Michael Chmutov

Home Math Teaching Travel/Photos

Broadly I am interested in algebraic combinatorics. My thesis research has focused on the theory of W-graphs; a collection of graphs introduced by Kazhdan and Lusztig to encode certain representations of the Iwahori-Hecke algebra of a Coxeter group. For the most part, I try to find these graphs without having to compute Kazhdan-Lusztig polynomials in the process.

Seminar

I attend the Minnesota Combinatorics Seminar.

Publications

M. Chmtuov, G. Frieden, D. Kim, J. B. Lewis, E. Yudovina An affine generalization of evacuation. (preprint)
M. Chmutov, J. B. Lewis, P. Pylyavskyy. Monodromy in Kazhdan-Lusztig cells in affine type A. (preprint)
M. Chmutov, M. Glick, P. Pylyavskyy. The Berenstein-Kirillov group and cactus groups. (preprint)
M. Chmutov, P. Pylyavskyy, E. Yudovina. Matrix-Ball Construction of affine Robinson-Schensted correspondence. (Selecta Math., read-only, preprint; software)
M. Chmutov, P. Pylyavskyy, E. Yudovina. Matrix-Ball Construction of affine Robinson-Schensted correspondence. FPSAC16 abstract. (poster)
M. Chmutov, R. Karpman, S. Reif. A superdimension formula for $\mathfrak{gl}(m|n)$-modules. (J. Algebra Appl.; preprint)
M. Chmutov, C. Hoyt, S. Reif. A Weyl-type character formula for PDC modules of $\mathfrak{gl}(m|n)$. (J. Lie Theory; preprint)
M. Chmutov, C. Hoyt, S. Reif. Kac-Wakimoto formula for the general linear Lie superalgebra. (Algebra Number Theory.; preprint)
M. Chmutov. The structure of W-graphs arising in Kazhdan-Lusztig theory. Ph.D. thesis.
M. Chmutov. Type A molecules are Kazhdan-Lusztig. (J. Algebraic Combin.; preprint)
M. Chmutov. Type A molecules are Kazhdan-Lusztig. FPSAC 2013 extended abstract. (DMTCS Proceedings).
M. Chmutov, S. Chmutov, Y. Rong. Knight move in chromatic cohomology. (European J. Combin.; preprint)

Talk Slides

Affine Robinson-Schensted Correspondence in Kazhdan-Lusztig theory AMS Eastern Sectional Meeting #1121. September 24, 2016.
Affine Matrix Ball Construction. AMS Central Sectional Meeting #1120. April 17, 2016.
Parallel transport in Kazhdan-Lusztig $W$-graph and Green's $0$-$1$ conjecture in type $B$. AMS Central Sectional Meeting #1102. September 20, 2014.
A combinatorial model for highest weights of finite dimensional representations of $\mathfrak{gl}(m|n)$. AMS Western Sectional Meeting #1095. November 2, 2013.
Type A molecules are Kazhdan-Lusztig. FPSAC '13. June 26, 2013.
Type A molecules are Kazhdan-Lusztig. Minnesota Graduate Student Conference. April 20, 2013.