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https://en.wikipedia.org/wiki/Division%20by%20infinity | In mathematics, division by infinity is division where the divisor (denominator) is ∞. In ordinary arithmetic, this does not have a well-defined meaning, since ∞ is a mathematical concept that does not correspond to a specific number, and moreover, there is no nonzero real number that, when added to itself an infinite number of times, gives a finite number. However, "dividing by ∞“ can be given meaning as an informal way of expressing the limit of dividing a number by larger and larger divisors.
Using mathematical structures that go beyond the real numbers, it is possible to define numbers that have infinite magnitude yet can still be manipulated in ways much like ordinary arithmetic. For example, on the extended real number line, dividing any real number by infinity yields zero, while in the surreal number system, dividing 1 by the infinite number yields the infinitesimal number . In floating-point arithmetic, any finite number divided by is equal to positive or negative zero if the numerator is finite. Otherwise, the result is NaN.
The challenges of providing a rigorous meaning of "division by infinity" are analogous to those of defining division by zero.
Within the domain of mathematical discourse, the contemplation of dividing infinity by itself gives rise to a proposition of interest. Specifically, the assertion that the result of dividing infinity by infinity ( ∞ ÷ ∞ = ∞ ) is tantamount to infinity itself merits exploration. A logical journey unveils the underpinnings of this concept and its mathematical validity.
Consider a parameter denoted as "y," which, for the sake of analysis, is assigned the value 10. The crux of the matter rests in the equation ∞ ÷ y = ∞, where the introduction of y introduces an essential condition. To render the equation coherent, y must assume a magnitude that is sufficiently vast to accommodate the division operation involving infinity. This requirement reflects the conceptual intricacies associated with dealing with the concept of infinity in mathematical contexts.
However, the narrative takes a noteworthy turn as we transition to the equation y × ∞ = ∞. This equation signifies a transformation of the division operation into one of multiplication. In essence, this transition underscores a relationship where division of infinity finds equivalence through multiplication with an appropriate value of y. This insight reinforces the notion that the division of infinity by itself materializes as an operation of multiplication, culminating in an outcome of ∞.
Moreover, it's worth mentioning that if we carry forward the same line of thinking, something fascinating emerges. When we take infinity and divide it by a regular number like 10, the result still holds true: it's infinity. This adds another layer of insight to our mathematical journey, underscoring the depth of what we're uncovering here.
Use in technology
As infinity is difficult to deal with for most calculators and computers many do not have a forma |
https://en.wikipedia.org/wiki/Stephen%20Halperin | John Stephen Halperin (born 1 February 1942 in Kingston, Ontario) is a Canadian mathematician who deals with differential geometry and algebraic topology.
A son of the mathematician Israel Halperin, Stephen Halperin studied at the University of Toronto with a bachelor's degree in 1966 and a master's degree in 1967. He received in 1970 his PhD from Cornell University under the supervision of Hsien Chung Wang with thesis Real Cohomology and Smooth Transformation Groups. He then became an assistant professor and in 1979 a full professor at the University of Toronto.
Halperin was a visiting scholar in 1981 at the University of Bonn, in 1986 in Nice, and in 1995 in Lille.
His research deals with homotopy theory and homology of loop spaces with applications in geometry. He wrote a three-volume textbook on differential geometry with Werner H. Greub and Ray Vanstone.
In 1984 Halperin was elected a Fellow of the Royal Society of Canada. In 1997 he received the Jeffery–Williams Prize.
Selected publications
with Ray Vanstone and Werner H. Greub: Connections, Curvature and Cohomology , 3 volumes (Volume 1: De Rham Cohomology of Manifolds and Vector Bundles, Volume 2 Lie Groups, Principal Bundles and Characteristic Classes, Volume 3 Cohomology of principal bundles and homogeneous spaces), Academic Press 1972, 1973, 1976
with Yves Félix: Rational L.-S. category and its applications , Transactions AMS, vol. 273, 1982, 1–38
with Karsten Grove: Contributions of rational homotopy theory to global problems in geometry , Pub. Math. IHES, vol. 56, 1982, 171–177
Lectures on minimal models, Mémoires de la Société Mathématique de France, 2e série, tome 9–10, 1983, 1–261
with Yves Félix and Jean-Claude Thomas: Differential graded algebras in topology, in I.M. James (editor) Handbook in Algebraic Topology , Elsevier Science 1995, Chapter 16, pp. 829–865.
with Yves Félix and Jean-Claude Thomas: Rational Homotopy Theory, Graduate Texts in Mathematics, Springer Verlag 2001
References
External links
Homepage
1942 births
Living people
Cornell University alumni
Fellows of the Royal Society of Canada
People from Kingston, Ontario
Scientists from Ontario
Topologists
University of Toronto alumni
Academic staff of the University of Toronto
20th-century Canadian mathematicians
21st-century Canadian mathematicians |
https://en.wikipedia.org/wiki/Benet%20Store%20%28St.%20Augustine%29 | {
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}The Benet Store is located at 62 St. George Street, St. Augustine, Florida. The building is within the territory of the St. Augustine Town Plan Historic District.
Early Occupants
The first documented structure at this site appears on a 1765 map of the town. Later, a map of 1788 describes the house on this lot as a house of "wattle and daub in fair condition," owned by Matias Pons. It remained in his possession until he died in 1817, when his will described the property as a "stone and wood house with a store of victuals and provisions situated on St. George Street that goes to the Land Gate [present day City Gate] with its corresponding lot." The property continued in the hands of his heirs until Peter Benet purchased it in 1839.
The Benet Family
Pedro Benet (widely known as "The King of the Minorcans" after the distinctive ethnic group that settled in St. Augustine in 1777) and his wife, Juana Hernández, had ten children, among whom was Joseph Ravina Benet who later assisted in store operations. Pedro Benet's application for leave to remove his retail liquor shop from the southeast (the current reconstructed Benet House) to the southwest corner of St. George and Cuna Streets is recorded in the City Council Minute Book of October 13, 1840.
Before Pedro Benet purchased 62 St. George Street from the Pons heirs, Benet operated his own store on the ground floor of his own house across the street, as evidenced through taxes he paid on stock at $16 per year for shop licenses. After Pedro Benet died in 1870, his son Joseph Ravina Benet held occupational licenses from 1871-1883 on the house. The licenses were usually listed for keeping a store, or for selling goods, wares, and merchandise. In 1872 Joseph Ravina Benet was able to procure a license to sell wine and malt liquors, and in 1882-1883 he was able to sell tobacco and cigars.
The general store remained in existence until the late 19th century, when a notice in an 1887 newspaper appeared ordering the sale of Pedro Benet's property.
The name Benet later became world-famous because of the writings of brothers Stephen Vincent Benet and William Rose Benet (both Pulitzer Prizewinning poets) and their sister Laura Benet, also a widely published author. The literary Benet siblings were the great-grandchildren of Pedro Benet and the grandchildren of Brigadier General Stephen Vincent Benet, the first West Point appointee from the new state of Florida in 1845 and a trusted advisor to Abraham Lincoln during the Civil War. A building at West Point is named in honor of General Benet. All three of the literary Benets spent time in St. Augustine in the 1940s.
The old Benet store was demolished on August 13, 1903, before Bernard A. Masters built |
https://en.wikipedia.org/wiki/Emad%20Jassim | Emad Jassim (born 17 August 1960) is an Iraqi former footballer. He competed in the men's tournament at the 1984 Summer Olympics.
Career statistics
International goals
Scores and results list Iraq's goal tally first.
References
External links
1960 births
Living people
Iraqi men's footballers
Iraq men's international footballers
Olympic footballers for Iraq
Footballers at the 1984 Summer Olympics
Place of birth missing (living people)
Men's association football forwards
Asian Games medalists in football
Asian Games gold medalists for Iraq
Footballers at the 1982 Asian Games
Medalists at the 1982 Asian Games
Al-Quwa Al-Jawiya players |
https://en.wikipedia.org/wiki/List%20of%20Los%20Angeles%20FC%20records%20and%20statistics | Los Angeles FC is an American professional soccer team based in Los Angeles, California, that competes in Major League Soccer (MLS).
This is a list of franchise records for Los Angeles, which dates from their inaugural season in 2018 to present.
Honors
Player records
Most appearances
Bolded players are currently on the LAFC roster.
Goals
Bolded players are currently on the LAFC roster.
Most Assists
Bolded players are currently on the LAFC roster.
Most shutouts
Bolded players are currently on the LAFC roster.
Coaching records
List of seasons
International results
By competition
(Includes CONCACAF Champions League)
By club
(Includes CONCACAF Champions League)
By country and league
(Includes CONCACAF Champions League)
By season
Transfers
As per MLS rules and regulations; some transfer fees have been undisclosed and are not included in the tables below.
Highest transfer fees paid
Highest transfer fees received
References
Los Angeles FC
Los Angeles FC records and statistics
Los Angeles FC |
https://en.wikipedia.org/wiki/Journal%20of%20Time%20Series%20Analysis | The Journal of Time Series Analysis is a bimonthly peer-reviewed academic journal covering mathematical statistics as it relates to the analysis of time series data. It was established in 1980 and is published by John Wiley & Sons. The editor-in-chief is Robert Taylor (University of Essex). According to the Journal Citation Reports, the journal has a 2021 impact factor of 1.208, ranking it 94th out of 108 journals in the category "Mathematics, Interdisciplinary Applications" and 88th out of 125 in the category "Statistics & Probability".
References
External links
Statistics journals
Probability journals
Wiley (publisher) academic journals
Academic journals established in 1980
Bimonthly journals
English-language journals
Time series |
https://en.wikipedia.org/wiki/Joan%20Hu | Xiaoqiong Joan Hu is a Chinese and Canadian statistician. Her research has involved pseudolikelihood, estimating functions, missing data, and varied applications of statistics. She is a professor of statistics at Simon Fraser University.
Education and career
Hu earned a bachelor's degree in mathematics in 1983 and a master's degree in probability and statistics in 1987, both from Peking University.
She completed her Ph.D. in 1995 at the University of Waterloo with Jerry Lawless as her doctoral advisor. Her dissertation was Estimation from Truncated Data with Supplementary Information, with Applications to Field Reliability.
After postdoctoral research at Health Canada and the Harvard T.H. Chan School of Public Health, she taught at the University of Memphis from 1998 to 2003, also holding an adjunct position at St. Jude Children's Research Hospital in Memphis. She moved to Simon Fraser University in 2003,
and in 2017 added an affiliated position with the University of British Columbia (Okanagan Campus).
Recognition
Hu won the Pierre Robillard Award for 1996 for the best doctoral dissertation in statistics in Canada. In 1998, with Jerry Lawless and Kazuyuki Suzuki, she won the Frank Wilcoxon Prize.
Hu has been an elected member of the International Statistical Institute since 2007.
In 2012, the American Statistical Association named Hu as a fellow "for outstanding contributions to statistical methods for incomplete data analysis, statistical monitoring and the analysis of stochastic process data; for excellence in statistical applications in biomedical research and reliability; and for outstanding service to the profession".
References
External links
Home page
Year of birth missing (living people)
Living people
Canadian statisticians
Chinese statisticians
Women statisticians
Peking University alumni
University of Waterloo alumni
University of Memphis faculty
Academic staff of Simon Fraser University
Fellows of the American Statistical Association
Elected Members of the International Statistical Institute |
https://en.wikipedia.org/wiki/Ivan%20Smith%20%28mathematician%29 | Ivan Smith is a British mathematician who deals with symplectic manifolds and their interaction with algebraic geometry, low-dimensional topology, and dynamics. He is a professor at the University of Cambridge.
Education and career
Smith was born in 1973 to Neil Smith, a professor of linguistics at University College London. Smith studied at the University of Oxford, where he received his doctorate in 1999 under the supervision of Simon Donaldson with thesis Symplectic Geometry of Lefschetz Fibrations. Smith is now a professor in Cambridge at Gonville & Caius College.
Among other things, Smith derived nodal invariants from symplectic geometry.
He received in 2007 the Whitehead Prize for his work in symplectic topology (highlighting the breadth of applied techniques from algebraic geometry and topology) and in 2013 the Adams Prize. In 2018 he was an invited speaker at the International Congress of Mathematicians in Rio de Janeiro.
Smith was elected a Fellow of the Royal Society in 2023.
Selected publications
with Denis Auroux: Lefschetz pencils, branched covers and symplectic invariants . In: Symplectic 4-manifolds and algebraic surfaces (Cetraro, 2003), Lect. Notes in Math. 1938, Springer, 2008, 1–53, Arxiv
with Mohammed Abouzaid: "Homological mirror symmetry for the 4-torus", Duke Math. J., Vol. 152, 2010, pp. 373–440, Arxiv
Floer cohomology and pencils of quadrics , Inventiones Mathematicae, Vol. 189, 2012, pp. 149–250, Arxiv
"A symplectic prolegomenon", Bulletin AMS, Vol. 52, 2015, pp. 415–464,
Quiver algebras as Fukaya categories , Geom. Topol., Vol. 19, 2015, 2557–2617, Arxiv
with Mohammed Abouzaid: Khovanov homology from Floer cohomology , Arxiv 2015
with Mohammed Abouzaid: The symplectic arc algebra is formal , Duke Math. J., Vol. 165, 2016, pp. 985–1060, Arxiv
References
External links
Homepage in Cambridge
20th-century British mathematicians
21st-century British mathematicians
Alumni of the University of Oxford
Differential geometers
Fellows of Gonville and Caius College, Cambridge
Fellows of the Royal Society
Whitehead Prize winners
1973 births
Living people
Topologists |
https://en.wikipedia.org/wiki/Dieter%20Kotschick | Dieter Kotschick (born 1963) is a German mathematician, specializing in differential geometry and topology.
Biography
At age fifteen, Kotschick moved from Transylvania to Germany. He first studied at Heidelberg University and then at the University of Bonn. He received his doctorate from the University of Oxford in 1989 under the supervision of Simon Donaldson with thesis On the geometry of certain 4-manifolds and held postdoctoral positions at Princeton University and the University of Cambridge. He became a professor at the University of Basel in 1991 and a professor at the Ludwig Maximilian University of Munich in 1998. Kotschick has been a member of the Institute for Advanced Study three times (1989/90, 2008/09 and 2012/13). In 2012 he was elected a Fellow of the American Mathematical Society.
In 2009, he solved a 55-year-old open problem posed in 1954 by Friedrich Hirzebruch, which asks "which linear combinations of Chern numbers of smooth complex projective varieties are topologically invariant". He found that only linear combinations of the Euler characteristic and the Pontryagin numbers are invariants of orientation-preserving diffeomorphisms (and thus according to Sergei Novikov also of oriented homeomorphisms) of these varieties. Kotschick proved that if the condition of orientability is removed, only multiples of the Euler characteristic can be considered among the Chern numbers and their linear combinations as invariants of diffeomorphisms in three and more complex dimensions. For homeomorphisms he showed that the restriction on the dimension can be omitted. In addition, Kotschick proved further theorems about the structure of the set of Chern numbers of smooth complex-projective manifolds.
He classified the possible patterns on the surface of an Adidas Telstar soccer ball, i.e. special tilings with pentagons and hexagons on the sphere. In the case of the sphere, there is only the standard football (12 black pentagons, 20 white hexagons, with a pattern corresponding to an icosahedral root) provided that "precisely three edges meet at every vertex". If more than three faces meet at some vertex, then there is a method to generate infinite sequences of different soccer balls by a topological construction called a branched covering. Kotschick's analysis also applies to fullerenes and polyhedra that Kotschick calls generalized soccer balls.
Selected publications
Gauge theory is dead! Long live gauge theory! (PDF - File, 95 kB), Notices of the AMS 42, March 1995, pp. 335–338 (on the Seiberg-Witten Theory)
Topologie und Kombinatorik des Fußballs, Spektrum der Wissenschaft, 24 June 2006
References
External links
Homepage
20th-century German mathematicians
21st-century German mathematicians
Alumni of the University of Oxford
Academic staff of the University of Basel
Academic staff of the Ludwig Maximilian University of Munich
Fellows of the American Mathematical Society
Differential geometers
Topologists
1963 births
Living peo |
https://en.wikipedia.org/wiki/List%20of%20Kerala%20Blasters%20FC%20records%20and%20statistics | Kerala Blasters Football Club is an Indian professional association football club based in Kochi, Kerala, who play in the Indian Super League. Established on 27 May 2014, they were the founding members of Indian Super League in 2014.
This list encompasses the major honours won by Kerala Blasters, records set by the club, their managers and their players. The player records section includes details of the club's leading goalscorers and those who have made most appearances in first-team competitions.
Honours
Indian Super League
Runners-up (3): 2014, 2016, 2021–22
Competitive record
The table that follows is accurate as of the last match against Odisha FC on 27 October 2023.
Club records
Matches
Firsts
First match: Kerala Blasters 0–1 NorthEast United, Indian Super League, 13 October 2014
First win: Kerala Blasters 2–1 Pune City, Indian Super League, 30 October 2014
First Super Cup match: Kerala Blasters 2–3 NEROCA, 6 April 2018
First Durand Cup match: Kerala Blasters 1–0 Indian Navy, 11 September 2021
Wins
Record league win: 5–1 against Hyderabad in the Indian Super League, 5 January 2020
Record away league win:
1–4 against NorthEast United, 15 November 2015
0–3 against Mumbai City, 19 December 2021
0–3 against Chennaiyin, 22 December 2021
0–3 against NorthEast United, 5 November 2022
Record Durand Cup win: 5–0 against Indian Air Force, 21 August 2023
Record Super Cup win: 3–1 against RoundGlass Punjab, 8 April 2023
Most league wins in a season: 10 wins from 21 games (during the 2022–23 season)
Fewest league wins in a season: 2 wins from 18 games (during the 2018–19 season)
Most home league wins in a season: 7 wins from 9 games (during the 2022–23 season)
Most league wins away from home in a season: 3 wins from 9 games (during the 2022–23 season)
Defeats
Record league defeat:
0 - 5 against Mumbai City in the Indian Super League, 19 November 2016
1–6 against Mumbai City in the Indian Super League, 16 December 2018
Record league defeat at home:
3–6 against Chennaiyin in the Indian Super League, 1 February 2020 (also record-scoring defeat)
2–5 against ATK Mohun Bagan in the Indian Super League, 16 October 2022
Record Super Cup defeat:
0–2 against Indian Arrows, 15 March 2019
2–0 against Sreenidi Deccan, 12 April 2023
Record Durand Cup defeat: 0–3 against Mohammedan, 9 September 2022
Most league defeats in a season: 9 defeats from 20 games (during the 2020–21 season)
Fewest league defeats in a season:
4 defeats from 14 games (during the 2014 season)
4 defeats from 20 games (during the 2021–22 season)
Draws
Highest scoring draw:
4–4 against Odisha in the Indian Super League, 23 February 2020 (also a league record)
4–4 against Goa in the Indian Super League, 6 March 2022 (also a league record)
Most league draws in a season: 9 draws from 18 games (during the 2018–19 season)
Record consecutive results
Record consecutive wins: 5 (from 5 November to 19 December 2022)
Record consecutive defeats: 4 (from 13 |
https://en.wikipedia.org/wiki/Nicolae%20Carnat | Nicolae Carnat (born 8 April 1998) is a Romanian professional footballer who plays as a forward for Liga I side Voluntari.
Career Statistics
Club
Honours
Sepsi OSK
Cupa României runner-up: 2019–20
CFR Cluj
Liga I: 2020–21
Supercupa României: 2020
Farul Constanța
Supercupa României runner-up: 2023
References
External links
1998 births
Living people
Sportspeople from Alba Iulia
Footballers from Alba County
Romanian men's footballers
Romania men's youth international footballers
Romania men's under-21 international footballers
Men's association football midfielders
Men's association football forwards
Danish 1st Division players
Esbjerg fB players
Liga I players
FC Dunărea Călărași players
Sepsi OSK Sfântu Gheorghe players
CFR Cluj players
FC Rapid București players
CS Mioveni players
FCV Farul Constanța players
FC Voluntari players
Romanian expatriate men's footballers
Romanian expatriate sportspeople in Denmark
Expatriate men's footballers in Denmark |
https://en.wikipedia.org/wiki/G%C3%A1bor%20Sz%C3%A9kelyhidi | Gábor Székelyhidi (born 30 June 1981 in Debrecen) is a Hungarian mathematician, specializing in differential geometry.
Gábor Székelyhidi, the brother of László Székelyhidi, graduated from Trinity College, Cambridge with a bachelor's degree in 2002 (part 3 of Tripos 2003 with honours) and received from Imperial College London his PhD in 2006 under the supervision of Simon Donaldson with thesis Extremal metrics and K-stability. Székelyhidi was a postdoc at Harvard University and was from 2008 to 2011 Ritt Assistant Professor at Columbia University. At the University of Notre Dame he became an assistant professor in 2011, an associate professor in 2014, and in 2016 a full professor.
His research deals with geometric analysis and complex differential geometry (Kähler manifolds), including the existence of canonical metrics (such as extremal Kähler and Kähler-Einstein metrics) on projective manifolds, and the relations between extremal metrics and K-stability for polarised varieties and especially Fano varieties.
In 2014 he was an invited speaker at the International Congress of Mathematicians in Seoul.
Selected publications
An introduction to extremal Kaehler metrics (pdf)
References
External links
Homepage
20th-century Hungarian mathematicians
21st-century Hungarian mathematicians
Differential geometers
University of Notre Dame faculty
Alumni of Trinity College, Cambridge
Alumni of Imperial College London
1981 births
Living people |
https://en.wikipedia.org/wiki/Department%20of%20Mathematics%20and%20Statistics%2C%20McGill%20University | The Department of Mathematics and Statistics is an academic department at McGill University. It is located in Burnside Hall at McGill's downtown campus in Montreal.
History
Mathematics was taught at McGill as early as 1848 when it was a discipline of Natural Philosophy.
Mathematics at McGill was initially divided into two largely independent departments, one under the Faculty of Arts and Science and another under the Faculty of Engineering; the two departments merged in 1924 under the chairmanship of Daniel Murray. Still, mathematics remained subsidiary to other programs, owing to McGill's emphasis on engineering and British-style applied mathematics. Until 1945, Mathematics was almost wholly a service department with only seven faculty members. Though a small graduate program was shared with the Physics Department, most of the students in the program were headed for further graduate work in physics.
In 1945, department members Lloyd Williams and Gordon Pall founded the Canadian Mathematical Congress, which took the lead in persuading the National Research Council to make funds available for the support of pure mathematics. Meanwhile, as chairman of the department, A. H. S. Gillon initiated in 1945 an Applied Mathematics program and in 1948 recommended for appointment to a professorship Hans Zassenhaus, a pure mathematician who began to attract a number of strong graduate students into his program. Zassenhaus, along with Professors Wacław Kozakiewicz, Charles Fox, Edward Rosenthall, and Phil Wallace, was instrumental in developing the Department's Graduate School. McGill's first mathematics Ph.D. was awarded to Joachim Lambek, who obtained his doctorate in 1950 under Zassenhaus's supervision.
In 1963, as public funds came to the university and a larger budget became available, the newly appointment chairman, Edward Rosenthall, concentrated on building a balanced and well-qualified academic team, which could sustain a vigorous graduate program along with the demands made upon the department in a service capacity. Analysis and algebra became strong elements in the department's program in the late 1960s and the early 1970s, and there was also a lively interest in statistics and in applied mathematics. Research in category theory began in 1966, when Lambek decided to promote the subject at McGill. The number of full-time staff in the department had grown to 36 by 1960, and to 56 by 1970.
The Departmental library was established in 1971, and dedicated in 1987 in honour of Edward Rosenthall. At the time of its closure in 2015, the Rosenthall Library held over 14,000 mathematics journals dating from the nineteenth century, more than 10,000 monographs, as well as a collection of rare mathematics books.
Research
Members of the Department of Mathematics and Statistics are active in directing research in algebraic geometry, analysis, applied mathematics, category theory and logic, discrete mathematics, geometric group theory, number theory, and probab |
https://en.wikipedia.org/wiki/Angelika%20Bunse-Gerstner | Angelika Bunse-Gerstner (born 1951) is a German mathematician specializing in numerical linear algebra and control theory.
Education and career
Bunse-Gerstner earned her Ph.D. from Bielefeld University in 1978. Her dissertation, Der HR-Algorithmus zur numerischen Bestimmung der Eigenwerte einer Matrix, was jointly supervised by Ludwig Elsner and Hans Johnen.
Until 2017, Bunse-Gerstner was head of the Numerics group in the Zentrum für Technomathematik (ZeTeM) at the University of Bremen.
Book
Bunse-Gerstner is the author of a German-language textbook on numerical linear algebra, Numerische lineare Algebra (with Wolfgang Bunse, Teubner Mathematical Textbooks, 1985).
Recognition
In 2017, the Society for Industrial and Applied Mathematics listed Bunse-Gerstner as a Fellow, "for contributions in numerical linear algebra, control theory, and model reduction".
References
1951 births
Living people
20th-century German mathematicians
German women mathematicians
Bielefeld University alumni
Academic staff of the University of Bremen
Fellows of the Society for Industrial and Applied Mathematics
21st-century German mathematicians
20th-century German women
21st-century German women |
https://en.wikipedia.org/wiki/Helen%20Moore%20%28mathematician%29 | Helen Elizabeth Moore is an American mathematician. Originally a differential geometer, she moved from academia to industry and from pure to applied mathematics, and in particular the applications of control theory to combination therapy in the health industry. She is affiliated with pharmaceutical company AstraZeneca.
Education and career
Moore grew up in Charlotte, North Carolina, where her interest in mathematics came from her grandfather, an architect. In her last two years of high school, she attended a state magnet school, the North Carolina School of Science and Mathematics. Next, she attended the University of North Carolina at Chapel Hill, initially studying physics but shifting to mathematics, and starting an ongoing mathematics competition club at the university.
She completed her Ph.D. at Stony Brook University with a doctorate in differential geometry and minimal surface theory, Minimal Submanifolds with Various Curvature Bounds, supervised by Michael T. Anderson. She was frequently the only woman in her undergraduate classes, and the only woman of ten in her graduate program when she entered to leave with a Ph.D.
After completing her doctorate, Moore taught at Bowdoin College and, on a sabbatical from Bowdoin, at Stanford University. While at Stanford, she became interested in disease modeling. She became Associate Director of the American Institute of Mathematics, while continuing to work as a mentor to women in science, technology, engineering, and mathematics at Stanford. From there she moved to industry, working for Bristol-Myers Squibb and later AstraZeneca.
Moore was elected to the council of the Society for Industrial and Applied Mathematics in 2016. Furthermore, as of 2023 Moore serves as the Vice-Chair for the SIAM's Activity Group on Life Sciences.
Recognition
In 2018, the Society for Industrial and Applied Mathematics listed Moore as a Fellow, "for impactful industrial application of mathematical modeling in oncology, immunology, and virology. For mentoring, teaching, and leadership."
References
Year of birth missing (living people)
Living people
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
University of North Carolina at Chapel Hill alumni
Bowdoin College faculty
Fellows of the Society for Industrial and Applied Mathematics
20th-century women mathematicians
21st-century women mathematicians
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/Linda%20B.%20Hayden | Linda Bailey Hayden (born February 4, 1949) is an American mathematician. She specializes in mathematics education and applications of mathematics in geoscience,
and is known for her mentorship of minorities and women in science, technology, engineering, and mathematics.
She is a professor and associate dean of mathematics and computer science at Elizabeth City State University.
Education
Hayden is originally from Portsmouth, Virginia.
She grew up interested in mathematics,
but because of segregation she could only read mathematics books from the Colored Community Library in Portsmouth by specially requesting them to be transferred from the town's main library.
She attended the public schools in Portsmouth, including I. C. Norcom High School. Through her participation in high school mathematics competitions, she won a scholarship to Virginia State University, a historically black university.
She graduated from Virginia State in 1970, with a bachelor's degree in mathematics and physics, and earned a master's degree in mathematics education from the University of Cincinnati in 1972.
She completed a second master's degree in 1983 in computer science at Old Dominion University.
After this work she returned to graduate study in mathematics education, with Winson R. Coleman and Mary W. Gray at American University. She completed her Ph.D. there in 1988; her dissertation was The Impact of an Intervention Program for High Ability Minority Students on Rates of High School Graduation, College Enrollment, and Choice of a Quantitative Major.
Career
After earning her first master's degree in 1972, Hayden joined the mathematics department at Kentucky State University as an assistant professor.
She moved to Norfolk State University in 1976, and again to Elizabeth City State University in 1980. At Elizabeth City State University, she founded the Center of Excellence in Remote Sensing Education and Research, with the goal of increasing minority participation in environmental science.
Recognition
In 2003, Hayden won the Presidential Award for Excellence in Science, Mathematics, and Engineering Mentoring, and US Black Engineer magazine gave her their Emerald Honors for Educational Leadership.
A former ice shelf in the Antarctic was named for her institution by the Advisory Committee on Antarctic Names. Hayden's accomplishments earned her recognition by Mathematically Gifted & Black as a Black History Month 2017 Honoree.
References
1949 births
Living people
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
African-American mathematicians
Virginia State University alumni
University of Cincinnati alumni
Old Dominion University alumni
Kentucky State University faculty
Norfolk State University faculty
Elizabeth City State University faculty
20th-century women mathematicians
21st-century women mathematicians
Mathematicians from Virginia
20th-century African-American women
20th-century African-American people
21s |
https://en.wikipedia.org/wiki/Mudhafar%20Jabbar | Mudhafar Jabbar Tawfik (born 11 January 1965) is an Iraqi footballer. He competed in the men's tournament at the 1988 Summer Olympics. Mudhafar Jabbar is coaching Al-Hudood now.
Career statistics
International goals
Scores and results list Iraq's goal tally first.
Managerial statistics
References
External links
1965 births
Living people
Iraqi men's footballers
Iraq men's international footballers
Olympic footballers for Iraq
Footballers at the 1988 Summer Olympics
Place of birth missing (living people)
Men's association football defenders
Al-Rasheed SC players
Al-Karkh SC players
Iraqi football managers
Al-Talaba SC managers |
https://en.wikipedia.org/wiki/Serge%20Cantat | Serge Marc Cantat (born 3 June 1973, in Paris) is a French mathematician, specializing in geometry and dynamical systems.
Cantat received his PhD under the supervision of Étienne Ghys in 1999 at the École normale supérieure de Lyon. Cantat is a directeur de recherche of CNRS at the Institut de recherches mathématiques de Rennes (University of Rennes 1). He was previously directeur de recherche of CNRS at ENS Paris.
His research deals with complex dynamics and dynamics of automorphisms of algebraic surfaces. He examined the algebraic structure of Cremona groups (i.e. groups of birational automorphisms of -dimensional projective spaces over a field ) and showed with Stéphane Lamy that for an algebraically closed field and for dimension =2 the Cremona group is not a simple group. In particular, if is the field of complex numbers and =2, the Cremona group contains an infinite non-countable family of different normal subgroups.
In 2018, Cantat was an invited speaker at the International Congress of Mathematicians in Rio de Janeiro. In 2012 he received the Prix Paul Doistau–Émile Blutet for his work on dynamic systems (and especially holomorphic dynamic systems). In 2012 he was an invited speaker at the European Congress of Mathematics in Kraków. In 2012 he was awarded the Prix La Recherche.
Selected publications
Dynamique des automorphismes des surfaces K3, Acta Math., Vol. 187, 2001, pp. 1–57.
with C. Favre: Symétries birationnelles des surfaces feuilletées, J. Reine Ange. Math., Vol. 561, 2003, pp. 199–235, Arxiv
Endomorphismes des variétés homogènes, L'Enseignement Math., Vol. 49, 2004, pp. 237–262
Difféomorphismes holomorphes Anosov, Commentarii Math. Helvetici, vol. 79, 2004, pp. 779–797
with Frank Loray: Holomorphic dynamics, Painlevé VI equation, and character varieties, Annales de l'Institut Fourier, Vol. 59, 2009, pp. 2927–2978, Arxiv
Bers and Hénon, Painlevé and Schroedinger, Duke Math. Journal, Vol. 149, 2009, pp. 411–460, Arxiv
with Antoine Chambert-Loir, Vincent Guedj: Quelques aspects des systèmes dynamiques polynomiaux, Panorama et Synthèse, Volume 30, Société Math. de France 2010
In Cantat's introduction, the chapter Quelques aspects des systèmes dynamiques polynomiaux, existence, exemples, rigidité , pp. 13–96, with Chambert-Loir: Dynamique p-adique (d'après les exposés de Jean-Christophe Yoccoz) , p. 295 (Arxiv)
with Abdelghani Zeghib: Holomorphic Actions, Kummer Examples, and Zimmer Program, Annales Scientifique de l'ENS, Vol. 45, 2012, pp. 447–489, Arxiv
Sur les groupes de transformations birationnelles des surfaces, Annals of Math., Vol. 174, 2012, pp. 299–334
with Igor Dolgachev: Rational Surfaces with a Large Group of Automorphisms, J. Amer. Math. Soc., Vol. 25, 2012, pp. 863–905. Arxiv
Dynamics of automorphisms of compact complex surfaces, in: Frontiers in Complex Dynamics: In celebration of John Milnor's 80th birthday, Princeton Mathematical Series, Princeton University Press, 2012, pp. 463–514
with Sté |
https://en.wikipedia.org/wiki/Paul%20Murdin | Paul Geoffrey Murdin (born 5 January 1942) is a British astronomer. He identified the first clear candidate for a black hole, Cygnus X-1, with his colleague Louise Webster.
He studied Mathematics and Physics at the universities of Oxford and Rochester. In 1962, he took an eight-week summer residential course supporting researchers at the Royal Greenwich Observatory in Herstmonceux and at the end was offered a post by the Astronomer Royal, Richard Woolley. He left to study a PhD at Rochester and returned to the RGO in 1970 as a research fellow. During his three-year contract there, he wondered what he could contribute to find out about the provenance of powerful cosmic x-ray sources that had recently been detected, particularly Cygnus X-1.
After he had made unsuccessful searches for light variations and unusual spectra among the hundreds of stars within the area of positional uncertainty of the X-ray source, a radio star was found that was coincident with a star HDE226868. He decided, with the Australian Louise Webster, to investigate whether the star was a binary star, possibly with one of the pair being the X-ray source as well as a radio source, but not being visible. They measured the Doppler shift to find that HDE226868 was a binary star with an orbit of 5.6 days orbiting an invisible partner, presumably the source of the X-rays, and which they calculated to be certainly more than 2.5 and probably more than six solar masses. Such a star cannot be a white dwarf or neutron star and they assumed this body to be a black hole.
With Louise Webster, he submitted a paper with "modest" language to Nature, only mentioning the term “black hole” in the final sentence. Woolley was quite conservative in his views on astronomy, regarding black holes as "fanciful" (also famously dismissing worthwhile space exploration as "utter bilge"). Astronomer Charles Thomas Bolton then published a paper with a similar conclusion and more astronomers followed suit. The discovery helped Murdin to secure his future employment.
He and Webster were amongst the first staff astronomers at the Anglo-Australian Telescope and he continued in his vein of discovery using similar techniques. He returned to the Royal Greenwich Observatory and worked on developing the UK-Netherlands observatory at La Palma, which became the Isaac Newton Group of Telescopes. He was its first head of operations until 1987. He was the director of the Royal Observatory, Edinburgh from 1991–93. Then he joined the Particle Physics and Astronomy Research Council, planning and developing the UK's space research policy. He was President of the European Astronomical Society and Treasurer of the Royal Astronomical Society (to which he'd first been elected as a Junior Member at the age of 17 in 1959, moving to Fellow in April 1963), during which time membership increased, its public outreach programme was established and its journal became the most prominent worldwide. He presided over or chaired var |
https://en.wikipedia.org/wiki/Philibert%20Schogt | Philibert Schogt (born 1960) is a Dutch writer. He was born in Amsterdam, but grew up in the United States and Canada. He studied philosophy and mathematics at the University of Amsterdam. He is best known for his novels De wilde getallen and Daalder. His work has been translated into English, German, Greek, Italian, Turkish and Korean.
References
Dutch novelists
1960 births
Living people
Date of birth missing (living people)
Writers from Amsterdam
University of Amsterdam alumni |
https://en.wikipedia.org/wiki/Zimmer%27s%20conjecture | Zimmer's conjecture is a statement in mathematics "which has to do with the circumstances under which geometric spaces exhibit certain kinds of symmetries." It was named after the mathematician Robert Zimmer. The conjecture states that there can exist symmetries (specifically higher-rank lattices) in a higher dimension that cannot exist in lower dimensions.
In 2017, the conjecture was proven by Aaron Brown and Sebastián Hurtado-Salazar of the University of Chicago and David Fisher of Indiana University.
References
Symmetry
Conjectures that have been proved |
https://en.wikipedia.org/wiki/List%20of%20European%20regions%20by%20life%20expectancy | This is a list of European regions (Nomenclature of Territorial Units for Statistics regions) sorted by their average life expectancy at birth. Eurostat calculates the life expectancy based on the information provided by national statistics institutes affiliated to Eurostat. The list presents statistics for 2016 from Eurostat, as of 3 June 2018.
2016 list
See also
List of European countries by life expectancy
List of German states by life expectancy
References
Demographic lists
Europe
Life expectancy
Europe health-related lists |
https://en.wikipedia.org/wiki/Hwang%20Tae-hyeon | Hwang Tae-hyeon (; born 29 January 1999) is a South Korean footballer who plays as a right-back or a defensive midfielder for Seoul E-Land.
Career statistics
Club
Honours
International
South Korea U20
FIFA U-20 World Cup runner-up: 2019
References
External links
1999 births
Living people
Men's association football defenders
South Korean men's footballers
Ansan Greeners FC players
Daegu FC players
Seoul E-Land FC players
K League 2 players
K League 1 players
South Korea men's under-20 international footballers |
https://en.wikipedia.org/wiki/RSA%20Award%20for%20Excellence%20in%20Mathematics | The RSA Conference (RSAC) Award for Excellence in Mathematics is an annual award. It is announced at the annual RSA Conference in recognition of innovations and contributions in the field of cryptography. An award committee of experts, which is associated with the Cryptographer's Track committee at the RSA Conference (CT-RSA), nominates to the award persons who are pioneers in their field, and whose work has had applied or theoretical lasting value; the award is typically given for the lifetime achievements throughout the nominee's entire career. Nominees are often affiliated with universities or involved with research and development in the information technology industry. The award is cosponsored by the International Association for Cryptologic Research.
While the field of modern cryptography started to be an active research area in the 1970s, it has already contributed heavily to Information technology and has served as a critical component in advancing the world of computing: the Internet, Cellular networks, and Cloud computing, Information privacy, Privacy engineering, Anonymity, Storage security, and Information security, to mention just a few sectors and areas. Research in Cryptography as a scientific field involves the disciplines of Mathematics, Computer Science, and Engineering. The award, which started in 1998, is one of the few recognitions fully dedicated to acknowledging experts who have advanced the field of cryptography and its related areas (another such recognition is achieving the rank of an IACR Fellow).
The first recipient of the award in 1998 was Shafi Goldwasser. Also, many of the award winners have gotten other recognitions, such as other prestigious awards, and the rank of fellow in various professional societies, etc.
Research in Cryptography is broad and is dedicated to numerous areas. In fact, the award has, over the years, emphasized the methodological contributions to the field which involve mathematical research in various ways, and has recognized achievements in many of the following crucial areas of research:
Some areas are in the general Computational number theory and Computational algebra fields, or in the fields of Information theory and Computational complexity theory, where proper mathematical structures are constructed or investigated as underlying mathematics to be employed in the field of cryptography;
Some areas are theoretical in nature, where new notions for Cryptographic primitives are defined and their security is carefully formalized as foundations of the field, some work is influenced by Quantum computing as well;
Some areas are dedicated to designing new or improved primitives from concrete or abstract mathematical mechanisms for Symmetric-key cryptography, Public-key cryptography, and Cryptographic protocols (such as Zero-knowledge proofs, Secure multi-party computations, or Threshold cryptosystems);
Some other areas are dedicated to Cryptanalysis: the breaking of cryptographic sys |
https://en.wikipedia.org/wiki/Pavana%20Lake | {"type": "FeatureCollection", "features": [{"type": "Feature", "properties": {}, "geometry": {"type": "Point", "coordinates": [73.480339050293,18.677406206124]}}]
}
Pavana Lake, also known as Pavana Dam Reservoir and Pawna Lake, is a reservoir turned artificial lake in the Indian state of Maharashtra, formed by the Pavana Dam across the Pavana River in Pune district. The reservoir is 25 km from Lonavala and is increasingly getting popular as picnic and camping site for visitors from Pune and Mumbai.
History
The reservoir was formed as a consequence of the Pavana Dam project in Maval taluka in 1973. The backwaters of the Pavana Dam formed a reservoir, and the Pavana Dam backwaters subsequently came to be known as Pavana Lake.
Tourism
In recent years, areas surrounding Pavana Dam and Pavana Dam Reservoir have seen a rapid rise in tourism due to the waterbody's proximity to Lonavala hill station and forts such as Lohagad, Tikona, and Tung. Various camping-site businesses have been started around Pavana Lake. Agro-tourism has also flourished. Pavana Lake attracts visitors mainly from the two major neighboring cities of Pune and Mumbai. Around 4,000 people from these two cities visit the lake every weekend.
Ecological concerns and illegal activities
Due to the increasing commercialization of the nature and forest cover surrounding Pavana Dam and the banks of Pavana Lake, the backwaters and the ecosystem around the waterbody and dam are being negatively affected. In January 2018, after the death of a techie due to drowning, the Water Resources Department of the state government sent notices of eviction to 250 camping sites, alleging activities such as illegal consumption of liquor and drugs, boating in the dam reservoir, and causing damage to the local ecosystem.
The catchment areas around the lake and the hills along the waterbody are being used by Bollywood actors, traders, industrialists, and sportspersons to build farmhouses and mansions, most of them illegal, destroying the biodiversity of Pavana Lake and surrounding areas and destabilising the terrain. In July 2018, a petition was filed with the National Green Tribunal's (NGT) Pune bench against such construction around the lake.
In December 2018, a fisherman caught a giant alligator gar, a fish native to North America, in the Pavana Dam backwaters, again raising questions about the safety and illegal activities around the lake and its surrounding areas.
References
Artificial lakes of India |
https://en.wikipedia.org/wiki/KK%20Crvena%20zvezda%20in%20the%20ABA%20League | KK Crvena zvezda in the ABA League shows records and statistics of Serbian men's professional basketball club Crvena zvezda in the ABA League competition system. The ABA League, commonly known as the Adriatic League, is a regional men's professional basketball league competition between men's teams from six countries: Bosnia and Herzegovina, Croatia, Montenegro, North Macedonia, Serbia and Slovenia. Crvena zvezda made the league debut in 2002, in the second season. The club won six League Championships and one Super Cup tournament.
Overview
Note: Statistics are correct through the end of the 2021–22 season.
Competitions
League
Standings
Positions by year
Super Cup
Individual awards
League
Super Cup
All-time ideal five
In April 2020, the ABA League fans selected the Crvena zvezda all-time ideal team based on players who played for the club in the league.
References
ABA
Crvena Zvezda |
https://en.wikipedia.org/wiki/Bruce%20Weir | Bruce Spencer Weir (born 31 December 1943) is a New Zealand biostatistician and statistical geneticist. He is Professor of Biostatistics and Professor of Genome Sciences at the University of Washington. He was previously the William Neal Reynolds Professor of statistics and genetics and director of the Bioinformatics Research Center at North Carolina State University. He is known within academia for his research in statistical and forensic genetics, and outside academia for testifying in the O.J. Simpson murder trial in 1995.
Early life and education
Weir was born in Christchurch, New Zealand, the oldest child of Gordon and Peg Weir. He was a foundation pupil of Shirley Boys' High School. He went to the University of Canterbury and was the first in his family to go to university. He gained his PhD in statistics at the North Carolina State University.
Testimony in O.J. Simpson murder case
During his testimony in the O. J. Simpson murder case, Weir was pressed by lawyer Peter Neufeld on his failure to include a certain genetic marker in his calculations of some of the DNA frequencies he had analyzed. In response, Weir acknowledged that he had in fact made a calculation error in failing to include this marker in all of his analyses of DNA samples in the case. Lawyers for the defense used this admission to attempt to undermine Weir's credibility, despite the fact that the error had little effect on the validity of the DNA evidence that had been presented. Weir subsequently recalculated his statistics and described his new findings in a subsequent day of testimony. Weir stated that after redoing his calculations, the odds that a blood mixture sample taken from the steering wheel of Simpson's Ford Bronco came from two unknown people increased from 1 in 59 to 1 in 26. Similarly, the equivalent odds for a blood mixture found on a glove outside Simpson's home were revised upward from 1 in 3,900 to 1 in 1,600. In his redirect examination that day, Weir asserted that the difference between his new and original results was not very statistically significant.
Honors and awards
Weir was a Guggenheim Fellow in 1983. He was named a fellow of the American Association for the Advancement of Science in 1998 and of the American Statistical Association in 1999. He received the O. Max Gardner Award from the University of North Carolina system in 2003. In 2019, he received the Elizabeth W. Jones Award for Excellence in Education from the Genetics Society of America. In 2021 he was elected a Fellow of the Royal Society.
Personal life
Weir is married to Beth Weir, an academic with interests in reading education. They have two children: Claudia Beth and Henry Bruce.
References
External links
Faculty page
Living people
1943 births
New Zealand geneticists
New Zealand statisticians
New Zealand emigrants to the United States
Scientists from Christchurch
Fellows of the American Association for the Advancement of Science
Biostatisticians
Statistical geneticists
Universi |
https://en.wikipedia.org/wiki/Florence%20Nightingale%20David%20Award | The Florence Nightingale David Award is an award given every two years (in odd-numbered years) jointly by the Committee of Presidents of Statistical Societies and Caucus for Women in Statistics to a distinguished female statistician.
Description
The award's purpose is to "recognize a female statistician who exemplifies the contributions of Florence Nightingale David" and who "has advanced the discipline and proven herself to be an outstanding role model". Since the founding of the award, it has become a "prestigious hallmark of achievement" among female statisticians.
Winners
The Florence Nightingale David Award was first given in 2001, with David herself being given the award retroactively, dated to 1994. The winners of the award have been:
References
Awards of the Committee of Presidents of Statistical Societies
Awards established in 2001
Science awards honoring women
Biennial events |
https://en.wikipedia.org/wiki/Mark%20Sapir | Mark Sapir (February 12, 1957 - October 8, 2022) was a U.S. and Russian mathematician working in geometric group theory, semigroup theory and combinatorial algebra. He was a Centennial Professor of Mathematics in the Department of Mathematics at Vanderbilt University.
Biographical and professional information
Sapir received his undergraduate degree in mathematics (diploma of higher education) from the Ural State University in Yekaterinburg (then called Sverdlovsk), Russia, in 1978. He received his PhD in mathematics (Candidate of Sciences) degree, joint from the Ural State University and Moscow State Pedagogical Institute in 1983, with Lev Shevrin as the advisor.
Afterwards Sapir held faculty appointments at the Ural State University, Sverdlovsk Pedagogical Institute, University of Nebraska at Lincoln, before coming as a professor of mathematics to Vanderbilt University in 1997. He was appointed a Centennial Professor of Mathematics at Vanderbilt in 2001.
Sapir gave an invited talk at the International Congress of Mathematicians in Madrid in 2006. He gave an AMS Invited Address at the American Mathematical Society Sectional Meeting in Huntsville, Alabama in October 2008. He gave a plenary talk at the December 2008 Winter Meeting of the Canadian Mathematical Society. Sapir gave the 33d William J. Spencer Lecture at the Kansas State University in November 2008. He gave the 75th KAM Mathematical Colloquium lecture at the Charles University in Prague in June 2010.
Sapir became a member of the inaugural class of Fellows of the American Mathematical Society in 2012.
Sapir founded the Journal of Combinatorial Algebra, published by the European Mathematical Society, and served as its founding editor-in-chief starting in 2016. He also was an editorial board member for the journals Groups, Complexity, Cryptology and Algebra and Discrete Mathematics. His past editorial board positions include Journal of Pure and Applied Algebra, Groups, Geometry, and Dynamics, Algebra Universalis, and International Journal of Algebra and Computation (as Managing Editor).
A special mathematical conference in honor of Sapir's 60th birthday took place at the University of Illinois at Urbana–Champaign in May 2017.
Mark Sapir's elder daughter, Jenya Sapir, is also a mathematician; she was Maryam Mirzakhani's first (out of two) students. Currently, she is an assistant professor in the Department of Mathematics of Binghamton University.
Mark Sapir and his wife Olga Sapir became naturalized U.S. citizens in July 2003, after suing the BCIS in federal court over a multi-year delay of their citizenship application originally filed in 1999.
Mathematical contributions
Sapir's early mathematical work concerned mostly semigroup theory.
In geometric group theory his most well-known and significant results were obtained in two papers published in the Annals of Mathematics in 2002, the first joint with Jean-Camille Birget and Eliyahu Rips, and the second joint with Birget, Rips an |
https://en.wikipedia.org/wiki/Osgood%20Carleton | Osgood Carleton (1741–1816) was a cartographer, land surveyor, mathematics and navigation teacher, and author in Boston, Massachusetts.
Life and work
By the close of the American Revolution there rose a need for practical knowledge in the applied sciences, outside of the public schools which taught only reading, writing, Latin and basic math. In June of 1787, Carleton launched his career in lecturing, and by 1 August 1787, the Boston Board of Selectmen approved his application to open a school, teaching surveying, gauging, mensuration, algebra, geometry, geography, astronomy, dialing, navigation, gunnery, and architecture. An advertisement for his school can be found in the Peter Short 1791 ciphering book found in the Phillips Library at the Peabody Essex Museum (PEM). A surviving example of one of his teaching texts can be found at the Boston Athenaeum, Compendium of Practical Arithmetic.
He then went on to become a key cartographer in the early mapping of Maine. Carleton persuaded the Commonwealth to require that every town should make a detailed plan and he used these to create maps for Massachusetts and Maine. His maps in 1801 and 1802 offer information about economic activities in early Maine.
References
1741 births
1816 deaths
American cartographers
Schoolteachers from Massachusetts
18th-century American writers
People from Boston
19th-century American writers |
https://en.wikipedia.org/wiki/Sally%20Cockburn | Sally Patricia Cockburn (born 1947) is a mathematician whose research ranges from algebraic topology and set theory to geometric graph theory and combinatorial optimization. A Canadian immigrant to the US, she is William R. Kenan Jr. Professor of Mathematics at Hamilton College, and former chair of the mathematics department at Hamilton.
Education and career
Cockburn is originally from Ottawa. She earned a bachelor's and master's degree from Queen's University in Ontario, in 1982 and 1984 respectively, and also has a master's degree from the University of Ottawa.
She completed her Ph.D. in algebraic topology in 1991 from Yale University. Her dissertation, The Gamma-Filtration on Extra-Special P-Groups, was supervised by Ronnie Lee.
She joined the Hamilton College faculty in 1991, and was promoted to full professor in 2014. At Hamilton, she has also served as the coach for the college's squash team.
Recognition
Cockburn won the 2014 Carl B. Allendoerfer Award of the Mathematical Association of America with Joshua Lesperance for their joint work, "deranged socks", on a variation of the problem of counting derangements.
References
1960 births
Living people
Canadian mathematicians
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
Canadian women mathematicians
Queen's University at Kingston alumni
University of Ottawa alumni
Yale Graduate School of Arts and Sciences alumni
Hamilton College (New York) faculty
20th-century women mathematicians
21st-century women mathematicians
Mathematicians from New York (state)
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/Saly%20Ruth%20Ramler | Saly Ruth Ramler (1894–1993), also known as Saly Ruth Struik, was the first woman to receive a mathematics PhD from the German University in Prague, now known as Charles University. Her 1919 dissertation, on the axioms of affine geometry, was supervised by Gerhard Kowalewski and Georg Alexander Pick. She married the Dutch mathematician and historian of mathematics Dirk Jan Struik in 1923. Between 1924 and 1926, the pair traveled Europe and met many prominent mathematicians, using Dirk Struik's Rockefeller fellowship. In 1926, they emigrated to the United States, and Dirk Struik accepted a position at MIT.
References
External links
People from Kolomyia
20th-century Czech mathematicians
1894 births
1993 deaths
20th-century women mathematicians
Charles University alumni
20th-century American mathematicians
Czechoslovak emigrants to the United States |
https://en.wikipedia.org/wiki/Journal%20of%20Computational%20and%20Applied%20Mathematics | The Journal of Computational and Applied Mathematics is a peer-reviewed scientific journal covering computational and applied mathematics. It was established in 1975 and is published biweekly by Elsevier. The editors-in-chief are Yalchin Efendiev (Texas A&M University), Taketomo Mitsui (Nagoya University), Michael Kwok-Po Ng (Hong Kong Baptist University) and Fatih Tank (Ankara University). According to the Journal Citation Reports, the journal has a 2021 impact factor of 2.872.
References
External links
Biweekly journals
Applied mathematics
Mathematics journals
Elsevier academic journals
Academic journals established in 1975
English-language journals
Computational mathematics |
https://en.wikipedia.org/wiki/Annette%20Werner | Annette Werner (born 1966) is a German mathematician. Her research interests include diophantine geometry and the algebraic geometry of non-Archimedean ordered fields, including the study of buildings, Berkovich spaces, and tropical geometry. She is a professor of mathematics at Goethe University Frankfurt.
Education and career
Werner earned a diploma in mathematics from the University of Münster in 1991. She earned her Ph.D. at the same university in 1995, jointly supervised by Christopher Deninger and Siegfried Bosch; her dissertation was Local Heights on Uniformized Abelian Varieties and on Mumford Curves. She also completed her habilitation at Münster in 2000.
She worked as a postdoctoral researcher at the Max Planck Institute for Mathematics in Bonn in 1997–1998, and as an assistant at Münster from 1998 to 2003. She became a professor at the University of Siegen in 2004, but in the same year moved to the University of Stuttgart. She has been at the University of Frankfurt since 2007.
Book
Werner is the author of a German-language book on elliptic curve cryptography, Elliptische Kurven in der Kryptographie (Springer, 2002).
Recognition
Werner was Emmy Noether Lecturer of the German Mathematical Society in Munich in 2010.
References
1966 births
Living people
20th-century German mathematicians
German women mathematicians
University of Münster alumni
Academic staff of the University of Siegen
Academic staff of the University of Stuttgart
Academic staff of Goethe University Frankfurt
21st-century German mathematicians
20th-century German women
21st-century German women |
https://en.wikipedia.org/wiki/Daiki%20Enomoto | is a Japanese football player who plays for Biwako Shiga.
Playing career
Enomoto was born in Chiba Prefecture on June 21, 1996. He joined J1 League club Nagoya Grampus in 2018.
Career statistics
Last update: 27 February 2019
References
External links
1996 births
Living people
Tokai Gakuen University alumni
Association football people from Chiba Prefecture
Japanese men's footballers
J1 League players
J2 League players
Nagoya Grampus players
Tokushima Vortis players
Ehime FC players
Men's association football forwards |
https://en.wikipedia.org/wiki/Annette%20Imhausen | Annette Imhausen (also known as Annette Warner, born June 12, 1970) is a German historian of mathematics known for her work on Ancient Egyptian mathematics. She is a professor in the Normative Orders Cluster of Excellence at Goethe University Frankfurt.
Education and career
Imhausen studied mathematics, chemistry, and Egyptology at Johannes Gutenberg University Mainz, passing the Staatsexamen in 1996. She then continued her studies in Egyptology and Assyriology at the Freie Universität Berlin. In 2002, She completed her doctorate in the history of mathematics at Mainz under the joint supervision of David E. Rowe and James Ritter.
She held a fellowship at the Dibner Institute for the History of Science and Technology (Cambridge, MA) before she received a Junior Research Fellowship at the University of Cambridge from 2003 to 2006.
She returned to Mainz as an assistant professor from 2006 to 2008, and became a professor at Frankfurt in 2009.
Contributions
Imhausen is featured in the BBC TV series The Story of Maths.
Her dissertation, Ägyptische Algorithmen. Eine Untersuchung zu den mittelägyptischen mathematischen Aufgabentexten, was published by Harrassowitz Verlag in 2002 (Ägyptologische Abhandlungen, vol. 65).
She is also the author of Mathematics in Ancient Egypt: A Contextual History (Princeton University Press, 2016).
References
1970 births
Living people
21st-century German historians
21st-century German mathematicians
Women mathematicians
German historians of mathematics
Johannes Gutenberg University Mainz alumni
Academics of the University of Cambridge
Academic staff of Johannes Gutenberg University Mainz
Academic staff of Goethe University Frankfurt
German women historians
21st-century German women writers |
https://en.wikipedia.org/wiki/%C3%81lvaro%20Rodrigues | Álvaro Rodrigues Vieira Júnior (born July 19, 1993) is a Brazilian football player who plays as a midfielder.
Career statistics
Last update: end of 2018 season
References
External links
1993 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
J2 League players
Clube Atlético Mineiro players
Tupi Football Club players
América Futebol Clube (RN) players
Nacional Futebol Clube players
Associação Desportiva Confiança players
Montedio Yamagata players
Matsumoto Yamaga FC players
Men's association football midfielders
Brazilian expatriate sportspeople in Japan
Expatriate men's footballers in Japan
Footballers from São Paulo |
https://en.wikipedia.org/wiki/J%C3%B4%20%28footballer%2C%20born%201995%29 | Joarlem Batista Santos, known as Jô (born 1 May 1995) is a Brazilian professional footballer who plays as a forward for Chaves in Primeira Liga.
Club statistics (Japan only)
Updated to end of 2018 season.
References
External links
1995 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
Men's association football forwards
J2 League players
União São João Esporte Clube players
Mogi Mirim Esporte Clube players
Marília Atlético Clube players
Capivariano Futebol Clube players
Esporte Clube Taubaté players
Associação Atlética Francana players
Esporte Clube Comercial (MS) players
Clube Atlético Linense players
Mito HollyHock players
Grêmio Esportivo Juventus players
S.C. Covilhã players
Brazilian expatriate sportspeople in Japan
Brazilian expatriate sportspeople in Portugal
Expatriate men's footballers in Japan
Expatriate men's footballers in Portugal |
https://en.wikipedia.org/wiki/Ryoma%20Watanabe | is a Japanese football player who plays for FC Tokyo.
Playing career
Watanabe was born in Saitama Prefecture on October 2, 1996. He joined J2 League club Albirex Niigata in 2018.
Career statistics
References
External links
1996 births
Living people
Association football people from Saitama Prefecture
Japanese men's footballers
Japanese expatriate men's footballers
Regionalliga players
J2 League players
J1 League players
FC Ingolstadt 04 players
FC Ingolstadt 04 II players
Albirex Niigata players
Montedio Yamagata players
FC Tokyo players
Men's association football midfielders
Japanese expatriate sportspeople in Germany
Expatriate men's footballers in Germany |
https://en.wikipedia.org/wiki/Juninho%20%28footballer%2C%20born%201994%29 | Junior Silva Ferreira (born September 26, 1994), also known as Juninho, is a Brazilian footballer who plays for J2 League club Tochigi SC.
Career statistics
Last update: end of 2022 season
References
External links
1994 births
Living people
Brazilian men's footballers
J2 League players
FC Osaka players
Kyoto Sanga FC players
Tochigi SC players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Shimpei%20Fukuoka | is a Japanese football player.
Playing career
Fukuoka was born in Nara Prefecture on June 27, 2000. He joined J2 League club Kyoto Sanga FC from youth team in 2018.
Career statistics
Updated to 20 July 2022.
References
External links
2000 births
Living people
Association football people from Nara Prefecture
Japanese men's footballers
J1 League players
J2 League players
Kyoto Sanga FC players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Renan%20%28footballer%2C%20born%201996%29 | Renan dos Santos Paixao (born July 28, 1996) is a Brazilian football player. He plays for J2 League club Renofa Yamaguchi.
Club statistics (Japan only)
Updated to January 1, 2021.
References
External links
Profile at Renofa Yamaguchi
1996 births
Living people
Brazilian men's footballers
J2 League players
Renofa Yamaguchi FC players
Men's association football defenders |
https://en.wikipedia.org/wiki/Taiga%20Nishiyama | is a Japanese football player.
Playing career
Nishiyama was born in Kanagawa Prefecture on August 24, 1999. He joined J1 League club Yokohama F. Marinos from youth team in 2018.
Club statistics
Updated to May 18, 2019.
References
External links
1999 births
Living people
Association football people from Kanagawa Prefecture
Japanese men's footballers
J1 League players
Yokohama F. Marinos players
ReinMeer Aomori players
Men's association football defenders |
https://en.wikipedia.org/wiki/Kenta%20Ito | is a Japanese football player.
Playing career
Ito was born in Aichi Prefecture on May 12, 1999. He joined J1 League club Shimizu S-Pulse from youth team in 2018.
Career statistics
Last update: May 18th, 2019.
References
External links
1999 births
Living people
Association football people from Aichi Prefecture
Japanese men's footballers
J1 League players
Shimizu S-Pulse players
Men's association football defenders |
https://en.wikipedia.org/wiki/Lis%20Brack-Bernsen | Lis Brack-Bernsen (born 2 March 1946) is a Danish and Swiss mathematician, historian of science, and historian of mathematics, known for her work on Babylonian astronomy. She is an extraordinary professor of the history of science at the University of Regensburg.
Education and career
Brack-Bernsen was born in Copenhagen on 2 March 1946. She earned a diploma in mathematics with a minor in physics from the University of Copenhagen in 1970, with Olaf Schmidt as a mentor,
and completed her Ph.D. in the history of mathematics in 1974 at the University of Basel, also with studies at Stony Brook University. Her dissertation was Die Basler Mayatafeln; astronomische Deutung der Inschriften auf den Türstürzen 2 und 3 aus Tempel IV in Tikal, and was promoted by J. O. Fleckenstein.
She worked as a lecturer at the University of Copenhagen for 1974–1975, as a researcher at Stony Brook University from 1975 to 1977, and as a researcher in Grenoble and Regensburg from 1977 to 1979. However, at this time she left research to raise a family.
In 1997 she completed her habilitation at Goethe University Frankfurt. She worked as a privatdozentin at Goethe University until 1999, when she moved to the University of Regensburg.
Contributions
Brack-Bernsen founded the “Regensburg” workshop series, which assembled specialists in Babylonian astronomy for intense and productive discussions about critical areas in the field. Following her inaugural 2002 workshop in Regensburg, which lent its name to the series, subsequent workshops were held in Amsterdam in 2004, Durham in 2008, and Berlin in 2014.
Lunar Six
One of Brack-Bernsen's most important contributions to the field of the history of the exact sciences was her identification of a method used by Babylonian astronomers for predicting the time between the rising and setting of the moon and sun, called the lunar six, that are preserved on tablet TU 11. The lunar six are a group of six time interval measurements used in Babylonian astronomy, consisting of four intervals measured around the full moon in the middle of the Babylonian lunar month, and two measured around the new moon. The four values measured in the middle of the month, often called the lunar four, include ŠU2 (moonset to sunrise), NA (sunrise to moonset), ME (moonrise to sunset), and GE6 (sunset to moonrise). ŠU2 and NA can be seen as measuring the same quantity — if the moon sets first, the interval is labelled ŠU2, while if the sunset comes first it is called NA. ME and GE6 are both measured on the eastern horizon, while ŠU2 and NA are both measured on the western horizon. At the beginning of the month, the interval NA measures the time from sunset to moonset, and on the day when the moon is seen for the last time the interval KUR measures moonrise to sunset. While much of Babylonian astronomy is rooted in the observation of these phenomena, astronomers developed ways of predicting values for the lunar six to both aid and supplement observational record |
https://en.wikipedia.org/wiki/Lynn%20Batten | Lynn Margaret Batten (1948 – 28 July 2022) was a Canadian-Australian mathematician known for her books about finite geometry and cryptography, and for her research on the classification of malware.
Education and career
Batten earned her Ph.D. at the University of Waterloo in 1977.
Her dissertation was D-Partition Geometries.
Formerly the Associate Dean for Academic and Industrial Research at the University of Manitoba, she holds the Deakin Chair in Mathematics at Deakin University in Australia, where she directed the information security group.
Books
Combinatorics of Finite Geometries (Cambridge University Press, 1986; 2nd ed., 1997)
The Theory of Finite Linear Spaces: Combinatorics of Points and Lines (with Albrecht Beutelspacher, Cambridge University Press 1993)
Public Key Cryptography: Applications and Attacks (Wiley, 2013)
References
External links
Home page
1948 births
Living people
Australian mathematicians
Canadian mathematicians
Women mathematicians
University of Waterloo alumni
Academic staff of the University of Manitoba
Academic staff of Deakin University |
https://en.wikipedia.org/wiki/Constance%20F.%20Citro | Constance Ann Forbes Citro (born June 9, 1942) is an American political scientist and statistician. She is the former director of the Committee on National Statistics of the National Academies of Sciences, Engineering, and Medicine and works as a senior scholar for the Committee on National Statistics.
Education and career
Constance Ann Forbes was born on June 9, 1942, in St. Louis, Missouri, to Gilbert B. Forbes, a pediatrician, and Grace Moehlman Forbes. She was the granddaughter of Baptist minister and theological scholar Conrad Henry Moehlman.
She studied political science as an undergraduate at the University of Rochester, graduating Phi Beta Kappa in 1963. Her father was on the faculty of the U of R Medical School, and numerous relatives were graduates, including both her parents, her late husband, Joseph F. Citro (1941-2020), whom she married on June 19, 1965, and their son Jeremy F. Citro. She went to Yale University for a master's degree and Ph.D. in political science, studying under James David Barber.
Citro joined the Committee on National Statistics in 1984 and directed the committee from 2004 to 2017. She was previously vice president of Mathematica Policy Research, vice president of Data Use and Access Laboratories (DUALabs), and social science analyst with the US Census Bureau.
Recognition
Citro became a Fellow of the American Statistical Association in 1987. She is an elected member of the International Statistical Institute.
She won the 1997 Roger Herriot Award for Innovation in Federal Statistics, for contributions including directing panel studies on poverty measurement, microsimulation for social welfare programs, and the 1990 and 2000 censuses.
She also won the Waksberg Award in survey methodology in 2014.
In 2018 the American Statistical Association established an annual award, the Links Lecture Award, "to honor the contributions of Constance Citro, Robert Groves, and Fritz Scheuren".
References
1942 births
Living people
American women statisticians
University of Rochester alumni
Yale Graduate School of Arts and Sciences alumni
Elected Members of the International Statistical Institute
Fellows of the American Statistical Association
American women political scientists
American political scientists
21st-century American women |
https://en.wikipedia.org/wiki/Temur%20Sabirov | Temur Sabirov was a Soviet and Tajik Doctor of Physics and Mathematics.
Life
Temur Sabirov was born on 3 April 1940 in Sufiyen, Tajikistan. He was the third youngest of six children. After his father passed away at an early age, he was sent to study at a boarding school. Sabirov's father was a government tax collector. His mother was a housewife. His siblings and relatives are also highly respected and have been involved in politics. His older brother is Bozor Sobir, Tajikistan's most well-known and preeminent poet, and politician. His older brother was also a mathematician and ran for a Senate seat. His nephew, also a mathematician, was the head of a Democratic Party in Tajikistan until his resignation in 2000s. His other siblings went into teaching.
Scientific career
He completed his doctorate in Voronezh, Russia. He was a student of Mark Krasnosel'skii, who was a Soviet, Russian and Ukrainian mathematician renowned for his work on nonlinear functional analysis and its applications. Temur Sobirov was a professor in Voronezh State University in Russia. His field of research was the theory of ordinary differential equations. His works have been published in Soviet as well as European and American mathematical and physics journals. He has published over 60 scientific articles. He has made a big contribution in the education of young scientists of Tajikistan.
Distinctions
A government primary school as well as a street is named after him in Tajikistan.
Family
He met his wife Nina while studying in Voronezh. He has one son Arthur Sobirov, who at the time of Sobirov's teaching at Voronezh State University attended the Suvorov Military School.
Death
After an acute illness Sabirov died on June 23, 1977, at the age of 37 in Voronezh, but his body was transported to his birthplace near Orzhenikidzebad, now Vahdat, Tajikistan.
References
1942 births
1977 deaths
Voronezh State University alumni
Academic staff of Voronezh State University
Soviet mathematicians |
https://en.wikipedia.org/wiki/Toomer%27s%20Corner | {
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Toomer's Corner is a street corner located at the intersection of Magnolia Avenue and College Street, and marks the northeastern-most reach of the campus of Auburn University, and the beginning of downtown Auburn, Alabama. Two landmarks are located on Toomer's Corner, the Bank of Auburn (now a branch of PNC Bank) and Toomer's Drugs Pharmacy, which was the first establishment in the city with a telegraph, and the intersection is patterned in bricks forming the paw print logo of the Auburn Tigers athletic teams (it was formerly painted on regular concrete).
The employees at Toomer's Drugs Pharmacy, after discovering that Auburn had won a football game before the team broadcast away games on radio, would throw the ticker tape from their telegraph onto the power lines. The area's primary source of popularity comes from an Auburn tradition that arose over a century ago and has not ceased over the years in bringing people nearby to the landmark.
History and tradition
Toomer's Corner is named after businessman and former State Senator Sheldon Toomer, a former halfback for the first Auburn squad in 1892. Toomer founded Toomer's Drugs in 1896, which was started with a $500 loan from John Reese, and Toomer later founded the Bank of Auburn on the corner of Magnolia Avenue and College Street in 1907. The pharmacy was later sold in 1952 by Toomer to Mac and Elizabeth Lipscomb, who chose against renaming the pharmacy. In 1962 Auburn fans and students began to celebrate the games by covering the power lines outside of the pharmacy and the trees directly opposite with toilet paper. There is much controversy over when "rolling the corner" became a celebration for all things Auburn. It is theorized by David Housel that it began in 1972 when #9 Auburn scored an upset in the Iron Bowl against #2 Alabama, a game remembered by the title "Punt Bama Punt".
The rolling of the corner was initially set off by the employees that worked at Toomer's Drugs pharmacy using an inventive way to signal a victory for Auburn while playing away games; they would throw the ticker tape from their telegraph onto the power lines outside of the store. In 1984, the drug store was sold to Mark Morgan. Five years after the store was sold to Morgan, the Iron Bowl made its first stop in Auburn and was one of the first times Toomer's Corner was covered with endless rolls of toilet paper. The store has been resold a couple of times in the 1990s but the tradition that Toomer's Corner sparked has remained. The power lines have since been relocated under the ground but Auburn's tradition of rolling the trees on the southeast part of the corner never slowed. As of 2019, Toomer's Corner continues to bring fans, residents, and even visito |
https://en.wikipedia.org/wiki/Meier%20Eidelheit | Meier "Maks" Eidelheit
(6 July 1910 – March 1943)
was a Polish mathematician belonging to the Lwów School of Mathematics who worked in Lwów and was murdered in the Holocaust.
Biography
Meier Eidelheit left the Lwów Gymnasium in 1929 and then studied mathematics at the scientific faculty in Lwów, completing his study in 1933 with a thesis on the theory of summation.
In 1938, with Stefan Banach as supervisor, he gained a doctorate from the Jan-Kazimierz-University of Lwów with a Dissertation über die Auflösbarkeit eines linearen Gleichungssystems mit unendlich vielen Unbekannten.
From 1933 to 1939 he gave private lectures;
from 31 January 1939 onwards he was an Assistant Professor of Analysis,
from 21 March 1941 he was candidate for a professorship.
He worked mainly on Functional analysis.
On the basis of his 1936 paper on convex sets in linear normed spaces,
geometric versions of the hyperplane separation theorem are also known (in German) as Trennungssatz von Eidelheit (Eidelheit separation theorem).
A theorem on the solubility of certain infinite systems of equations in Fréchet spaces is also named after him.
Eidelheit published six papers in Studia Mathematica from 1936 to 1940; a seventh was printed posthumously. Eidelheit was an active contributor to the Scottish Book, posing problems 172, 173, 174, 176 and 188
and answering problem 26 (Mazur), 64 (Mazur), 162 (Steinhaus), and 176 (Eidelheit).
Meier Eidelheit was murdered in the Holocaust in March 1943.
His posthumously published article Quelques remarques sur les fonctionelles linéaires in volume 10 of the Studia Mathematica was prefaced with the following lines:
"L’auteur de ce travail a été assassiné par les Allemands en mars de 1943. Le manuscrit qu’il fut parvenir à la Rédaction en 1941 a été retrouvé récemment entre les papiers laissés par S. Banach."
(in English: The author of this work was murdered in March 1943 by the Germans.
The manuscript, which reached the editors in 1941, was recently found among the writings left by S. Banach.)
See also
Hyperplane separation theorem
List of Poles § Mathematics
Scottish Book
References
in History of Mathematics, "Polish mathematics in the first half of the twentieth century", 23–27 May 2011, Będlewo, Poland (paper in preparation as per).
Notes
1910 births
1943 deaths
20th-century Polish mathematicians
Scientists from Lviv
Polish people who died in the Holocaust
Functional analysts |
https://en.wikipedia.org/wiki/Anne%20Schilling | Anne Schilling is an American mathematician specializing in algebraic combinatorics, representation theory, and mathematical physics. She is a professor of mathematics at the University of California, Davis.
Education
Schilling completed her Ph.D. in 1997 at Stony Brook University. Her dissertation, Bose-Fermi Identities and Bailey Flows in Statistical Mechanics and Conformal Field Theory, was supervised by Barry M. McCoy. From 1997 until 1999, she was a postdoctoral fellow at the Institute for Theoretical Physics at Amsterdam University and from 1999 until 2001, she was a C.L.E. Moore Instructor at the Mathematics Department at M.I.T.. After that she joined the faculty at the Department of Mathematics at UC Davis.
Books
With Thomas Lam, Luc Lapointe, Jennifer Morse, Mark Shimozono, and Mike Zabrocki, Schilling is the author of the research monograph -Schur Functions and Affine Schubert Calculus (Fields Institute Monographs 33, Springer, 2014).
With Isaiah Lankham and Bruno Nachtergaele, Schilling is the author of the textbook on linear algebra, Linear Algebra as an Introduction to Abstract Mathematics (World Scientific, 2016).
With Daniel Bump, she is the author of a more advanced book on crystal bases in representation theory, Crystal Bases: Representations and Combinatorics (World Scientific, 2017).
Recognition
Schilling was included in the 2019 class of fellows of the American Mathematical Society "for contributions to algebraic combinatorics, combinatorial representation theory, and mathematical physics and for service to the profession". For the academic year 2012–2013 she was awarded a Simons Fellowship. In 2002 she received a Humboldt Research Fellowship and was a Fulbright Scholar from 1992-1993 as a doctoral student. Schilling was selected to be the 43rd Emmy Noether Lecturer at the Joint Mathematics Meetings to be held in San Francisco on January 3 – 6, 2024.
References
External links
Home page
Year of birth missing (living people)
Living people
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
Combinatorialists
Mathematical physicists
Stony Brook University alumni
University of California, Davis faculty
Fellows of the American Mathematical Society
20th-century women mathematicians
21st-century women mathematicians
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/Efstratia%20Kalfagianni | Efstratia (Effie) Kalfagianni is a Greek American mathematician specializing in low-dimensional topology.
Early life
Kalfagianni was born in 1965 in Greece. She lived on a small Greek island most of her early life. She started getting into math as a sophomore in high school because of classes in euclidean geometry and elementary number theory. Her teachers encouraged her to pursue math in college as well.
Education and Career
Kalfagianni graduated from Aristotle University of Thessaloniki in October 1987. After earning a master's degree in 1990 at Fordham University,
she moved to Columbia University for doctoral studies, earning a second master's degree in 1991 and completing her Ph.D. in 1995. Her dissertation, Finite Type Invariants for Knots in 3-Manifolds, was supervised by Joan Birman and Xiao-Song Lin.
After postdoctoral study at the Institute for Advanced Study and three years as Hill Assistant Professor at Rutgers University, she moved to Michigan State University in 1998. She was promoted to full professor in 2008 and received the MSU William J. Beal Outstanding Faculty Award in 2019.
Contributions
Kalfagianni works in knot theory, three-manifolds, hyperbolic geometry, quantum topology and the interplay of these fields.
Kalfagianni is an editor for the New York Journal of Mathematics. She was also one of the editors of the book Interactions Between Hyperbolic Geometry, Quantum Topology and Number Theory (Contemporary Mathematics
Volume: 541, AMS, 2011) .
Book
With David Futer and Jessica Purcell, Kalfagianni is co-author of the research monograph Guts of Surfaces and the Colored Jones Polynomial (Lecture Notes in Mathematics 2069, Springer, 2013). The monograph derives relations between colored Jones polynomials, the topology of incompressible spanning surfaces in knot and link complements and hyperbolic geometry.
Recognition
Kalfagianni was a member at the Institute for Advanced Study in 1994–1995 in 2004-2005 and in the Fall term of 2019.
She was included in the 2019 class of fellows of the American Mathematical Society "for contributions to knot theory and 3-dimensional topology, and for mentoring".
References
External links
Home page
Publications
Year of birth missing (living people)
Living people
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
Greek mathematicians
Greek women mathematicians
Topologists
Aristotle University of Thessaloniki alumni
Fordham University alumni
Columbia University alumni
Rutgers University faculty
Michigan State University faculty
Fellows of the American Mathematical Society
20th-century women mathematicians
21st-century women mathematicians
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/Fioralba%20Cakoni | Fioralba Cakoni is an American-Albanian mathematician and an expert on inverse scattering theory. She is a professor of mathematics at Rutgers University.
Education and career
Cakoni earned bachelor's and master's degrees from the University of Tirana in 1987 and 1990 respectively. She completed her Ph.D. in 1996, jointly between the University of Tirana and University of Patras, supervised by George Dassios. Her dissertation was Some Results on the Abstract Wave Equation. Problems of the Scattering Theory in Elasticity and Thermoelasticity in Low-Frequency.
She became a lecturer at the University of Tirana and then, from 1998 to 2000, a Humboldt Research Fellow at the University of Stuttgart. She came to the US for additional postdoctoral research at the University of Delaware in 2000, and stayed at Delaware as an assistant professor beginning in 2002. She moved to Rutgers University-New Brunswick in 2015 where she is now distinguished professor of mathematics. She serves on the Scientific Advisory Board for the Institute for Computational and Experimental Research in Mathematics (ICERM).
Books
Cakoni is the author or coauthor of:
Qualitative Methods in Inverse Scattering Theory (with David Colton, Springer, 2006)
The Linear Sampling Method in Inverse Electromagnetic Scattering (with David Colton and Peter Monk, Society for Industrial and Applied Mathematics, 2011)
A Qualitative Approach to Inverse Scattering Theory (with David Colton, Springer, 2014)
Inverse Scattering Theory and Transmission Eigenvalues (with David Colton and Houssem Haddar, Society for Industrial and Applied Mathematics, 2016)
Recognition
Cakoni was included in the 2019 class of fellows of the American Mathematical Society "for contributions to analysis of partial differential equations especially in inverse scattering theory". In 2021 Cakoni was elected foreign member of the Academy of Sciences of Albania. She was elected to the 2023 Class of SIAM Fellows.
References
External links
Home page
Year of birth missing (living people)
Living people
Albanian mathematicians
American mathematicians
Women mathematicians
University of Tirana alumni
University of Patras alumni
Academic staff of the University of Tirana
Fellows of the American Mathematical Society |
https://en.wikipedia.org/wiki/Susan%20Hermiller | Susan Marie Hermiller is an American mathematician specializing in the computational, combinatorial, and geometric theory of groups. She is a Willa Cather Professor of Mathematics and a former Graduate Chair for Mathematics at the University of Nebraska–Lincoln.
Education and career
Hermiller earned a bachelor's degree in mathematics and physics from Ohio State University in 1984. She went to Cornell University for graduate study in mathematics, earning a master's degree in 1987 and completing her Ph.D. in 1992. Her doctoral advisor was Kenneth Brown, and her dissertation was Rewriting Systems for Coxeter Groups.
After postdoctoral research at the Mathematical Sciences Research Institute and the University of Melbourne, she became an assistant professor of mathematics at New Mexico State University in 1994.
She moved to the University of Nebraska–Lincoln in 1999.
Service
Hermiller was a founding member of the Committee on Women in Mathematics of the American Mathematical Society, in 2013. She also served as the American Mathematical Society representative on the Joint Committee on Women in the Mathematical Sciences for 2011 through 2013. She was also a former AMS Council member at large.
Recognition
Hermiller became the Willa Cather Professor in 2017.
She was included in the 2019 class of fellows of the American Mathematical Society "for contributions to combinatorial and geometric group theory and for service to the profession, particularly in support of underrepresented groups".
References
External links
Home page
Year of birth missing (living people)
Living people
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
Ohio State University College of Arts and Sciences alumni
Cornell University alumni
New Mexico State University faculty
University of Nebraska–Lincoln faculty
Fellows of the American Mathematical Society
20th-century women mathematicians
21st-century women mathematicians
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/Irena%20Swanson | Irena Swanson is an American mathematician specializing in commutative algebra. She is head of the Purdue University Department of Mathematics since 2020. She was a professor of mathematics at Reed College from 2005 to 2020.
Education and career
Swanson is originally from the former Yugoslavia, in what is now Slovenia, and was attracted to mathematics from a very young age.
She came to the US as an exchange student in Tooele, Utah in her last year of high school. There, she became interested in Reed College, the alma mater of her host family's daughter, and applied only to Reed for her undergraduate studies. She is a 1987 graduate of Reed, with an undergraduate thesis on functional analysis.
She went to Purdue University for graduate study, completing her Ph.D. in mathematics in 1992. Her dissertation, Tight Closure, Joint Reductions, And Mixed Multiplicities, was supervised by Craig Huneke. She became assistant professor at the University of Michigan in 1992 and joined the faculty at New Mexico State University in 1995, becoming full professor in 2005. In the same year she moved back to Reed.
Swanson returned to Purdue in 2020 as Head of the Department of Mathematics. She is the first woman to hold the position.
Contributions
With her advisor, Craig Huneke, Swanson is the author of the book Integral Closure of Ideals, Rings, and Modules (Cambridge University Press, 2006). She is currently an Associate Editor for the Journal of Commutative Algebra.
Swanson is also a creator of mathematical quilts,
and is the inventor of a quilting technique, "tube piecing", for making quilts more efficiently.
Recognition
Swanson was included in the 2019 class of fellows of the American Mathematical Society "for contributions to commutative algebra, exposition, service to the profession and mentoring".
References
External links
Home page
Tube piecing online
Year of birth missing (living people)
Living people
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
Yugoslav mathematicians
Reed College alumni
University of Michigan alumni
Reed College faculty
Fellows of the American Mathematical Society
20th-century women mathematicians
21st-century women mathematicians
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/Claudia%20Polini | Claudia Polini is an Italian mathematician specializing in commutative algebra. She is the Glynn Family Honors Collegiate Professor of Mathematics at the University of Notre Dame, and directs the Center of Mathematics at Notre Dame.
Education and career
Polini's mother was a school teacher, and before Polini reached school age herself she was already solving the mathematics problems in her mother's lessons.
She graduated from the University of Padua in 1990, and completed her Ph.D. at Rutgers University in 1995, with Wolmer Vasconcelos as her doctoral advisor. Her dissertation was Studies on Singularities.
After postdoctoral research at Michigan State University, she became an assistant professor at Hope College in Michigan in 1998, then moved to the University of Oregon in 2000 and to Notre Dame in 2001.
Contributions
Polini is currently an Associate Editor for the Journal of Commutative Algebra, Proceedings of the American Mathematical Society, and Journal of Algebra. She co-authored the research monograph A Study of Singularities on Rational Curves Via Syzygies with David Cox, Andrew R. Kustin, and Bernd Ulrich.
Recognition
At Notre Dame, Polini became the Rev. John Cardinal O'Hara, C.S.C Professor of Mathematics in 2010, and the Glynn Family Honors Professor in 2018.
She was included in the 2019 class of fellows of the American Mathematical Society "for contributions to commutative algebra and for service to the profession".
References
External links
Home page
Year of birth missing (living people)
Living people
20th-century American mathematicians
21st-century American mathematicians
Italian mathematicians
American women mathematicians
University of Padua alumni
Rutgers University alumni
Hope College faculty
University of Oregon faculty
University of Notre Dame faculty
Fellows of the American Mathematical Society
20th-century women mathematicians
21st-century women mathematicians
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/Degenerate%20triangle | Degenerate triangle or degenerate triangles may refer to:
Degeneracy (mathematics)#Triangle, a triangle with collinear vertices and zero area in mathematics
Glossary of computer graphics#Degenerate triangles, a type of triangle primitive in computer graphics |
https://en.wikipedia.org/wiki/Jonathan%20Mboyo%20Esole | Jonathan Mboyo Esole (born February 24, 1977) is an associate professor of mathematics at Northeastern University. He works on the geometry of string theory.
Early life and career
Esole was born in Kinshasa and attended Collège Boboto. He moved to Belgium at the age of three and did not return to the Congo for six years. He studied at the Free University of Brussels, the same university his father had attended. In his thesis, Unicité de la supergravité D=4 N=1 par les méthodes BRST, he demonstrated the uniqueness of N=1 supergravity in four spacetime dimensions with minimal assumptions using homological methods. This was a major result in the field as it showed that under mild assumptions that if a free graviton is coupled to a particle of spin 3/2, the only consistent theory will have supersymmetry..
He graduated Summa cum laude in 2001, and won the prize for the best thesis. He joined the University of Cambridge for his doctoral studies to study Part III of the Mathematical Tripos, working under director of studies Fernando Quevedo. He moved to Leiden University for his PhD, working with Ana Achúcarro on cosmic strings. His thesis considered Fayet-Iliopoulos terms and BPS cosmic strings in N = 2 supergravity. He served as a visiting fellow at Stanford University, working with Renata Kallosh. He joined KU Leuven as a Marie Curie Fellow, working with Antoine Van Proeyen and Frederic Denef on string theory and supergravity. He spoke at the Marie Curie Fellow Training Workshop.
Career
Esole works on F-theory, a branch of string theory at the interface with mathematics. He joined the Department of Physics at Harvard University as a postdoctoral research fellow in 2008. He moved to the Department of Mathematics in 2013, and was appointed Benjamin Peirce Fellow working with the Fields Medal winner Shing-Tung Yau. He worked on SU(5) models and opened the door to the systematic use of crepant resolutions of singularities in F-theory. He also studied D-brane deconstructions in IIB Orientifolds. He delivered a keynote at the Conference for African American Research in Mathematical Sciences. He was a member of the Center for the Fundamental Law of Nature. Esole was appointed as an assistant professor at Northeastern University in 2016. He was awarded a National Science Foundation grant to work on Elliptic Fibrations and String Theory in 2014. This allowed him to investigate F-theory and elliptic fibrations.
In 2017 Esole was named a NextEinstein Forum Fellow. This award celebrates the best young African scientists. He is interested in African education and supports the Lumumba Lab. He is part of the Malaika school, an initiative to teach girls in Kalebuka.
In 2022, Esole was listed as one of the ten members of the newly created African Advisory Board of the French National Center for Scientific Research (CNRS). Antoine Petit, the General Director of CNRS described the need for this new advisory board as follows: "Scientific cooperation between Afric |
https://en.wikipedia.org/wiki/Statistics%20and%20Census%20Service%20%28Macau%29 | The Statistics and Census Service (, DSEC; ) is the statistics agency of Macau. Its head office is on the 17th floor of Dynasty Plaza (皇朝廣場) in Sé (Cathedral Parish).
References
External links
Statistics and Census Service
Statistics and Census Service
Statistics and Census Service (Traditional)
Statistics and Census Service (Simplified)
Government of Macau
Macau |
https://en.wikipedia.org/wiki/Scandinavian%20Journal%20of%20Statistics | The Scandinavian Journal of Statistics is a quarterly peer-reviewed scientific journal of statistics. It was established in 1974 by four Scandinavian statistical learned societies. It is published by John Wiley & Sons and the editors-in-chief are Sangita Kulathinal (University of Helsinki), Jaakko Peltonen (University of Tampere) and Mikko J. Sillanpää (University of Oulu). According to the Journal Citation Reports, the journal has a 2021 impact factor of 1.040, ranking it 97th out of 125 journals in the category "Statistics & Probability".
References
External links
Wiley (publisher) academic journals
Quarterly journals
Statistics journals
English-language journals
Academic journals established in 1974 |
https://en.wikipedia.org/wiki/Julie%20Bergner | Julia Elizabeth Bergner is a mathematician specializing in algebraic topology, homotopy theory, and higher category theory. She is a professor of mathematics at the University of Virginia.
Education and career
Bergner graduated from Gonzaga University in 2000. She completed her Ph.D. at the University of Notre Dame in 2005. Her dissertation, Three Models for the Homotopy Theory of Homotopy Theories, was supervised by William Gerard Dwyer.
After postdoctoral research at Kansas State University, she joined the mathematics faculty at the University of California, Riverside in 2008. She moved from there to the University of Virginia in 2016.
Selected publications
Bergner is the author of the book The homotopy theory of (,1)-categories (London Mathematical Society Student Texts 90, Cambridge University Press, 2018).
Her other publications include:
Recognition
In 2018, the Association for Women in Mathematics gave Bergner the Ruth I. Michler Memorial Prize for her research on algebraic -theory.
References
External links
Home page
Year of birth missing (living people)
Living people
21st-century American mathematicians
American women mathematicians
Gonzaga University alumni
University of Notre Dame alumni
University of California, Riverside faculty
University of Virginia faculty
21st-century women mathematicians
21st-century American women |
https://en.wikipedia.org/wiki/Judith%20R.%20Goodstein | Judith Ronnie Goodstein (née Koral, born 1939) is an American historian of science, historian of mathematics, archivist, and book author. She worked for many years at the California Institute of Technology (Caltech), where she is University Archivist Emeritus.
Education and career
Goodstein was born on July 8, 1939, in Brooklyn;
both of her parents were college-educated children of Jewish immigrants from eastern Europe, and worked for the city.
She went to Erasmus Hall High School in Brooklyn,
but left at age 16 to escape its cliquish and competitive atmosphere,
and graduated from Brooklyn College in 1960
with a bachelor's degree in history.
Her interest in the history of science began at this time, with a graduate-level class she took from Carl Benjamin Boyer, as the only undergraduate in the class. Another faculty mentor at Brooklyn College was John Hope Franklin.
She became a junior high school teacher in Borough Park, Brooklyn before
applying with her fiancé, David Goodstein, to graduate schools (she in history, he in physics). On the suggestion of Boyer, she went to the University of Washington, where Harry Woolf was at the time. She was not admitted with financial aid, but Woolf hired her as an assistant. However, he soon moved to another university.
She worked with a succession of other professors there, including one who promised to block her graduation because she refused to babysit his children,
and successfully defended her Ph.D. in 1968. Her dissertation, Chemical Theory and the Nature of Matter, concerned chemist Humphry Davy, a topic suggested by Satish Kapoor, who also left Washington before she could finish. Her eventual doctoral advisor was Thomas Hankins.
She and her husband moved to Caltech in 1966, where she worked as a teacher again while completing her dissertation, with a year in Rome for her husband's postdoctorate.
She was hired as Institute Archivist by Daniel Kevles in 1968,
also teaching the history of science at California State University, Dominguez Hills from 1969 to 1973 and later at the University of California, Los Angeles.
She became University Archivist in 1995, and retired as University Archivist Emeritus in 2009. She has also worked at Caltech as a faculty associate and lecturer, and was registrar from 1989 to 2003.
Writing
Goodstein is the author of:
Guide to the Robert Andrews Millikan Collection at the California Institute of Technology (with Albert F. Gunns, American Institute of Physics, 1975)
The Frank J. Malina Collection at the California Institute of Technology: Guide to a Microfiche Edition (with Carol H. Bugé, California Institute of Technology, 1986)
Millikan's School: A History of the California Institute of Technology (W.W. Norton, 1991)
Feynman's Lost Lecture: The Motion of the Planets around the Sun (with David Goodstein, W.W. Norton, 1996)
The Volterra Chronicles: The Life and Times of an Extraordinary Mathematician, 1860–1940 (American Mathematical Society and London Mathematical Society |
https://en.wikipedia.org/wiki/Kevin%20Dawson%20%28footballer%2C%20born%201992%29 | Kevin Emiliano Dawson Blanco (born 8 February 1992) is a Uruguayan professional footballer who plays as goalkeeper for Plaza Colonia.
Career statistics
Honours
Peñarol
Uruguayan Primera División: 2017, 2018, 2021
Supercopa Uruguaya: 2018, 2022
Individual
Uruguayan Primera División Player of the Year: 2018
Uruguayan Primera División Team of the Year: 2018
References
External links
1992 births
Living people
People from Colonia del Sacramento
Footballers from Colonia Department
Men's association football goalkeepers
Uruguayan men's footballers
Uruguayan people of British descent
Uruguayan Primera División players
Uruguayan Segunda División players
Categoría Primera A players
Club Plaza Colonia de Deportes players
Peñarol players
Deportivo Cali footballers
Uruguayan expatriate men's footballers
Uruguayan expatriate sportspeople in Colombia
Expatriate men's footballers in Colombia |
https://en.wikipedia.org/wiki/Alpha%20Data | Alpha Data (formerly, but commonly known as BuzzAngle Music) is a music analytics firm which provides statistics for the music industry, including record sales and music streaming. BuzzAngle partnered with Rolling Stone to provide information for the magazine's music charts.
BuzzAngle was founded in 2013 by Border City Media. It uses big data collected from platforms used by people to listen to music. The website shows total music consumption including album sales, song sales, streaming history, and social media analytics. The data it collects comes from retailers, record stores, radio stations, and music venues. In 2018, BuzzAngle received an investment from Penske Media Corporation, the parent company of Rolling Stone. The following year it announced its partnership with Rolling Stone to provide data for the magazine's music charts.
References
External links
Official Website
Major Movez
Companies established in 2013
Penske Media Corporation |
https://en.wikipedia.org/wiki/Elena%20Marchisotto | Elena Anne Corie Marchisotto (born 1945) is a mathematician, mathematics educator, and historian of mathematics. She is a professor emeritus of mathematics at California State University, Northridge.
Education and career
Marchisotto graduated from Manhattanville College of the Sacred Heart in 1967 and earned a master's degree from California State University, Northridge in 1977. She completed a Ph.D. in 1990 from New York University. Her dissertation, The contributions of Mario Pieri to mathematics and mathematics education, was jointly supervised by Kenneth P. Goldberg and Anneli Cahn Lax.
She joined the California State University, Northridge faculty in 1983..
At Northridge, she also created and directed a developmental mathematics program, designed to train graduate students as teachers. This developmental program earned the Noel Levitz Center National Conference on Student Retention, New Orleans: Award for Outstanding Mathematics Program in 1993
Writing
In 1995, Marchisotto became a co-author of a study edition of The Mathematical Experience (a book originally published in 1981 by Reuben Hersh and Philip J. Davis), after having read the book and used it for her teaching from the early 1980s.. The second edition of the book was published in 2012 and includes Epilogues written by the authors •
She also co-authored an English translation of a history of mathematics by Umberto Bottazzini, Hilbert's Flute: The History of Modern Mathematics (with Bottazzini and Patricia Miller, Springer, 2016).
Marchisotto has written extensively about Mario Pieri:
"H.S.M. Coxeter’s Theory of Accessibility: From Mario Pieri to Marvin Greenberg", (2022) in Results in Mathematics Special issue in memory of Heinrich Wefelscheid 77:187
The Legacy of Mario Pieri on the Foundations and Philosophy of Mathematics, with F. Rodriguez-Consuegra & J. T. Smith, (Birkhäuser, 2021)
"Mario Pieri’s View of the Symbiotic Relationship between the Foundations and the Teaching of Elementary Geometry in the Context of the Early Twentieth Century Proposals for Pedagogical Reform", (2021) in Philosophia Scientiae 25(1), with A. Millán Gascia.
"Mario Pieri: the man, the mathematician, the teacher", (2010) in La Matematica nella Società e nella Cultura Rivista dell'Unione Matematica Italiana 3(3).
The Legacy of Mario Pieri in geometry and arithmetic, with J. T. Smith, (Birkhäuser, 2007)
Marchisotto's philosophy of teaching can be described as "humanistic" Her publications on this philosophy include:
"The Human Face of Mathematics: Reuben Hersh (1927-2020) In Memoriam." In Journal of Humanistic Mathematics 10(2) (July 2020)/ https://scholarship.claremont.edu/jhm/vol10/iss2/25
"A case study in Hersh’s Philosophy: Bézout’s Theorem." In Humanizing Mathematics and its Philosophy: Essays Celebrating the 90th Birthday of Reuben Hersh edited by Bharath Sriraman (Birkhäuser, 2017)
"Teaching mathematics humanistically: A new look at an old friend'. In Essays in Humanistic Mathem |
https://en.wikipedia.org/wiki/Rage%20room | A rage room, also known as a smash room or anger room, is a room where people can vent their rage by destroying objects. Firms offer access to such rooms on a rental basis. Statistics show that most customers are women.
Rage rooms may include living room and kitchen replicas with furnishings and items such as televisions and desks. Clients may be allowed to bring their own possessions to destroy.
History
The first rage rooms were likely in Japan in 2008 or earlier. The concept has spread to other countries, such as Serbia, the United Kingdom, and Argentina. As of 2018, hundreds of rage rooms operated in cities across the United States.
Independently, Donna Alexander created an early rage room in her Dallas garage in 2008, using items abandoned on the street. She opened the Anger Room, a 1,000-square-foot Dallas warehouse in 2011. Alexander stated that she created the facility to combat violence by giving people a safe place to take out their aggressions.
In February 2021, Italian artist Colline di tristezza proposed to set up rage rooms and crying rooms in hospitals, nursing homes, and schools to decrease the risk of staff burnout.
Effectiveness
One psychologist told a news organization that while "therapy is very beneficial all the way around", destroying objects was a temporary "stopgap" at best. For the most part, rage rooms are better at stress relief than at dealing with actual anger or rage. Some of the stress-relieving effect may be due to the physical exercise involved.
Safety
While rage rooms provide a relatively safe place for destroying things, risks include slipping and falling, flying debris from items being smashed, and emotional injury. Because of this, establishments require participants to wear safety gear such as eye protection, coveralls, and gloves, and to sign a liability waiver.
Depending upon the objects being destroyed, participants and especially the workers, who have all-day, every-day exposure to both airborne particles and contact from cleaning up the mess afterwards, may be exposed to toxic chemicals, such as the mercury in old electronics and lead in leaded glass. High-risk items include fluorescent light bulbs, batteries, and CRT screens (such as found in older televisions).
To reduce the risk of lawsuits and to satisfy insurance requirements, participants usually have to be at least 18 years old (18 if using the room alone, or 13 if accompanied by an adult); pregnant women, intoxicated, injured or sick persons are usually excluded.
References
Rage (emotion)
Recreation
Leisure activities |
https://en.wikipedia.org/wiki/Lisl%20Gaal | (Ilse) Lisl Novak Gaal (born January 17, 1924) is an Austrian-born American mathematician known for her contributions to set theory and Galois theory. She was the first woman to hold a tenure-track position in mathematics at Cornell University, and is an associate professor emeritus at the University of Minnesota.
Contributions
Gaal's dissertation work was in the foundations of mathematics. It proved that two different systems for set theory that had previously been proposed as foundational were equiconsistent: either both are valid or both lead to contradictions. These two systems were Zermelo set theory and Von Neumann set theory. They differed from each other in that von Neumann had added to Zermelo's theory a notion of classes, collections of mathematical objects that are defined by some property but do not necessarily form a set. (Often, intuitively, proper classes are "too big" to form sets; for instance, the collection of all sets cannot itself be a set, by Russell's paradox, but it can be a class.) Gaal's work showed that introducing this extra notion of a class is a safe step, one that does not introduce any new inconsistencies into the system.
Gaal is also the author of two books:
Classical Galois Theory with Examples (Markham Publishing, 1971; third ed., Chelsea Publishing, 1979; reprinted 1998)
A Mathematical Gallery (American Mathematical Society, 2017)
Early life and education
Gaal was born in Vienna on January 17, 1924, the daughter of a gynecologist and the sister of Gertrude M. Novak, who became a physician in Chicago. She and her two sisters escaped Nazi Germany, and moved with their family to New York City.
After graduating from Hunter College with an A.B. in 1944, Gaal earned a doctorate in 1948 from Harvard University, through Radcliffe College. Her dissertation, On the Consistency of Goedel's Axioms for Class and Set Theory Relative to a Weaker Set of Axioms, was jointly supervised by Lynn Harold Loomis and Willard Van Orman Quine.
Later career
Gaal lived in Berkeley, California in 1950–1951. She and her husband, mathematician Steven Gaal, both moved to Cornell University, beginning as instructors in 1953 but then in 1954 being promoted to assistant professors. This step was the first time the Cornell mathematics department had offered a tenure-track position to a woman. She also became the first woman at Cornell to advise the doctorate of a mathematics student, Angelo Margaris.
The Gaals moved again in 1957, to the University of Minnesota, where Lisl Gaal is an associate professor emeritus.
In later life, Gaal became a lithographer, making prints that combined mathematical themes with Minnesota scenes.
Her book A Mathematical Gallery collects some of her mathematical illustrations.
References
1924 births
Living people
Austrian mathematicians
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
Set theorists
Hunter College alumni
Radcliffe College alumni
Cornell Uni |
https://en.wikipedia.org/wiki/Sarah%20Glaz | Sarah Glaz (born 1947) is a mathematician and mathematical poet. Her research specialty is commutative algebra; she is a professor emeritus of mathematics at the University of Connecticut.
Education and career
Glaz was born in Bucharest, Romania, and earned a bachelor's degree in 1972 at Tel Aviv University, Israel. She came to the US for her graduate education in mathematics, completing a Ph.D. in 1977 at Rutgers University. Her dissertation, Finiteness and Differential Properties of Ideals, was supervised by Wolmer Vasconcelos.
After postdoctoral research at Case Western Reserve University, Glaz became an assistant professor at Wesleyan University in 1980. She moved to George Mason University in 1988, and again to the University of Connecticut in 1989. She retired as a professor emeritus in 2017.
Books
Glaz is the author of a book on commutative algebra, Commutative Coherent Rings (Lecture Notes in Mathematics 1371, Springer, 1989). She is an editor of several other books on commutative algebra.
In 2017 she published a book of her mathematical poetry named after a poem by Pablo Neruda, Ode to Numbers (Antrim House, 2017). Her book was a finalist for the 2018 Next Generation Indie Book Awards.
She is also the editor of an anthology of mathematical poems, Strange Attractors: Poems of Love and Mathematics (with JoAnne Growney, AK Peters/CRC Press, 2008),
and has published translations of poems into English from
Romanian, Portuguese, German, Sanskrit, Sumerian, and Russian.
References
External links
Home page
1947 births
Living people
20th-century American mathematicians
21st-century American mathematicians
American poets
American women poets
Israeli mathematicians
Israeli women poets
Romanian mathematicians
Romanian poets
Tel Aviv University alumni
Rutgers University alumni
Wesleyan University faculty
George Mason University faculty
University of Connecticut faculty
Scientists from Bucharest
Algebraists
20th-century American poets
21st-century American poets
20th-century Israeli poets
21st-century Israeli poets
20th-century American women writers
American women academics
21st-century American women writers |
https://en.wikipedia.org/wiki/Annual%20Review%20of%20Statistics%20and%20Its%20Application | The Annual Review of Statistics and Its Application is a peer-reviewed scientific journal published by Annual Reviews. It releases an annual volume of review articles relevant to the field of statistics. It has been in publication since 2014. The editor is Nancy Reid. As of 2023, Annual Review of Statistics and Its Application is being published as open access, under the Subscribe to Open model. As of 2023, Journal Citation Reports gives the journal a 2022 impact factor of 7.9, ranking it first of 125 journal titles in the category "Statistics and Probability" and second of 107 titles in "Mathematics, Interdisciplinary Applications".
History
The Annual Review of Statistics and Its Application was first published in 2014 by nonprofit publisher Annual Reviews. Its founding editor was Stephen E. Fienberg. Following Fienberg's death in 2016, associate editor Nancy Reid completed the 2017 volume, of which Feinberg is credited as editor. Reid is credited as editor beginning in 2018. Though the journal was initially published in print, as of 2021 it is only published electronically. Some of its articles are available online prior to the volume publication date.
Scope and indexing
The Annual Review of Statistics and Its Application publishes review articles about methodological advances in statistics and the use of computational tools that make the advances possible. It is abstracted and indexed in Scopus, Science Citation Index Expanded, and Inspec.
References
Statistics and Its Application
Annual journals
Academic journals established in 2014
English-language journals
Statistics journals |
https://en.wikipedia.org/wiki/Ellina%20Grigorieva | Ellina Grigorieva is a Russian mathematician and mathematics educator known for her books on mathematical problem solving. She is a professor in the Texas Woman's University Department of Mathematics and Computer Science, and an expert on control theory and its applications to the spread of disease.
Education and career
Grigorieva was born in Moscow, and educated at Moscow State University.
Books
Grigorieva's problem-solving books include:
Methods of Solving Number Theory Problems (Birkhäuser, 2018)
Methods of Solving Sequence and Series Problems (Birkhäuser, 2016)
Methods of Solving Nonstandard Problems (Birkhäuser, 2015)
Methods of Solving Complex Geometry Problems (Birkhäuser, 2013)
References
Year of birth missing (living people)
Living people
21st-century American mathematicians
Russian mathematicians
Russian women mathematicians
American women mathematicians
Moscow State University alumni
Texas Woman's University faculty
21st-century women mathematicians
21st-century American women |
https://en.wikipedia.org/wiki/List%20of%20East%20Bengal%20FC%20records%20and%20statistics | East Bengal is an Indian professional football club based in Kolkata, West Bengal, which competes in Indian Super League, the top tier of Indian football. The club was formed when the vice-president of Jorabagan, Suresh Chandra Chaudhuri, resigned when Jorabagan sent out their starting eleven but with the notable exclusion of defender Sailesh Bose who was dropped from the squad for reasons not disclosed when they were about to face Mohun Bagan in the Cooch Behar Cup semi-final on 28 July 1920. He along with Raja Manmatha Nath Chaudhuri, Ramesh Chandra Sen and Aurobinda Ghosh, formed East Bengal, in Jorabagan home of Suresh Chandra on 1 August 1920; 99 years ago. East Bengal started playing in the Calcutta Football League 2nd division from 1921 and in 1925 they qualified for the first division for the first time and since then they have won numerous titles in Indian Football.
East Bengal joined the National Football League since its inception in 1996 and is the only club to play all seasons till date, even after its name changed to I-League in 2007. East Bengal have won the National Football League thrice: 2000–01, 2002–03 and 2003–04, and became runners-up 7 times, the most of any Indian clubs. Among other trophies, East Bengal have won the Calcutta Football League 39 times, IFA Shield 29 times, Federation Cup 8 times and the Durand Cup 16 times.
History
On 28 July 1920, Mohun Bagan was scheduled to play Jorabagan in the Cooch Behar Cup. Jorabagan sent out their starting eleven but with the notable exclusion of defender Sailesh Bose who was dropped from the squad for reasons not disclosed. The vice-president of Jorabagan, Suresh Chandra Chaudhuri, asked for Bose to be included in the line-up but the club coaches did not listen. Chaudhuri left the club due to this and, along with Raja Manmatha Nath Chaudhuri, Ramesh Chandra Sen and Aurobinda Ghosh, formed East Bengal on 1 August 1920, named after the region they hailed from.
East Bengal Club played their first match in the 1920 Hercules Cup, which was a 7-a-side tournament that they won. After the tournament, the club became affiliated with the Indian Football Association. They won their first-ever full tournament in 1921, lifting the Khogendra Shield. The red and gold brigade qualified for the Calcutta Football League 1st division in 1925. They won their first 1st title in 1942. East Bengal won their first IFA Shield in 1943. In 1945, East Bengal won their first double of winning both Calcutta Football League and IFA Shield. From 1949-51, East Bengal became the first team to make a hat-trick of wins in IFA Shield. In 1970, the club defeated Asian giants PAS Tehran to win the IFA Shield trophy. In 1972, East Bengal won Calcutta Football League, IFA Shield, Durand Cup and Rovers Cup in a single season, thus becoming the first team to do so. In 1972, East Bengal also made a record of being the first and till date only Indian team winning the Calcutta Football League without conceding a single go |
https://en.wikipedia.org/wiki/Forder%20Lectureship | The Forder Lectureship is awarded by the London Mathematical Society to a research mathematician from the United Kingdom who has made an eminent contribution to the field of mathematics and who can also speak effectively at a more popular level. The lectureship is named for Professor H.G. Forder, formerly of the University of Auckland, and a benefactor of the London Mathematical Society. The lectureship was funded in 1986 by the London Mathematical Society and the New Zealand Mathematical Society, first begain in 1987, and is normally awarded every two years. Recipients of the lectureship will give a four- to six-week lecturing tour of most New Zealand universities.
Recipients
The recipients of the Forder Lectureship are:
1987: E.C. Zeeman
1989: Michael F. Atiyah
1991: Peter Whittle
1993: Roger Penrose
1995: E.G. Rees
1997: Ian Stewart
1999: Michael Berry
2001: Tom Körner
2003: Caroline Series
2005: Martin Bridson
2008: Peter Cameron
2010: Ben Green
2012: Geoffrey Grimmett
2015: Endre Süli
2016: Julia Gog
See also
Naylor Prize and Lectureship
List of mathematics awards
References
Awards of the London Mathematical Society
Biennial events
University and college lecture series
Higher education in New Zealand
New Zealand–United Kingdom relations
1987 establishments in England
1987 establishments in New Zealand |
https://en.wikipedia.org/wiki/MAA%20Certificate%20of%20Merit | The MAA Certificate of Merit is awarded at irregular intervals by the Mathematical Association of America for special work or service to mathematics or the broader mathematics community.
Recipients
The recipients of the MAA Certificate of Merit are:
1977: Henry M. Cox
1978: Samuel L. Greitzer
1978: Murray S. Klamkin
1978: Nura D. Turner
1983: Hope Daly
1986: Raoul Hailpern
1988: Walter E. Mientka
1994: I. Edward Block
2021: Mary W. Gray
See also
List of mathematics awards
References
Awards of the Mathematical Association of America |
https://en.wikipedia.org/wiki/Combinatorial%20matrix%20theory | Combinatorial matrix theory is a branch of linear algebra and combinatorics that studies matrices in terms of the patterns of nonzeros and of positive and negative values in their coefficients.
Concepts and topics studied within combinatorial matrix theory include:
(0,1)-matrix, a matrix whose coefficients are all 0 or 1
Permutation matrix, a (0,1)-matrix with exactly one nonzero in each row and each column
The Gale–Ryser theorem, on the existence of (0,1)-matrices with given row and column sums
Hadamard matrix, a square matrix of 1 and –1 coefficients with each pair of rows having matching coefficients in exactly half of their columns
Alternating sign matrix, a matrix of 0, 1, and –1 coefficients with the nonzeros in each row or column alternating between 1 and –1 and summing to 1
Sparse matrix, a matrix with few nonzero elements, and sparse matrices of special form such as diagonal matrices and band matrices
Sylvester's law of inertia, on the invariance of the number of negative diagonal elements of a matrix under changes of basis
Researchers in combinatorial matrix theory include Richard A. Brualdi and Pauline van den Driessche.
References
Linear algebra
Combinatorics |
https://en.wikipedia.org/wiki/Maia%20Martcheva | Maia Nenkova Martcheva-Drashanska is a Bulgarian-American mathematical biologist known for her books on population dynamics and epidemiology. She is a professor of mathematics at the University of Florida, where she is also affiliated with the department of biology.
Education and career
Martcheva earned a master's degree in mathematics from the University of Sofia in 1988.
She completed her Ph.D. in applied mathematics in 1998 at Purdue University. Her dissertation, in population dynamics, was An Age-Structured Two-Sex Population Model, and was supervised by Fabio Augusto Milner.
After postdoctoral research at the University of Minnesota, she became an instructor at the Brooklyn Polytechnic Institute in 1999. After taking several additional visiting faculty positions, she moved to the University of Florida as an assistant professor in 2003.
Books
Martcheva is the author of the book An Introduction to Mathematical Epidemiology (Texts in Applied Mathematics 61, Springer, 2016).
With Mimmo Ianelli and Fabio A. Milner, she is also the author of Gender-Structured Population Modeling: Mathematical Methods, Numerics, and Simulations (Frontiers in Applied Mathematics, 31, Society for Industrial and Applied Mathematics, 2005).
References
External links
Home page
Year of birth missing (living people)
Living people
20th-century American mathematicians
21st-century American mathematicians
20th-century Bulgarian mathematicians
21st-century Bulgarian mathematicians
Bulgarian women mathematicians
American women mathematicians
Purdue University alumni
University of Florida faculty
20th-century women mathematicians
21st-century women mathematicians
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/Terrique%20Anderson | Terrique Anderson (born 11 November 1998) is an English professional footballer. He is currently a free agent.
Career statistics
References
English men's footballers
1998 births
Living people
Men's association football midfielders
Charlton Athletic F.C. players
Place of birth missing (living people) |
https://en.wikipedia.org/wiki/Lamination%20%28disambiguation%29 | Lamination is a manufacturing process.
Lamination may also refer to:
Mathematics
Lamination (topology), a partition of a closed subset of the surface into smooth curves.
Geology
Lamination (geology), a small-scale sequence of fine layers (laminae; singular: lamina) that occurs in sedimentary rocks
Food
Lamination (food), a method of preparing dough by separating layers of it with butter. |
https://en.wikipedia.org/wiki/Anne%20Bosworth%20Focke | Anne Lucy Bosworth Focke (September 29, 1868 – May 15, 1907) was an American mathematician who became the first mathematics professor at what is now the University of Rhode Island, and later became the first female doctoral student of David Hilbert.
Early life
Bosworth was originally from Woonsocket, Rhode Island. When she was four, her father and a younger sister died, and she grew up in a family of women: her mother (a librarian), her grandmother (also widowed), and her aunt.
Undergraduate education and academic work
Bosworth attended Woonsocket High School, and graduated from Wellesley College in 1890. At Wellesley, her classmates included mathematicians Grace Andrews and Clara Latimer Bacon.
She worked for two years as a teacher at Amesbury High School in Massachusetts, and was appointed as an instructor of mathematics at the Rhode Island College of Agriculture and Mechanic Arts (later to become the University of Rhode Island) in early 1892, the first year the school became a college. One month later she became its professor of mathematics and physics.
Graduate education
While continuing to work at the college, Bosworth earned a master's degree at the University of Chicago from 1894 through 1896 through summer study with E. H. Moore and Oskar Bolza.
In 1898, taking a leave from her work for the college, Bosworth traveled to the University of Göttingen in Germany, where she worked under the supervision of David Hilbert. She defended her dissertation there in 1899, and was awarded the Ph.D. in 1900. Her dissertation was Begründung einer vom Parallelenaxiome unabhängigen Streckenrechnung, and concerned non-Euclidean geometry. She was David Hilbert's first female doctoral student, part of a group that later included Nadeschda Gernet (1902), Vera Myller (1906), Margarete Kahn (1909), Klara Löbenstein (1910), and Eva Koehler (1912).
Later life
In 1901 Bosworth married Theodore Moses Focke, an American civil engineer, materials scientist, and applied mathematician whom she had met in Göttingen. Soon afterwards she followed her husband to Cleveland, Ohio, leaving her academic work (except for assisting her husband in grading) to raise a family of three children. She caught pneumonia in 1907 and died of it.
References
1868 births
1907 deaths
People from Woonsocket, Rhode Island
19th-century American mathematicians
20th-century American mathematicians
American women mathematicians
Wellesley College alumni
University of Chicago alumni
University of Göttingen alumni
University of Rhode Island faculty
20th-century women mathematicians
20th-century American women
19th-century American women educators
19th-century American educators |
https://en.wikipedia.org/wiki/Aryna%20Sabalenka%20career%20statistics | This is a list of the main career statistics of professional Belarusian tennis player Aryna Sabalenka. She has won thirteen singles titles and six doubles titles on the WTA Tour. Her most significant titles are the 2023 Australian Open in singles, and the 2019 US Open and 2021 Australian Open in doubles, won alongside Elise Mertens. She also has won two WTA 1000 titles in doubles at the Indian Wells Open and Miami Open in 2019.
In singles, she has won five WTA 1000 tournaments at the Wuhan Open in 2018 and 2019, at the Qatar Open in 2020, and at the Madrid Open in 2021 and 2023. Some of her other results include, semifinal of the 2018 Cincinnati Open in singles and final of the 2019 Wuhan Open in doubles. In 2019, she won the WTA Elite Trophy in singles, defeating Kiki Bertens in the final. Playing for Belarus in Fed Cup, Sabalenka reached the final in 2017, but the team lost to United States. Two-years later, Belarus reached the semifinals, also with Sabalenka in their team. She achieved World No. 1 in both singles and doubles, being the current World No. 1 in singles (since 11 September 2023) while in doubles she reached No. 1 on 21 February 2021 and held it for a total of 6 weeks.
Performance timelines
Only main-draw results in WTA Tour, Grand Slam tournaments, Billie Jean King Cup, United Cup, Hopman Cup and Olympic Games are included in win–loss records.
Singles
Current through the 2023 US Open.
Doubles
Current after the 2023 Adelaide International 1.
Significant finals
Grand Slam finals
Singles: 2 (1 title, 1 runner-up)
Doubles: 2 (2 titles)
WTA Championships finals
Singles: 1 (runner-up)
WTA 1000 finals
Singles: 6 (5 titles, 1 runner-up)
Doubles: 3 (2 titles, 1 runner-up)
WTA Elite Trophy
Singles: 1 (title)
WTA career finals
Singles: 24 (13 titles, 11 runner–ups)
Doubles: 8 (6 titles, 2 runner–ups)
WTA Challenger finals
Singles: 1 (1 title)
Doubles: 1 (1 title)
ITF Circuit finals
Sabalenka debuted at the ITF Women's World Tennis Tour in 2012 at the $25K event in her hometown Minsk. In singles, she has been in eight finals and won five of them, while in doubles, she has been in two finals and won one of them. Her biggest titles on the ITF Circuit were two $50K events in Tianjin and Toyota, both achieved in 2016 in singles.
Singles: 8 (5 titles, 3 runner-ups)
Doubles: 2 (1 title, 1 runner-up)
Fed Cup/Billie Jean King Cup participation
Singles: 16 (10–6)
Doubles: 5 (1–4)
WTA Tour career earnings
Current after the 2022 season.
Career Grand Slam statistics
Grand Slam tournament seedings
The tournaments won by Sabalenka are in boldface, and advanced into finals by Sabalenka are in italics.
Singles
Doubles
Best Grand Slam results details
Grand Slam winners are in boldface, and runner–ups are in italics.
Singles
Record against other players
No. 1 wins
Record against top 10 players
She has a record against players who were, at the time the match was played, ranked in the top 10.
Longest winning streaks
|
https://en.wikipedia.org/wiki/Cassius%20Ionescu-Tulcea | Cassius Tocqueville Ionescu Tulcea (; October 14, 1923 – March 6, 2021) was a Romanian-American mathematician, specializing in probability theory, statistics and mathematical analysis.
Ionescu Tulcea was born in October 1923 in Bucharest. He received his diploma from the University of Bucharest in 1946; there he was an assistant professor from 1946 to 1950, a lecturer from 1950 to 1951, and an associate professor from 1952 to 1957. Additionally, from 1949 to 1957 he was a researcher at the Institute of Mathematics of the Romanian Academy. In 1957 he moved to the United States with his wife Alexandra Ionescu Tulcea (née Bagdasar), who had been his student. From 1957 to 1961 he worked as a research associate and visiting lecturer at Yale University. He received his doctorate from Yale in 1959 under the supervision of Einar Hille with thesis Semi-groups of Operators. Cassius Ionescu Tulcea was from 1959 to 1961 a visiting professor at Yale University, from 1961 to 1964 an associate professor at the University of Pennsylvania, and from 1964 to 1966 a full professor at the University of Illinois at Urbana–Champaign. He became in 1966 a full professor at Northwestern University and retired from there as professor emeritus.
His marriage to Alexandra Ionescu Tulcea lasted from 1956 to 1969 when they divorced. During their marriage, the two mathematicians wrote a number of papers together, as well as a well-regarded research monograph on lifting theory. John von Neumann initiated lifting theory in functional analysis with applications in probability theory. The Ionescu-Tulcea theorem, an important existence theorem for time-discrete stochastic processes, is named after Cassius Ionescu Tulcea (1949). He also did research on mathematical game theory and mathematical economics. He co-authored a book on casino gambling and several textbooks on mathematics; he also wrote a 1981 book on casino dice games and gambling systems and a 1982 book on casino blackjack.
In 1957 he was awarded the Prize of the Romanian Academy of Sciences. His doctoral students include George Maltese and Robert Langlands.
He turned 90 in October 2013 and died in Chicago, Illinois in March 2021, at the age of 97.
Selected publications
A book on casino blackjack, Van Nostrand 1982
with Virginia L. Graham: A book on casino gambling: written by a mathematician and a computer expert, 1976, 2nd edition, Van Nostrand 1978
A book on casino craps, other dice games & gambling systems, Van Nostrand 1981
with Robert G. Bartle: Calculus, Scott Foresman 1968
with Robert G. Bartle: An introduction to Calculus, Scott Foresman 1968
with Robert G. Bartle: Honors Calculus, Scott Foresman 1970
with William W. Fairchild: Topology, Philadelphia: Saunders 1971
with William W. Fairchild: Sets, Saunders 1970
with Alexandra Ionescu Tulcea: Topics in the Theory of Lifting, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 48, Springer-Verlag New York Inc., New York 1969, , .
References
1923 b |
https://en.wikipedia.org/wiki/Mary%20Esther%20Trueblood | Mary Esther Trueblood Paine (May 6, 1872 – November 19, 1939) was an American mathematician and sociologist who taught mathematics at Mount Holyoke College and the University of California, Berkeley.
Early life and education
Mary Trueblood was born on May 6, 1872, near Richmond, Indiana, the daughter of Rev. Alpheus Trueblood of the Society of Friends, and the niece of pacifist Benjamin Franklin Trueblood. She did her undergraduate studies at Earlham College in Richmond, graduating with a bachelor's degree in 1893, and became a mathematics and Latin teacher there. Her cousin, Thomas Trueblood, taught at the University of Michigan, and she went there for graduate study in mathematics and astronomy, earning a master's degree in 1896.
Sociological work
Trueblood became a fellow at the Boston School of Housekeeping, and was hired by the Women's Educational and Industrial Union to survey job satisfaction among working women in Massachusetts. Her research found that domestic servants were much less happy than workers in factories, restaurants, and shops, in part because of their long working hours and inability to control their free time. She suggested that better education would improve their happiness and job performance.
Göttingen and Mount Holyoke
After this she studied for a year with Felix Klein at the University of Göttingen, in 1900–1901, as a fellow of the Association of Collegiate Alumnae. Returning to the US, she became an instructor at Mount Holyoke College. While there, she published an article John Dee and his Fruitful Preface, in which she determined that as a young man Francis Bacon had met John Dee, and suggested that some of the discoveries attributed to Bacon were actually Dee's.
Marriage and later life
Trueblood married sculptor Robert Paine in 1910 and moved with him to California in 1913. She became an instructor in the extension division of the University of California, Berkeley in 1915, and by 1918 was head of mathematics in the extension program. There, she taught officers in training during World War I, and later "engineers from the airlines, the telephone company, and other fields, lawyers who wanted to keep their minds limber on calculus, insurance actuaries, chemists from the oil companies, sound experts, opticians, and many others".
She died in Berkeley, on November 19, 1939.
References
External links
John Dee and his Fruitful Preface, Popular Science Monthly, September 1910
1872 births
1939 deaths
19th-century American mathematicians
20th-century American mathematicians
American women mathematicians
Earlham College alumni
University of Michigan alumni
Mount Holyoke College faculty
University of California, Berkeley College of Letters and Science faculty
20th-century women mathematicians
20th-century American women
19th-century American women |
https://en.wikipedia.org/wiki/KK%20Crvena%20zvezda%20in%20the%20National%20Leagues | KK Crvena zvezda in the National Leagues shows records and statistics of Serbian men's professional basketball club Crvena zvezda in the domestic competition system. The Crvena zvezda squads have won 21 National League championships, including 10-in-a-row and current 6-in-a-row sequences. They have played three different National Leagues since 1945, including Yugoslav First Federal League (1945–1992), First League of Serbia and Montenegro (1992–2006) and Serbian League (2006 onward).
Overview
Note: Statistics are correct through the end of the 2020–21 season.
Competitions
Yugoslavia (1945–1991)
Standings (1945–1981)
Source: Crvena zvezda
Standings (1981–1991)
Source: Crvena zvezda
Positions by year
Serbia and Montenegro (1991–2006)
Standings
Source: Crvena zvezda
Positions by year
Serbia (2006–present)
Standings
Positions by year
Individual awards
Serbia and Montenegro
MVP
Most Improved Player
Young MVP
Serbia
Super League MVP
Finals MVP
See also
KK Crvena zvezda in the ABA League
References
League
Basketball League of Serbia accomplishments and records by team
First Federal Basketball League |
https://en.wikipedia.org/wiki/Thomas%20Schick | Thomas Schick (born 22 May 1969 in Alzey) is a German mathematician, specializing in algebraic topology and differential geometry.
Education and career
Schick studied mathematics and physics at the Johannes Gutenberg University Mainz, where he received in 1994 his Diplom in mathematics and in 1996 his PhD (Promotion) under the supervision of Wolfgang Lück with thesis Analysis on Manifolds of Bounded Geometry, Hodge-deRham Isomorphism and -Index Theorem. As a postdoc he was from 1996 to 1998 at the University of Münster and from 1998 to 2000 an assistant professor at Pennsylvania State University, where he worked with Nigel Higson and John Roe. Schick received his habilitation in 2000 from the University of Münster and is since 2001 a professor for pure mathematics at the University of Göttingen.
His research deals with topological invariants, e.g. -invariants and those invariants which result from the K-theory of operator algebras. Such invariants arise in generalizations of the Atiyah-Singer index theorem.
Schick, with Wolfgang Lück, introduced the strong Atiyah conjecture. Given a discrete group G, the Atiyah conjecture states that the -Betti numbers of a finite CW-complex that has fundamental group G are integers, provided that G is torsion-free; furthermore, in the general case, the -Betti numbers are rational numbers with denominators determined by the finite subgroups of G. In 2007 Schick, with Peter Linnell, proved a theorem which established conditions under which the Atiyah conjecture for a torsion-free group G implies the Atiyah conjecture for every finite extension of G; furthermore, they proved that the conditions are satisfied for a certain class of groups. In 2000 Schick proved the Atiyah conjecture for a large class of special cases. In 2007 he presented a method which proved the Baum-Connes conjecture for the full braid groups, and for other classes of groups which arise as (finite) extensions for which the Baum-Connes conjecture is known to be true.
In the 1990s there were proofs of many special cases of the Gromov-Lawson-Rosenberg conjecture concerning criteria for the existence of a metric with positive scalar curvature; in 1997 Schick published the first counterexample.
He is the coordinator of the Courant Research Center's Strukturen höherer Ordnung in der Mathematik (Structures of Higher Order in Mathematics) at the University of Göttingen. A major goal of the research center is the investigation of mathematical structures that could play a role in modern theoretical physics, especially string theory and quantum gravity.
He is the managing editor for Mathematische Annalen. In 2014 he was an invited speaker with talk The topology of scalar curvature at the International Congress of Mathematicians in Seoul. In 2016 he became a full member of the Göttingen Academy of Sciences and Humanities.
Selected publications
Topology of scalar curvature. Proc. ICM 2014, Seoul.
Operator algebras and topology. ICTP Summer School, Trie |
https://en.wikipedia.org/wiki/Ranking%20%28statistics%29 | In statistics, ranking is the data transformation in which numerical or ordinal values are replaced by their rank when the data are sorted. For example, the numerical data 3.4, 5.1, 2.6, 7.3 are observed, the ranks of these data items would be 2, 3, 1 and 4 respectively. For example, the ordinal data hot, cold, warm would be replaced by 3, 1, 2. In these examples, the ranks are assigned to values in ascending order. (In some other cases, descending ranks are used.) Ranks are related to the indexed list of order statistics, which consists of the original dataset rearranged into ascending order.
Use for testing
Some kinds of statistical tests employ calculations based on ranks. Examples include:
Friedman test
Kruskal–Wallis test
Rank products
Spearman's rank correlation coefficient
Wilcoxon rank-sum test
Wilcoxon signed-rank test
Van der Waerden test
The distribution of values in decreasing order of rank is often of interest when values vary widely in scale; this is the rank-size distribution (or rank-frequency distribution), for example for city sizes or word frequencies. These often follow a power law.
Some ranks can have non-integer values for tied data values. For example, when there is an even number of copies of the same data value, the above described fractional statistical rank of the tied data ends in ½.
Percentile rank is another type of statistical ranking.
Computation
Microsoft Excel provides two ranking functions, the function which assigns competition ranks ("1224") and the function which assigns fractional ranks ("1 2.5 2.5 4") as described above. The functions have the argument, which is by default is set to descending, i.e. the largest number will have a rank 1. This is generally uncommon for statistics where the ranking is usually in ascending order, where the smallest number has a rank 1.
Comparison of rankings
A rank correlation can be used to compare two rankings for the same set of objects.
For example, Spearman's rank correlation coefficient is useful to measure the statistical dependence between the rankings of athletes in two tournaments. And the Kendall rank correlation coefficient is another approach.
Alternatively, intersection/overlap-based approaches offer additional flexibility.
One example is the "Rank–rank hypergeometric overlap" approach, which is designed to compare ranking of the genes that are at the "top" of two ordered lists of differentially expressed genes.
A similar approach is taken by the "Rank Biased Overlap (RBO)", which also implements an adjustable probability, p, to customize the weight assigned at a desired depth of ranking.
These approaches have the advantages of addressing disjoint sets, sets of different sizes, and top-weightedness (taking into account the absolute ranking position, which may be ignored in standard non-weighted rank correlation approaches).
Definition
Let be a set of random variables. By sorting them into order, we have defined their order statistics
If |
https://en.wikipedia.org/wiki/Friedrich%20Bachmann | Friedrich Bachmann (born 11 February 1909 in Wernigerode, died 1 October 1982 in Kiel.) was a German mathematician who specialised in geometry and group theory.
Life
Bachmann was the son of a Lutheran minister Hans Bachmann. Bachmann came from an intellectual family, his paternal grandfather was the number theorist Paul Gustav Heinrich Bachmann. Bachmann took his early education at the Gymnasium in Münster. After attending the Gymnasium, he attended the University of Münster and the Humboldt University of Berlin and graduated in 1927. While there he was a member of the Münster Wingolfs.
In 1933, Bachmann was promoted to D.Phil with a thesis titled, Studies on the foundation of arithmetic with special reference to Dedekind, Frege, and Russell (). His advisor was Heinrich Scholz.
His doctoral students include Andreas Dress and Rolf Lingenberg.
Bachmann was married to a great-granddaughter of Otto von Bismarck, Alexandra von Bredow. They had a son together, Sebastian
Career
In 1935, Bachmann moved to the University of Marburg where assisted Kurt Reidemeister. Bachman habilitated at Marburg before becoming a Privatdozent in 1939.
From 1941 Bachmann became a private lecturer at University of Königsberg and from 1943 at the Humboldt University of Berlin.
On 1 March 1949, he was promoted to full professor (Ordentlicher Professor) at the University of Kiel. He became known for his work on geometry, especially for his axiomatic justification of elementary geometry with mirroring operations, previously begun by Johannes Hjelmslev and others.
After the war, Bachmann worked with the mathematician Karl-Heinrich Weise to rebuild the mathematics department at the University of Kiel.
From 1960 Bachman was editor of the series titled, Grundzüge der Mathematik für Lehrer an Gymnasien sowie für Mathematiker in Industrie und Wirtschaft (Basic features of mathematics for teachers at grammar schools as well as for mathematicians in industry and business).
In 1962–1963, Bachmann was elected Dean of the mathematics department of the Faculty of Philosophy of Kiel University.
Bachmann retired on 31 March 1977.
Bibliography
The following are articles, written or co-authored by Bachmann.
The following is books or monographs written by Bachmann
>
Literature
References
1909 births
1982 deaths
People from Wernigerode
20th-century German mathematicians
Group theorists |
https://en.wikipedia.org/wiki/Dora%20Musielak | Dora Elia Musielak is an aerospace engineer, historian of mathematics, and book author. She is an expert on high-speed airbreathing jet engines, and an adjunct professor of mechanical and aerospace engineering at the University of Texas at Arlington.
Education and career
Musielak earned a bachelor's degree in aeronautical engineering from the Instituto Politécnico Nacional in Mexico in 1978, the first woman to earn a degree in this field there. She continued with a master's degree at the University of Tennessee in 1980, and a Ph.D. at the University of Alabama in Huntsville in 1994.
Her employers have included Northrop Grumman, MSE Technology Applications, and ATK Allied Techsystems. She chaired the High Speed Air Breathing Propulsion Technical Committee of the American Institute of Aeronautics and Astronautics from 2014 to 2016.
Books
Musielak's 2004 self-published historical novel Sophie's Diary: A Mathematical Novel, based on the life of mathematician Sophie Germain, was republished in a second edition in 2012 by the Mathematical Association of America. Musielak also wrote a biography of Germain, Prime Mystery: The Life and Mathematics of Sophie Germain (2015), also republished in an expanded second edition as Sophie Germain: Revolutionary Mathematician by Springer in 2020.
Her other books include
Kuxan Suum: Path to the Center of the Universe (2010) and
Euler Celestial Analysis: Introduction to Spacecraft Orbit Mechanics (2018).
These remain self-published, through AuthorHouse.
References
21st-century American engineers
21st-century women engineers
American women engineers
Mexican women engineers
Women aerospace engineers
American aerospace engineers
American historians of mathematics
University of Texas at Arlington faculty
University of Tennessee alumni
University of Alabama in Huntsville alumni
Instituto Politécnico Nacional alumni
Year of birth missing (living people)
Living people |
https://en.wikipedia.org/wiki/Janet%20Beery | Janet Lynn Beery is an American mathematician and historian of mathematics who serves as a professor of mathematics and computer science at the University of Redlands. She also served as the editor-in-chief of mathematics history journal Convergence from 2009 to 2019, and has authored a book on the mathematics of Thomas Harriot.
Education and career
Beery graduated from the University of Puget Sound in 1983, majoring in mathematics and English literature. She went to Dartmouth College for her graduate education in mathematics, earning a master's degree there in 1985 and completing her Ph.D. in 1989. Her dissertation, Transitive Groups of Prime Degree, was in group theory, supervised by Thomas F. Bickel.
While at Dartmouth, she also worked as an instructor at the University of Puget Sound. She has been on the University of Redlands faculty since 1989.
Contributions
With Jackie Stedall, Beery is the editor of Thomas Harriot’s Doctrine of Triangular Numbers: the 'Magisteria Magna' (European Mathematical Society, 2009). She is also an editor of Women in Mathematics – Celebrating the Centennial of the Mathematical Association of America (Springer, 2017), with Sarah J. Greenwald, Jacqueline Jensen-Vallin, and Maura Mast.
She has been editor-in-chief of Convergence, a journal of the Mathematical Association of America, since 2009.
She has also been active with the College Board in developing examination questions and instructional material for the AP Calculus exam,
and has been clerk of the Association for Women in Mathematics since 2014.
Recognition
In 2010 the Mathematical Association of America gave Beery their Meritorious Service Award.
References
External links
Home page
Year of birth missing (living people)
Living people
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
University of Puget Sound alumni
Dartmouth College alumni
University of Puget Sound faculty
University of Redlands faculty
20th-century women mathematicians
21st-century women mathematicians
20th-century American women educators
20th-century American educators
21st-century American women
20th-century American women writers |
https://en.wikipedia.org/wiki/Akivis%20algebra | In mathematics, and in particular the study of algebra, an Akivis algebra is a nonassociative algebra equipped with a binary operator, the commutator and a ternary operator, the associator that satisfy a particular relationship known as the Akivis identity. They are named in honour of Russian mathematician Maks A. Akivis.
Formally, if is a vector space over a field of characteristic zero, we say is an Akivis algebra if the operation is bilinear and anticommutative; and the trilinear operator satisfies the Akivis identity:
An Akivis algebra with is a Lie algebra, for the Akivis identity reduces to the Jacobi identity. Note that the terms on the right hand side have positive sign for even permutations and negative sign for odd permutations of .
Any algebra (even if nonassociative) is an Akivis algebra if we define and . It is known that all Akivis algebras may be represented as a subalgebra of a (possibly nonassociative) algebra in this way (for associative algebras, the associator is identically zero, and the Akivis identity reduces to the Jacobi identity).
References
M. R. Bremner, I. R. Hentzel, and L. A. Peresi 2005. "Dimension formulas for the free nonassociative algebra". Communications in Algebra 33:4063-4081.
Algebra |
https://en.wikipedia.org/wiki/List%20of%20Mexican%20states%20by%20GDP%20per%20capita | The following is the list of Mexico's 32 federal states ranked by their GDP (PPP) per capita as of 2018, according to OECD Statistics.
See also
List of Mexican states by GDP
List of Mexican states by Human Development Index
General:
States of Mexico
Ranked list of Mexican states
References
GDP
GDP
Mexican states
Mexico, GDP per capita |
https://en.wikipedia.org/wiki/India%20national%20football%20team%20records%20and%20statistics | The following is a list of the India national football team's competitive records and statistics.
The India national football team represents India in international football and is controlled by the All India Football Federation. Under the global jurisdiction of FIFA and governed in Asia by the AFC, the team is also part of the South Asian Football Federation. The team, which was once considered one of the best teams in Asia, had its golden era during the 1950s and early 1960s. During this period, under the coaching of Syed Abdul Rahim, India won gold during the 1951 and 1962 Asian Games,won Silver medal in 1964 AFC Asia Cup as runners up,while finishing fourth during the 1956 Summer Olympics.
India has never participated in the FIFA World Cup, although the team did qualify by default for the 1950 World Cup after all the other nations in their qualification group withdrew. However India withdrew prior to the beginning of the tournament.
India has never participated in a FIFA World Cup. After gaining independence in 1947, India managed to qualify for the World Cup held in 1950. This was due to Myanmar, Indonesia, and the Philippines withdrawing from qualification. However, prior to the start of the tournament, India themselves withdrew due to the expenses required in getting the team to Brazil. Other reasons cited for why India withdrew include FIFA not allowing Indian players to play in the tournament barefoot and the All India Football Federation not considering the World Cup an important tournament compared to the Olympics.
After withdrawing from the 1950 FIFA World Cup, India didn't enter the qualifying rounds of the tournament between 1954 and 1982. Since the 1986 qualifiers, with the exception of the 1990 edition of the tournament, the team started to participate in qualifiers but have yet to qualify for the tournament again.
Individual records
Player records
Players in bold are still active with India.
Manager records
Competition records
FIFA World Cup
India has never played in finals of a FIFA World Cup. The closest they came to qualify was back in 2002 when they were a point away from progressing in to the final round.
AFC Asian Cup
Summer Olympics
Asian Games
AFC Challenge Cup
SAFF Championship
South Asian Games
Other tournaments
Colombo Cup
Champions: 1952, 1953, 1954, 1955
Merdeka Cup
Runners-up: 1959, 1964
Third place: 1965, 1966, 1970, 2023
Pesta Sukan Cup
Champions: 1971
Afghanistan Republic Day Cup
Third place: 1976, 1977
King's Cup
Third place: 1977, 2019
ANFA Cup
Runners-up: 1983
Afro-Asian Games
Runners-up: 2003
Nehru Cup
Champions: 2007, 2009, 2012
Intercontinental Cup
Champions: 2018, 2023
Tri-Nation Series
Champions: 2017, 2023
VFF Cup
Runners-up: 2022
Head-to-head record
The results only include matches considered as FIFA A matches (including Olympic and Qualifier matches). Other matches played against Club teams, Underage sides or B sides are not included here. Update |
https://en.wikipedia.org/wiki/Elizabeth%20Stasny | Elizabeth Ann Stasny is a professor emeritus of statistics at Ohio State University. She is an expert on survey methodology and particularly on missing data in surveys.
Education
Stasny earned her Ph.D. in 1983 at Carnegie Mellon University. Her dissertation, Estimating Gross Flows in Labor Force Participation Using Data From the Canadian Labour Force Survey, was supervised by Stephen Fienberg.
Contributions
With Dennis K. Pearl, Stasny is the author of Experiments in Statistical Concepts (Kendall Hunt, 1994).
In 2010 she became one of 18 experts named by US Attorney General Eric Holder to found the Science Advisory Board of the Office of Justice Programs.
Recognition
Stasny was elected as a Fellow of the American Statistical Association in 1997.
References
American statisticians
Women statisticians
Carnegie Mellon University alumni
Ohio State University faculty
Fellows of the American Statistical Association
Year of birth missing (living people)
Living people |
https://en.wikipedia.org/wiki/Ionescu-Tulcea%20theorem | In the mathematical theory of probability, the Ionescu-Tulcea theorem, sometimes called the Ionesco Tulcea extension theorem, deals with the existence of probability measures for probabilistic events consisting of a countably infinite number of individual probabilistic events. In particular, the individual events may be independent or dependent with respect to each other. Thus, the statement goes beyond the mere existence of countable product measures. The theorem was proved by Cassius Ionescu-Tulcea in 1949.
Statement of the theorem
Suppose that is a probability space and for is a sequence of measurable spaces. For each let
be the Markov kernel derived from and , where
Then there exists a sequence of probability measures
defined on the product space for the sequence ,
and there exists a uniquely defined probability measure on , so that
is satisfied for each and . (The measure has conditional probabilities equal to the stochastic kernels.)
Applications
The construction used in the proof of the Ionescu-Tulcea theorem is often used in the theory of Markov decision processes, and, in particular, the theory of Markov chains.
See also
Disintegration theorem
Regular conditional probability
Sources
References
Markov processes
Stochastic processes |
https://en.wikipedia.org/wiki/Nairanjana%20Dasgupta | Nairanjana (Jan) Dasgupta is an Indian statistician at Washington State University, where she is Boeing Distinguished Professor in Mathematics and Statistics. Her research interests include large-scale multiple testing in bioinformatics, as well as applications involving nutrition and lactation, and the growth of apples.
Education and career
Dasgupta graduated from Presidency College, Kolkata in 1990, with a bachelor's degree in statistics and minors in mathematics and economics. She went to the University of South Carolina for graduate study in statistics. She earned a master's degree in 1994 with a thesis supervised by Stephen Durham on hyperfinite probability theory and completed her Ph.D. in 1996. Her doctoral advisor was John Spurrier, and her dissertation, on logistic regression, was Comparison to control in logistic regression.
She joined the statistics faculty at Washington State University in 1996 and became the director of the newly established Center of Interdisciplinary Statistics Education and Research there in 2015.
Recognition
Dasgupta was named Boeing Distinguished Professor of Math and Science Education at Washington State University in 2017. In 2018, she was named a Fellow of the American Statistical Association. She is the 2022 president of the Caucus for Women in Statistics.
References
External links
Nairanjana Dasgupta at the Washington State University website
Year of birth missing (living people)
Living people
American statisticians
Indian statisticians
Women statisticians
Presidency University, Kolkata alumni
University of South Carolina alumni
Washington State University faculty
Fellows of the American Statistical Association |
https://en.wikipedia.org/wiki/Jerzy%20Baksalary | Jerzy Kazimierz Baksalary (25 June 1944–8 March 2005) was a Polish mathematician who specialized in mathematical statistics and linear algebra. In 1990 he was appointed professor of mathematical sciences. He authored over 170 academic papers published and won one of the Ministry of National Education awards.
He was a graduate of the Faculty of Mathematics, Physics and Chemistry at the University of Adam Mickiewicz in Poznan (1969). In the years 1969-1988 he was associated with the Department of Mathematics of the University of Agriculture in Poznań.
From 1996, he was the dean of the Faculty of Mathematics, Physics and Technology at the Military University of WSP, and after the WSP joined the Zielona Góra University of Technology and the emergence of the University of Zielona Góra, he headed the Linear Algebra and Mathematical Statistics group.
References
1944 births
2005 deaths
Polish mathematicians
Adam Mickiewicz University in Poznań alumni
Academic staff of the University of Zielona Góra |
https://en.wikipedia.org/wiki/Rosa%20M.%20Mir%C3%B3-Roig | Rosa M. Miró-Roig (born August 6, 1960) is a professor of mathematics at the University of Barcelona, specializing in algebraic geometry and commutative algebra. She did her graduate studies at the University of Barcelona, earning a Ph.D. in 1985 under the supervision of Sebastià Xambó-Descamps with a thesis entitled Haces reflexivos sobre espacios proyectivos.
Books and editing
Miró-Roig has authored and co-authored three mathematics research volumes. Most recently, she co-authored On the Shape of a Pure O-sequence (American Mathematical Society 2012) with Mats Boij, Juan C. Migliore, Uwe Nagel, and Fabrizio Zanello. Previously, she authored the research text Determinantal Ideals (Birkhäuser 2007) and co-authored the monograph Gorenstein Liaison, Complete Intersection Liaison Invariants and Unobstructedness (American Mathematical Society 2001) with Jan O. Kleppe, Juan C. Migliore, Uwe Nagel, and Chris Peterson.
Miró-Roig is the Chief Editor of the mathematics research journal Collectanea Mathematica (Springer). Also, she is on the editorial boards of the mathematics research journals Beiträge zur Algebra und Geometrie (Springer) and Journal of Commutative Algebra (Rocky Mountain Mathematics Consortium). Furthermore, she co-edited the mathematics research volumes Projective Varieties with Unexpected Properties (De Gruyter 2008) with Ciro Ciliberto, Antony V. Geramita, Brian Harbourne, and Kristian Ranestad, European Congress of Mathematics: Barcelona, July 10–14, 2000 (Birkhäuser 2001) two volumes with Carles Casacuberta, Joan Verdera, and Sebastià Xambó-Descamps, Six Lectures on Commutative Algebra (Birkhäuser 1998) with J. Elias, J. M. Giral, and S. Zarzuela, and Complex Analysis and Geometry (Chapman and Hall/CRC 1997) with V. Ancona, E. Ballico, and A. Silva
Recognition
In 2007, Miró-Roig was awarded the Ferran Sunyer i Balaguer Prize for her work "Determinantal Ideals (Birkhäuser, 2007)".
References
1960 births
Living people
20th-century Spanish mathematicians
Women mathematicians
Algebraic geometers
University of Barcelona alumni
Academic staff of the University of Barcelona
21st-century Spanish mathematicians |
https://en.wikipedia.org/wiki/Laurence%20Broze | Laurence Broze (born 1960) is a Belgian applied mathematician specializing in statistics and econometrics and particularly in the theory of rational expectations. She is a professor of applied mathematics at the University of Lille in France. From 2012 to 2018 she was president of l'association femmes et mathématiques, a French association for women in mathematics.
Education and career
Broze was born in Brussels. She went to high school in Charleroi and earned an agrégation in mathematics in 1982 at the Université Libre de Bruxelles. She earned her doctorate at the same university in 1986, and completed a habilitation at the University of Lille in 1994. Her doctoral thesis, Réduction, identification et estimation des modèles à anticipations rationnelles, was supervised by Simone Huyberechts.
She became an assistant at the Université Libre de Bruxelles in 1985, and moved to Charles de Gaulle University – Lille III in 1989. At Charles de Gaulle University, she also served as vice president of research from 2000 to 2006, and directed the unit for mathematics, computer science, management, and economics (UFR MIME) from 2009 to 2014; since 2015 she has been assistant director of UFR MIME. In 2018, Charles de Gaulle University merged with two others to become the University of Lille. Since 1996 she has also been a part-time visiting professor at Saint-Louis University, Brussels.
Contributions
With A. Szafarz, Broze is the author of The Econometric Analysis of Non-Uniqueness in Rational Expectations Models (Contributions to Economic Analysis, Elsevier, 1991). With Szafarz and C. Gourieroux, she is the author of Reduced Forms of Rational Expectations Models (Fundamentals of Pure and Applied Economics 42, Harwood Academic Publishers, 1990).
Recognition
In 2014, Broze became a knight of the Legion of Honour, and an officer of the Ordre des Palmes Académiques.
References
1960 births
Living people
Belgian economists
Belgian mathematicians
Belgian statisticians
French economists
French mathematicians
French statisticians
Belgian women economists
Belgian women mathematicians
Women statisticians
Université libre de Bruxelles alumni
Knights of the Legion of Honour
Officiers of the Ordre des Palmes Académiques |
https://en.wikipedia.org/wiki/Beilinson%E2%80%93Bernstein%20localization | The Beilinson–Bernstein localization theorem is a foundational result of geometric representation theory, a part of mathematics studying the representation theory of e.g. Lie algebras using geometry.
Statement
Let G be a reductive group over the complex numbers, and B a Borel subgroup. Then there is an equivalence of categories
On the left is the category of D-modules on G/B. On the right χ is a homomorphism χ : Z(U(g)) → C from the centre of the universal enveloping algebra,
corresponding to the weight -ρ ∈ t* given by minus half the sum over the positive roots of g. The above action of W on t* = Spec Sym(t) is shifted so as to fix -ρ.
Twisted version
There is an equivalence of categories
for any λ ∈ t* such that λ-ρ does not pair with any positive root α to give a nonpositive integer (it is "regular dominant"):
Here χ is the central character corresponding to λ-ρ, and Dλ is the sheaf of rings on G/B formed by taking the *-pushforward of DG/U along the T-bundle G/U → G/B, a sheaf of rings whose center is the constant sheaf of algebras U(t), and taking the quotient by the central character determined by λ (not λ-ρ).
Example: SL2
The Lie algebra of vector fields on the projective line P1 is identified with sl2, and
via
It can be checked linear combinations of three vector fields C ⊂ P1 are the only vector fields extending to ∞ ∈ P1. Here,
is sent to zero.
The only finite dimensional sl2 representation on which Ω acts by zero is the trivial representation k, which is sent to the constant sheaf, i.e. the ring of functions O ∈ D-Mod. The Verma module of weight 0 is sent to the D-Module δ supported at 0 ∈ P1.
Each finite dimensional representation corresponds to a different twist.
History
The theorem was introduced by .
Extensions of this theorem include the case of partial flag varieties G/P, where P is a parabolic subgroup in and a theorem relating D-modules on the affine Grassmannian to representations of the Kac–Moody algebra in .
References
Hotta, R. and Tanisaki, T., 2007. D-modules, perverse sheaves, and representation theory (Vol. 236). Springer Science & Business Media.
Beilinson, A. and Bernstein, J., 1993. A proof of Jantzen conjectures. ADVSOV, pp.1-50.
Representation theory
Lie algebras
Algebraic geometry |
https://en.wikipedia.org/wiki/Anastasia%20Stavrova | Anastasia Konstantinovna Stavrova () is a Russian mathematician specializing in algebraic groups, non-associative algebra, and algebraic K-theory. She is a researcher in the Chebyshev Laboratory at Saint Petersburg State University.
Education and career
Stavrova earned a specialist degree in mathematics at Saint Petersburg State University in 2005. After traveling to the University of Leiden and University of Padua for a master's degree, which she completed in 2007, she returned to Saint Petersburg State University for her doctoral studies. Her 2009 dissertation, Structure of Isotropic Reductive Groups, was supervised by Nikolai Vavilov.
She returned to Saint Petersburg State University as a researcher, after doing postdoctoral research from 2010 to 2012 at Ludwig Maximilian University of Munich and the University of Duisburg-Essen in Germany, and in 2013 as the Jerrold E. Marsden Postdoctoral Fellow at the Fields Institute in Canada.
Recognition
Stavrova won the Young Mathematician Prize of the Saint Petersburg Mathematical Society in 2009, and the Young Russian Mathematics Scholarship in 2016. In 2018, she won the of the Canadian Mathematical Society.
References
External links
Year of birth missing (living people)
Living people
Russian mathematicians
Russian women mathematicians
Women mathematicians
Leiden University alumni
University of Padua alumni |
https://en.wikipedia.org/wiki/Compound%20of%20tesseract%20and%2016-cell | In 4-dimensional geometry, the tesseract 16-cell compound is a polytope compound composed of a regular tesseract and its dual, the regular 16-cell. Its convex hull is the regular 24-cell, which is self-dual.
A compound polytope is a figure that is composed of several polytopes sharing a common center. The outer vertices of a compound can be connected to form a convex polytope called its convex hull. The compound is a facetting of the convex hull. In 4-polytope compounds constructed as dual pairs, cells and vertices swap positions and faces and edges swap positions. Because of this the number of cells and vertices are equal, as are faces and edges. Mid-edges of the tesseract cross mid-face in the 16-cell, and vice versa.
The tesseract 16-cell compound can be seen as the 4-dimensional analogue of a compound of cube and octahedron.
It is one of four compound polytopes which are obtained by combining a regular convex 4-polytope with its dual; the other three being the compound of two 5-cells, compound of two 24-cells and compound of 120-cell and 600-cell.
Construction
The 24 Cartesian coordinates of the vertices of the compound are:
8: (±2, 0, 0, 0), ( 0, ±2, 0, 0), ( 0, 0, ±2, 0), ( 0, 0, 0, ±2)
16: ( ±1, ±1, ±1, ±1)
These are the first two vertex sets of the stellations of a 16-cell.
Faceting the 24-cell
The convex hull of the tesseract 16-cell compound is the regular 24-cell. This makes the compound a faceting of the 24-cell.
The 24-cell is a rectified 16-cell and also the convex hull of a compound of three 16-cells. The tesseract is the convex hull of a compound of two 16-cells. Thus the tesseract 16-cell compound is a lower-symmetry form of the 24-cell, which is the whole package (the F4 symmetry group).
The intersection of the tesseract and 16-cell compound is the uniform bitruncated tesseract: = ∩ .
See also
Compound of 5-cube and 5-orthoplex
References
External links
Compound of the Tesseract and Its Dual, the 16-Cell
Rotating Compound of the Tesseract and Its Dual
Polyhedral compounds |
https://en.wikipedia.org/wiki/Susan%20S.%20Ellenberg | Susan S. Ellenberg is an American statistician specializing in the design of clinical trials and in the safety of medical products.
She is a professor of biostatistics, medical ethics and health policy in the Perelman School of Medicine at the University of Pennsylvania. She was the 1993 president of the Society for Clinical Trials and the 1999 President of the Eastern North American Region of the International Biometric Society.
Education and career
Ellenberg graduated from Radcliffe College in 1967. She earned a master's degree from the Harvard Graduate School of Education and became a high school mathematics teacher. She stopped teaching to raise a family, and began working as a computer programmer for Jerome Cornfield at George Washington University, something she could do while working from home.
She became a graduate student at George Washington University, completing a Ph.D. in mathematical statistics there in 1980,
while continuing to work for Cornfield.
She joined the National Cancer Institute in 1982,
and in 1988 moved to the National Institute of Allergy and Infectious Diseases as chief of the newly founded Biostatistics Branch of the Division of AIDS. While attending an International AIDS Conference in Montreal, Ellenberg obtained an ACT UP Treatment Research Agenda about humanizing drug trials. She shared copies with a working group of statisticians at NIH and FDA, quickly supplemented by AIDS activists and interested clinicians, to discuss improved approaches to AIDS clinical research. For her role in AIDS research, Ellenberg was featured in the film How to Survive a Plague.
She moved again in 1993 to the Food and Drug Administration, as director of the Office of Biostatistics and Epidemiology in the Center for Biologics Evaluation and Research. She took her present position at the Perelman School in 2004.
In 2011, she became Chair of the Board of Trustees of the National Institute of Statistical Sciences. At the Perelman School, she has also served as Associate Dean for Clinical Research.
Book
With Thomas Fleming and David DeMets, Ellenberg is the author of Data Monitoring Committees in Clinical Trials: A Practical Perspective, published in 2002 by Wiley.
Recognition
Ellenberg became a Fellow of the American Statistical Association in 1991. She is also an elected member of the International Statistical Institute, and a fellow of the American Association for the Advancement of Science and of the Society for Clinical Trials.
She received the Founders Award from the American Statistical Association in 1996, the 2014 Distinguished Achievement Award from the National Institute of Statistical Sciences, and the 2018 Janet L. Norwood Award for outstanding achievement by a woman in statistical sciences.
In 2019 she was given the Florence Nightingale David Award of the Committee of Presidents of Statistical Societies and Caucus for Women in Statistics "for impactful leadership roles at the NIH, FDA and the University of Pennsylvani |
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