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https://en.wikipedia.org/wiki/Aleksandar%20Nikolov%20%28computer%20scientist%29
Aleksandar Nikolov is a Bulgarian and Canadian theoretical computer scientist working on differential privacy, discrepancy theory, and high-dimensional geometry. He is a professor at the University of Toronto. Nikolov obtained his Ph.D. from Rutgers University in 2014 under the supervision of S. Muthukrishnan (Thesis: New computational aspects of discrepancy theory). Nikolov is the Canada Research Chair in Algorithms and Private Data Analysis. References Living people Canadian mathematicians Canadian computer scientists Year of birth missing (living people)
https://en.wikipedia.org/wiki/List%20of%20PAOK%20FC%20records%20and%20statistics
PAOK Football Club (, Πανθεσσαλονίκειος Αθλητικός Όμιλος Κωνσταντινοπολιτών, Panthessaloníkios Athlitikós Ómilos Konstantinopolitón, "Pan-Thessalonian Athletic Club of Constantinopolitans"), commonly known as PAOK Thessaloniki or PAOK, is a professional football club based in Thessaloniki, Macedonia, Greece. Established on 20 April 1926 by Greek refugees who fled to Thessaloniki from Constantinople in the wake of the Greco-Turkish War (1919–1922), they play their home games at Toumba Stadium, with a capacity of 29,000 seats. Honours Domestic Super League Winners (3): 1975–76, 1984–85, 2018–19 Greek Cup Winners (8): 1971–72, 1973–74, 2000–01, 2002–03, 2016–17, 2017–18, 2018–19, 2020–21 Double Winners (1): 2018–19 Greater Greece Cup (Defunct) Winners (1): 1973 European UEFA Champions League Last 16 (1): 1976–77 UEFA Cup Winners' Cup: Quarter-finalists (1): 1973–74 UEFA Europa League: Last 32 (11): 1982–83, 1983–84, 1991–92, 1997–98, 2000–01, 2001–02, 2002–03, 2010–11, 2011–12, 2013–14, 2016–17 UEFA Europa Conference League Quarter-finalists (1): 2021–22 Regional Macedonia FCA Championship: Winners (7): 1936–37, 1947–48, 1949–50, 1953–54, 1954–55, 1955–56, 1956–57 Macedonia-Thrace FCA Championship: Winners (1): 1939–40 Player records Appearances Most appearances in all competitions: Giorgos Koudas, 607. Most league appearances: Giorgos Koudas, 504. Most Greek Cup appearances: Giorgos Koudas, 70. Most Greek Cup final appearances: Giorgos Koudas, 9. Most Continental appearances: Dimitris Salpingidis, 60. Youngest debutant: Apostolos Tsourelas, 16 years, 6 months and 18 days. Oldest first-team player: Kostas Chalkias, 37 years, 11 months and 17 days. Most consecutive league appearances: Nikos Michopoulos, 107. Longest-serving player: Giorgos Koudas, 20 years, 2 months and 6 days. {| cellpadding=8 |- |valign="bottom"|Most league appearances: Goalscorers Most goals in all competitions: Stavros Sarafis, 169. Most league goals: Stavros Sarafis, 136. Most Greek Cup goals: Giorgos Koudas, 27. Most Continental goals: Stefanos Athanasiadis, 20. First player to score for PAOK: Most goals in a season: Aleksandar Prijović, 27 (during the 2017–18 season). Most goals in a debut season: Most league goals in a season: Aleksandar Prijović, 19 (during the 2017–18 Superleague Greece). Most continental goals in a season: Robert Mak, 9 (during the 2015–16 season). Most hat-tricks / four-goal hauls in a season: Giorgos Kostikos, 1 hat-trick and 2 four-goal hauls (during the 1981–82 season). Most games scored in a single campaign: Most hat-tricks: Stavros Sarafis and Giorgos Kostikos, 4. Fastest hat-trick: Giorgos Kostikos, 15 minutes, (Panachaiki – PAOK 0–3, 9 December 1984). Most penalties scored: Giorgos Skartados, 27. Most games without scoring for an outfield player: Youngest goalscorer: Stefanos Tzimas, 17 years, 1 month and 27 days. Oldest goalscorer: Vieirinha, 37 years, 9 months and 2 days. Top goalscorers League top goalscorers: Goalke
https://en.wikipedia.org/wiki/Hans%20Peter%20Schlickewei
Hans Peter Schlickewei (born 1947) is a German mathematician, specializing in number theory and, in particular, the theory of transcendental numbers. Schlickewei received his doctorate in 1975 at the University of Freiburg under the supervision of Theodor Schneider. Schlickewei is a professor at the University of Marburg. He proved in 1976 the p-adic generalization of the subspace theorem of Wolfgang M. Schmidt. Schlickewei's theorem implies the Thue-Siegel-Roth theorem, whose p-adic analogue was already proved in 1958 by David Ridout. In 1998, Schlickewei was an invited speaker with talk The Subspace Theorem and Applications at the International Congress of Mathematicians in Berlin. Selected publications Approximation of algebraic numbers, pp. 107–170 in: D. Masser, Yu. V. Nesterenko, W. Schmidt, M. Waldschmidt (eds.): Diophantine Approximation, Lectures CIME Summer School 2000, Springer 2003 References External links 1947 births Living people 20th-century German mathematicians 21st-century German mathematicians Number theorists University of Freiburg alumni Academic staff of the University of Marburg
https://en.wikipedia.org/wiki/Maury%20Bramson
Maury Daniel Bramson (born 1951 in New York City) is an American mathematician, specializing in probability theory and mathematical statistics. Education and career Bramson grew up in the Los Angeles area and graduated with a bachelor's degree in mathematics from the University of California, Berkeley after having also attended the University of California, San Diego and having participated in the University of California's Education Abroad Program at the University of Göttingen. He graduated with a master's degree in statistics from Stanford University. In 1977 he received his PhD from Cornell University with thesis Maximal Displacement of Branching Brownian Motion under the supervision of Harry Kesten. Bramson was an instructor at the Courant Institute of Mathematical Sciences. He was a member of the mathematical faculties of the University of Wisconsin–Madison and the University of California, Davis before becoming a professor at the University of Minnesota. He was at the Institute for Advanced Study for the academic year 1995–1996. Bramson's research deals with models of interacting particle systems, stochastic networks, and branching processes. The models are motivated by physical and biological science, engineering, and computer science. Bramson was an Invited Speaker at the International Congress of Mathematicians in Berlin in 1998. He was elected a Fellow of the American Mathematical Society in the class of 2015 for "contributions to stochastic processes and their applications." He was elected a member of the National Academy of Sciences in 2017. He is also a Fellow of the Institute of Mathematical Statistics. Selected publications Articles Books 2012 pbk reprint References 1951 births Living people 20th-century American mathematicians 21st-century American mathematicians Probability theorists UC Berkeley College of Letters and Science alumni Cornell University alumni University of Minnesota faculty Members of the United States National Academy of Sciences Fellows of the American Mathematical Society Fellows of the Institute of Mathematical Statistics Mathematical statisticians
https://en.wikipedia.org/wiki/Ludomir%20Newelski
Ludomir Newelski (born 27 November 1960, Wrocław) is a Polish mathematician, specializing in model theory, set theory, foundations of mathematics, and universal algebra. He attended the 14th High School in Wrocław, where in April 1977, as a second-year student, he became one of the first laureates of the Polish Mathematical Olympiad in this school. He studied and graduated in mathematics at the University of Wrocław and then worked at the Mathematical Institute of the Polska Akademia Nauk (PAN). At PAN he received his PhD in 1987 and habilitated in 1991. He worked at PAN until 1994 and then moved to the University of Wrocław, where he now works. He obtained the rank of full professor in 1998. From 2007 to 2016 Newelski was the director of the Mathematical Institute of the University of Wrocław. Newelski was an Invited Speaker at the International Congress of Mathematicians in 1998 in Berlin. He was the winner of the Prize of the Foundation for Polish Science in the field of exact sciences in 2001 "for work in the field of mathematical logic constituting a breakthrough in model theory and algebra". Selected publications References 1960 births Living people Polish mathematicians University of Wrocław alumni Academic staff of the University of Wrocław
https://en.wikipedia.org/wiki/Polytopological%20space
In general topology, a polytopological space consists of a set together with a family of topologies on that is linearly ordered by the inclusion relation ( is an arbitrary index set). It is usually assumed that the topologies are in non-decreasing order, but some authors prefer to put the associated closure operators in non-decreasing order (operators and satisfy if and only if for all ), in which case the topologies have to be non-increasing. Polytopological spaces were introduced in 2008 by the philosopher Thomas Icard for the purpose of defining a topological model of Japaridze's polymodal logic (GLP). They subsequently became an object of study in their own right, specifically in connection with Kuratowski's closure-complement problem. Definition An -topological space is a set together with a monotone map Top where is a partially ordered set and Top is the set of all possible topologies on ordered by inclusion. When the partial order is a linear order, then is called a polytopological space. Taking to be the ordinal number an [[N-topological space|-topological space]] can be thought of as a set together with topologies on it (or depending on preference). More generally, a multitopological space is a set together with an arbitrary family of topologies on See also Bitopological space References Topology
https://en.wikipedia.org/wiki/Henry%20Crapo%20%28mathematician%29
Henry Howland Crapo (; August 12, 1932 – September 3, 2019) was an American-Canadian mathematician who worked in algebraic combinatorics. Over the course of his career, he held positions at several universities and research institutes in Canada and France. He is noted for his work in matroid theory and lattice theory. Education and career Crapo was born in Detroit, Michigan, in 1932. He received his Ph.D. in 1964 under the supervision of Gian-Carlo Rota and Kenneth Hoffman. He held academic positions at the University of Waterloo, Université de Montréal, INRIA Rocquencourt, and École des Hautes Études en Sciences Sociales. During his time in Waterloo, Crapo became a Canadian citizen. Crapo is known for his early work in matroid theory, and for related work in lattice theory. He introduced the beta invariant of a matroid, and published the first paper on the Tutte polynomial (though Tutte had already defined an equivalent polynomial in his thesis). Together with Gian-Carlo Rota, Crapo wrote the first book on matroid theory. He is also known for Crapo's Complementation Theorem in poset Möbius Inversion. Crapo wrote 65 mathematical publications during his career. Upon his retirement, Crapo moved to the south of France. He continued some mathematical activity, and hosted several small conferences at his house there. He died on September 3, 2019. Awards and honors A special 1999 issue of the journal Advances in Applied Mathematics was dedicated to Crapo on the occasion of his 67th birthday. Personal life Crapo was a patron of the arts. At the University of Waterloo he donated a collection of rare books on the history of dance and ballet, as well as a copy of the Porcellino sculpture of Florence; the latter shoulder-high bronze sculpture of a wild boar later became a mascot for the University of Waterloo Faculty of Arts. He also donated The Temptation of St. Anthony by James Ensor to the Royal Museum of Fine Arts in Antwerp. References 1932 births 2019 deaths 20th-century American mathematicians 21st-century American mathematicians 20th-century Canadian mathematicians 21st-century Canadian mathematicians Massachusetts Institute of Technology School of Science alumni Academic staff of the University of Waterloo Academic staff of the Université de Montréal Combinatorialists Scientists from Detroit Writers from Detroit Mathematicians from Michigan Naturalized citizens of Canada Canadian expatriates in France American expatriates in France
https://en.wikipedia.org/wiki/Glossary%20of%20Lie%20groups%20and%20Lie%20algebras
This is a glossary for the terminology applied in the mathematical theories of Lie groups and Lie algebras. For the topics in the representation theory of Lie groups and Lie algebras, see Glossary of representation theory. Because of the lack of other options, the glossary also includes some generalizations such as quantum group. Notations: Throughout the glossary, denotes the inner product of a Euclidean space E and denotes the rescaled inner product A B C D E F G H I J K L N M P Q R S Classical Lie algebras: Exceptional Lie algebras: T U Unitarian trick V Verma module W References Erdmann, Karin & Wildon, Mark. Introduction to Lie Algebras, 1st edition, Springer, 2006. Humphreys, James E. Introduction to Lie Algebras and Representation Theory, Second printing, revised. Graduate Texts in Mathematics, 9. Springer-Verlag, New York, 1978. Jacobson, Nathan, Lie algebras, Republication of the 1962 original. Dover Publications, Inc., New York, 1979. Claudio Procesi (2007) Lie Groups: an approach through invariants and representation, Springer, . . J.-P. Serre, "Lie algebras and Lie groups", Benjamin (1965) (Translated from French) Lie Algebra Wikipedia glossaries using description lists
https://en.wikipedia.org/wiki/Friedrich%20G%C3%B6tze
Friedrich Götze (born 6 August 1951 in Hameln) is a German mathematician, specializing in probability theory, mathematical statistics, and number theory. Education and career Götze studied mathematics and physics at the University of Göttingen and the University of Bonn by means of a scholarship from the Studienstiftung des deutschen Volkes. In 1978 he received his doctorate from the University of Cologne with thesis Asymptotic Expansions in the Central Limit Theorem in Banach Spaces under the supervision of Johann Pfanzagl. At the University of Cologne, Götze was an assistant, interrupted by a year as visiting professor at the University of California, Berkeley. In 1983 he habilitated in Cologne with thesis Asymptotic developments in central limit theorems. In 1984 he became a professor of mathematics at Bielefeld University. For the academic years 1990/91 and 2002/2003 he was Dean of the Faculty of Mathematics. Götze is a member of the scientific advisory board of the Weierstrass Institute (of which he is a founding member) and of the board of the Gesellschaft für Mathematische Forschung, which supports and legally represents the Mathematisches Forschungsinstitut Oberwolfach. He is a Fellow of the University of Göttingen's Institute for Mathematical Stochastics and a member of Academia Europaea. He was in 2017/18 the vice-president and was elected for 2019/20 the president of the Deutsche Mathematiker-Vereinigung (DMV). Research His research deals with asymptotic methods, convergence rates and limit theorems in mathematical statistics, Markov processes, stochastic algorithms, probability theory, functional analysis, and spectral distribution in random matrices. He applied probabilistic methods to analytic number theory and the geometry of numbers, including the problem of distribution and density of lattice points in ellipses. With the introduction of fundamental new methods, he gave a new, effective proof of the Oppenheim conjecture, which was first proved by Grigory Margulis in 1987. Götze was the spokesperson for the DFG Collaborative Research Center's Spektrale Strukturen und Topologische Methoden in der Mathematik (Spectral Structures and Topological Methods in Mathematics). Honors and awards Götze was an Invited Speaker at the International Congress of Mathematicians in Berlin in 1988. In 2009 he became a member of the Leopoldina. In 2012 he was the Gauss Lecturer with talk Der mehrdimensionale zentrale Grenzwertsatz und die Geometrie der Zahlen (The multidimensional central limit theorem and the geometry of numbers). For his contribution to the establishment of the European Institute for Statistics, Probability, Stochastic Operations Research and its Applications (Eurandom), he was awarded the Order of Orange-Nassau in 2014. References External links Homepage (with recent online preprints) 1951 births Living people 20th-century German mathematicians 21st-century German mathematicians Probability theorists University of Cologne
https://en.wikipedia.org/wiki/Bivariant%20theory
In mathematics, a bivariant theory was introduced by Fulton and MacPherson , in order to put a ring structure on the Chow group of a singular variety, the resulting ring called an operational Chow ring. On technical levels, a bivariant theory is a mix of a homology theory and a cohomology theory. In general, a homology theory is a covariant functor from the category of spaces to the category of abelian groups, while a cohomology theory is a contravariant functor from the category of (nice) spaces to the category of rings. A bivariant theory is a functor both covariant and contravariant; hence, the name “bivariant”. Definition Unlike a homology theory or a cohomology theory, a bivariant class is defined for a map not a space. Let be a map. For such a map, we can consider the fiber square (for example, a blow-up.) Intuitively, the consideration of all the fiber squares like the above can be thought of as an approximation of the map . Now, a birational class of is a family of group homomorphisms indexed by the fiber squares: satisfying the certain compatibility conditions. Operational Chow ring The basic question was whether there is a cycle map: If X is smooth, such a map exists since is the usual Chow ring of X. has shown that rationally there is no such a map with good properties even if X is a linear variety, roughly a variety admitting a cell decomposition. He also notes that Voevodsky's motivic cohomology ring is "probably more useful " than the operational Chow ring for a singular scheme (§ 8 of loc. cit.) References Dan Edidin and Matthew Satriano, Towards an intersection Chow cohomology for GIT quotients The last two lectures of Vakil, Math 245A Topics in algebraic geometry: Introduction to intersection theory in algebraic geometry External links nLab- bivariant cohomology theory Abelian group theory Algebraic geometry Cohomology theories Functors Homology theory
https://en.wikipedia.org/wiki/Bill%20%28footballer%2C%20born%201999%29
Fabricio Rodrigues da Silva Ferreira (born 7 May 1999), commonly known as Bill, is a Brazilian footballer who plays as a winger for Dnipro-1. Career statistics Club Notes References External links 1999 births Living people Brazilian men's footballers Brazilian expatriate men's footballers Men's association football forwards Campeonato Brasileiro Série A players Campeonato Brasileiro Série B players Ukrainian Premier League players Latvian Higher League players Nova Iguaçu FC players CR Flamengo footballers Associação Atlética Ponte Preta players Clube de Regatas Brasil players SC Dnipro-1 players Sport Club do Recife players FK RFS players Associação Atlética Internacional (Limeira) players Sampaio Corrêa Futebol Clube players Brazilian expatriate sportspeople in Ukraine Expatriate men's footballers in Ukraine Brazilian expatriate sportspeople in Latvia Expatriate men's footballers in Latvia People from Belford Roxo Footballers from Rio de Janeiro (state)
https://en.wikipedia.org/wiki/Bruno%20Gomes%20%28footballer%2C%20born%202001%29
Bruno Gomes da Silva Clevelário (born 4 April 2001), commonly known as Bruno Gomes, is a Brazilian footballer who plays as a centre midfielder for Coritiba. Career statistics References External links Coritiba profile 2001 births Living people Brazilian men's footballers Footballers from Rio de Janeiro (city) Men's association football midfielders Campeonato Brasileiro Série A players Campeonato Brasileiro Série B players CR Vasco da Gama players Sport Club Internacional players Coritiba Foot Ball Club players
https://en.wikipedia.org/wiki/Dudu%20%28footballer%2C%20born%201998%29
Eduardo Feitoza Sampaio (born 14 December 1998), commonly known as Dudu, is a Brazilian footballer who plays as an attacking midfielder for Shkupi. Career statistics Club Notes References External links 1998 births Living people Brazilian men's footballers Men's association football midfielders Campeonato Brasileiro Série A players CR Vasco da Gama players Footballers from Rio de Janeiro (city) Liga II players FC Gloria Buzău players Brazilian expatriate men's footballers Brazilian expatriate sportspeople in Romania Expatriate men's footballers in Romania
https://en.wikipedia.org/wiki/Alexander%20%28footballer%2C%20born%201999%29
Alexander Silva de Lucena (born 31 May 1999), commonly known as Alexander, is a Brazilian footballer who plays as a goalkeeper for Avaí, on loan from Vasco da Gama. Career statistics Club Notes References External links 1999 births Living people Brazilian men's footballers Men's association football goalkeepers Campeonato Brasileiro Série A players Campeonato Brasileiro Série B players CR Vasco da Gama players Avaí FC players Footballers from São Gonçalo, Rio de Janeiro
https://en.wikipedia.org/wiki/Rafael%20Fran%C3%A7a
Rafael de Carvalho França (born 17 March 1998) is a Brazilian footballer who plays as a right back. Career statistics Club Notes References External links 1998 births Living people Brazilian men's footballers Men's association football defenders Campeonato Brasileiro Série A players CR Vasco da Gama players Footballers from Rio de Janeiro (city)
https://en.wikipedia.org/wiki/Miranda%20%28footballer%2C%20born%202000%29
Matheus dos Santos Miranda (born 19 January 2000), commonly known as Miranda, is a Brazilian footballer who plays as a defender. Career statistics Club Notes References External links 2000 births Living people Brazilian men's footballers Brazil men's youth international footballers Men's association football defenders Campeonato Brasileiro Série A players CR Vasco da Gama players Footballers from Duque de Caxias, Rio de Janeiro
https://en.wikipedia.org/wiki/Kainandro
Kainandro da Silva Pereira Santos (born 4 June 2000), commonly known as Kainandro, is a Brazilian footballer who plays for Lagos. Career statistics Club Notes References 2000 births Living people Brazilian men's footballers Brazilian expatriate men's footballers Men's association football defenders Campeonato Brasileiro Série C players UAE Pro League players UAE First Division League players Campeonato de Portugal (league) players Grêmio Foot-Ball Porto Alegrense players CR Vasco da Gama players Ittihad Kalba FC players Al Urooba Club players Clube Atlético Mineiro players Floresta Esporte Clube players Expatriate men's footballers in the United Arab Emirates Expatriate men's footballers in Portugal Brazilian expatriate sportspeople in the United Arab Emirates Brazilian expatriate sportspeople in Portugal
https://en.wikipedia.org/wiki/Lucca%20Farias
Lucca Farias Di Giuseppe (born 10 March 2000), commonly known as Lucca, is a Brazilian footballer who plays as a midfielder. Career statistics Club Notes References 2000 births Living people Brazilian men's footballers Men's association football midfielders UAE Pro League players UAE First Division League players Associação Portuguesa de Desportos players Ituano FC players Khor Fakkan Club players Al Urooba Club players Fujairah FC players Expatriate men's footballers in the United Arab Emirates Brazilian expatriate sportspeople in the United Arab Emirates
https://en.wikipedia.org/wiki/Renner%20%28footballer%29
Renner de Souza Silva (born 24 February 2000), commonly known as Renner, is a Brazilian footballer who plays as a left back for Gremio Prudente. Career statistics Club Notes References 2000 births Living people Brazilian men's footballers Men's association football fullbacks Campeonato Brasileiro Série B players UAE Pro League players Fluminense FC players Figueirense FC players Al Jazira Club players Expatriate men's footballers in the United Arab Emirates Brazilian expatriate sportspeople in the United Arab Emirates Footballers from Goiânia
https://en.wikipedia.org/wiki/Daouda%20Toure
Daouda Toure (born 30 April 2000) is a Malian footballer who last played for Al Dhafra. Career statistics Club Notes References 2000 births Living people Malian men's footballers Malian expatriate men's footballers Men's association football midfielders UAE Pro League players UAE First Division League players FC Pyunik players Al Dhafra FC players Al Urooba Club players Emirates Club players Expatriate men's footballers in Armenia Malian expatriate sportspeople in Armenia Expatriate men's footballers in the United Arab Emirates Malian expatriate sportspeople in the United Arab Emirates Footballers from Bamako 21st-century Malian people
https://en.wikipedia.org/wiki/Gabriel%20Valentini
Gabriel Valentini da Silva (born 26 September 2000), commonly known as Gabriel Valentini, is a Brazilian footballer who plays for Al Arabi as a midfielder. Career statistics Club Notes References 2000 births Living people Brazilian men's footballers Men's association football midfielders Campeonato Brasileiro Série B players UAE Pro League players UAE First Division League players Esporte Clube Juventude players Al-Nasr SC (Dubai) players Dibba Al Fujairah FC players Al-Arabi SC (UAE) players Expatriate men's footballers in the United Arab Emirates Brazilian expatriate sportspeople in the United Arab Emirates
https://en.wikipedia.org/wiki/Idriss%20Mzaouiyani
Idriss Mzaouiyani (born 15 January 2000) is a French professional footballer who plays as a midfielder. Career statistics References 2000 births Living people French men's footballers French expatriate men's footballers Men's association football midfielders Championnat National 2 players UAE Pro League players UAE First Division League players Al Ain FC players Al Dhafra FC players Fujairah FC players Masfout Club players Expatriate men's footballers in the United Arab Emirates French expatriate sportspeople in the United Arab Emirates
https://en.wikipedia.org/wiki/Matheus%20da%20Silva
Matheus Avelino da Silva (born 29 December 2000) is a Brazilian footballer who currently plays as a midfielder. Career statistics Club Notes References External links 2000 births Living people Brazilian men's footballers Brazilian expatriate men's footballers Men's association football midfielders UAE Pro League players UAE First Division League players Nacional Atlético Clube (SP) players Al Wasl F.C. players Al-Arabi SC (UAE) players Dibba Al-Hisn Sports Club players Expatriate men's footballers in the United Arab Emirates Brazilian expatriate sportspeople in the United Arab Emirates
https://en.wikipedia.org/wiki/Saile%20Souza
Saile Samuel da Silva Souza (born 14 September 2000), commonly known as Saile Souza is a Brazilian footballer who currently plays for Baniyas. Career statistics Club Notes References External links 2000 births Living people Brazilian men's footballers Men's association football midfielders Campeonato Brasileiro Série C players Campeonato Brasileiro Série D players UAE Pro League players Joinville Esporte Clube players Baniyas Club players Expatriate men's footballers in the United Arab Emirates Brazilian expatriate sportspeople in the United Arab Emirates
https://en.wikipedia.org/wiki/Jo%C3%A3o%20Victor%20%28footballer%2C%20born%202000%29
João Victor Lucas Wesner (born 23 March 2000) is a Brazilian footballer who currently plays for Baniyas. Career statistics Club Notes References External links 2000 births Living people Brazilian men's footballers Men's association football defenders UAE Pro League players Esporte Clube Cruzeiro players Baniyas Club players Expatriate men's footballers in the United Arab Emirates Brazilian expatriate sportspeople in the United Arab Emirates
https://en.wikipedia.org/wiki/Dudu%20%28footballer%2C%20born%202000%29
Eduardo Voltan da Silva (born 29 November 2000), known as Dudu, is a Brazilian footballer who currently plays for Vitória da Conquista. Career statistics Club Notes References 2000 births Living people Brazilian men's footballers Brazilian expatriate men's footballers Men's association football midfielders UAE Pro League players Campeonato Brasileiro Série D players São Bernardo Futebol Clube players Al Wahda FC players Esporte Clube Primeiro Passo Vitória da Conquista players Expatriate men's footballers in the United Arab Emirates Brazilian expatriate sportspeople in the United Arab Emirates
https://en.wikipedia.org/wiki/Rolf%20Rannacher
Rolf Rannacher (born 10 June 1948 in Leipzig) is a German mathematician and a professor of numerical analysis at Heidelberg University. Rannacher studied mathematics and physics at the Goethe University Frankfurt. There he received his doctorate in 1974 with dissertation Diskrete Störungstheorie für das Punktsystem linearer Operatoren und Sesquilinearformen mit Anwendungen auf Operatoren vom Schrödinger Typ (Discrete perturbation theory for the point system of linear operators and sesquilinear forms with applications to operators of the Schrödinger type). From 1974 to 1980 he was an assistant to at the University of Bonn, where he habilitated in 1978 and after habilitation spent a year at the University of Michigan. He was from 1980 to 1983 a professor at the University of Erlangen–Nuremberg and from 1983 to 1988 a professor at Saarland University. Since 1988 he is a professor in Heidelberg. His research focuses on the numerical analysis of the finite element method (FEM) in partial differential equations (PDEs) based on functional analytic methods, for example, error estimation in the -norm for FEM approximation in elliptic boundary value problems. His research also deals with numerical fluid mechanics, including high-performance computer software development with his long-time collaborator John Haywood. In the 1990s Rannacher dealt with adaptive mesh refinement in solving optimal control problems, often in collaboration with Claes Johnson and Endre Süli. At Heidelberg's Interdisziplinären Zentrum für Wissenschaftliches Rechnen (acronym IWR, Interdisciplinary Center for Scientific Computing), Rannacher was, in the early 1990s, one of the pioneers in the development of parallel computer algorithms for transputers. He was an Invited Speaker at the International Congress of Mathematicians (ICM) in Berlin in 1998 and at the ICM in Beijing in 2002. In 2009 he was made an honorary doctor of the University of Erlangen-Nuremberg. Selected publications with Wolfgang Bangerth: Adaptive finite element methods for differential equations, Birkhäuser 2003; 2013 pbk reprint as editor with Georg Bader, Gabriel Wittum: Numerische Algorithmen auf Transputer-Systemen, Teubner/Vieweg 1993; 2013 pbk reprint as editor with Willi Jäger, Jürgen Warnatz: Reactive Flows, Diffusion and Transport: From Experiments via Mathematical Modeling to Numerical Simulation and Optimization. Final Report SFB 359, Springer 2006 (The SFB # 359 was funded from 1993 to 2004.) as editor with others: Trends in PDE Constrained Optimization, Birkhäuser 2014 as editor with others: Constrained Optimization and Optimal Control for Partial Differential Equations, Birkhäuser 2012 as editor with Wolfgang Hackbusch: Numerical Treatment of the Navier-Stokes Equations (Notes on Numerical Fluid Mechanics), Vieweg 1990 as editor with Guido Kanschat et al.: Numerical Methods in Multidimensional Radiative Transfer, Springer 2009 as editor with Giovanni Galdi: Fundamental Trends in Fluid-St
https://en.wikipedia.org/wiki/Alassane%20Meite
Alassane Meite (born 9 June 2000) is a French footballer who currently plays as a forward . Career statistics Club Notes References 2000 births Living people French men's footballers Men's association football forwards UAE Pro League players Paris Saint-Germain F.C. players Leicester City F.C. players Fujairah FC players Expatriate men's footballers in England French expatriate sportspeople in England Expatriate men's footballers in the United Arab Emirates French expatriate sportspeople in the United Arab Emirates
https://en.wikipedia.org/wiki/Marcus%20Meloni
Marcus Vinicius Barbosa Meloni (born 25 June 2000) is a Brazilian footballer who currently plays for Sharjah. Career statistics Club Career Stats References External links 2000 births Living people Brazilian men's footballers Brazilian expatriate men's footballers Men's association football defenders UAE Pro League players Sociedade Esportiva Palmeiras players Sharjah FC players Expatriate men's footballers in the United Arab Emirates Brazilian expatriate sportspeople in the United Arab Emirates Footballers from São Paulo
https://en.wikipedia.org/wiki/Resende%20%28footballer%29
Rafael dos Santos Resende (born 5 March 2000), commonly known as Rafael Resende, is a Brazilian footballer who currently plays for Auda. Career statistics Club Notes References 2000 births Living people Brazilian men's footballers Brazilian expatriate men's footballers Men's association football midfielders UAE Pro League players Latvian Higher League players Fluminense FC players Sharjah FC players Khor Fakkan Club players Al Bataeh Club players FK Auda players Expatriate men's footballers in the United Arab Emirates Expatriate men's footballers in Latvia Brazilian expatriate sportspeople in the United Arab Emirates Brazilian expatriate sportspeople in Latvia
https://en.wikipedia.org/wiki/Andrija%20Radovanovi%C4%87
Andrija Radovanovic (born 31 may 2001) is a Serbian footballer who plays as a midfielder for Masafi. Career statistics Club Notes References External links 2001 births Living people Serbian men's footballers Serbian expatriate men's footballers Men's association football midfielders UAE Pro League players UAE First Division League players NK Domžale players Al Ain FC players Ittihad Kalba FC players Hatta Club players Masafi Club players Expatriate men's footballers in the United Arab Emirates Serbian expatriate sportspeople in the United Arab Emirates Footballers from Belgrade
https://en.wikipedia.org/wiki/Anna%20Mazzucato
Anna Laura Mazzucato is a professor of mathematics, distinguished senior scholar, and associate head of the mathematics department at Pennsylvania State University. Her mathematical research involves functional analysis, function spaces, partial differential equations, and their applications in fluid mechanics and elasticity. Education and career Mazzucato earned a master's degree in physics in 1994 from the University of Milan, with a thesis on topological quantum field theory under the supervision of Paolo Cotta-Ramusino. However, during her studies she decided that she preferred the mathematics that she was studying to the physics, and took the advice of Cotta-Ramusino to switch to mathematics for her doctoral studies. She went to the University of North Carolina at Chapel Hill for doctoral study, initially planning to work in quantum cohomology, but switched to functional analysis with Michael E. Taylor as her doctoral advisor. Her dissertation was Analysis of the Navier-Stokes and Other Nonlinear Evolution Equations with Initial Data in Besov-Type Spaces; it studied the Navier–Stokes equations and other nonlinear partial differential equations. After postdoctoral research at the Mathematical Sciences Research Institute (supported by a Liftoff Fellowship from the Clay Mathematics Institute) and the Institute for Mathematics and its Applications, and a term as Gibbs Instructor at Yale University, she became an assistant professor at Pennsylvania State University in 2003. She was promoted to full professor there in 2013. Recognition Mazzucato was the winner of the Ruth I. Michler Memorial Prize of the Association for Women in Mathematics for 2011–2012, which she used to fund a research visit to Cornell University. At Cornell, she gave the Michler Lecture on "The Analysis of Incompressible Fluids at High Reynolds Numbers". She was named a SIAM Fellow in the 2021 class of fellows, "for discerning analysis of fundamental problems in partial differential equations and mathematical fluid mechanics including boundary layers, transport, and mixing". References Year of birth missing (living people) Living people 21st-century American mathematicians American women mathematicians Italian mathematicians Italian women mathematicians University of Milan alumni University of North Carolina at Chapel Hill alumni Yale University faculty Pennsylvania State University faculty Fellows of the Society for Industrial and Applied Mathematics 21st-century American women
https://en.wikipedia.org/wiki/Ruth%20I.%20Michler%20Memorial%20Prize
The Ruth I. Michler Memorial Prize is an annual prize in mathematics, awarded by the Association for Women in Mathematics to honor outstanding research by a female mathematician who has recently earned tenure. The prize funds the winner to spend a semester as a visiting faculty member at Cornell University, working with the faculty there and presenting a distinguished lecture on their research. It is named after Ruth I. Michler (1967–2000), a German-American mathematician born at Cornell, who died young in a construction accident. The award was first offered in 2007. Its winners and their lectures have included: Rebecca Goldin (2007), "The Geometry of Polygons" Irina Mitrea (2008), "Boundary-Value Problems for Higher-Order Elliptic Operators" Maria Gordina (2009), "Lie's Third Theorem in Infinite Dimensions" Patricia Hersh (2010), "Regular CS Complexes, Total Positivity and Bruhat Order" Anna Mazzucato (2011), "The Analysis of Incompressible Fluids at High Reynolds Numbers" Ling Long (2012), "Atkin and Swinnerton-Dyer Congruences" Megumi Harada (2013), "Newton-Okounkov bodies and integrable systems" Sema Salur (2014), "Manifolds with G2 structure and beyond" Malabika Pramanik (2015), "Needles, Bushes, Hairbrushes, and Polynomials" Pallavi Dani (2016), "Large-scale geometry of right-angled Coxeter groups" Julia Gordon (2017), "Wilkie's theorem and (ineffective) uniform bounds" Julie Bergner (2018), "2-Segal structures and the Waldhausen S-construction" Anna Skripka (2019), "Untangling noncommutativity with operator integrals" Shabnam Akhtari (2021), "Representation of integers by binary forms" Emily E. Witt (2022), "Local cohomology: An algebraic tool capturing geometric data" See also List of awards honoring women List of mathematics awards References Awards established in 2007 Awards and prizes of the Association for Women in Mathematics 2007 establishments in New York (state) Cornell University Awards honoring women Science lecture series
https://en.wikipedia.org/wiki/Siyannu
Siyannu () is a Syrian village in Jableh District in Latakia Governorate. According to the Syria Central Bureau of Statistics (CBS), Siyannu had a population of 4,784 in the 2004 census. History Siyannu, which was also known as Ušnatu, was part of Ugarit, before having its independence and becoming a border region with Amrit during the reign of the Hittite King Muršili II. Siyannu/Shianu, led by King Adunu Baal, took part in the Battle of Qarqar against the invading Assyrians. Nahr as-Sinn was also called "Siyannu" which marked the southern borders of Ugarit. References Alawite communities in Syria Populated places in Jableh District Ugarit
https://en.wikipedia.org/wiki/George%20Gheverghese%20Joseph
George Gheverghese Joseph, also known as G. G. Joseph is an Indian-born African mathematician who is a specialist in the history of mathematics. His works are mainly focused on the achievements of Kerala school of astronomy and mathematics and the transmission of mathematics from India to Europe. Early life and works George Gheverghese Joseph was born in Kerala, India. At the age of 9, his family moved to Mombasa, Kenya and he pursued his schooling in Kenya. He completed his degree in mathematics at the University of Leicester. After completing his degree, he worked as a school teacher for six years in Kenya and, then he did a master's degree at the University of Manchester, England. He qualified in Law in 2000. G. G. Joseph studied and conducted researches in applied mathematics and statistics, including multivariate analysis, mathematical programming, and demography. He is conducting three-month research on the history of mathematics in his native place every year. Through his series of researches, he claimed that the infinite series was invented by Kerala mathematicians in 1350, before Europeans. Bibliography The Crest of the Peacock: Non-European Roots of Mathematics, Princeton University Press, 1991. A Passage to Infinity: Medieval Indian Mathematics from Kerala and its Impact, 2009. Kerala Mathematics: History and Its Possible Transmission to Europe, 2009. Multicultural Mathematics: Teaching Mathematics from a Global Perspective (with David Nelson and Julian Williams), 1993. Women at Work: The British Experience, 1983. References A Passage to Infinity The Crest of the Peacock Living people Year of birth missing (living people) Indian mathematicians African mathematicians History of mathematics Scientists from Kerala Alumni of the University of Leicester Alumni of the University of Manchester Indian emigrants to Kenya
https://en.wikipedia.org/wiki/Ronald%20Fintushel
Ronald Alan Fintushel (born 1945) is an American mathematician, specializing in low-dimensional geometric topology (specifically of 4-manifolds) and the mathematics of gauge theory. Education and career Fintushel studied mathematics at Columbia University with a bachelor's degree in 1967 and at the University of Illinois at Urbana–Champaign with a master's degree in 1969. In 1975 he received his Ph.D. from the State University of New York at Binghamton with thesis Orbit maps of local -actions on manifolds of dimension less than five under the supervision of Louis McAuley. Fintushel was a professor at Tulane University and is a professor at Michigan State University. His research deals with geometric topology, in particular of 4-manifolds (including the computation of Donaldson and Seiberg-Witten invariants) with links to gauge theory, knot theory, and symplectic geometry. He works closely with Ronald J. Stern. In 1998 he was an Invited Speaker, with Ronald J. Stern, with talk Construction of smooth 4-manifolds at the International Congress of Mathematicians in Berlin. In 1997 Fintushel received the Distinguished Faculty Award from Michigan State University. In 2016 a conference was held in his honor at Tulane University. He was elected a Fellow of the American Mathematical Society. Fintushel is a member of the editorial boards of Geometry & Topology and the Michigan Mathematical Journal. Selected publications with Stern: Constructing lens spaces by surgery on knots, Mathematische Zeitschrift, vol. 175, 1980, pp. 33–51 with Stern: An exotic free involution of , Annals of Mathematics, vol. 113, 1981, pp. 357–365 with Stern: Pseudofree orbifolds, Annals of Mathematics, vol. 122, 1985, pp. 335–364 with Stern: Instanton homology of Seifert fibred homology three spheres, Proceedings of the London Mathematical Society, vol. 61, 1990, pp. 109–137 with Stern: Immersed spheres in 4-manifolds and the immersed Thom conjecture, Turkish Journal of Mathematics, vol. 19, 1995, pp. 145–157 with Stern: Donaldson invariants of 4-manifolds with simple type, J. Diff. Geom., vol. 42, 1995, pp. 577–633 with Stern: The blowup formula for Donaldson invariants, Annals of Mathematics, vol. 143, 1996, pp. 529–546 arXiv with Stern: Rational blowdowns of smooth 4-manifolds, Journal of Differential Geometry, vol. 46, 1997, pp. 181–235 arXiv with Stern: Surfaces in 4-manifolds, Math. Res. Letters, vol. 4, 1997, pp. 907–914 arXiv with Stern: Knots, links, and 4-manifolds, Inventiones mathematicae, vol. 134, 1998, pp. 363–400, arXiv with Stern: Constructions of smooth 4-manifolds. Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998). Doc. Math. 1998, Extra Vol. II, 443–452 with Stern: Symplectic surfaces in a fixed homology class, J. Diff. Geom., vol. 52, 2000, pp. 203–222 with Stern: Families of simply connected 4-manifolds with the same Seiberg-Witten invariants, Topology, vol. 43, 2004, pp. 1449–1467 with Stern: Invariants for Lagrangian
https://en.wikipedia.org/wiki/%C3%81ngel%20Torres%20%28footballer%2C%20born%202000%29
Ángel Yesid Torres Quiñones (born 6 April 2000) is a Colombian professional footballer who plays for A-League side Central Coast Mariners as a winger. Career statistics Club Notes References 2000 births Living people Footballers from Bogotá Colombian men's footballers Men's association football midfielders FC Porto players FC Porto B players Central Coast Mariners FC players Liga Portugal 2 players
https://en.wikipedia.org/wiki/Sylvestre%20Gallot
Sylvestre F. L. Gallot (born January 29, 1948 in Bazoches-lès-Bray) is a French mathematician, specializing in differential geometry. He is an emeritus professor at the Institut Fourier of the Université Grenoble Alpes, in the Geometry and Topology section. Education and career Sylvestre Gallot received his doctorate from Paris Diderot University (Paris 7) with thesis under the direction of Marcel Berger. Gallot worked during the early 1980s at the University of Savoie, then at the École Normale Supérieure de Lyon and the University of Grenoble (Institut Fourier). His research deals with isoperimetric inequalities in Riemann geometry, rigidity issues, and the Laplace operator spectrum on Riemannian manifolds. With Gérard Besson and Pierre Bérard, he discovered, in 1985, a form of isoperimetric inequality in Riemannian manifolds with a lower bound involving the diameter and Ricci curvature. In 1995, he discovered with Gérard Besson and Gilles Courtois, a Chebyshev inequality for the minimal entropy of locally symmetrical spaces of negative curvature; the inequality gives a new and simpler proof of the Mostow rigidity theorem. The result of Besson, Courtois, and Gallo is called minimal entropy rigidity. In 1998 he was an invited speaker with talk Curvature decreasing maps are volume decreasing at the International Congress of Mathematicians in Berlin. Selected publications with Dominique Hulin, Jacques Lafontaine Riemannian Geometry, Universitext, Springer Verlag, 3rd edition 2004 with Daniel Meyer Opérateur de courbure et laplacien des formes différentielles d´une variété riemannienne, J. Math. Pures Appliqués, 54, 1975, 259-284 Inégalités isopérimétriques, courbure de Ricci et invariants géométriques, 1,2, C. R. Acad. Sci., 296, 1983, 333-336, 365-368 Inégalités isopérimétriques et analytiques sur les variétés riemanniennes, Astérisque 163/164, 1988, 33-91 with Pierre Bérard, Gérard Besson Sur une inégalité isopérimétrique qui généralise celle de Paul Lévy-Gromov, Inventiones Mathematicae, vol. 80, 1985, pp. 295–308 with G. Besson, P. Bérard Embedding Riemannian manifolds by their heat kernel, Geometric Functional Analysis (GAFA), 4, 1994, pp. 373–398 with G. Besson, G. Courtois Volume et entropie minimale des espaces localement symétriques, Inventiones Mathematicae, 103, 1991, pp. 417–445 with G. Besson, G. Courtois: Les variétés hyperboliques sont des minima locaux de l’entropie topologique, Inventiones Mathematicae 177, 1994, pp. 403–445 with G. Besson G. Courtois: Volume et entropie minimales des variétés localement symétriques, GAFA 5, 1995, pp. 731–799 with G. Besson, G. Courtois: Minimal entropy and Mostow’s rigidity theorems, Ergodic Theory and Dynamical Systems, 16, 1996, pp. 623–649 Volumes, courbure de Ricci et convergence des variétés, d'après Tobias Colding et Cheeger-Colding, Séminaire Bourbaki 835, 1997/98 References 1948 births Living people 20th-century French mathematicians 21st-century French mathematicians Differenti
https://en.wikipedia.org/wiki/Joan%20Weiner
Joan Weiner is an American philosopher and professor emerita of philosophy at Indiana University Bloomington, known for her books on Gottlob Frege. Education and career Weiner majored in mathematics at the University of Michigan, graduating with high distinction and honors in 1975. She completed a Ph.D. in philosophy at Harvard University in 1982. She became an assistant professor of philosophy at the University of Wisconsin–Milwaukee in 1981, with terms as a visiting faculty member at the University of Pennsylvania and a postdoctoral researcher at the University of Pittsburgh. She was promoted to associate professor at the University of Wisconsin-Milwaukee in 1988 and full professor in 1997, while also earning a master's degree in biostatistics from the Medical College of Wisconsin in 1993. In 2002 she moved to Indiana University Bloomington, and in 2019 she retired as a professor emerita. Books Weiner is the author of: Frege in Perspective (Cornell University Press, 1990) Frege (Past Masters, Oxford University Press, 1999), revised and expanded as Frege Explained: From Arithmetic To Analytic Philosophy (Open Court Press, 2004) Taking Frege At His Word (Oxford University Press, 2020) Recognition Weiner was named a Guggenheim Fellow in 2000. References Further reading Year of birth missing (living people) Living people American women philosophers University of Michigan alumni Harvard Graduate School of Arts and Sciences alumni University of Wisconsin–Madison alumni University of Wisconsin–Madison faculty Indiana University Bloomington faculty 21st-century American women
https://en.wikipedia.org/wiki/Gian%20Michele%20Graf
Gian Michele Graf (born 14 July 1962) is a Swiss mathematical physicist. Graf studied physics and mathematics at ETH Zurich, where he graduated in 1986 with Diplom thesis supervised by Jürg Fröhlich and received his doctorate in 1990 with thesis supervised by Walter Hunziker (1935–2012) . From 1990 to 1992 Graf was an assistant professor of mathematics at Caltech. At ETH Zurich he was from 1992 to 1998 an assistant professor and from 1998 to 2001 an associate professor and is since 2001 a full professor. He was at the Institute for Advanced Study in 1996 and in 2002. He has been a visiting researcher in six different countries. Graf's research deals with fundamental thermodynamic properties of matter (especially questions related to the problem of the "stability of matter" mathematically investigated by Elliott Lieb and others), many-body scattering processes in quantum mechanics, quantum pumps and various problems of solid-state physics such as the quantum Hall effect and topological insulators. He was a plenary speaker at the 10th International Congress on Mathematical Physics (ICMP) in Leipzig in 1991 and an invited speaker at the 14th ICMP in Lisbon in 2003. In 1992 he was a Sloan Fellow. He was an invited speaker of the International Congress of Mathematicians (ICM) in 1998 in Berlin and of the ICM in 2006 in Madrid. Graf is a Swiss Bürger of Lugano and Rebstein. Selected publications References 1962 births Living people Swiss physicists Sloan Research Fellows Theoretical physicists ETH Zurich alumni Academic staff of ETH Zurich
https://en.wikipedia.org/wiki/William%20Oliveira%20%28footballer%2C%20born%201992%29
William Oliveira dos Santos (born 25 February 1992), known as William Oliveira, is a Brazilian footballer who plays for CSA, on loan from Ceará as a centre midfielder. Career statistics Honours Ceará Copa do Nordeste: 2020 References External links 1992 births Living people Brazilian men's footballers Men's association football midfielders Campeonato Brasileiro Série A players Campeonato Brasileiro Série B players Campeonato Brasileiro Série D players Centro Educativo Recreativo Associação Atlética São Mateus players Madureira Esporte Clube players CR Vasco da Gama players Bangu Atlético Clube players Sampaio Corrêa Futebol Clube players Ceará Sporting Club players Sport Club do Recife players People from Paracambi Footballers from Rio de Janeiro (state)
https://en.wikipedia.org/wiki/Takumi%20Hama
is a Japanese footballer currently playing as a midfielder for Azul Claro Numazu. Career statistics Club . Notes References External links 1996 births Living people People from Yaizu, Shizuoka Association football people from Shizuoka Prefecture Japanese men's footballers Men's association football midfielders J3 League players Azul Claro Numazu players
https://en.wikipedia.org/wiki/Hiroshi%20Yoshinaga
is a Japanese footballer currently playing as a midfielder for Fukushima United. Career statistics Club ''Updated to January 1st, 2022. Notes References External links 1996 births Living people People from Takasaki, Gunma Sportspeople from Gunma Prefecture Association football people from Gunma Prefecture Nihon University alumni Japanese men's footballers Men's association football midfielders J3 League players Fukushima United FC players
https://en.wikipedia.org/wiki/Kotaro%20Iba
is a Japanese footballer currently playing as a goalkeeper for Iwate Grulla Morioka. Career statistics Club . Notes References External links 1995 births Living people Japanese men's footballers Men's association football goalkeepers J3 League players Montedio Yamagata players Iwate Grulla Morioka players
https://en.wikipedia.org/wiki/Kenta%20Sawada
is a Japanese footballer currently playing as a midfielder for Kamatamare Sanuki. Career statistics Club . Notes References External links 2000 births Living people Japanese men's footballers Men's association football midfielders J3 League players Kamatamare Sanuki players
https://en.wikipedia.org/wiki/Cartopology
Cartopology is an academic and artistic discipline that aims to combine anthropological methods with cartographic ways to translate experiences and insights of architectural spaces into maps. The knowledge that these maps create is mainly used by policy makers in the field of regional development, city planning or cross-border cooperation. Occasionally, cartopological maps are displayed in art exhibitions about design or spatial planning. Theoretical background The term 'cartopology' was first coined by Dear Hunter and the 'Institute of Cartopology' around 2018. However, the actual practice of doing cartopological research is known to be done in the sixteenth century. Early modern cartographers drew all kinds of scenes on the maps that displayed their own cultural or geographical background and political position. Arguably, Alexander von Humboldt is the last explorer that worked with cartopology to study and express his findings. According to the German historian Karl Schlögel, “Alexander von Humboldt is a late embodiment of a knowledge that unites much that would soon grow apart: disciplines such as mineralogy, geography, ethnology, linguistics, botany, zoology, and history; genres such as statistics, geodesy, the registration and recording of all he found in a land, the dense description of situation, and the historical study; and forms of organization - he was a scientist as well as an entrepreneur and manager of science.” Von Humboldt used his drawing skills and his scientific intellect to create a multi-layered piece of information that could not be retrieved from a merely written scientific paper or factual map of the kind we know today. "Humboldt's major scientific contribution was realizing the interconnectedness of climate, geography, nature, and human societies. (...) By creating visualizations of data that had previously been bound up in tables, Humboldt revealed connections that had eluded others." This new understanding of the world should not be seen as a linear piece of information, but rather as a circular and interconnected story. Most current day cartographers however, aim to represent the world in a mere lineal, physical manner. More intimate information based on experiences of the place are therefore left out of the map. In cartopology, this anthropological and ethnographic information is central to the map making process. In this sense, cartopology in the 21st century use of the term, strongly builds on the work of Tim Ingold and Stefan Hirschauer. The former developed an idea around thinking through making. The latter explained how hidden knowledge can be discovered, transferred and modelled into space and time on maps effectively. Current use Policy advice Cartopological research is often carried out at the request of local governments or policy makers who are interested in the way the space that they designed is actually being used. The most important benefit of this type of research, is the fact that it relates dir
https://en.wikipedia.org/wiki/Helmut%20Schwichtenberg
Helmut Schwichtenberg (born 5 April 1942 in Żagań) is a German mathematical logician. Schwichtenberg studied mathematics from 1961 at the FU Berlin and from 1964 at the University of Münster, where he received his doctorate in 1968 from Dieter Rödding. He then worked as an assistant and then as a professor in Münster, and since 1978 has been professor of mathematical logic at the Ludwig-Maximilians-Universität Munich (successor of Kurt Schütte). Schwichtenberg deals with, among other things, proof theory, theory of computability, lambda calculus and applications of logic in computer science. He is a member of the Bavarian Academy of Sciences. Selected publications (2nd edition 2000: ) References External links Homepage at Ludwig-Maximilians-Universität Munich German logicians 1942 births University of Münster alumni Living people Free University of Berlin alumni Ludwig Maximilian University of Munich alumni
https://en.wikipedia.org/wiki/2019%E2%80%9320%20Adelaide%20United%20FC%20%28W-League%29%20season
The 2019–20 season is Adelaide United Women's 12th season in the W-League. Players Transfers Transfers in Loans in Transfers out Loans out Squad statistics Appearances and goals {| class="wikitable sortable plainrowheaders" style="text-align:center" |- ! rowspan="2" | ! rowspan="2" | ! rowspan="2" style="width:180px;" |Name ! colspan="2" style="width:87px;" |W-League ! colspan="2" style="width:87px;" |Total |- |1 |GK ! scope="row" | Sarah Willacy |0 |0 !0 !0 |- |2 |DF ! scope="row" | Emily Hodgson |0 |0 !0 !0 |- |3 |DF ! scope="row" | Charlotte Grant |0 |0 !0 !0 |- |4 |DF ! scope="row" | Georgia Iannella |0 |0 !0 !0 |- |6 |DF ! scope="row" | Georgia Campagnale |0 |0 !0 !0 |- |7 |FW ! scope="row" | Isabel Hodgson |0 |0 !0 !0 |- |8 |MF ! scope="row" | Emily Condon |0 |0 !0 !0 |- |10 |MF ! scope="row" | Chelsie Dawber |0 |0 !0 !0 |- |11 |DF ! scope="row" | Laura Johns |0 |0 !0 !0 |- |14 |MF ! scope="row" | Grace Abbey |0 |0 !0 !0 |- |17 |DF ! scope="row" | Kahlia Hogg |0 |0 !0 !0 |- |20 |GK ! scope="row" | Sian McLaren |0 |0 !0 !0 |- |23 |FW ! scope="row" | Michelle Heyman |0 |0 !0 !0 |- |30 |GK ! scope="row" | Evelyn Goldsmith |0 |0 !0 !0 |- |— |MF ! scope="row" | Ciara Fowler |0 |0 !0 !0 |- |— |FW ! scope="row" | Mary Fowler |0 |0 !0 !0 |- |— |FW ! scope="row" | Mallory Weber |0 |0 !0 !0 |} Competitions Overview {|class="wikitable" style="text-align:left" |- !rowspan=2 style="width:140px;"|Competition !colspan=8|Record |- !style="width:40px;"| !style="width:40px;"| !style="width:40px;"| !style="width:40px;"| !style="width:40px;"| !style="width:40px;"| !style="width:40px;"| !style="width:70px;"| |- |W-League |- !Total W-League League table Results by round Matches References Adelaide United FC (A-League Women) seasons
https://en.wikipedia.org/wiki/Daisuke%20Ando
is a Japanese footballer. Career statistics Club . Notes References External links 1991 births Living people Association football people from Shizuoka (city) Aichi Gakuin University alumni Japanese men's footballers Japanese expatriate men's footballers Men's association football forwards J3 League players Fujieda MYFC players Japanese expatriate sportspeople in Germany Expatriate men's footballers in Germany
https://en.wikipedia.org/wiki/Rachel%20Roberts%20%28mathematician%29
Rachel Roberts is an American mathematician specializing in low-dimensional topology, including foliations and contact geometry. She is the Elinor Anheuser Professor of Mathematics at Washington University in St. Louis. Roberts completed her Ph.D. at Cornell University in 1992. Her dissertation, supervised by Allen Hatcher, was Constructing Taut Foliations. Publications References External links Home page Year of birth missing (living people) Living people 21st-century American mathematicians American women mathematicians Washington University in St. Louis faculty Washington University in St. Louis mathematicians Topologists Cornell University alumni 21st-century American women
https://en.wikipedia.org/wiki/Karen%20Rhea
Karen Rhea is an American mathematics educator, a Collegiate Lecturer Emerita in the mathematics department of the University of Michigan. Before joining the University of Michigan faculty, she was on the faculty at the University of Southern Mississippi. Contributions With Andrew M. Gleason, Deborah Hughes Hallett and others, Rhea is a co-author of several calculus textbooks produced by the Harvard Calculus Consortium. She is also a proponent of flipped classrooms for calculus instruction. Recognition In 1998, the Louisiana–Mississippi section of the Mathematical Association of America gave Rhea its Award for Distinguished College or University Teaching of Mathematics. In 2011, Rhea won the Deborah and Franklin Haimo Awards for Distinguished College or University Teaching of Mathematics, the highest teaching award of the Mathematical Association of America. The award citation credited her work at Michigan, directing the annual 4500-student calculus sequence and preparing instructors for the sequence, as well as her work in national-level education in the Harvard Calculus Consortium. In honor of Rhea's teaching, the University of Michigan's department of mathematics offers an annual award: the Karen Rhea Excellence in Teaching Award, for outstanding performance by its graduate student instructors. References Year of birth missing (living people) Living people 20th-century American mathematicians 21st-century American mathematicians American women mathematicians University of Southern Mississippi faculty University of Michigan faculty 20th-century American women 21st-century American women
https://en.wikipedia.org/wiki/Jennifer%20Switkes
Jennifer Switkes is a Canadian-American applied mathematician interested in mathematical modeling and operations research, and also known for her volunteer work teaching mathematics in prisons. She is an associate professor of mathematics at California State Polytechnic University, Pomona (Cal Poly Pomona), where she is associate chair of the mathematics department. Early life and education Switkes was born in Canada but moved as a child to Northern California. She is a 1994 graduate of Harvey Mudd College, where she completed a double major in mathematics and physics as well as earning credits towards a teaching credential. However, her experience as a student teacher at a middle school convinced her that she was not fully prepared to continue as a teacher, and she returned to graduate school instead. Her doctoral research at Claremont Graduate University concerned mathematical biology, and more specifically mosaic coevolution; her 2000 dissertation, The Geographic Mosaic Theory in Relation to Coevolutionary Interactions, was jointly supervised by Michael E. Moody and John Angus. Career and volunteer work Switkes was an instructor at Citrus College and the University of Redlands before becoming a mathematics professor at Cal Poly Pomona in 2001. There, she is known for her project-based education of students, centered around real-world applications of mathematical modeling. Switkes volunteers as an associate pastor at the Orange Coast Free Methodist Church in Costa Mesa, California, and as a mathematics teacher with the Prison Education Project. She has taught mathematics to prison inmates both at the California Rehabilitation Center in Norco, California and in Uganda, where she has traveled repeatedly on church missions, on a 2013 sabbatical visit to Makerere University and on a shorter 2015 visit to teach at the Luzira Maximum Security Prison. As inspiration for her volunteer work she cites a book by Bob Moses, Radical Equations—Civil Rights from Mississippi to the Algebra Project, on the importance of mathematical literacy in escaping underprivileged circumstances. Recognition Switkes was one of the winners of the 2015 Inspiring Women in STEM Award of Insight Into Diversity Magazine. In 2019, Switkes won the Deborah and Franklin Haimo Awards for Distinguished College or University Teaching of Mathematics, the highest teaching award of the Mathematical Association of America, "for bringing her educational core values of excellence, honor, integrity, love, and purpose to all students, and specifically to traditionally underserved students". The award recognized both her prison volunteer work and her mentorship of undergraduate and master's students at Cal Poly Pomona. She was also honored as an outstanding alumna of Harvey Mudd College in 2019. References Year of birth missing (living people) Living people 21st-century American mathematicians American women mathematicians Canadian mathematicians Canadian women mathematicians Applied math
https://en.wikipedia.org/wiki/Eric%20M.%20Opdam
Eric Marcus Opdam (born 1960) is a Dutch mathematician, specializing in algebra and harmonic analysis. He is one of the two namesakes of Heckman–Opdam polynomials. Opdam received his PhD from Leiden University in 1988 under the supervision of Gerrit van Dijk. Opdam is a professor at the University of Amsterdam. He has been at the Korteweg-de Vries Institute for Mathematics (KdVI) since 1999. From 2015 he is the KdVI's director as the successor to Jan Wiegerinck. Opdam's research deals with analytic aspects of Iwahori–Hecke algebras, with hypergeometric functions associated with Lie algebra root systems (Heckman-Opdam hypergeometric functions), and with Dunkl operators on complex reflection groups. Opdam was an invited speaker in 2000 with talk Hecke algebras and harmonic analysis at the European Congress of Mathematics in Barcelona. In 2006 he was an invited speaker at International Congress of Mathematicians in Madrid. He was elected a member of the Royal Netherlands Academy of Arts and Sciences in 2012. In 2010 he received an Advanced Grant from the European Research Council (ERC). He is one of four managing editors of Compositio Mathematica. References 1960 births Living people 20th-century Dutch mathematicians 21st-century Dutch mathematicians Leiden University alumni Members of the Royal Netherlands Academy of Arts and Sciences Academic staff of the University of Amsterdam
https://en.wikipedia.org/wiki/Wang%20Xinyu%20%28footballer%29
is a Chinese footballer who plays as a goalkeeper. Career statistics Club . Notes References External links 2001 births Living people Chinese men's footballers Men's association football goalkeepers Komazawa University alumni J3 League players Gamba Osaka players Gamba Osaka U-23 players
https://en.wikipedia.org/wiki/Hiroki%20Akiyama
is a Japanese professional footballer who plays as a midfielder for J1 League club Albirex Niigata. Career statistics Club References External links 2000 births Living people Association football people from Gunma Prefecture Japanese men's footballers Men's association football midfielders J1 League players J2 League players J3 League players Albirex Niigata players Azul Claro Numazu players Kagoshima United FC players
https://en.wikipedia.org/wiki/Iwana%20Kobayashi
is a Japanese footballer currently playing as a midfielder for Ventforet Kofu of J2 League. Career statistics Club Notes References External links 1996 births Living people Japanese men's footballers Men's association football midfielders J2 League players Ventforet Kofu players
https://en.wikipedia.org/wiki/Kotaro%20Arima
is a Japanese professional footballer who plays as a forward for club Iwaki FC. Career statistics Club Notes Honours Club Iwaki FC J3 League: 2022 References External links 2000 births Living people Association football people from Ibaraki Prefecture Japanese men's footballers Men's association football midfielders J2 League players J3 League players Kashima Antlers players Tochigi SC players Iwaki FC players
https://en.wikipedia.org/wiki/Haruki%20Izawa
is a Japanese footballer currently playing as a midfielder for Giravanz Kitakyushu. Career statistics Club Notes References External links 1999 births Living people Japanese men's footballers Japan men's youth international footballers Men's association football midfielders J1 League players J2 League players J3 League players Urawa Red Diamonds players Tokushima Vortis players Kagoshima United FC players Giravanz Kitakyushu players
https://en.wikipedia.org/wiki/Alexis%20Cuello
Alexis Ricardo Cuello (born 18 February 2000) is an Argentine footballer currently playing as a forward for Club Almagro. Career statistics Club Notes References 2000 births Living people Argentine men's footballers Men's association football forwards Primera Nacional players Racing Club de Avellaneda footballers Barracas Central players Instituto Atlético Central Córdoba footballers Club Almagro players People from Avellaneda Partido Footballers from Buenos Aires Province
https://en.wikipedia.org/wiki/Bruno%20%28footballer%2C%20born%201994%29
Bruno Nogueira Barbosa (born 28 April 1994), commonly known as Bruno, is a Brazilian footballer who currently plays as a defender for Speranța Nisporeni. Career statistics Club Notes References 1994 births Living people Brazilian men's footballers Brazilian expatriate men's footballers Men's association football defenders Associação Ferroviária de Esportes players Sociedade Esportiva Recreativa e Cultural Brasil players Grêmio Esportivo Bagé players Clube Atlético Itapemirim players Speranța Nisporeni players Moldovan Super Liga players Brazilian expatriate sportspeople in Moldova Expatriate men's footballers in Moldova
https://en.wikipedia.org/wiki/Julianna%20Tymoczko
Julianna Sophia Tymoczko (born 1975) is an American mathematician whose research connects algebraic geometry and algebraic combinatorics, including representation theory, Schubert calculus, equivariant cohomology, and Hessenberg varieties. She is a professor of mathematics at Smith College. Education and career Tymoczko grew up in Western Massachusetts, and studied discrete mathematics at Smith College as a high school student. She was an undergraduate at Harvard University, and wrote a senior thesis on the homotopy groups of spheres, The -components of the stable homotopy groups of spheres, with Joe Harris and Michael J. Hopkins as faculty mentors. After graduating in 1998, she moved to Princeton University for graduate study, and completed her Ph.D. there in 2003. Her dissertation, Decomposing Hessenberg Varieties over Classical Groups, was supervised by Robert MacPherson. After being a Clay Liftoff Fellow, NSF Postdoctoral Fellow, and Hildebrandt Assistant Professor at the University of Michigan, she took a tenure-track position at the University of Iowa in 2007. In 2011 she returned to Smith College as a faculty member. She was promoted to full professor in 2019. Recognition Tymoczko was elected as a Fellow of the American Mathematical Society in the 2020 class, for "contributions to algebraic geometry and combinatorics, and for outreach and mentorship". Personal life Tymoczko is one of three children of Thomas Tymoczko, a logician and philosopher of mathematics at Smith College, and comparative literature scholar Maria Tymoczko of the University of Massachusetts Amherst. Her brother, Dmitri Tymoczko, is a music composer and music theorist. She is married to Marshall Poe, a historian at the University of Massachusetts Amherst. References Living people 1975 births 21st-century American mathematicians American women mathematicians Harvard College alumni Princeton University alumni University of Iowa faculty Smith College faculty Fellows of the American Mathematical Society Mathematicians from Massachusetts 21st-century American women
https://en.wikipedia.org/wiki/Chikako%20Mese
Chikako Mese is an American mathematician known for her work in differential geometry, geometric analysis and the theory of harmonic maps. She is a professor of mathematics at Johns Hopkins University. Education and career Mese graduated from Elk Grove High School (Elk Grove Village, Illinois) in 1987. As a softball player at Elk Grove, she broke the national record for the number of runs scored in a season, with 69 runs. Although primarily a catcher, she played in seven different positions for her team, and also tied the state record for the most walks in a season, 35. She earned a bachelor's degree in 1991 from the honors program at the University of Dayton, majoring in mathematics, and completed a Ph.D. in mathematics at Stanford University in 1996. Her dissertation, Minimal Surfaces and Conformal Mappings Into Singular Spaces, was supervised by Richard Schoen. Before joining the Johns Hopkins University faculty in 2004 as an associate professor, she held assistant professorships at the University of Southern California and Connecticut College. At Johns Hopkins, she became the first tenured female mathematician. She was promoted to full professor in 2007, and chaired the mathematics department from 2008 to 2011. Recognition In 2007, Elk Grove High School recognized Mese as a distinguished alumna. She was named a Simons Fellow by the Simons Foundation in 2017. She was elected as a Fellow of the American Mathematical Society in the 2020 Class, for "contributions to the theory of harmonic maps and their applications, and for service to the mathematical community". References External links Home page Year of birth missing (living people) Living people 20th-century American mathematicians 21st-century American mathematicians American women mathematicians Differential geometers University of Dayton alumni Stanford University alumni University of Southern California faculty Connecticut College faculty Johns Hopkins University faculty Fellows of the American Mathematical Society 20th-century American women 21st-century American women
https://en.wikipedia.org/wiki/Tara%20E.%20Brendle
Tara Elise Brendle is an American mathematician who works in geometric group theory, which involves the intersection of algebra and low-dimensional topology. In particular, she studies mapping class group of surfaces, including braid groups, and their relationship to automorphism groups of free groups and arithmetic groups. She is a professor of mathematics and head of mathematics at the University of Glasgow. Education and career Brendle received her B.S. in mathematics, magna cum laude, from Haverford College in 1995. At Haverford, she won All Middle-Atlantic Conference honors in 1992 for her volleyball playing, and won honorable mention in the 1995 Alice T. Schafer Prize for Excellence in Mathematics by an Undergraduate Woman of the Association for Women in Mathematics for her undergraduate research in knot theory. She received her M.A. in mathematics from Columbia University in 1996 and went on to complete her Ph.D. at Columbia under the supervision of Joan Birman in 2002.. After receiving her Ph.D. from Columbia, Brendle was a National Science Foundation VIGRE Assistant Professor at Cornell University and an assistant professor at Louisiana State University. She moved to her present position at the University of Glasgow in 2008. Recognition Brendle became a member of the Young Academy of Scotland in 2014. She was elected a Fellow of the American Mathematical Society in the 2020 class, "for contributions to topology and geometry, for expository lectures, and for service to the profession aimed at the full participation of women in mathematics." She became a Fellow of the Royal Society of Edinburgh in 2021, and in the same year won the Senior Whitehead Prize "for her fundamental work in geometric group theory, concentrating on the study of groups arising in low-dimensional topology, and for her exemplary record of work in support of mathematics and mathematicians". References Year of birth missing (living people) Living people 21st-century American mathematicians American women mathematicians British mathematicians British women mathematicians Haverford College alumni Cornell University faculty Louisiana State University faculty Columbia Graduate School of Arts and Sciences alumni Fellows of the American Mathematical Society Fellows of the Royal Society of Edinburgh 21st-century American women
https://en.wikipedia.org/wiki/%28Pentamethylcyclopentadienyl%29titanium%20trichloride
(Pentamethylcyclopentadienyl)titanium trichloride is an organotitanium compound with the formula Cp*TiCl3 (Cp* = C5(CH3)5). It is an orange solid. The compound adopts a piano stool geometry. An early synthesis involve the combination of lithium pentamethylcyclopentadienide and titanium tetrachloride. The compound is an intermediate in the synthesis of decamethyltitanocene dichloride. In the presence of organoaluminium compounds and other additives, it catalyzes the polymerization of alkenes. See also (Cyclopentadienyl)titanium trichloride References Chloro complexes Titanium compounds Half sandwich compounds
https://en.wikipedia.org/wiki/Alex%20Szab%C3%B3%20%28footballer%2C%20born%201998%29
Alex Szabó (born 26 August 1998) is a Hungarian professional footballer who plays for Kecskemét. Club career In July 2021 Szabó signed for Kecskemét. Career statistics . References External links HLSZ 1998 births Living people People from Nagyatád Hungarian men's footballers Men's association football defenders Kaposvári Rákóczi FC players Kecskeméti TE players Nemzeti Bajnokság I players Nemzeti Bajnokság II players Footballers from Somogy County
https://en.wikipedia.org/wiki/Beatrice%20Pelloni
Beatrice Pelloni is an Italian mathematician specialising in applied mathematical analysis and partial differential equations. She is a professor of mathematics at Heriot-Watt University in Edinburgh, the editor-in-chief of the Proceedings of the Royal Society of Edinburgh, Section A: Mathematics, and the chair of the SIAM Activity Group on Nonlinear Waves and Coherent Structures. Education and career Pelloni was born on 28 June 1962 in Rome. After earning a laurea from Sapienza University of Rome in 1985, she entered graduate study at Yale University, but had to take several periods of time off from the program to raise three children. She completed her Ph.D. at Yale in 1996. Her dissertation, Spectral Methods for the Numerical Solution of Nonlinear Dispersive Wave Equations, was supervised by Peter Jones. While still a graduate student, Pelloni also worked as a researcher for the Institute of Applied Computational Mathematics of the Foundation for Research & Technology – Hellas (IACM-FORTH). After completing her doctorate she was a research associate at Imperial College London and then joined the University of Reading as a lecturer in 2001. At Reading she became a professor in 2012. She moved to Heriot-Watt University in 2016. Recognition Pelloni was the Olga Taussky-Todd Prize Lecturer at the 2011 International Congress on Industrial and Applied Mathematics, speaking on "Boundary value problems and integrability", and the 2019 Mary Cartwright Lecturer of the London Mathematical Society, speaking on "Nonlinear transforms in the study of fluid dynamics". She was elected Fellow of the IMA in 2012, and Fellow of the Royal Society of Edinburgh in 2020. References External links Home page 1962 births Living people British mathematicians British women mathematicians Italian mathematicians Italian women mathematicians Sapienza University of Rome alumni Yale University alumni Academics of the University of Reading Academics of Heriot-Watt University Fellows of the Royal Society of Edinburgh
https://en.wikipedia.org/wiki/Sema%20Salur
Sema Salur is a Turkish-American mathematician, currently serving as a Professor of Mathematics at the University of Rochester. She was awarded the Ruth I. Michler Memorial Prize for 2014–2015, a prize intended to give a recently promoted associate professor a year-long fellowship at Cornell University; and has been the recipient of a National Science Foundation Research Award beginning in 2017. She specialises in the "geometry and topology of the moduli spaces of calibrated submanifolds inside Calabi–Yau, G2 and Spin(7) manifolds", which are important to certain aspects of string theory and M-theory in physics, theories that attempt to unite gravity, electromagnetism, and the strong and weak nuclear forces into one coherent Theory of Everything. Education 1993: B.S. in Mathematics, Boğaziçi University, Turkey. 2000: PhD in Mathematics, Michigan State University References Year of birth missing (living people) Living people 21st-century American mathematicians American academics of Turkish descent American women mathematicians Turkish mathematicians Turkish women scientists Boğaziçi University alumni Michigan State University alumni University of Rochester faculty 21st-century women mathematicians 21st-century American women
https://en.wikipedia.org/wiki/Dietmar%20Salamon
Dietmar Arno Salamon (born 7 March 1953 in Bremen) is a German mathematician. Education and career Salamon studied mathematics at the Leibniz University Hannover. In 1982 he earned his doctorate at the University of Bremen with dissertation On control and observation of neutral systems. He subsequently spent two years as a postdoctoral fellow at the Mathematical Research Center at the University of Wisconsin–Madison, followed by one year at the Mathematical Research Institute at ETH Zurich. In 1986 he became a lecturer at the University of Warwick, where he was appointed full professor in 1994. The summer semester 1988 he spent as a visiting professor at the University of Bremen and the winter semester 1991 at the University of Wisconsin-Madison. From 1998 to 2018 he was a full professor of mathematics at ETH Zurich, retiring as professor emeritus in 2018. Salamon's field of research is symplectic topology and related fields such as symplectic geometry. Symplectic topology is a relatively new field of mathematics that developed into an important branch of mathematics in the 1990s. Some important new techniques are Gromov's pseudoholomorphic curves, Floer homology, and Seiberg-Witten invariants on four-dimensional manifolds. In 1994 he was an Invited Speaker with talk Lagrangian intersections, 3-manifolds with boundary and the Atiyah-Floer conjecture at the International Congress of Mathematicians (ICM) in Zurich. In 2012 he was elected a Fellow of the American Mathematical Society. In 2017 he received, with Dusa McDuff, the AMS Leroy P. Steele Prize for Mathematical Exposition for the book J-holomorphic curves and symplectic topology, which they co-authored. He has been a member of Academia Europaea since 2011. Selected publications Books Dietmar Salamon: Funktionentheorie. Birkhauser, 2011. Dusa McDuff, Dietmar Salamon: J-holomorphic curves and symplectic topology. American Mathematical Society, 2004, 2nd edition 2012. Dusa McDuff, Dietmar Salamon: Introduction to symplectic topology. Oxford University Press, 1998. Dusa McDuff: Articles Dietmar Salamon: Symplectic Geometry. Cambridge University Press, 1994 (London Mathematical Society Lecture Notes), . Helmut Hofer, Dietmar Salamon: Floer homology and Novikov rings. The Floer memorial volume, 483–524, Progr. Math., 133, Birkhäuser, Basel, 1995. (proof of the Arnold conjecture for ) Andreas Floer, Helmut Hofer, Dietmar Salamon: Transversality in elliptic Morse theory for the symplectic action. Duke Math. J. 80 (1995), no. 1, 251–292. Joel Robbin, Dietmar Salamon: The spectral flow and the Maslov index. Bull. London Math. Soc. 27 (1995), no. 1, 1–33. Stamatis Dostoglou, Dietmar Salamon: Self-dual instantons and holomorphic curves. Ann. of Math. (2) 139 (1994), no. 3, 581–640. Joel Robbin, Dietmar Salamon: The Maslov index for paths. Topology 32 (1993), no. 4, 827–844. Dietmar Salamon, Eduard Zehnder: Morse theory for periodic solutions of Hamiltonian systems and the Maslov index.
https://en.wikipedia.org/wiki/Lemon%20%28geometry%29
In geometry, a lemon is a geometric shape that is constructed as the surface of revolution of a circular arc of angle less than half of a full circle rotated about an axis passing through the endpoints of the lens (or arc). The surface of revolution of the complementary arc of the same circle, through the same axis, is called an apple. The apple and lemon together make up a spindle torus (or self-crossing torus or self-intersecting torus). The lemon forms the boundary of a convex set, while its surrounding apple is non-convex. The ball in North American football has a shape resembling a geometric lemon. However, although used with a related meaning in geometry, the term "football" is more commonly used to refer to a surface of revolution whose Gaussian curvature is positive and constant, formed from a more complicated curve than a circular arc. Alternatively, a football may refer to a more abstract orbifold, a surface modeled locally on a sphere except at two points. Area and volume The lemon is generated by rotating an arc of radius and half-angle less than about its chord. Note that denotes latitude, as used in geophysics. The surface area is given by The volume is given by These integrals can be evaluated analytically, giving The apple is generated by rotating an arc of half-angle greater than about its chord. The above equations are valid for both the lemon and apple. See also Sears–Haack body List of shapes References External links Football shaped (spindle type) surface of positive constant curvature in the University of Groningen model collection Geometric shapes
https://en.wikipedia.org/wiki/Northern%20Ireland%20national%20under-21%20football%20team%20records%20and%20statistics
This page details Northern Ireland national under-21 football team records and statistics; the most capped players, the players with the most goals, and Northern Ireland under-21's match record by opponent. Player records Most capped players Caps and goals updated as of 16 October 2023 after the match against . Players with an equal number of caps are ranked in chronological order of reaching the milestone. Highest goalscorers Caps and goals updated as of 16 October 2023 after the match against . Players with an equal number of goals are ranked in chronological order of reaching the milestone. Hat-tricks The result is presented with Northern Ireland's score first. Red cards The result is presented with Northern Ireland's score first. Individual and Team records Goal records First goal: Gary Blackledge – 8 March 1978 vs Most goals scored in one game by a player: 3 – Billy Kee, 10 August 2011 vs Firsts First under-21 international: 8 March 1978 vs First home under-21 international: 3 April 1990 vs First win: 3 April 1990 vs First overseas opponent: , 3 April 1990 First win over an overseas opponent: 3 April 1990 vs Streaks Most consecutive victories: 6 6 February 2006 – 16 May 2016 6 September 2018 – 25 March 2019 Most consecutive matches without defeat: 11 9 September 2003 – 16 May 2006 Most consecutive draws: 3 29 May 2000 – 1 September 2000 Most consecutive matches without a draw: 25 6 February 2006 – 18 November 2008 Most consecutive matches without victory: 14 2 September 2011 – 14 November 2013 Most consecutive defeats: 14 2 September 2011 – 14 November 2013 Most consecutive matches scoring: 8 8 February 2005 – 16 May 2006 Most consecutive matches without scoring: 4 2 September 2011 – 10 May 2012 Most consecutive matches conceding a goal: 29 2 June 1999 – 9 September 2003 Most consecutive matches without conceding a goal: 3 6 February 2006 – 28 February 2006 11 October 2018 – 22 March 2019 Biggest wins Heaviest defeats Performance Performance by competition Last updated after the match against on 16 October 2023. Performance by manager Last updated after the match against on 16 October 2023. * first two games as caretaker manager ** all 7 games as caretaker manager Performance by venue Last updated after the match against on 16 October 2023. Performance by decade Last updated after the match against on 16 October 2023. All-time records Head to head records Last updated after the match against on 16 October 2023. UEFA under-21 teams yet to play against Northern Ireland Last updated after the match against on 16 October 2023. Competitive record Champions Runners-up Third Place Fourth Place UEFA European Under-21 Championship Record Minor tournaments Honours Titles Presidents Cup Winners (1): 1998 Notes References External links Irish Football Association – Northern Ireland Football official site Northern Ireland Stats & Statistics RSSSF archive of internati
https://en.wikipedia.org/wiki/Christian%20Moser%20%28mathematician%29
Christian Moser (born 28 September 1861, Arni, Bern – 8 July 1935, Bern) was a Swiss actuary and professor of actuarial mathematics. He is known as one of the actuarial pioneers of the welfare state policies adopted by several European countries in the 20th century. Education and career From 1882 to 1986 Moser studied mathematics and physics at the University of Bern and in Berlin and Paris. At the University of Bern he received in 1886 his doctorate (Promotion) and in 1887 habilitated. He subsequently worked as a Privatdozent in mathematics. In 1891 he was hired by the Swiss federal government as the first Swiss Federal Actuary — a position created at the suggestion of the Federal Statistician Johann Jakob Kummer (1828–1913). At the University of Bern, Moser taught as a part-time Privatdozent and then from 1901 to 1915 as an associate professor. In 1915 he was appointed a full professor and retired from the civil service. He retired from the University of Bern as professor emeritus in 1931. In 1902 he was a co-founder of the University of Bern's institute for actuarial science. In the late 1890s he became a leading expert in the Swiss federal government for the formulation of the health and accident insurance law, which in 1900 was rejected in a referendum and in 1912 adopted in revised form. He represented the welfare state positions and plans of the Swiss Confederation in international congresses and in 1905 was a founding member of the Association of Swiss Actuaries. The association encompassed both social insurance groups and private insurance industry representatives and thus promoted cooperation and exchange of information among industry-related and state-related actuaries. In 1904 he succeeded his mentor Johann Jakob Kummer in the post of Director of the Federal Insurance Office. In 1932 Moser was an Invited Speaker at the International Congress of Mathematicians in Bern. Many leading actuarial mathematicians employed by the Swiss federal government or the Schweizerische Unfallversicherungsanstalt (Swiss Institute for Accident Insurance, Suva), including the future director of Suva, Arnold Bohren (1875–1957), were taught by Moser. References 1861 births 1935 deaths 19th-century Swiss mathematicians 20th-century Swiss mathematicians Actuaries University of Bern alumni Academic staff of the University of Bern
https://en.wikipedia.org/wiki/Isma%C3%ABl%20Zagr%C3%A8
Ben Aziz Ismaël Zagrè (born 21 December 1992), is a Burkinabé footballer who currently plays for Salitas in the Burkinabé Premier League. Career statistics Club International Statistics accurate as of match played 4 September 2019 International goals Scores and results list Burkina Faso goal tally first. References 1992 births Living people Burkinabé men's footballers Burkina Faso men's international footballers Burkinabé expatriate men's footballers Expatriate men's footballers in Armenia Ulisses FC players Men's association football defenders 21st-century Burkinabé people KOZAF players
https://en.wikipedia.org/wiki/Igor%20C%C3%A1ssio
Igor Cássio Vieira dos Santos (born 30 June 1998), known as Igor Cássio, is a Brazilian footballer who plays for Tombense on loan from Anápolis as a forward. Career statistics References External links 1998 births Living people Footballers from Rio de Janeiro (city) Brazilian men's footballers Men's association football forwards Botafogo de Futebol e Regatas players FC Porto B players Tombense Futebol Clube players Campeonato Brasileiro Série A players Liga Portugal 2 players Brazilian expatriate men's footballers Expatriate men's footballers in Portugal Brazilian expatriate sportspeople in Portugal People from Belford Roxo Footballers from Rio de Janeiro (state)
https://en.wikipedia.org/wiki/Mikhail%20Kapranov
Mikhail Kapranov, (Михаил Михайлович Капранов, born 1962) is a Russian mathematician, specializing in algebraic geometry, representation theory, mathematical physics, and category theory. He is currently a professor of the Kavli Institute for the Physics and Mathematics of the Universe at the University of Tokyo. Kapranov graduated from Lomonosov University in 1982 and received his doctorate in 1988 under the supervision of Yuri Manin at the Steklov Institute in Moscow. Afterwards he worked at the Steklov Institute and from 1990 to 1991 at Cornell University. At Northwestern University he was from 1991 to 1993 an assistant professor, from 1993 to 1995 an associate professor, and from 1995 to 1999 a full professor. He was from 1999 to 2003 a professor at University of Toronto and from 2003 to 2014 a professor at Yale University. In 1993 he was a Sloan Research Fellow. From fall 2018 to spring 2019 he was a visiting professor at the Institute for Advanced Study. From 1989 to 1990 he collaborated with Vladimir Voevodsky on -groupoids, following the proposal made by Alexander Grothendieck in Esquisse d'un Programme. In 1990 Voevodsky and Kapranov published “-Groupoids as a Model for a Homotopy Category”, in which they claimed to provide a rigorous mathematical formulation and a logically valid proof of Grothendieck's idea connecting two classes of mathematical objects: -groupoids and homotopy types. In October 1998, Carlos Simpson published on arXiv the article “Homotopy Types of Strict 3-groupoids”, which argued that the main result of the “-groupoids” paper, published by Kapranov and Voevodsky in 1990, is false. It was not until 2013 Voevodsky convinced himself that Carlos Simpson's article is correct. Kapranov was also involved in the beginning of Voevodsky's program for the development of motivic cohomology. With Israel Gelfand and Andrei Zelevinsky, Kapranov investigated generalized Euler integrals, -hypergeometric functions, -discriminants, and hyperdeterminants, and authored Discriminants, Resultants, and Multidimensional Determinants in 1994. According to Gelfand, Kapranov, and Zelevinsky: In 1995 Kapranov provided a framework for a Langlands program for higher-dimensional schemes, and with, Victor Ginzburg and Éric Vasserot, extended the "Geometric Langlands Conjecture" from algebraic curves to algebraic surfaces. In 1998 Kapranov was an Invited Speaker with talk Operads and Algebraic Geometry at the International Congress of Mathematicians in Berlin. See also Goss zeta function References External links Kapranov's publications on mathnet.ru 1962 births Living people 20th-century Russian mathematicians 21st-century Russian mathematicians Moscow State University alumni Steklov Institute of Mathematics alumni Northwestern University faculty Academic staff of the University of Toronto Yale University faculty Sloan Research Fellows
https://en.wikipedia.org/wiki/Konstantin%20Okulov
Konstantin Okulov (born 18 February 1995) is a Russian professional ice hockey Forward who is currently playing for HC CSKA Moscow in the Kontinental Hockey League (KHL). Career statistics International Awards and honors References External links 1995 births Living people HC CSKA Moscow players HC Sibir Novosibirsk players Sportspeople from Novosibirsk
https://en.wikipedia.org/wiki/Gregory%20Beylkin
Gregory Beylkin (born 16 March 1953) is an applied mathematician. Education and career He studied from 1970 to 1975 at the University of Leningrad, with Diploma in Mathematics in November 1975. From 1976 to 1979 he was a research scientist at the Research Institute of Ore Geophysics, Leningrad. From 1980 to 1982 he was a graduate student at New York University, where he received his PhD under the supervision of Peter Lax. From 1982 to 1983 Beylkin was an associate research scientist at the Courant Institute of Mathematical Sciences. From 1983 to 1991 he was a member of the professional staff of Schlumberger-Doll Research in Ridgefield, Connecticut. Since 1991 he has been a professor in the Department of Applied Mathematics at the University of Colorado Boulder. He was a visiting professor at Yale University, the University of Minnesota, and the Mittag-Leffler Institute and participated in 2012 and 2015 in the summer seminar on "Applied Harmonic Analysis and Sparse Approximation" at Oberwolfach. He is the author or co-author of over 100 articles in refereed journal and has served on several editorial boards. Awards and honors 1998 — Invited Speaker of the International Congress of Mathematicians 2012 — Fellow of the American Mathematical Society 2016 — Fellow of the Society for Industrial and Applied Mathematics Patents See also References External links 1953 births Living people 20th-century Russian mathematicians 21st-century Russian mathematicians 20th-century American mathematicians 21st-century American mathematicians Applied mathematicians Fellows of the American Mathematical Society Fellows of the Society for Industrial and Applied Mathematics Saint Petersburg State University alumni Courant Institute of Mathematical Sciences alumni University of Colorado Boulder alumni
https://en.wikipedia.org/wiki/GraphBLAS
GraphBLAS () is an API specification that defines standard building blocks for graph algorithms in the language of linear algebra. GraphBLAS is built upon the notion that a sparse matrix can be used to represent graphs as either an adjacency matrix or an incidence matrix. The GraphBLAS specification describes how graph operations (e.g. traversing and transforming graphs) can be efficiently implemented via linear algebraic methods (e.g. matrix multiplication) over different semirings. The development of GraphBLAS and its various implementations is an ongoing community effort, including representatives from industry, academia, and government research labs. Background Graph algorithms have long taken advantage of the idea that a graph can be represented as a matrix, and graph operations can be performed as linear transformations and other linear algebraic operations on sparse matrices. For example, matrix-vector multiplication can be used to perform a step in a breadth-first search. The GraphBLAS specification (and the various libraries that implement it) provides data structures and functions to compute these linear algebraic operations. In particular, GraphBLAS specifies sparse matrix objects which map well to graphs where vertices are likely connected to relatively few neighbors (i.e. the degree of a vertex is significantly smaller than the total number of vertices in the graph). The specification also allows for the use of different semirings to accomplish operations in a variety of mathematical contexts. Originally motivated by the need for standardization in graph analytics, similar to its namesake BLAS, the GraphBLAS standard has also begun to interest people outside the graph community, including researchers in machine learning, and bioinformatics. GraphBLAS implementations have also been used in high-performance graph database applications such as RedisGraph. Specification The GraphBLAS specification has been in development since 2013, and has reached version 2.0.0 as of November 2021. While formally a specification for the C programming language, a variety of programming languages have been used to develop implementations in the spirit of GraphBLAS, including C++, Java, and Nvidia CUDA. Compliant implementations and language bindings There are currently two fully-compliant reference implementations of the GraphBLAS specification. Bindings assuming a compliant specification exist for the Python, MATLAB, and Julia programming languages. Linear algebraic foundations The mathematical foundations of GraphBLAS are based in linear algebra and the duality between matrices and graphs. Each graph operation in GraphBLAS operates on a semiring, which is made up of the following elements: A scalar addition operator () A scalar multiplication operator () A set (or domain) Note that the zero element (i.e. the element that represents the absence of an edge in the graph) can also be reinterpreted. For example, the following algebras ca
https://en.wikipedia.org/wiki/Kurt%20Johansson%20%28mathematician%29
Kurt Johansson (born 1960) is a Swedish mathematician, specializing in probability theory. Johansson received his PhD in 1988 from Uppsala University under the supervision of Lennart Carleson and is a professor in mathematics at KTH Royal Institute of Technology. In 2000 Johansson was awarded the Rollo Davidson Prize. In 2002 he was an invited speaker of the International Congress of Mathematicians in Beijing and was awarded the Göran Gustafsson Prize. In 2006 he was elected a member of the Royal Swedish Academy of Sciences. In 2012 he was elected a fellow of the American Mathematical Society. Selected publications References 1960 births Living people Swedish mathematicians Probability theorists Uppsala University alumni Academic staff of the KTH Royal Institute of Technology Fellows of the American Mathematical Society Members of the Royal Swedish Academy of Sciences 21st-century Swedish mathematicians
https://en.wikipedia.org/wiki/John%20Stokes%20%28Irish%20mathematician%29
John Stokes (1720 – 2 November 1781) was a Dublin-born academic who served (1762–1764) as the first Erasmus Smith's Professor of Mathematics at Trinity College Dublin (TCD). He was son of engineer Gabriel Stokes (1682–1768)–who in 1746 became deputy surveyor general of Ireland–and Elizabeth King (1689–1751). John's brother Gabriel (1731–1806) was also a mathematician at TCD. John Stokes received BA (1740) and MA (1743) from TCD, became a fellow there in 1746, then got BD 1752 and DD 1755. During 1760–1762 he was Donegall Lecturer of Mathematics, and after his term as Erasmus Smith's Professor of Mathematics, he was appointed Regius Professor of Greek in 1764, but retired from TCD the following year. In 1777, he became Rector of Rahy and Clondahorky, Donegal. John was a member of the prominent Anglo-Irish Stokes family, whose notable members include Sir George Stokes, 1st baronet (Great Grandson), Whitley Stokes (physician) (Nephew), William Stokes (physician) (Grand Nephew), Sir William Stokes (Great Grand Nephew), Whitley Stokes (Celtic scholar) (Great Grand Nephew), Margaret Stokes (Great Grand Niece), Sir Henry Edward Stokes (Great Grand Nephew), Sir Gabriel Stokes (Great Great Grand Nephew), and Charles Stokes (trader) (Great Great Grand Nephew). References 1720 births 1781 deaths Donegall Lecturers of Mathematics at Trinity College Dublin 18th-century Irish mathematicians
https://en.wikipedia.org/wiki/Serre%27s%20inequality%20on%20height
In algebra, specifically in the theory of commutative rings, Serre's inequality on height states: given a (Noetherian) regular ring A and a pair of prime ideals in it, for each prime ideal that is a minimal prime ideal over the sum , the following inequality on heights holds: Without the assumption on regularity, the inequality can fail; see scheme-theoretic intersection#Proper intersection. Sketch of Proof Serre gives the following proof of the inequality, based on the validity of Serre's multiplicity conjectures for formal power series ring over a complete discrete valuation ring. By replacing by the localization at , we assume is a local ring. Then the inequality is equivalent to the following inequality: for finite -modules such that has finite length, where = the dimension of the support of and similar for . To show the above inequality, we can assume is complete. Then by Cohen's structure theorem, we can write where is a formal power series ring over a complete discrete valuation ring and is a nonzero element in . Now, an argument with the Tor spectral sequence shows that . Then one of Serre's conjectures says , which in turn gives the asserted inequality. References Commutative algebra
https://en.wikipedia.org/wiki/Eileen%20Poiani
Eileen Louise Poiani is an American mathematician. She was the first female mathematics instructor at Saint Peter's University in New Jersey, where she is a professor of mathematics, former vice president, and special assistant to the president of the university. She was the first female president of Pi Mu Epsilon. Education Poiani grew up as a fourth-generation resident of Nutley, New Jersey, where she graduated from Nutley High School. She was an undergraduate in the Douglass Residential College of Rutgers University, earning Phi Beta Kappa honors, and remained at Rutgers for graduate study in mathematics. Her 1971 doctoral dissertation, Mean Cesaro Summability of Laguerre and Hermite Series and Asymptotic Estimates of Laguerre and Hermite Polynomials, concerned Cesàro summation, Laguerre polynomials, and Hermite polynomials; her doctoral advisor was Benjamin Muckenhoupt, the namesake of Muckenhoupt weights. Career In 1967, before she completed her doctorate, Poiani joined the Saint Peter's University faculty as a mathematics instructor. This was one year after Saint Peter's University had begun admitting women, and Poiani became the university's first female mathematics instructor, and one of only seven women on the university faculty. She taught mathematics for 35 years, and was named a full professor in 1980. Saint Peter's is a Jesuit school, and Poiani was an early advocate of attention to the principle of cura personalis in Jesuit higher education. She has also been described as having "passionate interest in promoting the status of women and minorities in mathematics". In 2000, after long-time service to the university as Executive Assistant to the President and Assistant to the President for Planning, she became the university's vice president for student affairs, and the university's first female vice president. In 2011 she became special assistant to the president. Service In 1975, at the invitation of the Mathematical Association of America, Poiani founded and became director of Women and Mathematics. This was a national program that sponsored women in mathematics to speak to female high school students, with the goal of providing role models to the students and encourage them to continue in mathematics. She continued to lead the program until stepping down in 1981. She has also served the Mathematical Association of America as governor of the New Jersey Section, and the National Academy of Sciences as chair of the U.S. Commission on Mathematical Instruction. She was the first woman to be elected as president of the mathematics society Pi Mu Epsilon, serving as president for 1987–1990. Recognition Pi Mu Epsilon gave Poiani their C. C. MacDuffee Award for Distinguished Service in 1995. In 2003 Poiani was given New Jersey's Women of Achievement award. Saint Peter's University named Poiani an honorary alumna in 2017. The Association for Women in Mathematics has included her in the 2020 class of AWM Fellows for "her sustained commit
https://en.wikipedia.org/wiki/C%20S%20Yogananda
C S Yogananda is a mathematician, currently serving as Professor of Mathematics at J.S.S Science and Technology University, Mysore. He is also an author and an entrepreneur. His writings of Mathematics have been published by many distinguished publications. Mathematical Olympiads C S Yogananda has been involved with Mathematical Olympiad movement in India since 1989. He has participated as a resource person and evaluated answer books for various regional (RMO) and national (INMO) Olympiads. He was also academic coordinator for the Problem Coordinators workshops organized by the National Board for Higher Mathematics. He was member of the Core Faculty at the IMO Training Camps and involved in the selection of the Indian Team since 1989. He was a member of the Organizing Committee (Computer Committee / Publications Committee / Problem Selection Committee) when India hosted the IMO in July 1996 in Mumbai. During Yogananda's time as Observer and Deputy Leader for Indian team participating in IMO in the years 1993, 1995 and 1998, India won 3 Gold, 10 Silver, 4 Bronze medals altogether. Sriranga Digital Software Technologies C S Yogananda established Sriranga Digital Software Technologies in 2003 with the primary intention of bringing digital technologies to the service of Indian languages. As a pioneering technological enterprise in the times of digital revolution it addresses the need for powerful text formatting programs like TeX, LaTeX, Metafont, OCR for Kannada and also developing huge digital archives. Sriranga Digital Software Technologies takes to its credits for digitizing complete Rigveda Bhashya of Sri Sayanacharya that was first published under Sri Jayachamarajendra Grantharatnamala. AdvaitaSharada C S Yogananda also created a digital archive of Sri Shankaracharya's works. The Advaita Sharada initiative has been recognized by the Jagadgurus of Sri Sringeri Sharada Peetham. The archive is a collection of Prasthanatraya Bhashya of Sri Shankara, his prakarana granthas and also the commentaries by later commentators of Sri Shankara. The archive tends to be a helping hand in understanding the works of Sri Shankara in more depth since it allows a complete search of the texts. Honorary positions Honorary Secretary, Leelavati Trust (Regd.), Bangalore. Honorary Joint Director, Jawaharlal Nehru Planetarium, Bangalore from November 1, 2000, to October 31, 2003. Member Secretary, Steering Committee for Informatics Olympiad. Chairman, TeX Users Group India (TUGIndia). Further reading Editor: Ramanujan's papers, Prism Books Collected Papers of Srinivasa Ramanujan, Taylor & Francis Life and Times of Bourbaki – book review by Yogananda Echoes from Resonance (Number Theory) (jointly edited with S. A. Shirali) Math Unlimited: Essays in Mathematics (edited by R. Sujatha, H. N. Ramaswamy, C. S. Yogananda) References External links DVK Murthy Prakashana Number Theory IMO 1998 list 1960 births Living people Indian mathematicians
https://en.wikipedia.org/wiki/Deborah%20Greaves
Deborah Mary Greaves (born March 1967) is a British engineer, Professor of Ocean Engineering and Head of the School of Engineering, Computing and Mathematics at the University of Plymouth. In 2020 she was elected a Fellow of the Royal Academy of Engineering. Early life and education Greaves studied civil engineering at the University of Bristol. She earned her bachelor's degree in 1988 and started work as a civil engineer. In 1992 Greaves returned to academia, and moved to St Edmund Hall, Oxford for her doctoral studies. Her doctoral research considered the numerical modelling of fluid flows, and she graduated in 1998. Career After earning her doctoral degree Greaves joined University College London as a lecturer in mechanical engineering. In 2002 Greaves joined the University of Bath as a lecturer in architecture and civil engineering. She was awarded a Royal Society University Research Fellowship. Here she investigated the impact of wind on fabric in an effort to design new materials to cover large open spaces. In 2008 Greaves moved to the University of Plymouth. Greaves studies offshore renewable energy as well as creating numerical models of wave-structure interactions. At the University of Plymouth she serves as Head of School of Engineering, Computing and Mathematics. Here she led the €2 million European Commission project Streamlining of Ocean Wave Farm Impacts Assessment (SOWFIA), which looked at the development of wave farms in European countries. SOWFIA considered several Wave Energy Converters in an attempt to improve expertise of large scale energy projects. An outcome of SOWFIA was a catalogue of wave energy test sites, as well as several workshops and reports on the environmental risks and benefits associated with the use of wave energy. She leads the Collaborative Computational Project in Wave Structure Interaction (CCP-WSI), a project which develops wave tank codes for tackling challenges that arise from complex wave-structure interactions. Greaves is director of the Sustainable PowER GENeration and supply (Supergen) Offshore Renewable Energy (ORE) Hub, which researches several renewable energy technologies. Supergen ORE is a £9 million Engineering and Physical Sciences Research Council project that looks at future challenges for renewable energy sources and looks at how the offshore energy distribution system will need to be transformed in the future. She had developed the University of Plymouth Coastal, Ocean and Sediment Transport (COAST) laboratory which looks at marine energy devices and environmental impact modelling. Academic service Greaves is the chair of the board of the Partnership for Research In Marine Renewable Energy (PRIMaRE) and Directs the Supergen ORE Hub. She serves on the Carbon Trust Advisory Board She is a Fellow of the Women's Engineering Society and the Institution of Civil Engineers as well as serving as an expert advisor for the United Nations. She was shortlisted for the WISE Campaign Research
https://en.wikipedia.org/wiki/Distributive%20polytope
In the geometry of convex polytopes, a distributive polytope is a convex polytope for which coordinatewise minima and maxima of pairs of points remain within the polytope. For example, this property is true of the unit cube, so the unit cube is a distributive polytope. It is called a distributive polytope because the coordinatewise minimum and coordinatewise maximum operations form the meet and join operations of a continuous distributive lattice on the points of the polytope. Every face of a distributive polytope is itself a distributive polytope. The distributive polytopes all of whose vertex coordinates are 0 or 1 are exactly the order polytopes. See also Stable matching polytope, a convex polytope that defines a distributive lattice on its points in a different way References Order theory Polytopes
https://en.wikipedia.org/wiki/Order%20polytope
In mathematics, the order polytope of a finite partially ordered set is a convex polytope defined from the set. The points of the order polytope are the monotonic functions from the given set to the unit interval, its vertices correspond to the upper sets of the partial order, and its dimension is the number of elements in the partial order. The order polytope is a distributive polytope, meaning that coordinatewise minima and maxima of pairs of its points remain within the polytope. The order polytope of a partial order should be distinguished from the linear ordering polytope, a polytope defined from a number as the convex hull of indicator vectors of the sets of edges of -vertex transitive tournaments. Definition and example A partially ordered set is a pair where is an arbitrary set and is a binary relation on pairs of elements of that is reflexive (for all , ), antisymmetric (for all with at most one of and can be true), and transitive (for all , if and then ). A partially ordered set is said to be finite when is a finite set. In this case, the collection of all functions that map to the real numbers forms a finite-dimensional vector space, with pointwise addition of functions as the vector sum operation. The dimension of the space is just the number of elements of . The order polytope is defined to be the subset of this space consisting of functions with the following two properties: For every , . That is, maps the elements of to the unit interval. For every with , . That is, is a monotonic function For example, for a partially ordered set consisting of two elements and , with in the partial order, the functions from these points to real numbers can be identified with points in the Cartesian plane. For this example, the order polytope consists of all points in the -plane with . This is an isosceles right triangle with vertices at (0,0), (0,1), and (1,1). Vertices and facets The vertices of the order polytope consist of monotonic functions from to . That is, the order polytope is an integral polytope; it has no vertices with fractional coordinates. These functions are exactly the indicator functions of upper sets of the partial order. Therefore, the number of vertices equals the number of upper sets. The facets of the order polytope are of three types: Inequalities for each minimal element of the partially ordered set, Inequalities for each maximal element of the partially ordered set, and Inequalities for each two distinct elements that do not have a third distinct element between them; that is, for each pair in the covering relation of the partially ordered set. The facets can be considered in a more symmetric way by introducing special elements below all elements in the partial order and above all elements, mapped by to 0 and 1 respectively, and keeping only inequalities of the third type for the resulting augmented partially ordered set. More generally, with the same augmentation by and , the
https://en.wikipedia.org/wiki/Geometrically%20%28algebraic%20geometry%29
In algebraic geometry, especially in scheme theory, a property is said to hold geometrically over a field if it also holds over the algebraic closure of the field. In other words, a property holds geometrically if it holds after a base change to a geometric point. For example, a smooth variety is a variety that is geometrically regular. Geometrically irreducible and geometrically reduced Given a scheme X that is of finite type over a field k, the following are equivalent: X is geometrically irreducible; i.e., is irreducible, where denotes an algebraic closure of k. is irreducible for a separable closure of k. is irreducible for each field extension F of k. The same statement also holds if "irreducible" is replaced with "reduced" and the separable closure is replaced by the perfect closure. References Sources Scheme theory
https://en.wikipedia.org/wiki/Eduard%20Feireisl
Eduard Feireisl (born 16 December 1957 in Kladno) is a Czech mathematician. After studying from 1973 to 1977 at secondary school in Nové Strašecí, Feireisl studied mathematics at Charles University in Prague from 1977 and graduated there in 1982. He received his doctorate in 1986 from the Institute of Mathematics of the Czechoslovak Academy of Sciences with thesis Critical points of non-differentiable functionals: existence of solutions to problems of mathematical elasticity theory under the supervision of Vladimir Lovicar. During the 1980s he worked as an assistant professor at the Department of Mathematics of the Faculty of Mechanical Engineering Czech Technical University in Prague (CTU). He studied at the Institute of Mathematics of the Czechoslovak Academy of Sciences (as a member since 1988) and habilitated there in 1999. He became a lecturer at the Charles University in 2009 and was appointed there to a full professorship in 2011. Feireisl spent in 1989 half a year in Oxford, in 1993/94 a sabbatical year at the Complutense University of Madrid, and in 1998 and in 1999 half a year at the University of Franche-Comté in Besançon. He was also as visiting scholar for 12 months from 2001 to 2013 at Henri Poincaré University in Nancy and for 3 months in 2000 at Ohio State University. He was in 2004/05 at the TU Munich, from 2008 to 2010 a visiting professor at the Central European University in Budapest, and in 2012 at the Erwin Schrödinger Institute in Vienna. For 2018 to 2021 he was appointed an Einstein Visiting Fellow at TU Berlin. His research deals with partial differential equations, infinite dimensional dynamical systems, and mathematical problems of hydrodynamics. He received in 2004 and 2009 the Prize of the Academy of Sciences of the Czech Republic, in 2015 the Neuron Award, and in 2017 the gold medal of Charles University, as well as the Bernard Bolzano Honorary Medal from the Czech Academy of Sciences. In 2012, he chaired the scientific committee of the European Congress of Mathematicians in Krakow. He was an invited speaker in 2002 at the International Congress of Mathematicians in Beijing, and at the conference Dynamics, Equations and Applications in Kraków in 2019. In 2018 he was a member of the Fields Medal Selection Committee. In 2013 he received an Advanced Grant from the European Research Council (ERC) for the study of mathematical modeling of gas movement and heat exchange. Selected publications Articles Asymptotic analysis of the full Navier–Stokes–Fourier system: From compressible to incompressible fluid flows, Russian Mathematical Surveys, vol. 62, 2007, pp. 511–533 Dynamical systems approach to models in fluid mechanics, Russian Mathematical Surveys, vol. 69, 2014, pp. 331–357 Books Dynamics of viscous compressible fluids, Oxford UP 2004 as editor with Constantine Dafermos: Handbook of differential equations: Evolutionary equations, Elsevier 2004 with Dalibor Pražák: Asymptotic behavior of dynamical systems in fl
https://en.wikipedia.org/wiki/Ryuta%20Kanai
is a Japanese former footballer who played the entirety of his career for Vanraure Hachinohe. Career Kanai retired at the end of the 2019 season. Club statistics Notes References External links 1989 births Living people Japanese men's footballers Men's association football midfielders Japan Football League players J3 League players Shonan Bellmare players Vanraure Hachinohe players
https://en.wikipedia.org/wiki/Ken%20Yamura
is a Japanese footballer currently playing as a forward for Albirex Niigata of J2 League. Career statistics Club Notes References External links 1997 births Living people Sportspeople from Tokyo Metropolis Association football people from Tokyo Metropolis Niigata University of Health and Welfare alumni Japanese men's footballers Men's association football forwards J2 League players Tokyo Musashino United FC players Albirex Niigata players People from Meguro
https://en.wikipedia.org/wiki/Thibault%20Rambaud
Thibault Rambaud (born 19 April 1997) is a French professional footballer who plays as a forward for GOAL FC. Career statistics Club Notes References Living people 1997 births French men's footballers Men's association football forwards Chamois Niortais F.C. players Le Mans FC players Vannes OC players Championnat National 3 players Championnat National 2 players
https://en.wikipedia.org/wiki/Jos%C3%A9%20Caicedo
José Luis Caicedo Barrera (born 23 May 2002) is a Colombian footballer who plays as a defensive midfielder and centre-back for Liga MX club UNAM. Career statistics Club Notes References 2002 births Living people Colombian men's footballers Colombian expatriate men's footballers Colombia men's youth international footballers Men's association football midfielders Categoría Primera A players Liga de Expansión MX players Categoría Primera B players Independiente Santa Fe footballers Barranquilla F.C. footballers People from Palmira, Valle del Cauca Colombian expatriate sportspeople in Mexico Expatriate men's footballers in Mexico Footballers from Valle del Cauca Department 21st-century Colombian people
https://en.wikipedia.org/wiki/Nicol%C3%A1s%20Figueroa
Nicolás Amadeo Figueroa Rodríguez (born 24 May 2002) is a Peruvian footballer who plays as a forward for FBC Melgar. Career statistics Club Notes References 2002 births Living people Peruvian men's footballers Peru men's youth international footballers Men's association football forwards Club Deportivo Universidad de San Martín de Porres players FBC Melgar footballers Footballers from Lima
https://en.wikipedia.org/wiki/Sisawad%20Dalavong
Sisawad Dalavong (born August 11, 1996), is a Laotian professional footballer currently playing as a left winger and striker for Lao Army FC and the Laos national football team. Career statistics International References External links 1996 births Living people Laotian men's footballers Laos men's international footballers Lao Army F.C. players Men's association football forwards People from Savannakhet province
https://en.wikipedia.org/wiki/Vannasone%20Douangmaity
Vannasone Douangmaity (born March 15, 1997) is a Laotian footballer currently playing as a forward or a winger for Young Elephant and the Laos national football team Career statistics International International goals Scores and results list Laos' goal tally first. References 1997 births Laotian men's footballers Living people Competitors at the 2019 SEA Games Laos men's international footballers Men's association football forwards People from Attapeu province SEA Games competitors for Laos
https://en.wikipedia.org/wiki/Roberto%20Longo%20%28mathematician%29
Roberto Longo (born 9 May 1953) is an Italian mathematician, specializing in operator algebras and quantum field theory. Education and career Roberto Longo graduated in Mathematics at the Sapienza University of Rome in 1975 under the supervision of the mathematical physicist Sergio Doplicher. From 1975 to 1977 Longo was a predoctoral fellow of the Consiglio Nazionale delle Ricerche and later assistant professor at the Sapienza University of Rome, where he became an associate professor in 1980. In 1987 he was nominated full professor of functional analysis at the University of Rome Tor Vergata and since 2010 he is the director of the Center for Mathematics and Theoretical Physics in Rome. Between 1978 and 1979 he was visiting scholar at the University of Pennsylvania and the University of California, Berkeley. He has been a visiting professor in numerous research centers, including the CNRS in Marseille, the Mathematical Sciences Research Institute in Berkeley, California, the Harvard University, MIT, and the University of Göttingen. Longo is an expert in the theory of operator algebras and its applications to quantum field theory. His work influenced the structural analysis of quantum field theory, especially of conformal field theory, and opened up to new developments in model building methods of interest in local quantum physics. Roberto Longo is known in particular for his work with Sergio Doplicher on split inclusions of von Neumann algebras and for having solved, independently with Sorin Popa, the Stone-Weierstrass conjecture for factorial states. He also found the relationship between the statistical dimension and the Jones index. In a work with Yasuyuki Kawahigashi, Longo classified the discrete series of conformal chiral networks of von Neumann algebras. Together with Vincenzo Morinelli and Karl-Henning Rehren, he also showed that particles with infinite spin cannot appear in a local theory. His most recent works concern entropy and information for infinite quantum systems. Honors and awards In 1994 Longo was an invited speaker at the International Congress of Mathematicians in Zurich. He was invited speaker at the International Congress on Mathematical Physics in 1981 in Berlin, in 1988 in Swansea, in 1994 in Paris, and in 2003 in Lisbon. In 2004 he was Andrejewski Lecturer in Göttingen. He was a plenary speaker at the International Congress of Mathematicians in 2009 in Prague and at Strings 2018 in Okinawa. In 2013 he was elected a Fellow of the American Mathematical Society and in 2021 a member of the Academia Europaea. He was awarded in 2016 the Humboldt Research Award and in 2021 the XL medal from the Accademia Nazionale delle Scienze detta dei XL for his in-depth and innovative research in operator algebras and in conformal field theory. In 2013 the conference Mathematics and Quantum Physics at the Lincei National Academy was dedicated to him on the occasion of his 60th birthday. In 2008 and in 2015 he received two Advanced
https://en.wikipedia.org/wiki/David%20%28footballer%2C%20born%201999%29
David Jhefer Domingues dos Santos (born 10 July 1999), simply known as David, is a Brazilian footballer who currently plays for Votuporanguense. Career statistics Club Honours Grêmio Prudente Campeonato Paulista Segunda Divisão: 2022 References 1999 births Living people People from Tucuruí Footballers from Pará Brazilian men's footballers Men's association football forwards Campeonato Brasileiro Série D players Campeonato Paranaense players Toledo Esporte Clube players Figueirense FC players Clube Atlético Votuporanguense players
https://en.wikipedia.org/wiki/Christian%20%28footballer%2C%20born%202000%29
Christian Roberto Alves Cardoso (born 19 December 2000), simply known as Christian, is a Brazilian footballer who plays as a midfielder for Athletico Paranaense. Career statistics Club Honours Athletico Paranaense Campeonato Paranaense: 2019, 2020, 2023 Copa Sudamericana: 2021 References External links Athletico Paranaense official profile 2000 births Living people Sportspeople from Jundiaí Brazilian men's footballers Men's association football midfielders Campeonato Brasileiro Série A players Campeonato Brasileiro Série C players Club Athletico Paranaense players Esporte Clube Juventude players Copa Sudamericana-winning players Footballers from São Paulo (state)
https://en.wikipedia.org/wiki/Bruno%20Leite%20%28footballer%2C%20born%202000%29
Bruno da Silva Costa Leite (born 7 April 2000), known as Bruno Leite, is a Brazilian footballer who plays as a midfielder for Athletico Paranaense. Career statistics Honours Athletico Paranaense Campeonato Paranaense: 2019, 2020 References External links Athletico Paranaense official profile 2000 births Living people Footballers from Maceió Brazilian men's footballers Men's association football midfielders Campeonato Brasileiro Série A players Campeonato Paranaense players Club Athletico Paranaense players
https://en.wikipedia.org/wiki/Felipe%20Sousa
Felipe Fernandes Sousa (born 6 May 1999) is a Brazilian footballer who plays as a forward for Gama. Career statistics Club Notes References 1999 births Living people Brazilian men's footballers Men's association football forwards Campeonato Brasileiro Série D players União Recreativa dos Trabalhadores players Esporte Clube XV de Novembro (Piracicaba) players Clube Atlético Mineiro players Sociedade Esportiva do Gama players People from Patos de Minas Footballers from Minas Gerais
https://en.wikipedia.org/wiki/Kau%C3%A3
Kauã Jesus Tenório (born 2 September 2003), commonly known as Kauã, is a Brazilian footballer who currently plays as a midfielder for Oeste. Career statistics Club Notes References 2003 births Living people Brazilian men's footballers Men's association football midfielders Oeste Futebol Clube players