Jean-Pierre Serre is a French mathematician who has made contributions to algebraic topology,algebraic geometry and algebraic number theory. He was awarded the Fields Medal in 1954,the Wolf Prize in 2000 and the inaugural Abel Prize in 2003.
Richard Ewen Borcherds is a British mathematician currently working in quantum field theory. He is known for his work in lattices,group theory,and infinite-dimensional algebras,for which he was awarded the Fields Medal in 1998. He is well known for his proof of monstrous moonshine using ideas from string theory.
David Bryant Mumford is an American mathematician known for his work in algebraic geometry and then for research into vision and pattern theory. He won the Fields Medal and was a MacArthur Fellow. In 2010 he was awarded the National Medal of Science. He is currently a University Professor Emeritus in the Division of Applied Mathematics at Brown University.
Michael Artin is an American mathematician and a professor emeritus in the Massachusetts Institute of Technology Mathematics Department,known for his contributions to algebraic geometry.
William Gilbert Strang is an American mathematician known for his contributions to finite element theory,the calculus of variations,wavelet analysis and linear algebra. He has made many contributions to mathematics education,including publishing mathematics textbooks. Strang was the MathWorks Professor of Mathematics at the Massachusetts Institute of Technology. He taught Linear Algebra,Computational Science,and Engineering,Learning from Data,and his lectures are freely available through MIT OpenCourseWare.
Ian Grant Macdonald was a British mathematician known for his contributions to symmetric functions,special functions,Lie algebra theory and other aspects of algebra,algebraic combinatorics,and combinatorics.
Ehud Hrushovski is a mathematical logician. He is a Merton Professor of Mathematical Logic at the University of Oxford and a Fellow of Merton College,Oxford. He was also Professor of Mathematics at the Hebrew University of Jerusalem.
David Harbater is an American mathematician at the University of Pennsylvania,well known for his work in Galois theory,algebraic geometry and arithmetic geometry.
David Eisenbud is an American mathematician. He is a professor of mathematics at the University of California,Berkeley and former director of the then Mathematical Sciences Research Institute (MSRI),now known as Simons Laufer Mathematical Sciences Institute (SLMath). He served as Director of MSRI from 1997 to 2007,and then again from 2013 to 2022.
Robin Cope Hartshorne is an American mathematician who is known for his work in algebraic geometry.
János Kollár is a Hungarian mathematician,specializing in algebraic geometry.
Edward Vladimirovich Frenkel is a Russian-American mathematician working in representation theory,algebraic geometry,and mathematical physics. He is a professor of mathematics at the University of California,Berkeley.
In mathematics,a chiral algebra is an algebraic structure introduced by Beilinson &Drinfeld (2004) as a rigorous version of the rather vague concept of a chiral algebra in physics. In Chiral Algebras,Beilinson and Drinfeld introduced the notion of chiral algebra,which based on the pseudo-tensor category of D-modules. They give a 'coordinate independent' notion of vertex algebras,which are based on formal power series. Chiral algebras on curves are essentially conformal vertex algebras.
Pavel Ilyich Etingof is an American mathematician of Russian-Ukrainian origin. He does research on the intersection of mathematical physics and representation theory,e.g.,quantum groups.
Karen Ellen Smith is an American mathematician,specializing in commutative algebra and algebraic geometry. She completed her bachelor's degree in mathematics at Princeton University before earning her PhD in mathematics at the University of Michigan in 1993. Currently she is the Keeler Professor of Mathematics at the University of Michigan. In addition to being a researcher in algebraic geometry and commutative algebra,Smith with others wrote the textbook An Invitation to Algebraic Geometry.
Jacques Claude HurtubiseFRSC is a Canadian mathematician who works as a professor of mathematics and chair of the mathematics department at McGill University. His research interests include moduli spaces,integrable systems,and Riemann surfaces. Among other contributions,he is known for proving the Atiyah–Jones conjecture.
In algebra,a perfect complex of modules over a commutative ring A is an object in the derived category of A-modules that is quasi-isomorphic to a bounded complex of finite projective A-modules. A perfect module is a module that is perfect when it is viewed as a complex concentrated at degree zero. For example,if A is Noetherian,a module over A is perfect if and only if it is finitely generated and of finite projective dimension.
Kari Kaleva Vilonen is a Finnish mathematician,specializing in geometric representation theory. He is currently a professor at the University of Melbourne.
The Israel Mathematical Union (IMU) is an association of professional mathematicians in Israel. It is a member of the European Mathematical Society and the International Council for Industrial and Applied Mathematics,and has reciprocity membership agreements with the American Mathematical Society and the Society for Industrial and Applied Mathematics.
David Erie Nadler is an American mathematician who specializes in geometric representation theory and symplectic geometry. He is currently a professor at the University of California,Berkeley.
