Kostiantyn Tolmachov

I am currently a postdoc at the University of Edinburgh.
Email: tolmak at khtos.com.
Research interests: geometric representation theory.

Linear structure on a finite Hecke category in type A, 2024. [arXiv].
Equivariant derived category of a reductive group as a categorical center,joint with R. Bezrukavnikov, A. Ionov, Y. Varshavsky, 2023. [arXiv].
Exterior powers of a parabolic Springer sheaf on a Lie algebra, joint with R. Bezrukavnikov, 2022, updated 2024. [arXiv].
Monodromic model for Khovanov-Rozansky homology, joint with R. Bezrukavnikov, 2020. [arXiv] [journal].
Thesis: Towards a functor between affine and finite Hecke categories in type A, MIT, 2018. [PDF].

In 2015-2016, I mentored UROP+ students. See UROP+ webpage.
Graduate seminar on Koszul duality patterns in representation theory I co-organized. [webpage].

Some study seminars I gave talks at:

Graduate seminar on category O and Soergel bimodules, Fall 2017. [webpage (with notes)].
Graduate seminar on Quantum cohomology and Representation theory, Spring 2014. [webpage (with notes)].
Graduate seminar on Quantum cohomology and Representation theory, Fall 2013. [webpage (with notes)].

Updated: 5 May 2023.