Evgeny Mukhin
ProfessorDirector, Graduate Programs
Department of Mathematical Sciences
Education
 BS and MS: Moscow State University, mechmat (1992, with Honors), Russia
 PhD: University of North Carolina at Chapel Hill (1998), USA
 PostDoc: MSRI (1999), University of California at Berkeley (20002001)
Research
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 finitedimensional representations of affine quantum groups, to the combinatorics of representations of affine Lie algebras and Walgebras, to the theory of Jack and Macdonald polynomials, to the representation theory of quantum toroidal algebras, to the theory of quantum and classical KnizhnikZamolodchikov equations.
His major results include

the proofs of a number of fundamental conjectures concerning the qcharacters of representations of quantum affine algebras (together with E. Frenkel of UC Berkeley)

the proofs of the several versions of the ShapiroShapiro conjecture, of the transversality of Real Schubert Calculus and of the simplicity of spectrum of the Gaudin model (together with V. Tarason of IUPUI and A. Varchenko of UNC Chapel Hill)

the pioneering study of Macdonald polynomials at negative rational values of the coupling constant (together with B. Feigin of Moscow Higher School of Economics, M. Jimbo of Rikkyo University, and T. Miwa of Kyoto University).
Prof. Mukhin has an impressive list of collaborators which includes researchers from many countries, both senior renown scientists and young mathematicians.
Publications & Professional Activities
Prof. Mukhin has published over 90 scientific papers in refereed journals. Most of the papers can be downloaded from the archive at http://www.arxiv.org/find/math. The published versions can be found through MathSciNet. The journal references are updated at the personal website.
The few selected publications are:
 E.E. Demidov, Yu.I Manin, E. Mukhin, D.V. Zhdanovich, Nonstandard quan
tum deformations of GL(N) and constant solutions of the YangBaxter equation,
Common trends in mathematics and quantum theories, Kyoto, 1990. Progr.
Theor. Phys. Suppl. 102 (1991), 203218  E. Frenkel, E. Mukhin, Combinatorics of qcharacters of finitedimensional representations of quantum affine algebras, arXiv:math/9911112, Commun. Math. Phys., 216 (2001), 2357
 E. Mukhin, V. Tarasov, A. Varchenko, The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz, arXiv:math/0512299, Annals of Mathematics (2) 170 (2009), no. 2, 863881
 E. Mukhin, V. Tarasov, A. Varchenko, Schubert calculus and representations of the general linear group, arXiv:07114079, J. Amer. Math. Soc. 22 (2009), no. 4, 909940
 E. Mukhin, V. Tarasov, A. Varchenko, Bethe algebra of Gaudin model, CalogeroMoser space and Cherednik algebra, arXiv:09065185 (2009), 124, accepted to IMRN
 E. Mukhin, C. A. S. Young, Extended Tsystems, arXiv:1104.3094, Selecta Math. (N.S.) 18 (2012), no. 3, 591631
 B. Feigin, M. Jimbo, T. Miwa, E. Mukhin, Symmetric polynomials vanishing on
the shifted diagonals and Macdonald polynomials, math.QA/0209042, Int. Math. Res. Not. (2003), no. 18, 10151034  A. Molev, E. Mukhin, Invariants of the vacuum module associated with the Lie superalgebra gl(11), arXiv:1502.03511, J. Phys. A, 48 (2015), no.31, 314001, 120
 E. Mukhin, V. Tarasov, Lower bounds for numbers of real solutions in problems of Schubert calculus, arXiv:1404.7194, Acta Mathematica, 217 (2016), no.1, 177193