Victor Buchstaber

Victor Matveevich Buchstaber (Russian: Виктор Матвеевич Бухштабер, born 1 April 1943, Tashkent, Soviet Union) is a Soviet and Russian mathematician known for his work on algebraic topology, homotopy theory, and mathematical physics.

He devised filtrations in Hopf algebras and the Buchstaber spectral sequence, which were successfully applied to the calculation of stable homotopy groups of spheres.

He is also well known for his work on sigma-functions on universal spaces of Jacobian varieties of algebraic curves that give effective solutions of important integrable systems.

Buchstaber created an algebro-functional theory of symmetric products of spaces and described algebraic varieties of polysymmetric polynomials.

He has supervised more than 30 Ph.D. students, including Serge Ochanine, Iosif Polterovich, Taras Panov and Alexander Gaifullin.