Semyon Alesker

Semyon Alesker (Hebrew סמיון אלסקר; born 1972 ) is an Israeli mathematician, the fundamental contributions to the field of convex geometry and integral geometry provided.

Alesker his doctorate in 1999 Vitali Milman at the University of Tel Aviv, and is now a professor at this university.

Alesker dealt in particular with reviews of convex sets, that is defined on these additive functionals generalize the degree. The roots of the theory lie in the experiments ( since Max Dehn ) of the solution of the 3rd Hilbert problem for the decomposition of equality of polyhedra. He expanded the theory by Hugo Hadwiger (1957 ) for the characterization of intrinsic volumes (continuous invariant under rigid motions reviews ) for a pure translational invariance with respect, on the other hand regarding pure rotational invariance. Drehinvariante steady reviews he approximated by polynomial reviews which he characterized by methods of representation theory of the orthogonal group. For continuous translation invariant reviews ( Hadwiger for dimension 1,2 -characterized ), he proved in 2001 a conjecture of Peter McMullen, the mixed volumes are close in space translationsinvarianter continuous ratings (in other words, that translation invariant continuous valuations can be represented by linear combinations of mixed volumes). Alesker also defined new operations for reviews, products and Fourier - and radon transforms for translation invariant continuous reviews. In a series of works, he also introduced a theory of reviews on manifolds (instead of the usually on convex sets ) a.

In 2004 he received the Erdös Prize and in 2000 the EMS price. In 2002 he was invited speaker at the International Congress of Mathematicians (ICM ) in Beijing ( Algebraic structures on valuations, Their properties and applications )