Alexander B. Goncharov (born April 7, 1960) is a Soviet American mathematician and the Philip Schuyler Beebe Professor of Mathematics at Yale University. He won the EMS Prize in 1992.
Goncharov won a gold medal at the International Mathematical Olympiad in 1976. He attained his doctorate at Lomonosov Moscow State University in 1987, under supervision of Israel Gelfand with thesis Generalized conformal structures on manifolds. [1] Goncharov was an Invited Speaker at the 1994 International Congress of Mathematicians and gave a talk Polylogarithms in arithmetic and geometry.
In 2019, Goncharov was appointed the Philip Schuyler Beebe Professor of Mathematics at Yale University, [2] as well as the Gretchen and Barry Mazur Chair at the Institut des hautes études scientifiques. [3]
In algebraic geometry, a supersingular K3 surface is a K3 surface over a field k of characteristic p > 0 such that the slopes of Frobenius on the crystalline cohomology H2(X,W(k)) are all equal to 1. These have also been called Artin supersingular K3 surfaces. Supersingular K3 surfaces can be considered the most special and interesting of all K3 surfaces.
Luc Illusie is a French mathematician, specializing in algebraic geometry. His most important work concerns the theory of the cotangent complex and deformations, crystalline cohomology and the De Rham–Witt complex, and logarithmic geometry. In 2012, he was awarded the Émile Picard Medal of the French Academy of Sciences.
In mathematics, a Tate vector space is a vector space obtained from finite-dimensional vector spaces in a way that makes it possible to extend concepts such as dimension and determinant to an infinite-dimensional situation. Tate spaces were introduced by Alexander Beilinson, Boris Feigin, and Barry Mazur (1991), who named them after John Tate.
Mathieu Lewin is a French mathematician and mathematical physicist who deals with partial differential equations, mathematical quantum field theory, and mathematics of quantum mechanical many-body systems.
In algebraic geometry, the Bott–Samelson resolution of a Schubert variety is a resolution of singularities. It was introduced by Bott & Samelson (1958) in the context of compact Lie groups. The algebraic formulation is independently due to Hansen (1973) and Demazure (1974).
In algebraic geometry, a Newton–Okounkov body, also called an Okounkov body, is a convex body in Euclidean space associated to a divisor on a variety. The convex geometry of a Newton–Okounkov body encodes (asymptotic) information about the geometry of the variety and the divisor. It is a large generalization of the notion of the Newton polytope of a projective toric variety.
Sorin Teodor Popa is a Romanian American mathematician working on operator algebras. He is a professor at the University of California, Los Angeles.
Charles Herbert ClemensJr. is an American mathematician specializing in complex algebraic geometry.
Thomas Jones Enright was an American mathematician known for his work in the algebraic theory of representations of real reductive Lie groups.
Carlos Tschudi Simpson is an American mathematician, specializing in algebraic geometry.
Gail Letzter is an American mathematician specializing in the representation theory of quantum groups. Letzter is technical director of the mathematics research group of the National Security Agency.
Jean-Pierre Demailly was a French mathematician who worked in complex geometry. He was a professor at Université Grenoble Alpes and a permanent member of the French Academy of Sciences.
Lawrence Man Hou Ein is a mathematician who works in algebraic geometry.
Vadim V. Schechtman is a Russian mathematician who teaches in Toulouse.
Stefaan Vaes is a Belgian mathematician.
Vincent Pilloni is a French mathematician, specializing in arithmetic geometry and the Langlands program.
Guy David is a French mathematician, specializing in analysis.
Christof Geiß, also called Geiss Hahn or Geiß Hahn, is a German mathematician.
Anastasia Volovich is a professor of physics at Brown University. She works on theoretical physics: quantum field theory, general relativity, string theory and related areas in mathematics.
Adrian Ioviță is a Romanian-Canadian mathematician, specializing in arithmetic algebraic geometry and p-adic cohomology theories.