Semion Alesker

Biography

Semion Alesker is working as professor in Mathematical Science department of Tel Aviv University, Israel. His field of research interests are Commutative Algebra and Algebraic Geometry 1; Topics in Algebraic Geometry.

Research Interest

Valuations on polytopes. McMullen's polytope algebra, The Brunn-Minkowski inequality, Mixed volumes: basic properties and the Aleksandrov-Fenchel inequality, Klain-Schneider characterization of simple translation invariant continuous valuations, Hadwiger's characterization of isometry invariant continuous valuations, Irreducibility theorem and McMullen's conjecture on translation invariant continuous valuations, The multiplicative structure on valuations, Valuations invariant under a group, Applications to integral geometry.