – 23 (1977–1981)
World Cup winners: Benedikt Höwedes (2014, appeared in final), Julian Draxler (2014), Norbert Nigbur (1974, did not play), Helmut Kremers (1974, di |
https://en.wikipedia.org/wiki/Perfect%20digital%20invariant | In number theory, a perfect digital invariant (PDI) is a number in a given number base () that is the sum of its own digits each raised to a given power ().
Definition
Let be a natural number. The perfect digital invariant function (also known as a happy function, from happy numbers) for base and power is defined as:
where is the number of digits in the number in base , and
is the value of each digit of the number. A natural number is a perfect digital invariant if it is a fixed point for , which occurs if . and are trivial perfect digital invariants for all and , all other perfect digital invariants are nontrivial perfect digital invariants.
For example, the number 4150 in base is a perfect digital invariant with , because .
A natural number is a sociable digital invariant if it is a periodic point for , where for a positive integer (here is the th iterate of ), and forms a cycle of period . A perfect digital invariant is a sociable digital invariant with , and a amicable digital invariant is a sociable digital invariant with .
All natural numbers are preperiodic points for , regardless of the base. This is because if , , so any will satisfy until . There are a finite number of natural numbers less than , so the number is guaranteed to reach a periodic point or a fixed point less than , making it a preperiodic point.
Numbers in base lead to fixed or periodic points of numbers .
The number of iterations needed for to reach a fixed point is the perfect digital invariant function's persistence of , and undefined if it never reaches a fixed point.
is the digit sum. The only perfect digital invariants are the single-digit numbers in base , and there are no periodic points with prime period greater than 1.
reduces to , as for any power , and .
For every natural number , if , and , then for every natural number , if , then , where is Euler's totient function.
No upper bound can be determined for the size of perfect digital invariants in a given base and arbitrary power, and it is not currently known whether or not the number of perfect digital invariants for an arbitrary base is finite or infinite.
F2,b
By definition, any three-digit perfect digital invariant for with natural number digits , , has to satisfy the cubic Diophantine equation . has to be equal to 0 or 1 for any , because the maximum value can take is . As a result, there are actually two related quadratic Diophantine equations to solve:
when , and
when .
The two-digit natural number is a perfect digital invariant in base
This can be proven by taking the first case, where , and solving for . This means that for some values of and , is not a perfect digital invariant in any base, as is not a divisor of . Moreover, , because if or , then , which contradicts the earlier statement that .
There are no three-digit perfect digital invariants for , which can be proven by taking the second case, where , and letting and . Then the Diophantine |
https://en.wikipedia.org/wiki/Dennis%20Mapa | Claire Dennis S. Mapa (born November 6, 1969) is a Filipino economist and statistician. He is the National Statistician and Civil Registrar General (NSCRG) of the Philippine Statistics Authority with a rank of Undersecretary as appointed by President Rodrigo Duterte. He succeeds Lisa Grace Bersales whose tenure ended on 22 April 2019.
He served as dean and professor at the School of Statistics at the University of the Philippines in Diliman, Quezon City and as the vice president and executive director of the UP Statistical Center Research Foundation.
Early life
Born on November 6, 1969, in Bacolod, Negros Occidental,, Mapa obtained his bachelor's degree in statistics at the University of the Philippines School of Statistics in 1990.
After teaching for two years in the University of Negros Occidental – Recoletos, he went back to the UP School of Statistics to be an instructor and enrolled in Master of Science in statistics. mid-way through his graduate studies, he pursued his long-time interest in economics at the UP School of Economics (UPSE). He earned his degrees in MA Economics and MS Statistics in 2002 and 2004, respectively.
He was then awarded a fellowship at the UP School of Economics, where he pursued his Ph.D. in economics in 2008.
Career
Mapa is the past president of the Philippine Statistical Association, Inc. (PSAI) Board of Directors, and a member of the Social Weather Stations (SWS) Advisory Council. In addition, he served as the Dean of the UP School of Statistics from September 2014 to 2017, and was re-appointed by Former UP President Alfredo Pascual in which Mapa served his second term as Dean from 2017 to 2020. However, his second term was cut short in May 2019 when he was appointed as Undersecretary of the PSA.
He continuously serves as a resource person in capacity building undertakings in the area of econometric methods. He has conducted trainings for the technical staff of various government agencies such as the Bangko Sentral ng Pilipinas (BSP), National Economic and Development Authority (NEDA), the Population Commission (POPCOM), Department of Trade and Industry (DTI), Department of Social Welfare and Development (DSWD), Philippine Competition Commission (PCC), Philippine Statistics Authority (PSA) and the Philippine Statistical Research and Training Institute (PSRTI). He was also invited by the Senate Committee on Economic Affairs to serve as a resource speaker during their policy discussions on the country's TRAIN Law in 2018.
On May 27, 2019, Mapa was officially appointed by President Rodrigo Duterte as the second National Statistician and Civil Registrar General succeeding Lisa Grace Bersales. He will serve as the Undersecretary of the Philippine Statistics Authority for five years.
Work in the Philippine Statistics Authority
Mapa is heading the Philippine Statistics Authority (PSA). Among the programs implemented by the agency include the Philippine Identification System (PhilSys) and the Community-Based |
https://en.wikipedia.org/wiki/V%C4%9Bra%20Trnkov%C3%A1 | Věra Šedivá-Trnková (March 16, 1934 – 27 May 2018) was a Czech mathematician known for her work in topology and in category theory.
Early life and education
Trnková was born on March 16, 1934, in Berehove, then in Czechoslovakia and now in Ukraine; her father was a forester. By the time she was in high school, her family lived in Prague, and she went to Charles University for study in mathematics. There, she worked with Miroslav Katětov on general topology, earning a master's degree in 1957 with the thesis Collectionwise normal and strongly paracompact spaces on strengthened definitions for normal spaces.
She continued her work on topology at Charles University as a doctoral student of Eduard Čech, earning a candidate's degree (the Czech equivalent of a Ph.D.) in 1961 with the dissertation Non-F-Topologies. Much later, in 1989, she was also given the Dr.Sc. degree, corresponding to a habilitation.
Later life and career
In 1960, while still a student, Trnková became an assistant professor at Charles University. She was promoted to docent (associate professor), senior researcher, and full professor in 1967, 1986, and 1991, respectively.
She retired in 1999, and died on 27 May 2018.
Research
Despite beginning her career working in general topology, Trnková shifted as early as 1962 to category theory. Her work in this area included studied of formal completions of categories, the embeddings of categories into categories of topological spaces, category-theoretic automata theory, and the isomorphism of product objects in categories.
She became the author of over 100 research papers and two monographs:
Combinatorial, algebraic and topological representations of groups, semigroups and categories (with Aleš Pultr, North-Holland Mathematical Library 22, North-Holland, 1980)
Automata and algebras in categories (with Jiří Adámek, Mathematics and its Applications 37, Kluwer, 1990)
References
External links
Home page (archived 26 March 2015)
Věra Trnková on nLab
1934 births
2018 deaths
Czech mathematicians
Women mathematicians
Charles University alumni
Academic staff of Charles University
Topologists
Category theorists |
https://en.wikipedia.org/wiki/Laurent%20Fargues | Laurent Fargues (born 19 July 1975 in Cagnes-sur-Mer) is a French mathematician working in number theory and arithmetic geometry.
Fargues was an invited speaker at the International Congress of Mathematicians in 2018 in Rio de Janeiro.
Career
From 2002 to 2011, Fargues was a chargé de recherches at the CNRS in Orsay, from 2011 to 2013 he was CNRS research director at the IRMA in Strasbourg and, from 2013, CNRS research director at the l'Institut de mathématiques de Jussieu in Paris (a campus of the Sorbonne University).
Fargues work mainly centers around the study of Shimura varieties, p-divisible groups and their moduli spaces, and p-adic Hodge theory. One of his most significant contributions has been to link the local Langlands correspondence with the Fargues–Fontaine curve, an object introduced by Fargues together with Jean-Marc Fontaine. In particular, Fargues has formulated a general geometric conjecture which refines the classical local Langlands conjecture, and at the same time introduces extra structure which mirrors the more categorical formulation of the geometric Langlands conjecture. These works were (in part) the subject of a Séminaire Bourbaki exposé in 2018 by Matthew Morrow and an Arbeitsgemeinschaft meeting at Oberwolfach in 2016. His work with Peter Scholze on the stack of vector bundles on the Fargues–Fontaine curve is expected to have implications for the construction of a local Langlands correspondence for general groups.
Fargues gave the Peccot course at the Collège de France in the spring of 2004, was awarded the Petit d'Ormoy, Carriere, Thebault prize from the French academy of sciences in 2009, and was an invited speaker at the International Congress of Mathematicians 2018 in Rio de Janeiro in both the number theory and algebraic geometry sessions.
References
1975 births
Living people
Research directors of the French National Centre for Scientific Research |
https://en.wikipedia.org/wiki/Lawrence%20Sirovich | Lawrence Sirovich is mathematical scientist whose research includes, among other topics, applied mathematics, neuroscience and physics. He is recognized as the pioneer behind modern face recognition, and is known for eigenfaces, the method of snapshots, low dimensional dynamical systems, analysis of the US Supreme Court, neuronal population dynamics, and the faithful copy neuron.
Early life and education
Sirovich was born to Jewish immigrants from Poland and raised in Brownsville, a working-class immigrant neighborhood of Brooklyn, New York. He gained entrance to the Brooklyn Technical H.S., an experience which first opened his eyes to the possibilities of the world. There he was captain of the math team and years later, in 2018, inducted into the BTHS Hall of Fame. Sirovich attended Johns Hopkins University as an undergraduate math major, and as a graduate student in aeronautical engineering (where applied mathematics was practiced). In 1958, jointly with Johns Hopkins University, he became a research assistant at the Courant Institute at NYU. It was there that he wrote his PhD dissertation "On the Kinetic Theory of Steady Gas Flows" in 1960. At the Courant Institute, K.O. Friedrichs, a mathematician of great insight and taste, was his most influential teacher. For Sirovich, taking a course with Friedrichs on asymptotics was a life-changing experience. Another early mentor at the Courant Institute was Fritz John, a mathematician of the highest character with whom Sirovich later started the eminent Applied Mathematical Sciences series, of Springer-Verlag Publishing.
Research
Sirovich's early research was in kinetic theory, its connection with fluid mechanics, and such areas of fluid mechanics as supersonic flow and turbulence. A turning point in Sirovich's research came with his reading of Jim Watson's The Double Helix, which caused Sirovich to realize that he was not engaged in the heroic research of his time. This prompted participation in a Cold Spring Harbor summer course on biology, and eventually led to his close association with H. Keffer Hartline's Laboratory of Biophysics at the Rockefeller University, and a long collaboration with Bruce W. Knight, the present head of the laboratory. As a maturing scientist, Sirovich's research interests took on an element of serendipity ("chance confers an advantage on the prepared mind", Louis Pasteur). For example, a chance remark on the failure of the standard description of the horseshoe crab's lateral eye neural network at its boundaries led to a Weiner-Hopf solution to the problem, with complete experimental agreement. An article by Linda Greenhouse in the New York Times led to "A pattern analysis of the second Rehnquist U.S. Supreme Court." An observation that human faces, are always different, but are always recognizable as a face; and likewise that images of turbulence had the same property of being different, and being recognizable as turbulence led to a successful model of face recogniti |
https://en.wikipedia.org/wiki/R.%20James%20Milgram | Richard James Milgram (born 5 December 1939 in South Bend, Indiana) is an American mathematician, specializing in algebraic topology. He is the son of mathematician Arthur Milgram.
Biography
Milgram graduated from the University of Chicago with a bachelor's degree and a master's degree in 1961. He received his doctorate in 1964 from the University of Minnesota with thesis The homology ring of symmetric products of Moore spaces under the supervision of Alfred Aeppli (1928–2008). Milgram taught from 1970 as a professor at Stanford University, where he is now emeritus. He was a visiting professor at the University of Lille (2001), the Chinese Academy of Sciences (2000) in Beijing, at the University of Göttingen (1987 as Gauss Professor), and at the University of Minnesota (1986 as Ordway Professor), as well as the ETH Zurich, Edinburgh, Montreal, Barcelona, the MSRI, and the University of New Mexico.
In 1974, Milgram was an Invited Speaker with talk The structure of the oriented topological and piecewise linear bordism rings at the International Congress of Mathematicians in Vancouver. He was an editor for the Pacific Journal of Mathematics from 1973 to 1983, for the Duke Mathematical Journal from 1976 to 1984, and for the A.M.S. Contemporary Mathematics series (from its inception in 1980 to 1984). In August 1999 Stanford University held a mathematical conference in his honor.
His doctoral students include Gunnar Carlsson.
Research
With Charles P. Boyer, Jacques Hurtubise, and Benjamin M. Mann, he proved in 1992 the Atiyah–Jones conjecture on the topology of the moduli space of instantons on spheres. He has also done research on robotics and protein folding.
Mathematics education
In addition to algebraic and geometric topology, he has written on mathematics education and served on numerous committees, including the National Board for Education Sciences (since 2005). He is one of the major authors of the mathematical standards for schools in California and has advised the school authorities in Michigan, New York, and Georgia.
Selected publications
See also
List of Jewish American mathematicians
References
External links
20th-century American mathematicians
21st-century American mathematicians
Topologists
Academic journal editors
Mathematics educators
Mathematics education in the United States
Mathematicians from California
Jewish American scientists
Stanford University faculty
University of Chicago alumni
University of Minnesota alumni
Mathematicians from Indiana
Writers from South Bend, Indiana
20th-century American male writers
21st-century American male writers
1939 births
Living people
21st-century American Jews |
https://en.wikipedia.org/wiki/Kaye%20Stacey | Kaye C. Vale Stacey (born 1948) is an Australian mathematics educator who held the Foundation Chair of Mathematics Education in the Graduate School of Education at the University of Melbourne for 20 years, from 1992 until her retirement in 2012. She is the editor-in-chief of Educational Designer, the journal of the International Society for Design and Development in Education.
Stacey has a bachelor's degree from the University of New South Wales. She earned a doctorate (D.Phil.) at the University of Oxford in 1974. Her dissertation The Enumeration of Perfect Quadratic Forms in Seven Variables concerned number theory and was supervised by Bryan John Birch. She also has a Diploma of Education from Monash University.
With Leone Burton and John Mason, Stacey is the author of the book Thinking Mathematically (Addison-Wesley, 1982; 2nd ed., Pearson, 2010).
In 2003, the Australian Government gave Stacey a Centenary Medal for outstanding services to mathematics education.
References
External links
Living people
Australian mathematicians
Women mathematicians
Mathematics educators
University of New South Wales alumni
Academics of the University of Oxford
Monash University alumni
Academic staff of the University of Melbourne
University of Melbourne women
1948 births |
https://en.wikipedia.org/wiki/Amaka%20Agugua-Hamilton | Amaka Agugua-Hamilton (born April 13, 1983) is the current head coach of the Virginia Cavaliers women's basketball team.
Hofstra statistics
Source
Missouri State
Amaka Agugua-Hamilton was introduced as the head coach of the Missouri State Lady Bears basketball program on April 17, 2019. Agugua-Hamilton replaced Kellie Harper who left to become the head coach of her alma mater, the Tennessee Lady Vols. Agugua-Hamilton became the first African- American female head coach for any sport at Missouri State.
Inaugural Season
During her inaugural season with the Lady Bears Agugua-Hamilton lead the team to a 26–4 record including a 16–2 mark in the Missouri Valley Conference. The Lady Bears finished the 2019–2020 season ranked 19th in the USA Today Coaches Poll and 23rd by the AP and 8th in the RPI.
The 26 wins by Agugua-Hamilton set the Missouri Valley Conference record for wins by a first year women's basketball coach. Agugua-Hamilton is also the first coach to win an outright MVC title during her rookie campaign. At the conclusion of the 2020 season Agugua-Hamilton was named the Missouri Valley Conference Coach of the Year. The Women's Basketball Coaches Association also named Agugua-Hamilton the Spalding Maggie Dixon Rookie Coach of the Year.
Virginia
Amaka Agugua-Hamilton was introduced as the head coach of the Virginia Cavaliers women's basketball program on March 21, 2022. Agugua-Hamilton lead the Cavaliers to a perfect 12–0 start during non-conference play in her first season as head coach, but the team faltered in ACC play, going 4–14 to finish the season 15–15.
Personal life
Agugua-Hamilton is a native of Herndon, Virginia and is a 2005 graduate of Hofstra University. She married Billy Hamilton in 2017 and together have a son Eze, born in April 2018. She is a Christian.
Head coaching record
References
External links
Missouri State Lady Bears Coaching bio
1983 births
Living people
American women's basketball coaches
American women's basketball players
Basketball coaches from Virginia
Basketball players from Virginia
Forwards (basketball)
Hofstra Pride women's basketball players
Indiana Hoosiers women's basketball coaches
Michigan State Spartans women's basketball coaches
Missouri State Lady Bears basketball coaches
Old Dominion Monarchs women's basketball coaches
People from Herndon, Virginia
Sportspeople from Fairfax County, Virginia
VCU Rams women's basketball coaches
Virginia Commonwealth University alumni
Virginia Cavaliers women's basketball coaches
Hofstra University alumni |
https://en.wikipedia.org/wiki/Am%C3%A8le%20El%20Mahdi | Amèle El Mahdi, born in 1956 in Blida, is an Algerian professor of mathematics and writer. She lived in many of the cities in southern Algeria, which inspired many of her writings. She has written for the Algerian newspaper El Watan.
Literary works
The Beauty and the Poet, Algiers, Casbah Editions, 2012, 187 p.
Yamsel, son of the Ahaggar, Algiers, Casbah Editions, 2014, 275 p.
Tin Hinan, My Queen, Algiers, Casbah Editions, 2014, 141 p.
Grandma's Beautiful Stories, Algiers, Casbah Editions, 2015
Under the flag of Raïs, Algiers, Casbah Editions, 2016
An African odyssey. The tragedy of illegal migration, Algiers, Casbah Editions, 2018, 172 p.
A collective work entitled Hiziya My Love with texts by 14 novelists and poets (Amar Achour, Nassira Belloula, Maïssa Bey, Aicha Bouabaci, Slimane Djouadi, Saléha Imekraz, Abdelmadjid Kaouah, Azzedine Menasra, Miloud Khaizar, Fouzia Laradi, Amèle El Mahdi, Arezki Metref, Lazhari Labter, Smail Yabrir), Hibr Editions.
Oasis: yesterday's images, today's views; a collective work supported by the publication program of the French Institute of Algeria. Chihab Editions, 2018
References
Algerian women writers
Algerian writers
Algerian academics
Algerian mathematicians
Women mathematicians
Algerian journalists
1956 births
Living people
People from Blida
21st-century Algerian people |
https://en.wikipedia.org/wiki/Charles%20P.%20Boyer | Charles Place Boyer (born April 1942) is an American mathematician, specializing in differential geometry and moduli spaces. He is known as one of the four mathematicians who jointly proved in 1992 the Atiyah–Jones conjecture.
Boyer graduated from Pennsylvania State University with a B.S. in 1966 and a Ph.D. in 1972. His thesis Field Theory on a Seven-Dimensional Homogeneous Space of the Poincaré Group was written under the supervision of Gordon N. Fleming. After receiving his Ph.D. Boyer worked for a number of years at the Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas (IIMAS) of the Universidad Nacional Autónoma de México (UNAM). At IIMAS-UNAM he was from 1972 to 1973 a visiting researcher, from 1974 to 1975 a researcher (Asociado C), from 1975 to 1978 a researcher (Titular A), and from 1978 to 1981 a researcher (Titular B). He was from 1973 to 1974 a visiting researcher at the University of Montreal and from 1981 to 1982 a visiting research fellow at Harvard University. At Clarkson University he was from 1983 to 1988 an associate professor. At the University of New Mexico he was from 1988 to 2012 a full professor, retiring as professor emeritus in 2012.
He is the author or co-author of over 100 articles in refereed journals. He worked for many years with Krzysztof Galicki (1958–2007). Their comprehensive monograph (and graduate textbook) Sasakian Geometry was published shortly after Galicki's death. In 2012 Boyer was elected a fellow of the American Mathematical Society.
See also
Sasakian manifold
References
External links
1942 births
Living people
20th-century American mathematicians
21st-century American mathematicians
Differential geometers
Eberly College of Science alumni
Clarkson University faculty
University of New Mexico faculty
Fellows of the American Mathematical Society |
https://en.wikipedia.org/wiki/Dona%20Strauss | Dona Anschel Papert Strauss (born April 1934) is a South African mathematician working in topology and functional analysis. Her doctoral thesis was one of the initial sources of pointless topology. She has also been active in the political left, lost one of her faculty positions over her protests of the Vietnam War, and became a founder of European Women in Mathematics.
Mathematician Neil Hindman, with whom Strauss wrote a book on the Stone–Čech compactification of topological semigroups, has stated the following as advice for other mathematicians: "Find someone who is smarter than you are and get them to put your name on their papers", writing that for him, that someone was Dona Strauss.
Education and career
Strauss is originally from South Africa, the descendant of Jewish immigrants from Eastern Europe. Her father was a physicist at the University of Cape Town. She grew up in the Eastern Cape, and earned a master's degree in mathematics at the University of Cape Town.
She completed her Ph.D. at the University of Cambridge in 1958. Her dissertation, Lattices of Functions, Measures, and Open Sets, was supervised by Frank Smithies.
After completing her doctorate, she took a faculty position at the University of London. Following her husband's dream of living on a farm in Vermont, she moved to Dartmouth College in 1966. By 1972, she was working at the University of Hull and circa 2008 she became a professor at the University of Leeds. After retiring, she has been listed by Leeds as an honorary visiting fellow.
Activism
In South Africa, Strauss developed a strong antipathy to racial discrimination from a combination of being a Jew at the time of the Holocaust and her own observations of South African society. At the University of Cape Town, she became a member of the Non-European Unity Movement. After completing her degree, she left the country in protest over apartheid; her parents also left South Africa, after her father's retirement, for Israel. In the 1950s, she regularly published editorial works in Socialist Review, and in the 1960s she was active in Solidarity (UK).
As an assistant professor at Dartmouth College in 1969, Strauss took part in a student anti-war protest that occupied Parkhurst Hall, the building that housed the college administration. In response, Dartmouth announced that Strauss and another faculty protester would not have their contracts renewed, and that they would
be suspended from the faculty and "denied all rights and privileges of membership on the Dartmouth faculty", the first time in the college's history that it had taken this step.
In 1986, Strauss became one of the five founders of European Women in Mathematics, together with Bodil Branner, Caroline Series, Gudrun Kalmbach, and Marie-Françoise Roy.
Books
Strauss is the co-author of:
Algebra in the Stone-Čech compactification: Theory and applications (with Neil Hindman, De Gruyter Expositions in Mathematics 27, Walter de Gruyter & Co., 1998; 2nd ed., 2012)
Ba |
https://en.wikipedia.org/wiki/Russell%20Marcus | Russell Marcus is a philosopher specializing in philosophy of mathematics and the pedagogy of philosophy. He is Chair of Philosophy at Hamilton College and president of the American Association of Philosophy Teachers.
Education and career
Prior to his work in philosophy, Marcus taught mathematics and other subjects at high schools in New York City and Costa Rica. He received his bachelor of arts in philosophy at Swarthmore College in 1988. He received his doctorate from the Graduate Center of the City University of New York in 2007, where he wrote his dissertation "Numbers without Science". While at graduate school, he taught philosophy and mathematics at Queens College, Hofstra University and the College of Staten Island. He began teaching at Hamilton College in 2007, later setting up the Hamilton College Summer Program in Philosophy. He gained tenure in 2016 and was appointed Chair of Philosophy in 2020. In 2020, he won the American Philosophical Association's Prize for Excellence in Philosophy Teaching which "recognizes a philosophy teacher who has had a profound impact on the student learning of philosophy in undergraduate and/or pre-college settings", being cited as an "important scholar of teaching and learning in philosophy" for his summer program and "inventive team-based pedagogies and exemplary scaffolded assignments".
Books
References
Further reading
Year of birth missing (living people)
Living people
Philosophers of mathematics
Philosophers of education
Hamilton College (New York) faculty
CUNY Graduate Center alumni
Swarthmore College alumni |
https://en.wikipedia.org/wiki/Croatia%20national%20football%20team%20records%20and%20statistics | This article lists various football records in relation to the Croatia national football team.
Individual records
Player records
Most capped players
First player to reach 100 appearances
Dario Šimić, 20 August 2008, Slovenia 2–3 Croatia
Fastest player to reach 100 appearances
Ivan Perišić, 10 years 2 months 6 days, 26 March 2011 – 1 June 2021
Top goalscorers
First goal
Florijan Matekalo, 2 April 1940, Croatia 4–0 Switzerland
Manager records
Managers results
The following table provides a summary of the complete record of each Croatia manager including their results regarding World Cups and European Championships.
Last updated: Netherlands vs. Croatia, 14 June 2023.
Source: Croatian Football Federation
Team records
Home matches
Key: Pld–games played, W–games won, D–games drawn; L–games lost, %–win percentage
Last updated: Croatia vs. Wales, 25 March 2023. Statistics include official FIFA-recognised matches only.
Competition records
FIFA World Cup
Croatia qualified for and competed in three consecutive World Cup tournaments between 1998 and 2006, but failed to qualify for the 2010 World Cup in South Africa after finishing 3rd in Group 6 behind England and Ukraine. Although they had joined both FIFA and UEFA by 1992, they were unable to enter the 1994 World Cup as qualification had started before the side was officially recognised as a state. In the following three World Cup groups they were eliminated after finishing third in all of them, before finally advancing further than the group stage at the 2018 World Cup. On 11 July 2018, Croatia won their semi-final match against England, advancing the national team to their first FIFA World Cup final wherein they secured second place as runners-up against winners France. Supplanting their third place positioning in 1998, this is the nation's best performance to date.
*Draws include knockout matches decided on penalty shoot-out; correct as of 17 December 2022 after the match against Morocco.
UEFA European Championship
*Draws include knockout matches decided on penalty kicks; correct as of 28 March 2023 after the match against Turkey.
UEFA Nations League
*Draws include knockout matches decided on penalty kicks; correct as of 14 June 2023 after the match against Netherlands.
Head-to-head records
The following table show the Croatia national football team's all-time international record.
Only FIFA matches are counted. Correct as of 14 June 2023, after the 2023 UEFA Nations League Finals fixture against Netherlands.
Notes
See also
Croatia national football team results
References
Football in Croatia
Croatian records
Croatia national football team records and statistics
National association football team records and statistics |
https://en.wikipedia.org/wiki/Diana%20Thomas%20%28mathematician%29 | Diana Maria Thomas is an American applied mathematician known for her research on nutrition and body weight. She is a professor of mathematics at the United States Military Academy (West Point).
Education and career
Thomas is originally from Glendive, Montana, where her father was a physician; she is a graduate of Dawson County High School in Glendive, and majored in mathematics at the University of Montana, graduating in 1991. She earned a Ph.D. in mathematics in 1996 from the Georgia Institute of Technology. Her dissertation, Dynamics of Lattice Systems, was supervised by Shui-Nee Chow.
After postdoctoral research at West Point and the Army Research Laboratory, she joined the faculty at New Jersey City University in 1998, and moved to Montclair State University in 2000. In 2017, she returned to West Point as a professor.
Research
Topics in Thomas's research have included a comparison of the effects of dieting and exercise on weight loss, the effects of weight loss on pregnancy, epidemiological approaches to obesity, the use of biometric data to predict military training injuries, and a statistical comparison of the body types of military recruits with Leonardo da Vinci Vitruvian Man.
Recognition
In 2012 the New Jersey Section of the Mathematical Association of America (MAA) gave Thomas their Award for Distinguished
College or University Teaching of Mathematics. The award recognized her "dedication to teaching, her untiring devotion and concern for students, her work
with students outside the classroom, her commitment to undergraduate research, and her classroom experimentation based on learning and human motivational literature". It noted in particular the many undergraduate research projects she supervised, two of which led to best poster awards at MAA conferences, as well as her work to double the size of the poster sessions at the Joint Mathematics Meetings. She was awarded the 2023 AMS Dolciani Prize for Excellence in Research "for her outstanding research at the interface of mathematics with nutrition and obesity; her work in number theory, combinatorics, and dynamical systems; and her impressive work with undergraduates."
References
External links
Year of birth missing (living people)
Living people
People from Glendive, Montana
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
University of Montana alumni
Georgia Tech alumni
Montclair State University faculty
United States Military Academy faculty
New Jersey City University faculty
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/Pseudoalgebra | In algebra, given a 2-monad T in a 2-category, a pseudoalgebra for T is a 2-category-version of algebra for T, that satisfies the laws up to coherent isomorphisms.
See also
Operad
References
External links
https://ncatlab.org/nlab/show/pseudoalgebra+for+a+2-monad
https://golem.ph.utexas.edu/category/2014/06/codescent_objects_and_coherenc.html
Adjoint functors
Algebra
Category theory |
https://en.wikipedia.org/wiki/Heilbronn%20Institute%20for%20Mathematical%20Research | The Heilbronn Institute for Mathematical Research is an international research institute for mathematics based at the University of Bristol. It is named after the distinguished number theorist Hans Heilbronn who worked at Bristol University from 1934–1935 and 1946–1964. The Institute was founded in 2005 and is run as a partnership between the UK Government Communications Headquarters and the UK academic mathematics community. It has facilities in Bristol, London, and Manchester. The current Chair of the Institute is Geoffrey Grimmett FRS.
The Institute has headquarters in the Fry Building of Bristol University, to which it moved in September 2019 together with the School of Mathematics of the University.
References
External links
Institute website
Mathematics departments in the United Kingdom
Mathematical institutes
Research institutes established in 2005
Research institutes in Bristol |
https://en.wikipedia.org/wiki/Henri%20Moscovici | Henri Moscovici (born 5 May 1944 in Tecuci, Romania) is a Romanian-American mathematician, specializing in non-commutative geometry and global analysis.
Moscovici received his undergraduate degree in 1966 and his doctorate in 1971 at the University of Bucharest under the supervision of Gheorghe Vrânceanu. From 1966 to 1971 Moscovici was an assistant at Politehnica University of Bucharest, from 1971 to 1975 at the Institute of Mathematics of the Romanian Academy and from 1975 to 1977 at the Institute of Atomic Physics in Măgurele, and from 1977 at the INCREST in Bucharest. In 1978 he left for the United States, where he was a visitor at the Institute for Advanced Study in Princeton, New Jersey.
In 1980 he joined the Ohio State University, where he held the Alice Wood Chair in Mathematics; he is now a Professor Emeritus there.
Moscovici does research on representation theory, global analysis, and non-commutative geometry, in which he has collaborated with, among others, Alain Connes, since the two met at the Institute for Advanced Study in 1978. With Connes he proved in 1990 a refinement of the Atiyah–Singer index theorem. As recounted by Connes in a 2021 interview, Moscovici became his greatest collaborator.
In 1990 he was Invited Speaker with talk Cyclic cohomology and invariants of multiply connected manifold at the International Congress of Mathematicians in Kyoto. He has advised 14 Ph.D. students, including .
In 2001, he received the Ohio State University Distinguished Scholar Award. In 1995 he was a Guggenheim Fellow. From 1999 to 2000 he was at Harvard University as a scholar of the Clay Mathematics Institute. A conference in his honor was held at the Hausdorff Center for Mathematics in Bonn in 2009. He was elected a Fellow of the American Mathematical Society in 2012.
Selected publications
(See Selberg trace formula.)
(See Novikov conjecture.)
(also at )
(See Hopf algebra.)
(See Rankin–Cohen bracket.)
References
External links
1944 births
Living people
People from Tecuci
University of Bucharest alumni
Academic staff of the Politehnica University of Bucharest
20th-century Romanian mathematicians
20th-century American mathematicians
21st-century American mathematicians
Topologists
Romanian emigrants to the United States
Institute for Advanced Study visiting scholars
Ohio State University faculty
Fellows of the American Mathematical Society |
https://en.wikipedia.org/wiki/Jean-Gabin%20Moubeke | Jean-Gabin Moubeke (born 3 March 1982) is an Ivorian former footballer who played as a forward for Nice and US Cagnes.
Career statistics
References
External links
Living people
Brentford F.C. players
Men's association football forwards
Ligue 2 players
1982 births
OGC Nice players
Ivorian men's footballers
Ivorian expatriate men's footballers
Ivorian expatriates in France
Ivorian expatriates in England
Expatriate men's footballers in France
Expatriate men's footballers in England
Footballers from Abidjan |
https://en.wikipedia.org/wiki/Nonabelian%20algebraic%20topology | In mathematics, nonabelian algebraic topology studies an aspect of algebraic topology that involves (inevitably noncommutative) higher-dimensional algebras.
Many of the higher-dimensional algebraic structures are noncommutative and, therefore, their study is a very significant part of nonabelian category theory, and also of Nonabelian Algebraic Topology (NAAT), which generalises to higher dimensions ideas coming from the fundamental group. Such algebraic structures in dimensions greater than 1 develop the nonabelian character of the fundamental group, and they are in a precise sense ‘more nonabelian than the groups'''.http://golem.ph.utexas.edu/category/2009/06/nonabelian_algebraic_topology.html Nonabelian Algebraic Topology posted by John Baez These noncommutative, or more specifically, nonabelian structures reflect more accurately the geometrical complications of higher dimensions than the known homology and homotopy groups commonly encountered in classical algebraic topology.
An important part of nonabelian algebraic topology is concerned with the properties and applications of homotopy groupoids and filtered spaces. Noncommutative double groupoids and double algebroids are only the first examples of such higher-dimensional structures that are nonabelian. The new methods of Nonabelian Algebraic Topology (NAAT) "can be applied to determine homotopy invariants of spaces, and homotopy classification of maps, in cases which include some classical results, and allow results not available by classical methods". Cubical omega-groupoids, higher homotopy groupoids, crossed modules, crossed complexes and Galois groupoids are key concepts in developing applications related to homotopy of filtered spaces, higher-dimensional space structures, the construction of the fundamental groupoid of a topos E in the general theory of topoi, and also in their physical applications in nonabelian quantum theories, and recent developments in quantum gravity, as well as categorical and topological dynamics. Further examples of such applications include the generalisations of noncommutative geometry formalizations of the noncommutative standard models via fundamental double groupoids and spacetime structures even more general than topoi or the lower-dimensional noncommutative spacetimes encountered in several topological quantum field theories and noncommutative geometry theories of quantum gravity.
A fundamental result in NAAT is the generalised, higher homotopy van Kampen theorem proven by R. Brown, which states that "the homotopy type of a topological space can be computed by a suitable colimit or homotopy colimit over homotopy types of its pieces''''. A related example is that of van Kampen theorems for categories of covering morphisms in lextensive categories. Other reports of generalisations of the van Kampen theorem include statements for 2-categories and a topos of topoi .
Important results in higher-dimensional algebra are also the extensions of the Galois the |
https://en.wikipedia.org/wiki/Kevin%20McConway | Kevin McConway (born 12 October 1950) is emeritus professor of applied statistics at the Open University, where he spent most of his career. He was the first Vice President (Academic Affairs) of the Royal Statistical Society, from 2012-2016. He was academic adviser to the BBC Radio Four programme More or Less and has written about that experience. He is currently a trustee and advisory board member of the Science Media Centre and has written about experience communicating statistics with the media, and this is developed as general guidance, and to statisticians specifically - "remember to sound human".
References
External links
https://www.battleofideas.org.uk/2017/speaker/kevin-mcconway/
https://www.open.edu/openlearn/profiles/kjm2
Academics of the Open University
Alumni of the University of Cambridge
Alumni of University College London
Alumni of the Open University
1950 births
Living people |
https://en.wikipedia.org/wiki/Karen%20L.%20Collins | Karen Linda Collins is an American mathematician at Wesleyan University, where she is the Edward Burr Van Vleck Professor of Mathematics, Chair of Mathematics and Computer Science, and Professor of Integrative Sciences. The main topics in her research are combinatorics and graph theory.
Collins graduated from Smith College in 1981, and completed her Ph.D. in 1986 at the Massachusetts Institute of Technology. Her dissertation, Distance Matrices of Graphs, was supervised by Richard P. Stanley. In the same year, she joined the Wesleyan faculty.
She was given the Edward Burr Van Vleck Professorship in 2017.
References
External links
Home page
Year of birth missing (living people)
Living people
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
Graph theorists
Smith College alumni
Massachusetts Institute of Technology alumni
Wesleyan University faculty
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/Inge%20Koch%20%28statistician%29 | Inge Koch is an Australian statistician, author, and advocate for gender diversity in mathematics. Koch is the author of Analysis of Multivariate and High-Dimensional Data (2013), and is a Professor in Statistics at the University of Western Australia. Previously, she has worked as an associate professor at University of Adelaide and taught statistics at the University of New South Wales.
From 2015 to 2019, she was the Executive Director of Australian Mathematical Sciences Institute (AMSI)’s Choose Maths Program, encouraging girls and young women to participate in mathematics. In 2004, she cofounded the Girls Do the Maths movement at the University of New South Wales.
Koch completed her PhD in Statistics at the Australian National University in 1991. Her dissertation, Theoretical Problems in Image Analysis, was supervised by Peter Gavin Hall. She completed an MSc at the University of Oxford, and her M.Phil. at the University of London.
References
Year of birth missing (living people)
Living people
Australian statisticians
Women statisticians
Australian National University alumni
Academic staff of the University of Adelaide
Academic staff of the University of New South Wales
Academic staff of the University of Western Australia
Alumni of the University of Oxford
Alumni of the University of London |
https://en.wikipedia.org/wiki/Freivalds | Freivalds can refer to:
People
Laila Freivalds, Swedish politician
Rūsiņš Mārtiņš Freivalds, Latvian mathematician
Mathematics
Freivalds' algorithm |
https://en.wikipedia.org/wiki/Yuri%20Tschinkel | Yuri Tschinkel (Юрий Чинкель, born 31 May 1964 in Moscow) is a Russian-German-American mathematician, specializing in algebraic geometry, automorphic forms and number theory.
Education and career
Tschinkel attended from 1979, the Erweiterte Oberschule Heinrich-Hertz-Gymnasium in East Berlin and passed there in 1983 the Abitur. He graduated with honors from Lomonosov Moscow State University in 1990 and received his doctorate in 1992 from the Massachusetts Institute of Technology with thesis Rational points on algebraic surfaces under the supervision of Yuri Manin and Michael Artin. From 1992 to 1995 Tschinkel was a junior fellow at Harvard University. In 1995 he became an assistant professor at the University of Illinois at Chicago (UIC) and from 1999 to 2003 he was an associate professor there. From 2003 to 2008 he was a professor at the University of Göttingen. He has been a professor at the Courant Institute of Mathematical Sciences of New York University since 2005 and, since 2012, director of the Simons Foundation's Department of Mathematics and Physics.
He has been a visiting scholar at the École Polytechnique, the Institut des hautes études scientifiques, the Max Planck Institute for Mathematics in Bonn, the Isaac Newton Institute at the University of Cambridge, Stanford University, Princeton University (1999 to 2003), Kyoto's Research Institute for Mathematical Sciences, and the University of Tokyo.
Tschinkel does research on rational points on algebraic varieties and other questions of arithmetic geometry. He is the author or co-author of over 110 research publications. He has been a co-editor of several anthologies and conference reports on arithmetic geometry, e.g., co-editor with William Duke of the Gauß–Dirichlet conference in Göttingen in 2005 and also co-editor with Yuri Zarhin of the Festschrift for his teacher Yuri Manin.
In 1995–1996 Tschinkel was a Leibniz Fellow of the European Union at the École normale supérieure in Paris, and in 2001–2002 he was Clay Mathematics Institute Fellow. In 2006, he was an Invited Speaker with talk Geometry over nonclosed fields at the International Congress of Mathematicians in Madrid. Tschinkel has German and American citizenships. He was elected a Fellow of the American Mathematical Society in 2012. In 2018 he was elected a member of the German Academy of Sciences Leopoldina.
Selected publications
as editor with Emmanuel Peyre: "Rational points on algebraic varieties", Birkhäuser 2001
as editor with Bjorn Poonen: Arithmetic of higher dimensional algebraic varieties , Birkhäuser 2004
as editor with Fedor Bogomolov: "Geometric methods in algebra and number theory", Birkhäuser 2005
as editor with Fedor Bogomolov: "Cohomological and geometric approaches to rationality problems: new perspectives", Birkhäuser 2009
as editor with William Duke: Analytic Number Theory – a tribute to Gauss and Dirichlet , American Mathematical Society 2007
as editor with Yuri Zarhin: Algebra, Arithmetic and |
https://en.wikipedia.org/wiki/Frank%20E.%20Wood | Frank Edwin Wood (February 26, 1891 – January 1, 1972), incorrectly identified as Frank E. Worth in current media guides, was an American football coach and mathematics professor.
Education
Wood received a B.A. from Baker University in Baldwin City, Kansas in 1912, an AM degree from the University of Kansas in 1914, and a Ph.D. from the University of Chicago in 1920.
Coaching career
He served as the head football coach at the University of New Mexico in 1917, accepting duties on short notice while regular coach Ralph Hutchinson was called into military service during World War I.
Academic career
Wood served as a faculty member at a number of institutions, including Northwestern University, Princeton University, the University of Oregon, as well as the University of New Mexico.
References
1891 births
1972 deaths
New Mexico Lobos football coaches
Northwestern University faculty
University of Chicago alumni
University of Kansas alumni
University of New Mexico faculty
University of Oregon faculty
Baker University alumni
People from Wamego, Kansas |
https://en.wikipedia.org/wiki/Mac%20Lane%20coherence%20theorem | In category theory, a branch of mathematics, Mac Lane coherence theorem states, in the words of Saunders Mac Lane, “every diagram commutes”. More precisely (cf. #Counter-example), it states every formal diagram commutes, where "formal diagram" is an analog of well-formed formulae and terms in proof theory.
Counter-example
It is not reasonable to expect we can show literally every diagram commutes, due to the following example of Isbell.
Let be a skeleton of the category of sets and D a unique countable set in it; note by uniqueness. Let be the projection onto the first factor. For any functions , we have . Now, suppose the natural isomorphisms are the identity; in particular, that is the case for . Then for any , since is the identity and is natural,
.
Since is an epimorphism, this implies . Similarly, using the projection onto the second factor, we get and so , which is absurd.
Proof
Notes
References
Section 5 of Saunders Mac Lane, Topology and Logic as a Source of Algebra (Retiring Presidential Address), Bulletin of the AMS 82:1, January 1976.
External links
https://ncatlab.org/nlab/show/coherence+theorem+for+monoidal+categories
https://ncatlab.org/nlab/show/Mac+Lane%27s+proof+of+the+coherence+theorem+for+monoidal+categories
https://unapologetic.wordpress.com/2007/06/29/mac-lanes-coherence-theorem/
Category theory |
https://en.wikipedia.org/wiki/Patrik%20Demj%C3%A9n | Patrik Demjén (born 22 March 1998) is a Hungarian football player who plays for MTK.
Career statistics
.
References
External links
1998 births
Living people
People from Esztergom
Hungarian men's footballers
Hungary men's youth international footballers
Men's association football goalkeepers
MTK Budapest FC players
Dorogi FC footballers
Budaörsi SC footballers
Zalaegerszegi TE players
Nemzeti Bajnokság I players
Sportspeople from Komárom-Esztergom County
21st-century Hungarian people |
https://en.wikipedia.org/wiki/Peter%20B%C3%BCrgisser | Peter Bürgisser (born 1962) is a Swiss mathematician and theoretical computer scientist who deals with algorithmic algebra and algebraic complexity theory.
Education and career
Bürgisser received in 1990 his doctorate from the University of Konstanz with thesis Degenerationsordnung und Trägerfunktional bilinearer Abbildungen under the supervision of Volker Strassen. Bürgisser was a postdoc at the University of Bonn from 1991 to 1993 and then at the University of Zürich. He was a professor at the University of Paderborn and since 2013 a professor at the Technical University of Berlin (TU Berlin).
His research deals with efficient algorithms for the solution of algebraic problems and lower bounds in the complexity of algebraic problems, as well as with symbolic and numerical algorithms and the probabilistic analysis of numerical algorithms.
With Felipe Cucker in 2011 he contributed to the solution of Smale's Problem No. 17.
Bürgisser was a visiting scholar at the Simons Institute for the Theory of Computing in Berkeley. He was also a visiting scholar at ETH Zurich.
In 2010, he was an invited speaker with talk Smoothed Analysis of Condition Numbers at the International Congress of Mathematicians in Hyderabad. He was a plenary speaker at the 2008 conference of the organization Foundations of Computational Mathematics (FoCM) in Hong Kong and organized workshops on complexity theory at the 2005, 2008 and 2011 workshops and in the 2009 and 2012 Oberwolfach workshops. He was elected a Fellow of the American Mathematical Society in 2012.
He is a member of the editorial staff of Foundations of Computational Mathematics.
In 2018 he was awarded an ERC Advanced Grant.
Further Activities
In Bürgisser`s youth, he acted in four short-films by his school-mate Roger Steinmann as lead-actor. 'Die Flutkatastrophe' and 'Die Türe` were aired in the Swiss national TV DRS, the latter accompanied with an interview with Bürgisser.
Selected publications
with
with Michael Clausen and Amin Shokrollahi: Algebraic Complexity Theory, Grundlehren der mathematischen Wissenschaften 315, Springer 1997
References
External links
20th-century German mathematicians
21st-century German mathematicians
Swiss computer scientists
University of Konstanz alumni
Academic staff of the Technical University of Berlin
Academic staff of Paderborn University
Fellows of the American Mathematical Society
1962 births
Living people
European Research Council grantees |
https://en.wikipedia.org/wiki/Northern%20Ireland%20national%20football%20team%20records%20and%20statistics | This page details Northern Ireland national football team records and statistics; the most capped players, the players with the most goals, and Northern Ireland's match record by opponent and decade.
Player records
Most capped players
after the match against .
Players with an equal number of caps are ranked in chronological order of reaching the milestone.
Top goalscorers
after the match against .
Players with an equal number of goals are ranked in chronological order of reaching the milestone.
Most captaincies
after the match against .
Captaincy appearances are only awarded to players who were assigned the captaincy at the start of an international game.Players with an equal number of captaincies are ranked in chronological order of reaching the milestone.
Most clean sheets
after the match against .
A goalkeeper is awarded a clean sheet if he does not concede a goal during his time on the pitch.
Hat-tricks
The result is presented with Northern Ireland's score first.
Red cards
The result is presented with Northern Ireland's score first.
Individual and Team records
Age records
Youngest player to make debut: Samuel Johnston – 15 years and 154 days, 18 February 1882 vs
Oldest player to play a game: Elisha Scott – 42 years and 200 days, 11 March 1936 vs
Youngest player to play at World Cup finals: Norman Whiteside – 17 years and 41 days, 17 June 1982 vs
Oldest player to play at World Cup finals: Pat Jennings – 41 years and 0 days, 12 June 1986 vs
Youngest player to score a goal: Samuel Johnston – 15 years and 161 days, 25 February 1882 vs
Goal records
First Irish goal: Samuel Johnston – 15 years and 161 days, 25 February 1882 vs
Most goals scored in one game by a player: 6 – Joe Bambrick, 1 February 1930 vs
Firsts
First International: 18 February 1882 vs
First home international: 18 February 1882 vs
First win: 12 March 1887 vs
First overseas opponent: , 25 May 1922
First win over an overseas opponent: 1 May 1957 vs
Streaks
Most consecutive victories: 5
26 March 2017 – 4 September 2017
21 March 2019 – 5 September 2019
Most consecutive matches without defeat: 12
29 March 2015 – 4 June 2016
Most consecutive draws: 4
11 September 2012 – 6 February 2013
Most consecutive matches without a draw: 24
26 January 1884 – 28 March 1891
Most consecutive matches without victory: 21
5 November 1947 – 7 November 1953
Most consecutive defeats: 11
26 January 1884 – 19 February 1887
3 October 1959 – 7 October 1961
Most consecutive matches scoring: 13
4 November 1933 – 16 March 1938
Most consecutive matches without scoring: 13
27 March 2002 – 11 October 2003
Most consecutive matches conceding a goal: 46
18 February 1882 – 27 March 1897
Most consecutive matches without conceding a goal: 6
27 March 1985 – 26 February 1986
Biggest wins
Heaviest defeats
Competition Records
FIFA World Cup
Qualification
First match: 1 October 1949 vs
First goal: Sammy Smyth vs , 1 October 1949
Finals
First finals: Swe |
https://en.wikipedia.org/wiki/Anita%20Burdman%20Feferman | Anita Burdman Feferman (July 27, 1927 – April 9, 2015) was an American historian of mathematics and biographer, known for her biographies of Jean van Heijenoort and (with her husband, logician Solomon Feferman) of Alfred Tarski.
Life
Feferman was born on July 27, 1927. She was originally from Los Angeles, and attended Hollywood High School and the University of California, Los Angeles before earning a bachelor's degree in 1948 from the University of California, Berkeley. She became a schoolteacher in the Oakland, California school system, and earned another degree in teaching from UC Berkeley. In 1956 her husband Solomon Feferman took a position at Stanford University, and she moved with him and their two daughters from the East Bay to the San Francisco Peninsula. She died on April 9, 2015.
Books
At Stanford, Feferman became a member of a biography seminar led by Barbara A. Babcock and Diane Middlebrook. Her first biography, of Jean van Heijenoort, was Politics, Logic, and Love: The Life of Jean van Heijenoort (Jones and Bartlett, 1993), also published as From Trotsky to Gödel: The Life of Jean van Heijenoort (CRC Press, 2001). With Solomon Feferman, she was the co-author of a biography of Alfred Tarski, Alfred Tarski: Life and Logic (Cambridge University Press, 2004).
References
External links
Feferman (Anita Burdman) Papers, Stanford University Archives, via Online Archive of California
1927 births
2015 deaths
University of California, Berkeley alumni
American biographers
American historians of mathematics |
https://en.wikipedia.org/wiki/Anne%20C.%20Morel | Anne C. Morel (also published as Anne C. Davis, died July 22, 1984) was an American mathematician known for her work in logic, order theory, and algebra. She was the first female full professor of mathematics at the University of Washington.
Education and career
Morel graduated in 1941 from the University of California, Los Angeles. She began graduate study in mathematics in 1942 at the University of California, Berkeley, but left her studies to serve in the WAVES (the United States Naval Women's Reserve) during World War II. She returned to her studies in Berkeley in 1946, and completed her Ph.D. in 1953. Her dissertation, A Study in the Arithmetic of Order Types, was supervised by Alfred Tarski, and concerned ordinal arithmetic.
After two years as an assistant professor at Berkeley, and positions at the University of California, Davis and the Institute for Advanced Study (1959–1960), she joined the mathematics faculty at the University of Washington in 1960, and became a tenured associate professor there in 1961. Eventually she became the first female full professor of mathematics there, and for many years she was the university's only female professor of mathematics.
Research contributions
As part of her thesis work, in 1952, Morel found two different countable order types whose squares are equal. After Wacław Sierpiński simplified her construction, they published it jointly.
In 1955, Morel published a converse to the Knaster–Tarski theorem, according to which every incomplete lattice has an increasing function with no fixed point.
Her 1965 paper with Thomas Frayne and Dana Scott, "Reduced direct products", provides the main definitions of reduced products in model theory. It was published after several important applications of those definitions had already been discovered, and has been called a "classical reference paper". Her only publication with her advisor, Alfred Tarski, was a brief announcement of related research using reduced products in connection with the compactness theorem in mathematical logic. Among other results, it provided a proof of the compactness theorem using ultraproducts. With Chen Chung Chang, she also used reduced products to show that a sufficient condition for properties to be preserved under direct products, derived by Alfred Horn, was not also a necessary condition.
Topics in her later research included group theory, semigroups, and cofinality in universal algebra. Her final publication, published posthumously, was "Cofinality of algebras" (1986).
Personal life
During her war service, Morel met and married Alan Davis, another mathematician.
However, their marriage was not successful, and Davis took a position at the University of Nevada, Reno while Morel returned to her studies at UC Berkeley. They divorced in 1955.
In Berkeley, Morel began an affair with her advisor Alfred Tarski in 1950, at approximately the same time as another student mistress of Tarski, Wanda Szmielew, left Berkeley to return to Pola |
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The Asiatic Society of Mumbai Town Hall or Town Hall Mumbai is a neoclassical building located in the Fort locality of South Mumbai. It houses The Asiatic Society of Mumbai, State Central Library and a museum, the head office of the Directorate of Libraries Maharashtra State, Maharashtra State Women's Council, the Additional Controller of Stamps Office and a post office.
History
In 1811, the plan for construction began. Initially, the construction of the town hall (colloquially Called "Tondal" in the 19th century) could not be completed because of the lack of funds; only the library and museum were built after raising an amount of Rs.10,000 through a lottery conducted by the 'Literary Society of Bombay' (Mumbai). Construction was eventually completed in 1833.
Architecture
The building was designed by Colonel Thomas Cowper of the Bombay Engineers. The architectural style of the building is Neoclassical architecture that came into existence in the 18th century.
Structure
The structure has a height of 100 feet and a span of 200 feet. It was inspired by Greek and Roman styles of architecture. There is a flight of 30 steps leading to the entrance of the Town Hall. The entrance of the building is adorned with a Grecian portico and eight Doric styled pillars. The entire construction was made of stones brought from England and was designed in a Neo-classical fashion. Within the building are wooden floors, spiral staircases, and terraces adorned with wrought iron. The hall boasts of a collection of marble statues of Indian patrons of the 19th century.
There is also a flagpole on the building on which the Indian National Flag is hoisted on the 15th of August and 26th of January, every year.
Significance
The Asiatic Society of Mumbai Town Hall is a classified heritage structure. Sir John Malcolm, Governor of Mumbai in 1930 said, "It is the most magnificent structure that taste and munificence combined have as yet erected in India".
There are many ancient manuscripts in Persian, Prakrit, Urdu and Sanskrit along with other treasures preserved in the hall. Dante's first issue of Inferno is one of the treasures kept at the town hall.
References
Government buildings in Mumbai
Neoclassical architecture in India
1833 establishments in India
Tourist attractions in Mumbai |
https://en.wikipedia.org/wiki/Sofia%20Kenin%20career%20statistics | This is a list of career statistics of American tennis player Sofia Kenin since her professional debut in 2013. Kenin has won one Grand Slam singles title at the 2020 Australian Open (she was also a finalist at the 2020 French Open), four singles titles and two doubles titles on the WTA Tour, as well as four ITF singles titles and two ITF doubles titles.
Performance timelines
Only main-draw results in WTA Tour, Grand Slam tournaments, Fed Cup/Billie Jean King Cup and Olympic Games are included in win–loss records.
Singles
Current through the 2023 US Open.
Doubles
Current through the 2023 Australian Open.
Grand Slam tournament finals
Singles: 2 (1 title, 1 runner-up)
Other significant finals
WTA 1000 tournaments
Doubles: 1 (title)
WTA Tour finals
Singles: 8 (5 titles, 3 runner-ups)
Doubles: 2 (2 titles)
ITF Circuit finals
Singles: 8 (4 titles, 4 runner-ups)
Doubles: 6 (2 titles, 4 runner-ups)
Billie Jean King Cup participation
This table is current through the 2020 Fed Cup
Singles (2–4)
Doubles (1–0)
Junior finals
Grand Slam tournaments
Singles: 1 (runner-up)
ITF Junior Circuit
Singles: 5 (3 titles, 2 runner–ups)
Doubles: 9 (7 titles, 2 runner–ups)
WTA Tour career earnings
Current as of June 6, 2022
Career Grand Slam statistics
Seedings
The tournaments won by Kenin are in boldface, and advanced into finals by Kenin are in italics.
Best Grand Slam results details
Winners are represented in boldface, and runner–ups in italics.
Head-to-head statistics
Record against top 10 players
Kenin's record against players who have been ranked in the top 10. Active players are in boldface.
No. 1 wins
Kenin has a record against players who were, at the time the match was played, ranked number one.
Top 10 wins
Kenin has a record against players who were, at the time the match was played, ranked in the top 10.
Double bagel matches
Notes
References
External links
Sofia Kenin at the Women's Tennis Association
Kenin, Sofia |
https://en.wikipedia.org/wiki/Frank-Olaf%20Schreyer | Frank-Olaf Schreyer is a German mathematician, specializing in algebraic geometry and algorithmic algebraic geometry.
Schreyer received in 1983 his PhD from Brandeis University with thesis Syzgies of Curves with Special Pencils under the supervision of David Eisenbud. Schreyer was a professor at University of Bayreuth and is since 2002 a professor at Saarland University.
He is involved in the development of (algorithmic) algebraic geometry advanced by David Eisenbud. Much of Schreyer's research deals with syzygy theory and the development of algorithms for the calculation of syzygies.
In 2010 he was an invited speaker (jointly with David Eisenbud) at the International Congress of Mathematicians in Hyderabad. In 2012 he was elected a Fellow of the American Mathematical Society.
Selected publications
with D. Eisenbud, H. Lange, G. Martens: The Clifford dimension of a projective curve, Compositio Math., vol. 72, 1989, pp., 173–204
A standard basis approach to syzygies of canonical curves, J. reine angew. Math., vol. 421, 1991, pp. 83–123
as editor with Klaus Hulek, Thomas Peternell, Michael Schneider: Complex Algebraic Varieties, Lecture Notes in Mathematics, Springer Verlag 1992 (Konferenz Bayreuth 1990)
with W. Decker, L. Ein: Construction of surfaces in , J. Alg. Geom., vol. 2, 1993, pp. 185–237
with K. Ranestad: Varieties of sums of power, Journal für die reine und angewandte Mathematik, 2000, pp. 147–181
with David Eisenbud: Sheaf Cohomology and Free Resolutions over Exterior Algebras, Arxiv 2000
with W. Decker: Computational Algebraic Geometry Today, in: C. Ciliberto et al. (eds.), Application of Algebraic Geometry to Coding Theory, Physics and Computation, Kluwer 2001, pp. 65–119
with D. Eisenbud, J. Weyman: Resultants and Chow forms via exterior syzygies, Journal of the American Mathematical Society, vol. 16, 2003, pp. 537–579
with D. Eisenbud, G. Fløystad: Sheaf cohomology and free resolutions over exterior algebras, Transactions of the American Mathematical Society, vol. 355, 2003, pp. 4397–4426, Arxiv
as editor with Alicia Dickenstein, Andrew J. Sommese: Algorithms in Algebraic Geometry, Springer 2008
with D. Eisenbud: Betti numbers of graded modules and cohomology of vector bundles, Journal of the American Mathematical Society, vol. 22, 2009, pp. 859–888
with David Eisenbud: Betti Numbers of Syzygies and Cohomology of Coherent Sheaves, ICM 2010, Hyderabad, Arxiv
with Burcin Erocal et al.: Refined Algorithms to Compute Syzygies, J. Symb. Comput., vol. 74, 2016, pp. 308–327, Arxiv
References
Living people
20th-century German mathematicians
21st-century German mathematicians
Brandeis University alumni
Academic staff of the University of Bayreuth
Academic staff of Saarland University
Algebraic geometers
Fellows of the American Mathematical Society
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/Discrete%20spectrum%20%28mathematics%29 | In mathematics, specifically in spectral theory, a discrete spectrum of a closed linear operator is defined as the set of isolated points of its spectrum such that the rank of the corresponding Riesz projector is finite.
Definition
A point
in the spectrum of a closed linear operator in the Banach space with domain is said to belong to discrete spectrum of if the following two conditions are satisfied:
is an isolated point in ;
The rank of the corresponding Riesz projector is finite.
Here is the identity operator in the Banach space and is a smooth simple closed counterclockwise-oriented curve bounding an open region such that is the only point of the spectrum of in the closure of ; that is,
Relation to normal eigenvalues
The discrete spectrum coincides with the set of normal eigenvalues of :
Relation to isolated eigenvalues of finite algebraic multiplicity
In general, the rank of the Riesz projector can be larger than the dimension of the root lineal of the corresponding eigenvalue, and in particular it is possible to have , . So, there is the following inclusion:
In particular, for a quasinilpotent operator
one has
, ,
,
.
Relation to the point spectrum
The discrete spectrum of an operator is not to be confused with the point spectrum , which is defined as the set of eigenvalues of .
While each point of the discrete spectrum belongs to the point spectrum,
the converse is not necessarily true: the point spectrum does not necessarily consist of isolated points of the spectrum, as one can see from the example of the left shift operator,
For this operator, the point spectrum is the unit disc of the complex plane, the spectrum is the closure of the unit disc, while the discrete spectrum is empty:
See also
Spectrum (functional analysis)
Decomposition of spectrum (functional analysis)
Normal eigenvalue
Essential spectrum
Spectrum of an operator
Resolvent formalism
Riesz projector
Fredholm operator
Operator theory
References
Spectral theory |
https://en.wikipedia.org/wiki/Homotopy%20theory | In mathematics, homotopy theory is a systematic study of situations in which maps can come with homotopies between them. It originated as a topic in algebraic topology but nowadays is learned as an independent discipline. Besides algebraic topology, the theory has also been used in other areas of mathematics such as algebraic geometry (e.g., A1 homotopy theory) and category theory (specifically the study of higher categories).
Concepts
Spaces and maps
In homotopy theory and algebraic topology, the word "space" denotes a topological space. In order to avoid pathologies, one rarely works with arbitrary spaces; instead, one requires spaces to meet extra constraints, such as being compactly generated, or Hausdorff, or a CW complex.
In the same vein as above, a "map" is a continuous function, possibly with some extra constraints.
Often, one works with a pointed space—that is, a space with a "distinguished point", called a basepoint. A pointed map is then a map which preserves basepoints; that is, it sends the basepoint of the domain to that of the codomain. In contrast, a free map is one which needn't preserve basepoints.
Homotopy
Let I denote the unit interval. A family of maps indexed by I, is called a homotopy from to if is a map (e.g., it must be a continuous function). When X, Y are pointed spaces, the are required to preserve the basepoints. A homotopy can be shown to be an equivalence relation. Given a pointed space X and an integer , let be the homotopy classes of based maps from a (pointed) n-sphere to X. As it turns out, are groups; in particular, is called the fundamental group of X.
If one prefers to work with a space instead of a pointed space, there is the notion of a fundamental groupoid (and higher variants): by definition, the fundamental groupoid of a space X is the category where the objects are the points of X and the morphisms are paths.
Cofibration and fibration
A map is called a cofibration if given (1) a map and (2) a homotopy , there exists a homotopy that extends and such that . To some loose sense, it is an analog of the defining diagram of an injective module in abstract algebra. The most basic example is a CW pair ; since many work only with CW complexes, the notion of a cofibration is often implicit.
A fibration in the sense of Serre is the dual notion of a cofibration: that is, a map is a fibration if given (1) a map and (2) a homotopy , there exists a homotopy such that is the given one and . A basic example is a covering map (in fact, a fibration is a generalization of a covering map). If is a principal G-bundle, that is, a space with a free and transitive (topological) group action of a (topological) group, then the projection map is an example of a fibration.
Classifying spaces and homotopy operations
Given a topological group G, the classifying space for principal G-bundles ("the" up to equivalence) is a space such that, for each space X,
{principal G-bundle on X} / ~
where
the |
https://en.wikipedia.org/wiki/FIVB%20Volleyball%20Women%27s%20Nations%20League%20statistics | This article gives the summarized final standings of each FIVB Volleyball Women's Nations League tournament, an annual competition involving national women's volleyball teams.
After the fifth edition in 2023, United States won three golds (2018, 2019, 2021), Italy won one gold medal (2022), Turkey also won gold (2023), silver (2018) and bronze (2021), Brazil won three silvers (2019, 2021, 2022), China won silver (2023) and two bronze (2018, 2019), Serbia won bronze medal (2022) and Poland won one bronze medal (2023).
Results summary
2018 FIVB Volleyball Women's Nations League statistics
Squads
The 16 national teams involved in the tournament were required to register a squad of 21 players, which every week's 14-player roster must be selected from. Each country must declare its 14-player roster two days before the start of each week's round-robin competition.
Preliminary round
Final round 2018
Final four
Tournament statistics
Matches played : 130
Attendance : 399,149 (3,070 per match)
Total sets (preliminary round) : 443
Total sets (final round) : 38
Total sets scored : 481 (3.7 per match)
Total points (preliminary round) : 19,250
Total points (final round) : 1,670
Total points scored : 20,920 (161 per match)
2019 FIVB Volleyball Women's Nations League statistics
Squads
The 16 national teams involved in the tournament were required to register a squad of 25 players, which every week's 14-player roster must be selected from. Each country must declare its 14-player roster two days before the start of each week's round-robin competition.
Preliminary round
Final round 2019
Final four
Tournament statistics
Matches played : 130
Attendance : 399,575 (3,074 per match)
Total sets (preliminary round) : 443
Total sets (final round) : 40
Total sets scored : 483 (3.7 per match)
Total points (preliminary round) : 19,486
Total points (final round) : 1,735
Total points scored : 21,221 (163 per match)
2021 FIVB Volleyball Women's Nations League statistics
Squads
The 16 teams compete in a round-robin format. The teams play 3 matches each week and compete five weeks long, for 120 matches. The top four teams after the preliminary round compete in the final round.
Preliminary round
Final round 2021
Final four
Tournament statistics
Matches played : 124
Attendance : 0 no spectators due to COVID-19 pandemic.
Total sets (preliminary round) : 446
Total sets (final round) : 14
Total sets scored : 460 (3.71 per match)
Total points (preliminary round) : 19,229
Total points (final round) : 651
Total points scored : 19,880 (160 per match)
2022 FIVB Women's Volleyball Nations League statistics
Squads
Preliminary round
In the 2022 tournament, the format of play was changed. The new format will see 16 women's teams competing in pools of 8 teams during the pool phase. Eight teams will then move into the final knockout phase of the competition.
Final round 2022
The VNL Finals will see the seven |
https://en.wikipedia.org/wiki/Boaz%20Barak | Boaz Barak (בועז ברק, born 1974) is an Israeli-American professor of computer science at Harvard University.
Early life and education
He graduated in 1999 with a B.Sc. in mathematics and computer science from Tel Aviv University. In 2004, he received his Ph.D. from the Weizmann Institute of Science with thesis Non-Black-Box Techniques in Cryptography under the supervision of Oded Goldreich. Barak was at the Institute for Advanced Study for two years from 2003 to 2005. He was an assistant professor in the computer science department of Princeton University from 2005 to 2010 and an associate professor from 2010 to 2011. From 2010 to 2016, he was a researcher at Microsoft's New England research laboratory. Since 2016, he is the Gordon McKay Professor of Computer Science in the Harvard John A. Paulson School of Engineering and Applied Sciences. He is a citizen of both Israel and the United States.
Career
He co-authored, with Sanjeev Arora, Computational Complexity: A Modern Approach, published by Cambridge University Press in 2009. Barak also wrote extensive notes with David Steurer on the sum of squares algorithm and occasionally blogs on the Windows on Theory blog. In 2013, he, Robert J. Goldston, and Alexander Glaser worked to design a "zero-knowledge" system to verify that warheads designated for disarmament are actually what they purport to be. By directing high-energy neutrons into the warhead under investigation, and comparing the distribution passing through to the distribution that passed through a known warhead, inspectors can determine whether a warhead being disarmed is genuine or a ruse designed to evade treaty requirements, without leaking nuclear secrets. For this work, he was selected for Foreign Policy's Top 100 Global Thinkers issue for 2014.
In 2014 Barak was an invited speaker at the International Congress of Mathematics at Seoul. With Mark Braverman, Xi Chen, and Anup Rao, he won the 2016 SIAM Outstanding Paper Prize for the paper “How to Compress Interactive Communication”. He was named to the 2022 class of ACM Fellows, "for contributions to theoretical computer science, in particular cryptography and computational complexity, and service to the theory community".
Patents
U.S. Patent 7,003,677, “Method for operating proactively secured applications on an insecure system” with Amir Herzberg, Dalit Naor and Eldad Shai of IBM Haifa Research Lab. Filed November 1999, granted February 2006.
References
External links
Israeli computer scientists
American computer scientists
1974 births
Living people
Tel Aviv University alumni
Weizmann Institute of Science alumni
Princeton University faculty
Harvard John A. Paulson School of Engineering and Applied Sciences faculty
21st-century Israeli mathematicians
21st-century American mathematicians
Theoretical computer scientists
Fellows of the Association for Computing Machinery |
https://en.wikipedia.org/wiki/Dirk%20Kroese | Dirk Pieter Kroese (born 1963) is a Dutch-Australian mathematician and statistician, and Professor at the University of Queensland. He is known for several contributions to applied probability, kernel density estimation, Monte Carlo methods and rare event simulation. He is, with Reuven Rubinstein, a pioneer of the Cross-Entropy (CE) method.
Biography
Born in Wapenveld (municipality of Heerde), Dirk Kroese received his MSc (Netherlands Ingenieur (ir) degree) in 1986 and his Ph.D. (cum laude) in 1990, both from the Department of Applied Mathematics at the University of Twente. His dissertation was entitled Stochastic Models in Reliability. His PhD advisors were Joseph H. A. de Smit and Wilbert C. M. Kallenberg. Part of his PhD research was carried out at Princeton University under the guidance of Erhan Çinlar.
He has held teaching and research positions at University of Texas at Austin (1986), Princeton University (1988–1989), the University of Twente (1991–1998), the University of Melbourne (1997), and the University of Adelaide (1998–2000). Since 2000 he has been working at the University of Queensland, where he became a full professor in 2010.
Work
Kroese's work spans a wide range of topics in applied probability and mathematical statistics, including telecommunication networks, reliability engineering, point processes, kernel density estimation, Monte Carlo methods, rare-event simulation, cross-entropy methods, randomized optimization, and machine learning. He is a Chief Investigator of the Australian Research Council Centre of Excellence in Mathematical and Statistical Frontiers (ACEMS). He has over 120 peer-reviewed publications, including six monographs.
Publications
Books
Rubinstein, R.Y., Kroese, D.P. (2004). The Cross-Entropy Method: A Unified Approach to Combinatorial Optimization, Monte-Carlo Simulation, and Machine Learning, Springer, New York.
Rubinstein, R. Y. , Kroese, D. P. (2007). Simulation and the Monte Carlo Method, 2nd edition, John Wiley & Sons.
Kroese, D.P., Taimre, T., and Botev, Z.I. (2011). Handbook of Monte Carlo Methods, Wiley Series in Probability and Statistics, John Wiley & Sons, New York.
Kroese, D.P. and Chan, J.C.C. (2014). Statistical Modeling and Computation, Springer, New York.
Rubinstein, R. Y. , Kroese, D. P. (2017). Simulation and the Monte Carlo Method, 3rd edition, John Wiley & Sons.
Kroese, D.P., Botev, Z.I., Taimre, T and Vaisman, R. (2019) Data Science and Machine Learning: Mathematical and Statistical Methods, Chapman & Hall/CRC.
Kroese, D.P., Botev, Z.I. (2023) An Advanced Course in Probability and Stochastic Processes, Chapman & Hall/CRC.
Selected articles
de Boer, Kroese, D.P., Mannor, S. and Rubinstein, R.Y. (2005) A tutorial on the cross-entropy method. Annals of Operations Research 134 (1), 19–67.
Botev, Z.I., Grotowski J.F., Kroese, D.P. (2010). Kernel density estimation via diffusion. The Annals of Statistics 38 (5), 2916–2957.
Kroese, D.P., Brereton. T., Taimre, T. and Botev |
https://en.wikipedia.org/wiki/2007%20Rugby%20World%20Cup%20statistics | This article documents statistics from the 2007 Rugby World Cup, held in France from 7 September to 20 October.
Team statistics
The following table shows the team's results in some categories. Two red cards were issued during the tournament.
Source: RugbyWorldCup.com
Player records
Most points
Note: ranked according to points then number of appearances
Key: Pos = position; Apps = appearances; Con = conversions; Pen = penalties; Drop = drop goals
Source: RugbyWorldCup.com
Most tries
Key: Pos = position; Apps = appearances
Discipline
Citing/bans
There was some controversy over post-match citings by IRB Citing Commissioners because of apparent inconsistencies between disciplinary sanctions.
Hat-tricks
Unless otherwise noted, players in this list scored a hat-trick of tries.
Stadiums
See also
2011 Rugby World Cup statistics
Records and statistics of the Rugby World Cup
List of Rugby World Cup hat-tricks
External links
Rugby World Cup 2007 Tournament statistics
Rugby World Cup Stats
Disciplinary Decisions
References
Statistics
Rugby World Cup records and statistics |
https://en.wikipedia.org/wiki/Ring%20of%20modular%20forms | In mathematics, the ring of modular forms associated to a subgroup of the special linear group is the graded ring generated by the modular forms of . The study of rings of modular forms describes the algebraic structure of the space of modular forms.
Definition
Let be a subgroup of that is of finite index and let be the vector space of modular forms of weight . The ring of modular forms of is the graded ring .
Example
The ring of modular forms of the full modular group is freely generated by the Eisenstein series and . In other words, is isomorphic as a -algebra to , which is the polynomial ring of two variables over the complex numbers.
Properties
The ring of modular forms is a graded Lie algebra since the Lie bracket of modular forms and of respective weights and is a modular form of weight . A bracket can be defined for the -th derivative of modular forms and such a bracket is called a Rankin–Cohen bracket.
Congruence subgroups of SL(2, Z)
In 1973, Pierre Deligne and Michael Rapoport showed that the ring of modular forms is finitely generated when is a congruence subgroup of .
In 2003, Lev Borisov and Paul Gunnells showed that the ring of modular forms is generated in weight at most 3 when is the congruence subgroup of prime level in using the theory of toric modular forms. In 2014, Nadim Rustom extended the result of Borisov and Gunnells for to all levels and also demonstrated that the ring of modular forms for the congruence subgroup is generated in weight at most 6 for some levels .
In 2015, John Voight and David Zureick-Brown generalized these results: they proved that the graded ring of modular forms of even weight for any congruence subgroup of is generated in weight at most 6 with relations generated in weight at most 12. Building on this work, in 2016, Aaron Landesman, Peter Ruhm, and Robin Zhang showed that the same bounds hold for the full ring (all weights), with the improved bounds of 5 and 10 when has some nonzero odd weight modular form.
General Fuchsian groups
A Fuchsian group corresponds to the orbifold obtained from the quotient of the upper half-plane . By a stacky generalization of Riemann's existence theorem, there is a correspondence between the ring of modular forms of and the a particular section ring closely related to the canonical ring of a stacky curve.
There is a general formula for the weights of generators and relations of rings of modular forms due to the work of Voight and Zureick-Brown and the work of Landesman, Ruhm, and Zhang.
Let be the stabilizer orders of the stacky points of the stacky curve (equivalently, the cusps of the orbifold ) associated to . If has no nonzero odd weight modular forms, then the ring of modular forms is generated in weight at most and has relations generated in weight at most . If has a nonzero odd weight modular form, then the ring of modular forms is generated in weight at most and has relations generated in weight at most .
Applicatio |
https://en.wikipedia.org/wiki/Stacky%20curve | In mathematics, a stacky curve is an object in algebraic geometry that is roughly an algebraic curve with potentially "fractional points" called stacky points. A stacky curve is a type of stack used in studying Gromov–Witten theory, enumerative geometry, and rings of modular forms.
Stacky curves are deeply related to 1-dimensional orbifolds and therefore sometimes called orbifold curves or orbicurves.
Definition
A stacky curve over a field is a smooth proper geometrically connected Deligne–Mumford stack of dimension 1 over that contains a dense open subscheme.
Properties
A stacky curve is uniquely determined (up to isomorphism) by its coarse space (a smooth quasi-projective curve over ), a finite set of points (its stacky points) and integers (its ramification orders) greater than 1. The canonical divisor of is linearly equivalent to the sum of the canonical divisor of and a ramification divisor :
Letting be the genus of the coarse space , the degree of the canonical divisor of is therefore:
A stacky curve is called spherical if is positive, Euclidean if is zero, and hyperbolic if is negative.
Although the corresponding statement of Riemann–Roch theorem does not hold for stacky curves, there is a generalization of Riemann's existence theorem that gives an equivalence of categories between the category of stacky curves over the complex numbers and the category of complex orbifold curves.
Applications
The generalization of GAGA for stacky curves is used in the derivation of algebraic structure theory of rings of modular forms.
The study of stacky curves is used extensively in equivariant Gromov–Witten theory and enumerative geometry.
References
Moduli theory |
https://en.wikipedia.org/wiki/Frazan | Wesley Frazan Bernardo (born 5 June 1996), simply known as Frazan, is a Brazilian footballer who plays as a central defender for Ituano.
Career statistics
References
External links
1996 births
Living people
People from Macaé
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Fluminense FC players
Clube de Regatas Brasil players
Associação Chapecoense de Futebol players
Ituano FC players
Footballers from Rio de Janeiro (state) |
https://en.wikipedia.org/wiki/Mich%C3%A8le%20Raynaud | Michèle Raynaud (born Michèle Chaumartin;
) is a French mathematician, who works on algebraic geometry and who worked with Alexandre Grothendieck in Paris in the 1960s at the Institut des hautes études scientifiques (IHÉS).
Biography
Raynaud was a member of the séminaire de géométrie algébrique du Bois Marie (SGA) 1 and 2 and obtained her doctorate in 1972, supervised by Grothendieck at Paris Diderot University. Her thesis was entitled Théorèmes de Lefschetz en cohomologie cohérente et en cohomologie étale. Grothendieck wrote about her doctoral thesis in Récoltes et Semailles (p.168 Chapitre 8.1.) describing it as original, entirely independent, and a major work.
Michèle Raynaud was married to the mathematician Michel Raynaud who was also a member of the Grothendieck school.
Publications
Théorèmes de Lefschetz en cohomologie cohérente et en cohomologie étale, Bull. Soc. Math. France, Memoirs Nr. 41, 1975
Théorèmes de Lefschetz en cohomologie étale des faisceaux en groupes non nécessairement commutatifs. C. R. Acad. Sci. Paris Sér. A-B 270 1970
Théorème de représentabilité relative sur le foncteur de Picard
Schémas en groupes. Séminaire de l'Institut des Hautes Etudes Scientifiques
Notes and references
1938 births
20th-century French mathematicians
21st-century French mathematicians
Algebraic geometers
Living people |
https://en.wikipedia.org/wiki/William%20Kantor | William M. Kantor (born September 19, 1944) is an American mathematician who works in finite group theory and finite geometries, particularly in computational aspects of these subjects.
Education and career
Kantor graduated with a bachelor's degree from Brooklyn College in 1964. He went on to graduate studies at the University of Wisconsin, receiving his PhD in 1968 under the supervision of Peter Dembowski and R. H. Bruck. He then worked at the University of Illinois at Chicago from 1968 to 1971 before moving in 1971 to the University of Oregon, where he remained for the rest of his career.
Kantor's research mostly involves finite groups, often in relation to finite geometries and computation. Algorithms developed by him have found use, for example, in the GAP computer algebra system.
Kantor has written over 170 papers, and has advised 7 PhD students.
Significant publications
Books and monographs
Journal articles
Awards and honors
In 2013, Kantor was named a fellow of the American Mathematical Society as a member of the inaugural class of fellows.
In 2004, a conference "Finite geometries, groups, and computation" was held in honor of Kantor's 60th birthday.
In 1998, Kantor gave an invited talk at the International Congress of Mathematicians in Berlin.
References
20th-century American mathematicians
21st-century American mathematicians
Brooklyn College alumni
University of Wisconsin–Madison alumni
University of Oregon faculty
University of Illinois Chicago faculty
Fellows of the American Mathematical Society
Living people
1944 births |
https://en.wikipedia.org/wiki/2003%20Rugby%20World%20Cup%20statistics | This article documents statistics from the 2003 Rugby World Cup, held in Australia from 10 October to 22 November.
Team statistics
The following table shows the team's results in major statistical categories. No teams were shown a red card during the tournament.
Source: RugbyWorldCup.com
Top point scorers
Source: RugbyWorldCup.com
Top try scorers
Source: RugbyWorldCup.com
Hat-tricks
Unless otherwise noted, players in this list scored a hat-trick of tries.
Stadiums
Attendances
Top 10 highest attendances.
Lowest attendance: 15,457 – vs , York Park, Launceston, 30 October 2003
See also
2007 Rugby World Cup statistics
Records and statistics of the Rugby World Cup
List of Rugby World Cup hat-tricks
External links
2003 Rugby World Cup Official site (Archived)
Rugby World Cup 2003 Tournament statistics
2003 Rugby World Cup Reports and Statistics
References
Statistics
Rugby World Cup records and statistics |
https://en.wikipedia.org/wiki/Rebecca%20Hoyle | Rebecca Bryony Hoyle is a professor of applied mathematics at the University of Southampton, and associate dean for research at Southampton. She was the London Mathematical Society Mary Cartwright Lecturer for 2017.
Research
Hoyle describes herself as an interdisciplinary mathematician working on dynamical processes in biology and social science. Her 2017 LMS Mary Cartwright Lecture, entitled Transgenerational plasticity and environmental change, illustrates her work in evolutionary biology but her research is broader than that, touching on diverse topics in applied mathematics including dynamic network analysis and industrial ecology.
She is the author of the book Pattern Formation: An Introduction to Methods (Cambridge University Press, 2006).
Education and career
Hoyle read mathematics at the University of Cambridge, where she earned a bachelor's degree in 1989, took the Mathematical Tripos in 1990, and completed her Ph.D. in 1994. Her dissertation, Instabilities of Three Dimensional Patterns, was supervised by Michael Proctor.
After postdoctoral study at Northwestern University she returned to Cambridge as a research and teaching fellow, but after a brief stint at McKinsey & Company she moved to the University of Surrey in 2000.
She moved again to Southampton in 2016.
Awards
Hoyle won the inaugural Hedy Lamarr Prize in 2021, awarded by the Institute of Mathematics and its Applications for knowledge exchange in mathematics and its applications. Hoyle is a founding member of the Virtual Forum for Knowledge Exchange in Mathematical Sciences (V-KEMS) and was awarded the prize primarily for her role in setting up V-KEMS and for promoting effective knowledge exchange during the COVID-19 pandemic.
References
External links
Home page
Year of birth missing (living people)
Living people
British mathematicians
Women mathematicians
Applied mathematicians
Alumni of the University of Cambridge
Academics of the University of Cambridge
Academics of the University of Surrey
Academics of the University of Southampton |
https://en.wikipedia.org/wiki/Julie%20E.%20Backer | Julie Elisabeth Backer (31 August 1890 – 31 December 1977) was a Norwegian statistician who was bureau chief for Norway's Central Bureau of Statistics 1936–1956 specializing in the study of mortality.
Biography
She was born in Kristiania as a daughter of architect Herman Backer (1856–1932) and Elisabeth Christiane née Boeck (1868–1958). After finishing her secondary education in 1909 she took the cand.oecon. degree in 1912. She worked a few years as a calculator at the life insurance company Gjensidige before being employed in Statistics Norway in 1917.
In 1920-1921 she studied at the University of Montpellier, and in 1922 she worked at the L'Institut international de Commerce in Brussels. In 1929 she studied Medical Statistics at the League of Nations in Geneva.
She served as bureau chief for Statistics Norway in 1936–1956, and later became a consultant in the research department there.
In 1938 she took the dr.philos. degree with the thesis Dødeligheten blandt lungetuberkuløse, on the mortality among tuberculosis victims.
Her principal interests and responsibilities lay in health and population statistics. She became head of her division in 1936 and served in that post until her retirement in 1956. After her retirement, she still continued her research and carried on publishing.
She was an elected member of the International Statistical Institute, the International Union for the Scientific Study of Population and a World Health Organization expert panel on statistical classification of diseases.
Notable works
Backer was widely published, particularly concerning population statistics and medical-statistical topics.
(1947) Population Statistics and Population Registration in Norway. Part I. The Vital Statistics of Norway: an Historical Review, Population Studies, 1(2), 212-226
(1948) Population statistics and population registration in Norway. Part 2, Population Studies, 2(3), 318-338
(1961) Trend of Mortality and Causes of Death in Norway 1856-1955 (Dødeligheten og dens årsaker i Norge. 1856–1955)
(1965) Marriages, Births and Migrations in Norway 1856-1960 (Ekteskap, fødsler og vandringer i Norge 1856–1960)
(1967) Infant Mortality Problems in Norway, Pediatrics, 41(5)
References
1890 births
1977 deaths
Scientists from Oslo
Norwegian statisticians
Women statisticians
Elected Members of the International Statistical Institute |
https://en.wikipedia.org/wiki/Yongbin%20Ruan | Yongbin Ruan (; born 14 February 1963) is a Chinese mathematician, specializing in algebraic geometry, differential geometry, and symplectic geometry with applications to string theory.
Ruan studied from 1978 at Sichuan University with Benke Certificate of graduation followed by a master's degree in 1985. In 1985/86 he was a teaching assistant at the University of Wisconsin–Madison. In 1991 he received his Ph.D. from the University of California, Berkeley with thesis Gauge theory and its applications to Riemannian Geometry under the supervision of Robion Kirby (and Tomasz Mrowka). As a postdoctoral researcher he was at Michigan State University. In 1993 he became an assistant professor at the University of Utah. At the University of Wisconsin–Madison he became in 1995 an associate professor and in 1999 a full professor. Since 2006 he is a professor at the University of Michigan.
He has been a visiting professor at the ETH Zurich, in Hong Kong, and at MIT. He was in 1993 and again in 2004 at the Institut des hautes études scientifiques, in 1993 at the Max Planck Institute for Mathematics, in 1994 at Cambridge's Isaac Newton Institute, and in 1994 at the Mathematical Sciences Research Institute.
In 1998 he was an Invited Speaker with talk Quantum Cohomology and its Applications at the International Congress of Mathematicians in Berlin. From 1995 to 1997 he was a Sloan Research Fellow. He became a Fellow of the American Mathematical Society in the class of 2015.
Selected publications
with W. Chen: Orbifold Gromov-Witten theory. Orbifolds in mathematics and physics (Madison, WI, 2001), 25–85, Contemp. Math., 310, Amer. Math. Soc., Providence, RI, 2002
with A. Li: Symplectic surgery and Gromov-Witten invariants of Calabi-Yau 3-folds. Invent. Math. 145 (2001), no. 1, 151–218.
with Gang Tian: Higher genus symplectic invariants and sigma models coupled with gravity, Inventiones Mathematicae, vol. 130, 1997, pp. 455–516. arXiv preprint
Topological sigma model and Donaldson type invariants in Gromov theory, Duke Mathematical Journal, vol. 83, 1996, pp. 63–98
with Gang Tian: A mathematical theory of quantum cohomology, Journal of Differential Geometry, vol. 42, 1995, pp. 259–367
Stringy geometry and topology of orbifolds, Contemporary Mathematics, vol. 312, arXiv preprint
References
1963 births
Living people
20th-century Chinese mathematicians
21st-century Chinese mathematicians
Chinese expatriates in the United States
Fellows of the American Mathematical Society
Sichuan University alumni
Sloan Research Fellows
University of California, Berkeley alumni
University of Michigan faculty
University of Utah faculty
University of Wisconsin–Madison faculty |
https://en.wikipedia.org/wiki/United%20States%20men%27s%20Olympic%20water%20polo%20team%20statistics%20%28goalkeepers%29 | This article contains lists of goalkeepers for the United States men's national water polo team at the Summer Olympics, and is part of the United States men's Olympic water polo team statistics series. The lists are updated as of March 30, 2020.
Abbreviations
By tournament
The following table is pre-sorted by edition of the Olympics (in ascending order), number of matches played (in descending order), Cap number or name of the goalkeeper (in ascending order), respectively.
*Qualified but withdrew.
Appearances
The following table is pre-sorted by number of Olympic appearances (in descending order), date of the last Olympic appearance (in ascending order), date of the first Olympic appearance (in ascending order), name of the goalkeeper (in ascending order), respectively.
Ten American goalkeepers have each made at least two Olympic appearances.
Craig Wilson is the first starting goalkeeper for the United States men's national team to have competed in three Olympic Games (1984–1992). He is the only starting goalkeeper to have won two Olympic medals (1984 , 1988 ).
Historical progression – appearances of goalkeepers
The following table shows the historical progression of appearances of goalkeepers at the Olympic Games.
Match played
Goalkeepers with at least one match played at the Olympics
The following table is pre-sorted by number of total matches played (in descending order), edition of the Olympics (in ascending order), name of the goalkeeper (in ascending order), respectively.
Craig Wilson is the American goalkeeper with the most matches played at the Olympic Games.
Historical progression – total matches played by goalkeepers
The following table shows the historical progression of the record of total matches played by goalkeepers at the Olympic Games.
Goalkeepers with at least one match played in an Olympic tournament
The following table is pre-sorted by number of matches played (in descending order), edition of the Olympics (in ascending order), Cap number or name of the goalkeeper (in ascending order), respectively.
Shots saved and efficiency
The following table is pre-sorted by edition of the Olympics (in ascending order), Cap number or name of the goalkeeper (in ascending order), respectively.
See also
United States men's Olympic water polo team statistics
United States men's Olympic water polo team statistics (appearances)
United States men's Olympic water polo team statistics (matches played)
United States men's Olympic water polo team statistics (scorers)
United States men's Olympic water polo team statistics (medalists)
List of United States men's Olympic water polo team rosters
United States men's Olympic water polo team results
United States men's national water polo team
References
External links
Official website
Men's Olympic statistics 4
Olympic men's statistics 4
United States Olympic men's statistics 4 |
https://en.wikipedia.org/wiki/Eleonora%20Patacchini | Eleonora Patacchini is an economist specializing in applied economics and applied statistics who grew up in Italy with her mother who was also a professor. She is a professor and associate department chair at Cornell University in the Department of Economics. Her research focuses on the empirical analysis of behavioral models of strategic interactions for decision making. Patacchini is an associate editor at Journal of Urban Economics and Statistical Methods & Applications. She is a columnist at the VOX CEPR Policy Portal where research-based policy analysis and commentary from leading economists are published frequently. She is also a co-editor of E-journal Economics and associate editor of the Journal of Urban Economics.
Education
Patacchini studied at the Sapienza University of Rome, where she graduated summa cum laude with a bachelor's degree in the field of sciences. She went on to pursue a Master of Science in economics at the University Pompeu Fabra in Spain, after which point she returned to Italy to complete her Ph.D. in statistics in 2003 at the Sapienza University of Rome. Patacchini then pursued her second Ph.D. in the field of economics at the University of Southampton.
Selected journal publications
"Mothers, Peers, and Gender-Role Identity" in the Journal of the European Economic Association and "Social Networks in Policy Making" in the Annual Review of Economics.
Patacchini's research primarily focuses on behavioral economics where an individual's behavior is influenced by the immediate social contacts or circle, particularly the role of women in economy. Her work also explores the labor market impacts through the dimensions within families and social circles such as friendships and other relationships. Her work has also focused on the cultural norms that shapes decision making in the context of women in the workforce and the role of social connections and/or relationships in legislatures, especially the US Congress and how it influences policy making.
"Self-control and peer groups: An empirical analysis" in the Journal of Economic Behavior & Organization
Patacchini has conducted an empirical analysis with Marco Battaglini and Carlos Díaz on self-control and peer groups, where they found evidence consistent with the two key predictions of this theory regarding the relationship between an agent's expected level of self-control and the size and composition of his or her social circles: (i) students embedded in social circles have more self-control than those who are alone and their self-control is increasing in the size of their social group; (ii) students’ self-control is, however, a non-monotonic hump-shaped function of the average self-control of their friends.
"Treatment Effects With Heterogeneous Externalities" in the Journal of Business & Economic Statistics
In this article, Tiziano Arduini, Eleonora Patacchini and Edoardo Rainone propose a new method for estimating heterogeneous externalities in policy analysis when s |
https://en.wikipedia.org/wiki/Orthobifastigium | In geometry, the orthobifastigium (digonal orthobicupola), is formed by gluing together two triangular prisms on their square faces, but without twisting. With regular faces, it has coplanar faces, so it is a limiting case of a Johnson solid. More generally the square can be isosceles trapezoids.
It is topologically a self-dual polyhedron and can also be called an elongated octahedron and self-dual octahedron.
These polyhedra resemble the dual gyrobifastigium in that both shapes have eight vertices and eight faces, with the faces forming a belt of four quadrilaterals separating two pairs of triangles from each other. However, in the dual gyrobifastigium the two pairs of triangles are twisted with respect to each other while in the orthobifastigium they are not.
Regular-faced
It can be made with regular faces, squares and triangles, but the triangles will be coplanar.
See also
Elongated octahedron
References
External links
Space-filling polyhedra |
https://en.wikipedia.org/wiki/Kurt%20Keutzer | Kurt Keutzer (born November 9, 1955) is an American computer scientist.
Early life and education
Kurt Keutzer grew up in Indianapolis, Indiana. He earned a bachelor's degree in mathematics from Maharishi University of Management (formerly Mararishi International University) in 1978, and a PhD in computer science from Indiana University in 1984.
Career
Keutzer joined Bell Labs in 1984, where he worked on logic synthesis. In 1991, he joined the electronic design automation company Synopsys, where he was promoted to chief technology officer. He subsequently joined the University of California, Berkeley as a professor in 1998.
His research at Berkeley has focused on the intersection of high performance computing and machine learning. Working with a number of graduate students at Berkeley, Keutzer developed FireCaffe, which scaled the training of deep neural networks to over 100 GPUs. Later, with LARS and LAMB optimizers, they scaled it to over 1000 servers. Keutzer and his students also developed deep neural networks such as SqueezeNet, SqueezeDet, and SqueezeSeg, which can run efficiently on mobile devices.
Keutzer co-founded DeepScale with his PhD student Forrest Iandola in 2015, and Keutzer served as the company's chief strategy officer. The firm was focused on developing deep neural networks for advanced driver assistance systems in passenger cars.
On October 1, 2019, electric vehicle manufacturer Tesla, Inc. purchased DeepScale to augment and accelerate its self-driving vehicle work.
Honors and awards
Keutzer was named a Fellow of the IEEE in 1996.
Recipient of DAC Most Influential Paper (MIP) award (24th DAC, 1987) for his "Dagon: technology binding and local optimization by DAG matching” publication.
Books by Keutzer
1988. Dwight Hill, Don Shugard, John Fishburn, and Kurt Keutzer. Algorithms and Techniques for VLSI Layout Synthesis. Springer.
1994. Srinivas Devadas, Abhijit Ghosh, and Kurt Keutzer. Logic Synthesis. McGraw-Hill.
2002. David Chinnery and Kurt Keutzer. Closing the Gap Between ASIC & Custom: Tools and Techniques for High-Performance ASIC Design. Springer. (2nd edition appeared in 2007.)
2004. Pinhong Chen, Desmond A. Kirkpatrick, and Kurt Keutzer. Static Crosstalk-Noise Analysis: For Deep Sub-Micron Digital Designs. Springer.
2005. Matthias Gries and Kurt Keutzer. Building ASIPs: The Mescal Methodology. Springer.
References
Living people
1955 births
American computer scientists
Scientists at Bell Labs
21st-century American scientists
Machine learning researchers
20th-century American scientists
Indiana University alumni
Fellow Members of the IEEE
UC Berkeley College of Engineering faculty
21st-century American businesspeople
American technology company founders
American chief technology officers
20th-century American businesspeople |
https://en.wikipedia.org/wiki/Jeffrey%20Hoffstein | Jeffrey Ezra Hoffstein (born September 28, 1953 in New York City) is an American mathematician, specializing in number theory, automorphic forms, and cryptography.
Education and career
Hoffstein graduated with a bachelor's degree in 1974 from Cornell University. He received his Ph.D. in 1978 from Massachusetts Institute of Technology with thesis Class numbers of totally complex quadratic extensions of totally real fields under the supervision of Harold Stark. Hoffstein was a postdoc at the Institute for Advanced Study and then at the University of Cambridge. From 1980 to 1982 he was an assistant professor at Brown University. From 1982 he was an assistant professor and then an associate professor at the University of Rochester. Since 1989 he is a full professor at Brown University and he was from 2009 to 2013 the chair of the mathematics department there.
His research uses analytic and algebraic methods to investigate L-series of automorphic forms over GL(n) and number fields. With co-workers he has developed new techniques for Dirichlet series in several complex variables. He was several times a visiting scholar at the Institute for Advanced Study (1978/79, 1985, 1986/87). At MSRI, in the academic year 1994/95 he initiated seminars on automorphic functions. In 1984 he was a Fulbright Fellow. He was a visiting professor at the University of Texas at Austin in the spring of 1984 and at the University of Göttingen in the fall of 1986. He became a Fellow of the American Mathematical Society in the class of 2019.
In 1996, Hoffstein, along with Jill Pipher, Joseph Silverman, and Daniel Liemann (Hoffstein's former doctoral student), founded NTRU Cryptosystems, Inc. to market their cryptographic algorithms, NTRUEncrypt and NTRUSign. NTRU Cryptosystems was acquired by Security Innovation in 2009.
Selected publications
with Jill Pipher, Joseph Silverman: An Introduction to Mathematical Cryptography. Springer-Verlag, 2008. 2014, 2nd edition
Some analytic bounds for zeta functions and class numbers, Inventiones Mathematicae, vol. 55, 1979, pp. 37–47
with Dorian Goldfeld: Eisenstein series of half integral weight and the mean value of real Dirichlet L-series, Inv. Math., vol. 80, 1985, pp. 185–208
with Daniel Bump, Solomon Friedberg: On some applications of automorphic forms to number theory, Bulletin AMS, Band 33, 1996, pp. 157–175,
with Bump Cubic metaplectic forms on GL(3), Inv. Math., 84, 1986, pp. 481–505
with Bump, D. Ginzburg The symmetric cube, Inv. Math., 125, 1996, pp. 413–449
with Bump, Friedberg Eisenstein series on the metaplectic group and non vanishing theorems for automorphic L-functions and their derivatives, Annals of Mathematics, vol. 131, 1990, pp. 53–127
with Bump, Friedberg Nonvanishing theorems for L-functions of modular forms and their derivatives, Inv. Math., 102, 1990, 543–618
with Friedberg Nonvanishing theorems for automorphic L-functions on GL(2), Annals of Mathematics, vol. 142, 1995, pp. 385–423
with P. Lo |
https://en.wikipedia.org/wiki/Bernardo%20Uribe | Bernardo Uribe Jongbloed (born 1975) is a Colombian mathematician. Uribe's research deals with algebraic geometry and topology with string theory applications.
Biography
Uribe graduated from secondary school in Bogotá and then studied from 1994 to 1998 at the Universidad de Los Andes. In 2002 he received his PhD from the University of Wisconsin-Madison with thesis Twisted K-Theory and Orbifold Cohomology of the Symmetric Product under the supervision of Alejandro Ádem and Yongbin Ruan. He was a postdoc at the Max Planck Institute for Mathematics in Bonn. In 2003/04 he was an assistant professor at the University of Michigan. He taught as a professor at the Universidad Nacional de Colombia and as a full professor from 2012 to 2014 at Bogotá's Universidad de los Andes. Since 2014 has been a professor at the Universidad del Norte in Barranquilla. In 2008/09 he was a visiting scholar in Mexico City. In 2010 he worked with Wolfgang Lück at the University of Münster.
Honors and awards
In 2012 he received a Humboldt Research Award, with which he was at the University of Bonn.
Uribe received the Mathematics Prize of the Third World Academy of Sciences in 2012. In 2018 he was an invited speaker with talk The evenness conjecture in equivariant unitary bordism at the International Congress of Mathematicians in Rio de Janeiro. From July 2017 to June 2019 he was President of the Colombian Mathematical Society.
Selected publications
with Ernesto Lupercio: Gerbes over orbifolds and twisted K-theory, Communications in Mathematical Physics, vol. 245, 2004, pp. 449–489
with Ernesto Lupercio: Loop groupoids, gerbes, and twisted sectors on orbifolds, 2001, Arxiv
Orbifold cohomology of the symmetric product, 2001, Arxiv
with Lupercio: An introduction to Gerbes on Orbifolds, Annales Mathématiques Blaise Pascal, Arxiv 2004
References
1975 births
Living people
21st-century Colombian mathematicians
University of Los Andes (Colombia) alumni
University of Wisconsin–Madison alumni
Topologists |
https://en.wikipedia.org/wiki/Helen%20Byrne | Helen M. Byrne is a mathematician based at the University of Oxford. She is Professor of Mathematical Biology in the university's Mathematical Institute and a Professorial Fellow in Mathematics at Keble College. Her work involves developing mathematical models to describe biomedical systems including tumours. She was awarded the 2019 Society for Mathematical Biology Leah Edelstein-Keshet Prize for exceptional scientific achievements and for mentoring other scientists and was appointed a Fellow of the Society in 2021.
Early life and education
Byrne attended Manchester High School for Girls. Eventually she studied mathematics at Newnham College, Cambridge, where she became interested in the applications of mathematics to real-world problems. She moved to Wadham College, Oxford for her graduate studies, where she earned a master's degree in Mathematical Modelling and Numerical Analysis. She remained at Oxford for her doctoral degree in applied mathematics. She was appointed as a postdoctoral fellow at the cyclotron unit at Hammersmith Hospital. There, she started working in mathematical and theoretical biology. The biomedical questions she worked on included fitting mathematical models to positron emission tomography scans to evaluate oxygen and glucose transport and consumption within solid tumours. After hearing Mark Chaplain talk about tumours at a conference she realised she could use her mathematical skills to study tumour growth.
Research and career
Byrne worked with Mark Chaplain at the University of Bath from 1993. She joined the University of Manchester Institute of Science and Technology as a lecturer in 1996. In 1998 Byrne joined the University of Nottingham, where she was promoted to Professor of Applied Mathematics in 2003. She was involved with the development of the Nottingham Centre for Mathematical Medicine and Biology, which she directed from 1999 to 2011.
She joined the faculty at the University of Oxford in 2011 where she was made Professor of Mathematical Biology based in the Mathematical Institute. Her research has considered mathematical models to describe biological tissue. She has explored how oxygen levels impact biological function, developing complex models that can describe disease progression. She was part of a team who demonstrated that cell cannibalism is involved in the development of inflammatory diseases.
Byrne was appointed Director of Equality and Diversity in the Mathematical, Physical and Life Sciences (MPLS) Division from 2016 to 2020. In 2018 she was awarded the Society for Mathematical Biology Leah Edelstein-Keshet Prize, being appointed a fellow of the society in 2021. Byrne is co-director of the University of Liverpool 3D BioNet (an interdisciplinary network looking at how cells grow in three dimensions) and was on the management group of the Engineering and Physical Sciences Research Council Cyclops Healthcare Network which ran from 2016 to 2019.
Selected publications
Personal life
Whilst a gradu |
https://en.wikipedia.org/wiki/Hausdorff%20Medal | The Hausdorff medal is a mathematical prize awarded every two years by the European Set Theory Society. The award recognises the work considered to have had the most impact within set theory among all articles published in the previous five years. The award is named after the German mathematician Felix Hausdorff (1868–1942).
Winners
2013: Hugh Woodin for his articles "Suitable extender models I" (J. Math. Log. 10 (2010), no. 1–2, pp. 101–339) and "Suitable extender models II: beyond ω-huge" (J. Math. Log. 11 (2011), no. 2, pp. 115–436).
2015: Ronald Jensen and John R. Steel for their article " without the measurable" (The Journal of Symbolic Logic, Volume 78, Issue 3 (2013), pp. 708–734).
2017: Maryanthe Malliaris and Saharon Shelah for their article "General topology meets model theory, on 𝔭 and 𝔱" (Proc. Natl. Acad. Sci. USA 110 (2013), no. 33, 13300–13305).
2019: Itay Neeman for his work on "the new method of iterating forcing using side conditions and the tree property".
2022: David Asperó and Ralf Schindler for their positive solution to the long standing conjecture that MM++, a strong form of Martin’s Maximum, implies Woodin’s Axiom (*).
See also
List of mathematics awards
References
Mathematics awards
Set theory |
https://en.wikipedia.org/wiki/Dayana%20Yastremska%20career%20statistics | This is a list of career statistics of Ukrainian tennis player Dayana Yastremska since her professional debut in 2015. Yastremska has won three singles titles on WTA Tour.
Performance timelines
Only main-draw results in WTA Tour, Grand Slam tournaments, Fed Cup/Billie Jean King Cup and Olympic Games are included in win–loss records.
Singles
Current through the 2023 Prague Open.
Doubles
Current through the 2023 Wimbledon Championships.
Significant finals
Premier M & Premier 5 tournaments
Doubles: 1 (runner-up)
WTA Tour finals
Singles: 5 (3 titles, 2 runner-ups)
Doubles: 1 (runner-up)
WTA 125 finals
Singles: 1 (title)
ITF finals
Singles: 6 (3 titles, 3 runner-ups)
Doubles: 3 (3 titles)
Junior Grand Slam tournament finals
Girls' singles: 1 (runner-up)
Girls' doubles: 1 (runner-up)
WTA rankings
WTA Tour career earnings
current as of 23 May 2022
{|cellpadding=3 cellspacing=0 border=1 style=border:#aaa;solid:1px;border-collapse:collapse;text-align:center;
|-style=background:#eee;font-weight:bold
|width="90"|Year
|width="100"|Grand Slam <br/ >titles|width="100"|WTA <br/ >titles
|width="100"|Total <br/ >titles
|width="120"|Earnings ($)
|width="100"|Money list rank
|-
|2015
|0
|0
|0
| align="right" |1,012
|1443
|-
|2016
|0
|0
|0
| align="right" |15,970
|418
|-
|2017
|0
|0
|0
| align="right" |39,851
|303
|-
|2018
|0
|1
|1
| align="right" |333,427
|109
|-
|2019
|0
|2
|2
| align="right" |1,224,080
|31
|-
|2020
|0
|0
|0
| align="right" |486,190
|43
|-
|2021
|0
|0
|0
|align="right" |232,605
|156
|-
|2022
|0
|0
|0
|align="right" |237,788
|75
|-
|Career|0|3|3| align="right" |2,584,159
|220
|}
Career Grand Slam statistics
Seedings
The tournaments won by Yastremska are in boldface', and advanced into finals by Yastremska are in italics''.
Best Grand Slam tournament results details
Head-to-head records
Record against top 10 players
Singles
She has a 3–11 () record against players who were, at the time the match was played, ranked in the top 10.
Doubles
Longest winning streaks
8-match win-streak (2018)
8 consecutive matches won by Yastremska in the fall of 2018 is the longest win-streak of her career thus far (Hong Kong and Luxembourg).
Notes
References
External links
Yastremska, Dayana |
https://en.wikipedia.org/wiki/%C3%81gnes%20Szendrei | Ágnes Szendrei is a Hungarian-American mathematician whose research concerns clones, the congruence lattice problem, and other topics in universal algebra. She is a professor of mathematics at the University of Colorado Boulder, and the author of the well-cited book Clones in Universal Algebra (1986). In May 2022, Dr. Szendrei was elected as an external member of the Hungarian Academy of Sciences; such external memberships are for Hungarian scientists who live outside of Hungary and who have made exceptional contributions to scientific research.
Szendrei earned a doctorate from the Hungarian Academy of Sciences in 1982, and a habilitation in 1993. Her 1982 dissertation was Clones of Linear Operations and Semi-Affine Algebras, supervised by . She was on the faculty of the University of Szeged from 1982 until 2003, when she moved to the University of Colorado.
Szendrei is a Humboldt Fellow. She won the Kató Rényi Award for undergraduate research in 1975, the Géza Grünwald Commemorative Prize for young researchers of the János Bolyai Mathematical Society in 1978, and the Golden Ring of the Republic in 1979. She was the 1992 winner of the Paul Erdős Prize of the Hungarian Academy of Sciences, and the 2000 winner of the Academy's Farkas Bolyai Award.
References
External links
Home page
Year of birth missing (living people)
Living people
21st-century American mathematicians
American women mathematicians
Hungarian women scientists
University of Colorado Boulder faculty
Algebraists
20th-century Hungarian mathematicians
21st-century Hungarian mathematicians
21st-century American women |
https://en.wikipedia.org/wiki/Peter%20B%C3%BChlmann | Peter Lukas Bühlmann (born 12 April 1965 in Zürich) is a Swiss mathematician and statistician.
Biography
Bühlmann studied mathematics from 1985 at the ETH Zurich with Diplom in 1990 and doctorate in 1993. His thesis The Blockwise Bootstrap in Time Series and Empirical Processes was written under the supervision of Hans-Rudolf Künsch and Erwin Bolthausen. At the University of California, Berkeley, Bühlmann was from 1994 to 1995 a postdoctoral research fellow and from 1995 to 1997 Neyman Assistant Professor. At ETH Zurich he became assistant professor in 1997 and is a full professor from 2004 to the present. From 2013 to 2017 he chaired the Department of Mathematics.
His research deals with statistics, machine learning, and computational biology.
He is married and has four children. Bühlmann is a frequent mountaineer in the Alps.
Honors and awards
Bühlmann is a Fellow of the Institute of Mathematical Statistics, of the American Statistical Association, and Elected Member of the International Statistical Institute. He is an honorary doctor of the Catholic University of Louvain and a recipient of Guy Medal in Silver from the Royal Statistical Society (2018). He presented the Neyman Lecture from the Institute of Mathematical Statistics (2018), was Rothschild Fellow and Lecturer at the Isaac Newton Institute (2018), invited speaker at the International Congress of Mathematicians in Rio de Janeiro (2018) and a Plenary Speaker at the 8th European Congress of Mathematics in Portoroz (2021). From 2014–2020 he was a Highly Cited Researcher at Thomson Reuters/Clarivate Analytics. From 2010 to 2012 he was a co-editor of the Annals of Statistics.
Selected publications
Books
with Sara van de Geer: Statistics for high-dimensional data. Methods, Theory and Applications, Springer 2011
as editor with P. Drineas, M. Kane, M. van der Laan: Handbook of Big Data, Chapman and Hall 2016
as editor with others: Statistical Analysis for High-Dimensional Data. The Abel Symposium 2014, Springer 2016
Articles
with N. Meinshausen: High-dimensional graphs and variable selection with the lasso, Annals of Statistics, vol. 34, 2006, pp. 1436–1462, Arxiv
with N. Meinshausen: Stability selection, Journal of the Royal Statistical Society, Series B, vol. 72, 2010, pp. 417–473
with L. Meier, S. Van de Geer: The group lasso for logistic regression, Journal of the Royal Statistical Society, Series B, vol. 70, 2008, pp. 53–71
with A. Prelić et al.: A systematic comparison and evaluation of biclustering methods for gene expression data, Bioinformatics, vol. 22, 2006, pp. 1122–1129
with B. Yu: Boosting with the L2 loss: regression and classification, Journal of the American Statistical Association, vol. 98, 2003, pp. 324–339
with J. J. Goeman: Analyzing gene expression data in terms of gene sets: methodological issues, Bioinformatics, vol. 23, 2007, pp. 980–987
with B. Yu: Analyzing bagging, Annals of Statistics, vol. 30, 2002, pp. 927–961
with T. Hothorn: Boosting algorithms: |
https://en.wikipedia.org/wiki/Christof%20Gei%C3%9F | Christof Geiß, also called Geiss Hahn or Geiß Hahn, is a German mathematician.
Geiß studied mathematics at the University of Bayreuth, where he received in 1990 his Diplom with Diplomarbeit Darstellungsendliche Algebren und multiplikative Basen and in 1993 his doctorate. His doctoral thesis Tame distributive algebras and related topics was written under the supervision of Wolfgang Erich Müller and José Antonio de la Peña. Geiß does research and teaches at the Universidad Nacional Autónoma de México (UNAM), where he studied already in 1991/92 and became in 1993 an Investigador Associado. He is there an Investigador Titular C.
His research deals with cluster algebras in Lie theory and their categorization, pre-projective algebras, and quivers in combination with symmetric Cartan matrices.
In 2018 Geiß was an Invited Speaker with talk Quivers with relations for symmetrizable Cartan matrices and algebraic Lie Theory at the International Congress of Mathematics.
Selected publications
with Bernard Leclerc and Jan Schröer:
with Bernard Leclerc and Jan Schröer:
with Bernard Leclerc and Jan Schröer:
with Bernard Leclerc and Jan Schröer:
with Bernard Leclerc and Jan Schröer:
with Bernard Leclerc and Jan Schröer:
with Bernard Leclerc and Jan Schröer:
with Bernard Leclerc and Jan Schröer:
References
Living people
20th-century German mathematicians
21st-century German mathematicians
University of Bayreuth alumni
Academic staff of the National Autonomous University of Mexico
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/Kotzig%27s%20theorem | In graph theory and polyhedral combinatorics, areas of mathematics, Kotzig's theorem is the statement that every polyhedral graph has an edge whose two endpoints have total degree at most 13. An extreme case is the triakis icosahedron, where no edge has smaller total degree. The result is named after Anton Kotzig, who published it in 1955 in the dual form that every convex polyhedron has two adjacent faces with a total of at most 13 sides. It was named and popularized in the west in the 1970s by Branko Grünbaum.
More generally, every planar graph of minimum degree at least three either has an edge of total degree at most 12, or at least 60 edges that (like the edges in the triakis icosahedron) connect vertices of degrees 3 and 10.
If all triangular faces of a polyhedron are vertex-disjoint, there exists an edge with smaller total degree, at most eight.
Generalizations of the theorem are also known for graph embeddings onto surfaces with higher genus.
The theorem cannot be generalized to all planar graphs, as the complete bipartite graphs and have edges with unbounded total degree. However, for planar graphs with vertices of degree lower than three, variants of the theorem have been proven, showing that either there is an edge of bounded total degree or some other special kind of subgraph.
References
Planar graphs
Theorems in graph theory |
https://en.wikipedia.org/wiki/Battle%20for%20Thrace | Battle for Thrace or Thracian derby is the name of the local derby football match between PFC Botev Plovdiv and PFC Beroe Stara Zagora.
Parva Liga match statistics
Head-to-head ranking in First League (1948–2022)
• Total: Beroe Stara Zagora with 19 higher finishes, Botev Plovdiv with 32 higher finishes (as of the end of the 2021–22 season).
Trophies
Botev Plovdiv and Beroe Stara Zagora are the only Bulgarian clubs, which managed to win at least once all major Bulgarian club tournaments (Bulgarian Championship, Bulgarian Cup, Bulgarian Supercup) and Balkans Cup
Statistics
Biggest wins
Botev wins
8:1 - 22 December 1986
6:0 - 17 November 1968
4:1 - 1 December 2018
4:1 - 12 December 1984
Beroe wins
5:2 - 7 August 1999
3:0 - 21 September 1986
3:0 - 26 April 2010
References
External links
Botev vs Beroe Statistics, http://a-pfg.com Botev vs Beroe
Balkans Cup Archive, Romeo Ionescu, RSSSF (Recreation & Sports Soccer Statistics Foundation)''
Bulgaria Cups Overview - Bulgarian Cups, RSSSF.com
Football derbies in Bulgaria
Botev Plovdiv
PFC Beroe Stara Zagora
Nicknamed sporting events |
https://en.wikipedia.org/wiki/Oscar%20Ncenga | Oscar Obuile Ncenga (born 27 February 1984) is a Motswana footballer playing for the Botswana national football team.
Early life
Club career
International career
Style of play
Career statistics
Honours
Club
Township Rollers
Botswana Premier League:7
2009-10, 2010-11, 2013-14, 2015-16, 2016-17, 2017-18, 2018-19
FA Cup:1
2010
Mascom Top 8 Cup:2
2011-12, 2017-18
References
Living people
Botswana men's footballers
1984 births
Botswana men's international footballers
Township Rollers F.C. players
People from Central District (Botswana)
Men's association football central defenders |
https://en.wikipedia.org/wiki/Recep%20G%C3%BCl | Recep Gül (born 5 November 2000) is a Turkish footballer who plays as a forward for Orduspor 1967 at TFF Third League.
Career statistics
Club
Notes
References
External links
2000 births
Living people
Turkish men's footballers
Turkey men's youth international footballers
Turkish expatriate men's footballers
Men's association football forwards
Galatasaray S.K. footballers
K.V.C. Westerlo players
Challenger Pro League players
TFF Second League players
TFF Third League players
Turkish expatriate sportspeople in Belgium
Expatriate men's footballers in Belgium
Footballers from Istanbul |
https://en.wikipedia.org/wiki/Rodrigo%20Bassani | Rodrigo Bassani da Cruz (born 17 October 1997) is a Brazilian footballer who currently plays as a midfielder for K League 1 club Suwon Samsung Bluewings.
Career statistics
Club
Notes
References
1997 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
Men's association football midfielders
Ituano FC players
Sociedade Esportiva, Recreativa e Cultural Guarani players
Esporte Clube Juventude players
K.S.V. Roeselare players
Atlético Zacatepec players
Maringá Futebol Clube players
Figueirense FC players
Suwon Samsung Bluewings players
Challenger Pro League players
Ascenso MX players
K League 1 players
Brazilian expatriate sportspeople in Belgium
Brazilian expatriate sportspeople in Mexico
Brazilian expatriate sportspeople in South Korea
Expatriate men's footballers in Belgium
Expatriate men's footballers in Mexico
Expatriate men's footballers in South Korea
Sportspeople from São José do Rio Preto
Footballers from São Paulo (state) |
https://en.wikipedia.org/wiki/Gregory%20Kuisch | Gregory Kuisch (born 14 March 2000) is a Dutch footballer who currently plays as a defender for Roeselare, on loan from PSV Eindhoven.
Career statistics
Club
Notes
References
2000 births
Living people
Dutch men's footballers
Dutch expatriate men's footballers
Netherlands men's youth international footballers
Men's association football defenders
PSV Eindhoven players
K.S.V. Roeselare players
Eerste Divisie players
Dutch expatriate sportspeople in Belgium
Expatriate men's footballers in Belgium |
https://en.wikipedia.org/wiki/Li%20Haoran%20%28footballer%2C%20born%201999%29 | Li Haoran (; born 5 November 1999) is a Chinese footballer who played as a winger for Tianjin Jinmen Tiger.
Career statistics
Club
References
1999 births
Living people
Footballers from Changchun
Chinese men's footballers
Chinese expatriate men's footballers
Men's association football wingers
Slovenian PrvaLiga players
Chinese Super League players
Shanghai Port F.C. players
R.S.C. Anderlecht players
NK Rudar Velenje players
Royal Antwerp F.C. players
Tianjin Jinmen Tiger F.C. players
Chinese expatriate sportspeople in Belgium
Expatriate men's footballers in Belgium
Expatriate men's footballers in Slovenia |
https://en.wikipedia.org/wiki/%C3%81d%C3%A1m%20Pint%C3%A9r%20%28footballer%2C%20born%202001%29 | Ádám Pintér (born 25 December 2001) is a Hungarian football defender who plays for Budafok.
Career
On 19 January 2023, Pintér signed a year-and-a-half contract with Szentlőrinc.
Career statistics
.
References
External links
2001 births
Footballers from Szolnok
Living people
Hungarian men's footballers
Men's association football midfielders
Debreceni VSC players
Balmazújvárosi FC players
Kaposvári Rákóczi FC players
Szeged-Csanád Grosics Akadémia footballers
Szentlőrinci SE footballers
Budafoki MTE footballers
Nemzeti Bajnokság I players
Nemzeti Bajnokság II players |
https://en.wikipedia.org/wiki/Greta%20Panova | Greta Cvetanova Panova (, born 1983 in Sofia, Bulgaria) is a Bulgarian-American mathematician. She is a professor of mathematics at the University of Southern California in Los Angeles. Her research interests include combinatorics, probability and theoretical computer science.
Education and career
Panova received her B.S. in 2005 from MIT. She received M.A. in 2006 from University of California, Berkeley and Ph.D. in mathematics from Harvard University in 2011, under the supervision of Richard Stanley. She was then a postdoc at UCLA (2011-2014), Assistant and Associate Professor at the University of Pennsylvania (2014-2018), and is currently a tenured Associate Professor at the University of Southern California. She was also Visiting Scholar at the Simons Institute for the Theory of Computing (Fall 2018).
Panova has published over 40 papers primarily in algebraic combinatorics with applications to geometric complexity theory, probability and statistical mechanics. She is currently a co-Editor-in-Chief of the Electronic Journal of Combinatorics.
Selected awards
Panova was a three time medalist at the International Mathematical Olympiad (1999-2001, one gold and two silver medals). She was a third prize winner at the William Lowell Putnam Mathematical Competition (2001), and a winner of the Best Student Paper Award at the Formal Power Series and Algebraic Combinatorics Conference (FPSAC, 2011). She is a recipient of Katz Fellowship (UC Berkeley), Putnam Fellowship (Harvard), James Mills Peirce Fellowship (Harvard), Simons Postdoctoral Fellowship (UCLA), and von Neumann Fellowship (IAS). Panova was also an invited plenary speaker at FPSAC 2017 in London.
Panova is the recipient of the Institute of Mathematics and Informatics IMI Award for 2020 given once every three years to a Bulgarian citizen under the age of 40 for high achievements in the field of mathematics.
References
External links
1983 births
Living people
Scientists from Sofia
Bulgarian emigrants to the United States
Harvard University alumni
University of California, Berkeley alumni
Massachusetts Institute of Technology alumni
University of Southern California faculty
University of Pennsylvania faculty
Institute for Advanced Study visiting scholars
21st-century American mathematicians
American women mathematicians
Bulgarian women mathematicians
21st-century Bulgarian mathematicians
Combinatorialists
Probability theorists
Theoretical computer scientists
21st-century American women |
https://en.wikipedia.org/wiki/Dorothy%20Spiers | Dorothy Beatrice Spiers (née Davis; 25 May 1897 − 2 September 1977) was a British actuary. She was the first woman to qualify as an actuary in the United Kingdom. After studying mathematics at Newnham College, Cambridge, she worked for the Guardian Assurance Company. She passed the actuarial exams at the Institute of Actuaries in 1923.
From the 1940s to 1954, Spiers worked part-time as an actuary for the Guardian Assurance Company, and Eagle Star Insurance. She was also the national treasurer of the League of Jewish Women. Spiers died on 2 September 1977 in Brent, Middlesex.
Early life and education
Dorothy Beatrice Davis was born on 25 May 1897 in Hackney, London, England, to Samuel and Sarah Davis (née Samuel). She was the second of three daughters. Her father Samuel was the headmaster of the Jewish Free School. Her early education was at the Wilton Road School and the City of London School for Girls. She studied mathematics at Newnham College, Cambridge.
Career
After graduation in 1918, Davis worked for the Guardian Assurance Company. While working there, she studied for the actuarial examinations at the Institute of Actuaries, enrolling at the institute in 1920. The institute had unanimously approved the admission of women at their general meeting in the previous year. She passed the exams in 1923 and therefore became the first woman to qualify as an actuary in the UK. Three years later, Davis became the first woman to open the discussion at a sessional meeting of the Institute of Actuaries. After she had made her contribution, the male actuary who followed commented that "those of them who had advocated the admission of women to the Institute had every reason to congratulate themselves".
Personal and later life
She married Henry Michael Spiers, an industrial chemist, in 1931. Henry had wanted to marry her earlier, but the Guardian Assurance Company at the time had a policy of not employing married women, so she had declined his proposal. After their marriage, she became a housewife, and the couple had two sons. She worked at the Continuous Mortality Investigation division of the Institute of Actuaries between 1932 and 1938. From the 1940s to 1954, Spiers returned to actuarial work on a part-time basis at the Guardian Assurance Company and Eagle Star Insurance. Outside of her actuarial career, she was a member of the council of the League of Jewish Women, and also its national treasurer.
She died on 2 September 1977 at the Central Middlesex Hospital in Brent, Middlesex at the age of 80.
References
1897 births
1977 deaths
British actuaries
British women in business
People from the London Borough of Hackney
People educated at the City of London School for Girls
20th-century British businesspeople |
https://en.wikipedia.org/wiki/1999%20Rugby%20World%20Cup%20statistics | This article documents statistics from the 1999 Rugby World Cup, principally hosted in Wales from 1 October to 6 November.
Team statistics
The following table shows the team's results in major statistical categories.
Source: ESPNscrum.com
Top point scorers
Top try scorers
Hat-tricks
Unless otherwise noted, players in this list scored a hat-trick of tries.
Stadiums
See also
2003 Rugby World Cup statistics
Records and statistics of the Rugby World Cup
List of Rugby World Cup hat-tricks
External links
Rugby World Cup 1999 Tournament statistics
Rugby World Cup 1999 Team Stats
References
Statistics
Rugby World Cup records and statistics |
https://en.wikipedia.org/wiki/Alimardon%20Shukurov | Alimardon Abitalipovich Shukurov (; ; born 28 September 1999) is a Kyrgyz professional footballer who plays as a midfielder for the Kyrgyzstan national team.
Career statistics
International
Statistics accurate as of match played 24 September 2022
International goals
Scores and results list Kyrgyzstan's goal tally first.
References
External links
1999 births
Living people
Kyrgyzstani men's footballers
Men's association football midfielders
Kyrgyzstan men's international footballers
TFF First League players
Kyrgyzstani expatriate men's footballers
Expatriate men's footballers in Turkey
Kyrgyzstani expatriate sportspeople in Turkey
Expatriate men's footballers in Belarus
Kyrgyzstani expatriate sportspeople in Belarus
FC Abdysh-Ata Kant players
Boluspor footballers
FC Neman Grodno players |
https://en.wikipedia.org/wiki/Joris%20van%20der%20Hoeven | Joris van der Hoeven (born 1971) is a Dutch mathematician and computer scientist, specializing in algebraic analysis and computer algebra. He is the primary developer of GNU TeXmacs.
Education and career
Joris van der Hoeven received in 1997 his doctorate from Paris Diderot University (Paris 7) with thesis Asymptotique automatique. He is a Directeur de recherche at the CNRS and head of the team Max Modélisation algébrique at the Laboratoire d'informatique of the École Polytechnique.
Research
His research deals with transseries (i.e. generalizations of formal power series) with applications to algebraic analysis and asymptotic solutions of nonlinear differential equations. In addition to transseries' properties as part of differential algebra and model theory, he also examines their algorithmic aspects as well as those of classical complex function theory.
He is the main developer of GNU TeXmacs (a free scientific editing platform) and Mathemagix (free software, a computer algebra and analysis system).
In 2019, van der Hoeven and his coauthor David Harvey announced their discovery of the fastest known multiplication algorithm, allowing the multiplication of -bit binary numbers in time . Their paper was peer reviewed and published in the Annals of Mathematics in 2021.
Recognition
In 2018, he was an Invited Speaker (with Matthias Aschenbrenner and Lou van den Dries) with the talk On numbers, germs, and transseries at the International Congress of Mathematicians in Rio de Janeiro. In 2018, the three received the Karp Prize.
Selected publications
Articles
2001
2002
2016
2016
2017
Books
References
20th-century Dutch mathematicians
21st-century Dutch mathematicians
Dutch computer scientists
Paris Diderot University alumni
1971 births
Living people
Academic staff of École Polytechnique |
https://en.wikipedia.org/wiki/Avazbek%20Otkeev | Avazbek Otkeev (born 4 December 1993) is a Kyrgyzstani footballer who plays for Dordoi Bishkek in the Kyrgyzstan League and Kyrgyzstan national football team as a midfielder.
Career statistics
International
Statistics accurate as of match played 21 January 2019
Statistics accurate as of match played 16 October 2018
References
External links
1993 births
Living people
Kyrgyzstan men's international footballers
Kyrgyzstani men's footballers
FC Dordoi Bishkek players
Men's association football midfielders
Footballers at the 2014 Asian Games
Asian Games competitors for Kyrgyzstan |
https://en.wikipedia.org/wiki/Borel%20subalgebra | In mathematics, specifically in representation theory, a Borel subalgebra of a Lie algebra is a maximal solvable subalgebra. The notion is named after Armand Borel.
If the Lie algebra is the Lie algebra of a complex Lie group, then a Borel subalgebra is the Lie algebra of a Borel subgroup.
Borel subalgebra associated to a flag
Let be the Lie algebra of the endomorphisms of a finite-dimensional vector space V over the complex numbers. Then to specify a Borel subalgebra of amounts to specify a flag of V; given a flag , the subspace is a Borel subalgebra, and conversely, each Borel subalgebra is of that form by Lie's theorem. Hence, the Borel subalgebras are classified by the flag variety of V.
Borel subalgebra relative to a base of a root system
Let be a complex semisimple Lie algebra, a Cartan subalgebra and R the root system associated to them. Choosing a base of R gives the notion of positive roots. Then has the decomposition where . Then is the Borel subalgebra relative to the above setup. (It is solvable since the derived algebra is nilpotent. It is maximal solvable by a theorem of Borel–Morozov on the conjugacy of solvable subalgebras.)
Given a -module V, a primitive element of V is a (nonzero) vector that (1) is a weight vector for and that (2) is annihilated by . It is the same thing as a -weight vector (Proof: if and with and if is a line, then .)
See also
Borel subgroup
Parabolic Lie algebra
References
.
.
.
Representation theory
Lie algebras |
https://en.wikipedia.org/wiki/Dave%20Mustaine%20%28footballer%29 | Dave Mustaine (born 16 November 1992) is an Indonesian professional footballer who plays as a midfielder for Liga 1 club PSS Sleman.
Career statistics
Club
Honours
Club
PSS Sleman
Liga 2: 2018
References
External links
Dave Mustaine at Liga Indonesia
1992 births
Living people
Indonesian men's footballers
Liga 2 (Indonesia) players
Liga 1 (Indonesia) players
Persekap Pasuruan players
PSS Sleman players
Persegres Gresik players
Gresik United F.C. players
Arema F.C. players
Men's association football midfielders
People from Sidoarjo Regency
Footballers from East Java |
https://en.wikipedia.org/wiki/Instituto%20de%20Estad%C3%ADstica%20y%20Cartograf%C3%ADa%20de%20Andaluc%C3%ADa | Instituto de Estadística y Cartografía de Andalucía (IECA) is a public organization which coordinates and announces statistics and cartography in Andalucía. In 2019 it was named Elena Manzanera Díaz as the directress.
References
History of Andalusia
Government of Andalusia
Political history of Spain
Geographic information systems organizations
Statistics education
Statistical service organizations
National statistical services |
https://en.wikipedia.org/wiki/Kiyoshi%20Igusa | Kiyoshi Igusa (born November 28, 1949) is a Japanese-American mathematician and a professor at Brandeis University. He works in representation theory and topology.
Education and career
He studied at the University of Chicago and Princeton University, where he obtained his Ph.D. in 1979, under the direction of Allen Hatcher.
From 1981 to 1983, he was a Sloan Fellow, and since 2012 he is a Fellow of the American Mathematical Society.
In 1990, he gave a invited lecture at the ICM in Kyoto (Topology Section).
Personal life
Igusa's father, Jun-Ichi Igusa, was also a mathematician. Igusa is married to Gordana Todorov, with whom he is a frequent collaborator.
Selected publications
References
External links
(Personal Website)
Fellows of the American Mathematical Society
1949 births
Living people
Brandeis University faculty
American academics of Japanese descent
University of Chicago alumni
Princeton University alumni
21st-century American mathematicians
Sloan Research Fellows
20th-century American mathematicians
Topologists |
https://en.wikipedia.org/wiki/Maurizio%20Cornalba | Maurizio Cornalba (born 17 January 1947) is an Italian mathematician, specializing in algebraic geometry.
Cornalba completed his undergraduate studies at University of Pisa in 1969 und his graduate studies at the Scuola Normale Superiore di Pisa in 1970. He was a postdoc at Princeton University from 1970 to 1971 and an assistant professor at the University of Pisa from 1971 to 1976; he was on leave of absence for the academic year 1971–1972 at Princeton University, for the academic year 1974–1975 at Harvard University, and for the academic year 1975–1976 at the University of California, Berkeley. At the University of Pavia he was a full professor from 1976 to 2017, when he retired as professor emeritus.
Cornalba's research deals with the geometry of algebraic curves and the geometry and topology of moduli spaces.
He was in 1993/94, 2005 and 2007 at the Institute for Advanced Study, in 1995 at the Institut Henri Poincaré, in 1998 at the University of Amsterdam, and in 1984/85 at Brown University.
In 1975 he received the Bartolozzi Prize. He is a member of the Accademia dei Lincei (elected in 1990 a corresponding member and in 2005 a full member), the Istituto Lombardo Accademia di Scienze e Lettere (elected in 2000), and the (elected in 2011).
In 1998 he was an Invited Speaker with talk Cohomology of Moduli Spaces of Stable Curves at the International Congress of Mathematicians in Berlin.
He was one of the co-authors for Guido Castelnuovo's Opere matematiche: memorie e note, published in 4 volumes by the Accademia Nazionale dei Lincei from 2002 to 2007, and for Phillip Griffiths's Selected works, published in 4 volumes by the American Mathematical Society in 2003.
Selected publications
with Enrico Arbarello, Phillip Griffiths, Joe Harris Geometry of algebraic curves, Grundlehren der mathematischen Wissenschaften, Springer Verlag, 2 vols., 1985, 2011; Vol. 1, 2013 pbk reprint; Vol. 2, 2011 pbk edition
with E. Arbarello, P. Griffiths, Joe Harris, Special divisors on algebraic curves, reprinted in Selected Works of Phillip Griffiths, vol. 2, American Mathematical Society 2003, pp. 649–778 (Lecture notes, Regional Algebraic Geometry Conference, Athens, Georgia, 1979)
as editor with X. Gomez-Mont, A. Verjovsky Lectures on Riemann Surfaces (ICTP, Triest 1987), World Scientific 1989
as editor with Fabrizio Catanese, Ciro Ciliberto Problems in the theory of surfaces and their classification, Symposia Mathematica 32, Academic Press, London, 1991.
References
20th-century Italian mathematicians
21st-century Italian mathematicians
University of Pisa alumni
Scuola Normale Superiore di Pisa alumni
Academic staff of the University of Pavia
1947 births
Living people |
https://en.wikipedia.org/wiki/1995%20Rugby%20World%20Cup%20statistics | This article documents statistics from the 1995 Rugby World Cup, hosted in South Africa from 25 May to 24 June.
Team statistics
The following table shows the team's results in major statistical categories.
Source: ESPNscrum.com
Top point scorers
Top try scorers
Hat-tricks
Unless otherwise noted, players in this list scored a hat-trick of tries.
Stadiums
See also
1999 Rugby World Cup statistics
Records and statistics of the Rugby World Cup
List of Rugby World Cup hat-tricks
External links
Rugby World Cup 1995 Tournament statistics
Rugby World Cup 1995 Team Stats
References
Statistics
Rugby World Cup records and statistics |
https://en.wikipedia.org/wiki/1991%20Rugby%20World%20Cup%20statistics | This article documents statistics from the 1991 Rugby World Cup, jointly hosted by England, Scotland, Wales, Ireland and France from 3 October to 2 November.
Team statistics
The following table shows the team's results in major statistical categories.
Source: ESPNscrum.com
Top point scorers
Top try scorers
Hat-tricks
Unless otherwise noted, players in this list scored a hat-trick of tries.
Stadiums
See also
1995 Rugby World Cup statistics
Records and statistics of the Rugby World Cup
List of Rugby World Cup hat-tricks
External links
Rugby World Cup 1991 Tournament statistics
Rugby World Cup 1991 Team Stats
References
Statistics
Rugby World Cup records and statistics |
https://en.wikipedia.org/wiki/Yousuf%20Zetuna | Yousuf Salwan Zetuna (born 10 March 1999) is an Iraqi professional footballer of Assyrian ethnicity. His younger brother, Yohan Zetuna, is also a footballer.
Career statistics
Club
Notes
References
1999 births
Living people
Assyrian footballers
Iraqi men's footballers
Iraqi expatriate men's footballers
Men's association football forwards
Liga de Expansión MX players
Alebrijes de Oaxaca players
KS Kastrioti players
Expatriate men's footballers in Mexico
Expatriate men's footballers in Albania
Iraqi refugees |
https://en.wikipedia.org/wiki/Daisuke%20Araki%20%28footballer%29 | is a Japanese footballer who currently plays for Portuguese side Pevidém.
Career statistics
Club
.
Notes
References
2000 births
Living people
Association football people from Osaka Prefecture
Japanese men's footballers
Men's association football midfielders
Moldovan Super Liga players
Campeonato de Portugal (league) players
Tokyo Verdy players
C.S. Marítimo players
FC Zimbru Chișinău players
Pevidém S.C. players
Japanese expatriate men's footballers
Japanese expatriate sportspeople in Portugal
Expatriate men's footballers in Portugal
Japanese expatriate sportspeople in Moldova
Expatriate men's footballers in Moldova |
https://en.wikipedia.org/wiki/Frank%20Hoppensteadt | Frank Charles Hoppensteadt (born 29 April 1938) is an American mathematician, specializing in mathematical biology and dynamical systems.
Frank Hoppensteadt studied physics and mathematics at Butler University with bachelor's degree in 1960. At the University of Wisconsin–Madison, he received in 1962 his master's degree and in 1965 his PhD with thesis Singular perturbations on the infinite interval under the supervision of Fred Guenther Brauer and Wolfgang Wasow. From 1965 Hoppensteadt was an assistant professor at Michigan State University in East Lansing. From 1968 he was an associate professor and later a professor at New York University's Courant Institute until his resignation in 1979. From 1977 to 1986 he was a professor at the University of Utah, where he also chaired the mathematics department. From 1986 he was Dean of Natural Science at Michigan State University and then, from 1995, at Arizona State University, Professor of Mathematics and Electrical Engineering and Director of the Center for Systems Science and Engineering Research. From 2004 he was Senior Vice Provost for Planning at New York University, and then from 2006 Research Professor at New York University's Courant Institute until his retirement in 2012.
His research deals with perturbation methods for dynamical systems and various aspects of theoretical biology, such as neural networks, neuromorphic engineering, disease spreading, and population dynamics.
Hoppensteadt was a Christensen Fellow at St Catherine's College, Oxford. He was elected a Fellow of the American Association for the Advancement of Science in 2002.
In 1998 he was, with Eugene Izhikevich, an invited speaker with talk Canonical models in mathematical neuroscience at the International Congress of Mathematicians in Berlin.
Selected publications
Mathematical methods for analysis of a complex disease, Courant Lecture Notes in Mathematics 2011
with Eugene M. Izhikevich: Weakly connected neural networks, Springer 1997; 2012 pbk reprint
Analysis and simulation of chaotic systems, Springer, 1993; 2013 pbk reprint of 1st edition; 2nd edition 2000
with Charles S. Peskin: Modeling and simulation in medicine and the life sciences, Springer, 2nd edition 2002 (first edition entitled Mathematics in medicine and the life sciences, 1992)
with Anatoliy Skorokhod, Habib Salehi: Random perturbation methods with applications in science and engineering, Springer Verlag 2002
Quasi-static state analysis of differential, difference, integral, and gradient systems, Courant Lecture Notes in Mathematics, 2010
Mathematical theories of populations : demographics, genetics and epidemics, SIAM 1975
An introduction to the mathematics of neurons, Cambridge University Press 1986; 1997 2nd edition, pbk
as editor: Nonlinear oscillations in biology, AMS 1979
as editor: Mathematical aspects of physiology, AMS 1981
Founding editor: Cambridge Studies in Mathematical Biology, Cambridge University Press 1980 to 2000
References
Ext |
https://en.wikipedia.org/wiki/Dependent%20random%20choice | In mathematics, dependent random choice is a probabilistic technique that shows how to find a large set of vertices in a dense graph such that every small subset of vertices has many common neighbors. It is a useful tool to embed a graph into another graph with many edges. Thus it has its application in extremal graph theory, additive combinatorics and Ramsey theory.
Statement of theorem
Let , and suppose:
Every graph on vertices with at least edges contains a subset of vertices with such that for all with , has at least common neighbors.
Proof
The basic idea is to choose the set of vertices randomly. However, instead of choosing each vertex uniformly at random, the procedure randomly chooses a list of vertices first and then chooses common neighbors as the set of vertices. The hope is that in this way, the chosen set would be more likely to have more common neighbors.
Formally, let be a list of vertices chosen uniformly at random from with replacement (allowing repetition). Let be the common neighborhood of . The expected value of isFor every -element subset of , contains if and only if is contained in the common neighborhood of , which occurs with probability An is bad if it has less than common neighbors. Then for each fixed -element subset of , it is contained in with probability less than . Therefore by linearity of expectation, To eliminate bad subsets, we the procedure is to exclude one element in each bad subset. The number of remaining elements is at least , whose expected value is at least Consequently, there exists a such that there are at least elements in remaining after getting rid of all bad -element subsets. The set of the remaining elements expresses the desired properties.
Applications
Turán numbers of a bipartite graph
DRC can help find the Turán number. Using appropriate parameters, if is a bipartite graph in which all vertices in have degree at most , then the extremal number where only depends on .
Formally, if and is a sufficiently large constant such that If then
and so the assumption of dependent random choice holds. Hence, for each graph with at least edges, there exists a vertex subset of size satisfying that every -subset of has at least common neighbors. By embedding into by embedding into arbitrarily and then embedding the vertices in one by one, then for each vertex in , it has at most neighbors in , which shows that their images in have at least common neighbors. Thus can be embedded into one of the common neighbors while avoiding collisions.
This can be generalized to degenerate graphs using the variation of dependent random choice.
Embedding a 1-subdivision of a complete graph
DRC can be applied directly to show that if is a graph on vertices and edges, then contains a 1-subdivision of a complete graph with vertices. This can be shown in a similar way to the above proof of the bound on Turán number of a bipartite graph.
Indeed, if we set , we |
https://en.wikipedia.org/wiki/Shoji%20Toyama | is a Japanese footballer who plays as a forward for club Gamba Osaka.
Career statistics
Club
.
Honours
Japan U16
AFC U-16 Championship: 2018
References
External links
2002 births
Living people
People from Toyonaka, Osaka
Association football people from Osaka Prefecture
Japanese men's footballers
Japan men's youth international footballers
Men's association football forwards
Gamba Osaka players
Gamba Osaka U-23 players
Ehime FC players
Mito HollyHock players
J1 League players
J2 League players
J3 League players |
https://en.wikipedia.org/wiki/List%20of%20Western%20United%20FC%20records%20and%20statistics | Western United Football Club is an Australian professional association football club based in Trugania, Victoria. The club was formed as Western Melbourne before being renamed as Western United.
The list encompasses records set by the club, their managers and their players. The player records section itemises the club's leading goalscorers and those who have made most appearances in first-team competitions. Attendance records are also included.
The club's record appearance maker is Connor Pain, who has currently made 107 appearances between 2019 and the present day. Besart Berisha is Western United's goalscorer, scoring 26 goals in total.
All figures are correct as of 21 October 2023
Honours and achievements
Domestic
A-League Men Championship
Winners (1): 2022
Player records
Appearances
Most A-League Men appearances: Connor Pain, 104
Most Australia Cup appearances: Tomoki Imai and Lachlan Wales, 6
Youngest first-team player: Luke Duzel, 18 years, 25 days (against Central Coast Mariners, A-League, 1 March 2020)
Oldest first-team player: Alessandro Diamanti, 39 years, 355 days (against Melbourne City, A-League Men, 4 March 2023)
Most consecutive appearances: Lachlan Wales, 59
Most appearances
Competitive matches only, includes appearances as substitute. Numbers in brackets indicate goals scored.
Goalscorers
Most goals in a season: Besart Berisha, 19 goals (in the 2019–20 season)
Most A-League Men goals in a season: Besart Berisha, 19 goals in the A-League, 2019–20
Most goals in a match: 3 goals
Max Burgess (against Central Coast Mariners, A-League, 1 March 2020)
Lachlan Wales (against Perth Glory), A-League Men, 16 April 2022
Youngest goalscorer: Matthew Grimaldi, 19 years, 275 days (against Gold Coast Knights, Australia Cup, 30 August 2023)
Oldest goalscorer: Alessandro Diamanti, 39 years, 264 days (against Sydney FC, A-League Men, 13 November 2022)
Most consecutive goalscoring appearances: Besart Berisha, 4 matches (7 August 2020 – 19 August 2020)
Top goalscorers
Besart Berisha is the all-time top goalscorer for Western United and has always been since the club's first competitive match in October 2019.
Competitive matches only. Numbers in brackets indicate appearances made.
Managerial records
First full-time manager: Mark Rudan managed Western United from 23 May 2019 to 8 June 2021.
Longest-serving manager: Mark Rudan – 2 years, 16 days (23 May 2019 to 8 June 2021)
Shortest tenure as manager: Mark Rudan – 2 years, 16 days (23 May 2019 to 8 June 2021)
Highest win percentage: John Aloisi, 46.03%
Lowest win percentage: Mark Rudan, 38.89%
Club records
Matches
Firsts
First match: Caroline Springs George Cross 0–4 Western United, friendly, 22 August 2019
First A-League Men match: Wellington Phoenix 0–1 Western United, 13 October 2019
First Australia Cup match: Western United 2–1 Newcastle Jets, 13 November 2021
First match at Geelong: Western United 1–1 Perth Glory, A-League, 19 October 2019
First home match at |
https://en.wikipedia.org/wiki/Adolf%20Kiefer | Adolf Kiefer (22 June 1857 - 15 November 1929) was a Swiss mathematician, working mainly on geometry.
Life
Kiefer was born in 1857 in Selzach, Switzerland to Jakob, a farmer, village mayor and member of Solothurn parliament. In 1880 he graduated as a teacher of mathematics and physics. He taught, from 1881-2, at the Concordia Institute, in Zürich. Kiefer's 1881 doctorate was from the University of Zürich for the thesis Der Kontakt höherer Ordnung bei algebraischen Flächen. Between 1882 and 1894 he taught geometry and technical drawing at the canton school in Frauenfeld, becoming deputy head in 1886 and head in 1888. In 1894 he became director of the Concordia Institute. Concordia closed after the First World War, Kiefer taught elsewhere including Zurich teachers' college.
Kiefer was a member of the committee of the first International Congress of Mathematicians.
Kiefer retired in 1926 due to ill health. He became an honorary member of the Schweizerische Naturforschende Gesellschaft in 1928. He died 15 November 1929.
Work
Books
Ueber die geraden Kegel und Cylinder, welche durch gegebene Punkte des Raumes gehen oder gegebene gerade Linien des Raumes berühren (1888)
Kiefer published over thirty papers, mostly on geometry.
Papers
Über Kräftezerlegung (1904)
Über die Kettenlinie (1915)
Von der Cykloide (1917)*
Zum Normalenproblem bei den Flächen zweiten Grades(1921)
Zwei spezielle Tetraeder (1925).
References
External links
MacTutor biography
1857 births
1929 deaths
Swiss mathematicians |
https://en.wikipedia.org/wiki/Spiral%20similarity | Spiral similarity is a plane transformation in mathematics composed of a rotation and a dilation. It is used widely in Euclidean geometry to facilitate the proofs of many theorems and other results in geometry, especially in mathematical competitions and Olympiads. Though the origin of this idea is not known, it was documented in 1967 by Coxeter in his book Geometry Revisited. and 1969 - using the term "dilative rotation" - in his book Introduction to Geometry.
The following theorem is important for the Euclidean plane:
Any two directly similar figures are related either by a translation or by a spiral similarity.
(Hint: Directly similar figures are similar and have the same orientation)
Definition
A spiral similarity is composed of a rotation of the plane followed a dilation about a center with coordinates in the plane. Expressing the rotation by a linear transformation and the dilation as multiplying by a scale factor , a point gets mapped to
On the complex plane, any spiral similarity can be expressed in the form , where is a complex number. The magnitude is the dilation factor of the spiral similarity, and the argument is the angle of rotation.
Properties
Center of a spiral similarity for two line segments
Through a dilation of a line, rotation, and translation, any line segment can be mapped into any other through the series of plane transformations. We can find the center of the spiral similarity through the following construction:
Draw lines and , and let be the intersection of the two lines.
Draw the circumcircles of triangles and .
The circumcircles intersect at a second point . Then is the spiral center mapping to
Proof: Note that and are cyclic quadrilaterals. Thus, . Similarly, . Therefore, by AA similarity, triangles and are similar. Thus, so a rotation angle mapping to also maps to . The dilation factor is then just the ratio of side lengths to .
Solution with complex numbers
If we express and as points on the complex plane with corresponding complex numbers and , we can solve for the expression of the spiral similarity which takes to and to . Note that and , so . Since and , we plug in to obtain , from which we obtain .
Pairs of spiral similarities
For any points and , the center of the spiral similarity taking to is also the center of a spiral similarity taking to .
This can be seen through the above construction. If we let be the center of spiral similarity taking to , then . Therefore, . Also, implies that . So, by SAS similarity, we see that . Thus is also the center of the spiral similarity which takes to .
Corollaries
Proof of Miquel's Quadrilateral Theorem
Spiral similarity can be used to prove Miquel's Quadrilateral Theorem: given four noncollinear points and , the circumcircles of the four triangles and intersect at one point, where is the intersection of and and is the intersection of and (see diagram).
Let be the center of the spiral similarity which |
https://en.wikipedia.org/wiki/Ulrich%20Pinkall | Ulrich Pinkall (born 1955) is a German mathematician, specializing in differential geometry and computer graphics.
Pinkall studied mathematics at the University of Freiburg with a Diplom in 1979 and a doctorate in 1982 with thesis Dupin'sche Hyperflächen (Dupin's hypersurfaces) under the supervision of Martin Barner. Pinkall was then a research assistant in Freiburg until 1984 and from 1984 to 1986 at the Max Planck Institute for Mathematics in Bonn. In 1985 he completed his habilitation in Bonn with thesis Totale Absolutkrümmung immersierter Flächen (Total absolute curvature of immersed surfaces). Since 1986 he is professor at TU Berlin.
In 1985 he received the Otto Hahn Medal of the Max Planck Society. In 1986 he received a Heisenberg-Stipendium from the Deutsche Forschungsgemeinschaft (DFG). From 1992 to 2003 he was a speaker of the Sonderforschungsbereich (SFB) 288 (differential geometry and quantum physics).
In 1998 he was an Invited Speaker with talk Quaternionic analysis of Riemann surfaces and differential geometry at the International Congress of Mathematicians in Berlin.
Selected publications
1988
arXiv preprint
References
External links
1955 births
Living people
20th-century German mathematicians
21st-century German mathematicians
Differential geometers
University of Freiburg alumni
Academic staff of the Technical University of Berlin |
https://en.wikipedia.org/wiki/1987%20Rugby%20World%20Cup%20statistics | This article documents statistics from the 1987 Rugby World Cup, hosted by New Zealand and Australia from 22 May to 20 June.
Team statistics
The following table shows the team's results in major statistical categories.
Source: ESPNscrum.com
Top point scorers
Top try scorers
Hat-tricks
Unless otherwise noted, players in this list scored a hat-trick of tries.
Stadiums
See also
1991 Rugby World Cup statistics
Records and statistics of the Rugby World Cup
List of Rugby World Cup hat-tricks
External links
Rugby World Cup 1987 Tournament statistics
Rugby World Cup 1987 Team Stats
References
Statistics
Rugby World Cup records and statistics |
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