Kostiantyn Tolmachov

CV

Research:

1. Gluing parabolic character sheaves [arXiv] 2026, preprint.
2. Generalized Markov traces and Jucys-Murphy elements [arXiv] with H. Zhylinskyi preprint 2025, accepted to the Glasgow Mathematical Journal 2026.
3. On a t-exactness property of the Harish-Chandra transform [arXiv] with R. Gonin, A. Ionov. 2024, updated 2026, preprint.
4. Linear structure on a finite Hecke category in type A [arXiv] [journal] preprint 2024, published in International Mathematics Research Notices, Volume 2025, Issue 21, November 2025.
5. Equivariant derived category of a reductive group as a categorical center [arXiv] with R. Bezrukavnikov, A. Ionov, Y. Varshavsky. preprint 2023, 2025 accepted to The Israel Journal of Mathematics.
6. Exterior powers of a parabolic Springer sheaf on a Lie algebra [arXiv] [journal] with R. Bezrukavnikov 2022, updated 2024, published in Cont. Math. Volume 829, proceedings of the 14th Ukraine Algebra Conference.
7. Monodromic model for Khovanov-Rozansky homology [arXiv] [journal] with R. Bezrukavnikov preprint announced 2020, published in Crelles Journal, Volume 2022, Issue 787.
8. Towards a functor between affine and finite Hecke categories in type A [PDF] 2018, thesis, MIT. The main results are superseded by arXiv:2403.07146 above.

Some recent activity:

• Lie Groups and Algebraic groups, University of Hamburg, Summer 2025. [page]
• Yulia's Dream Program, 2023-2026. [webpage].
• Affine Springer Theory reading group, Edinburgh, Winter-Spring 2022. [webpage].
• AIM Research Community "Link homology", Summer-Fall 2021. [videos].
• [more].

Links

Updated: 17 August 2026.