In geometric group theory, Gromov's theorem on groups of polynomial growth, first proved by Mikhail Gromov, characterizes finitely generated groups of polynomial growth, as those groups which have nilpotent subgroups of finite index.
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.
Christopher Deninger is a German mathematician at the University of Münster. Deninger's research focuses on arithmetic geometry, including applications to L-functions.
In mathematical representation theory, a good filtration is a filtration of a representation of a reductive algebraic group G such that the subquotients are isomorphic to the spaces of sections F(λ) of line bundles λ over G/B for a Borel subgroup B. In characteristic 0 this is automatically true as the irreducible modules are all of the form F(λ), but this is not usually true in positive characteristic. Mathieu (1990) showed that the tensor product of two modules F(λ)⊗F(μ) has a good filtration, completing the results of Donkin (1985) who proved it in most cases and Wang (1982) who proved it in large characteristic. Littelmann (1992) showed that the existence of good filtrations for these tensor products also follows from standard monomial theory.
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.
Lisa Goldberg is a financial economist and statistician who serves at the University of California, Berkeley as director of research at the Center for Risk Management Research and as Adjunct Professor of Statistics. She is also the Co-Director for the Consortium for Data Analytics in Risk at UC Berkeley.
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.
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 Rebecca Letzter was an American mathematician specializing in the representation theory of quantum groups, and formerly technical director of the mathematics research group of the National Security Agency.
In mathematics, infinitesimal cohomology is a cohomology theory for algebraic varieties introduced by Grothendieck. In characteristic 0 it is essentially the same as crystalline cohomology. In nonzero characteristic pOgus (1975) showed that it is closely related to etale cohomology with mod p coefficients, a theory known to have undesirable properties.
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.
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.
