Personal Website

Expertise

Prof. Mukhin studies symmetries and structures arising in the context of conformal field theory, quantum field theory and exactly solvable models of statistical physics. He is often working on the border of several areas of mathematics, employing a combination of tools from representation theory, combinatorics, and analysis.

He has made a number of important contributions to the theory of algebraic Bethe ansatz, to the theory of finite-dimensional representations of affine quantum groups, to the combinatorics of representations of affine Lie algebras and W-algebras, to the theory of Jack and Macdonald polynomials, to the representation theory of quantum toroidal algebras, to the theory of quantum and classical Knizhnik-Zamolodchikov equations.

He has made a number of important contributions to the theory of algebraic Bethe ansatz, to the theory of finite-dimensional representations of affine quantum groups, to the combinatorics of representations of affine Lie algebras and W-algebras, to the theory of Jack and Macdonald polynomials, to the representation theory of quantum toroidal algebras, to the theory of quantum and classical Knizhnik-Zamolodchikov equations.

Affiliations

Communities

Mathematics, Mathematics

Degrees

PhD, University of North Carolina at Chapel Hill, 1998

BS, Moscow State University, 1992

MS, Moscow State University, 1992

BS, Moscow State University, 1992

MS, Moscow State University, 1992

Keywords

mathematical physics