Papers:

1. On invariant 1-dimensional representations of a finite W-algebra.  arxiv:1810.11531, 14 pages
2. On the affinization of a nilpotent orbit cover.  arxiv:2003.09356, 19 pages
3. Unipotent Ideals and Harish-Chandra Bimodules, joint with Ivan Losev and Lucas Mason-Brown.  arxiv:2108.03453, 191 pages
4. Unipotent Ideals for Spin and Exceptional Groups, joint with Lucas Mason-Brown.  arxiv:2109.09124, 80 pages

Bachelor diploma:

On Configuration Spaces and Modules over Little Discs Operad.  pdf, 27 pages

 

Notes for some of my talks:

1. Unipotent representations from a geometric point of view, “Geometry, Symmetry and Physics” seminar at Yale.  slides See also slides in Russian for a talk given on Zoomerfest seminar on a similar topic.
2. Construction of moduli space of Higgs bundles and nonabelian Hodge correspondence, given at learning seminar on Hitchin moduli spaces. Slides
3. Soergel’s theorems and Soergel bimodules, given at the MIT-Northeastern Graduate Student Seminar on category O and Soergel bimodules. Notes for part 1 and for part 2
4. Elliptic Hall algebra by generators and relations, given at the MIT-Northeastern Graduate Student Seminar on Double Affine Hecke Algebras and Elliptic Hall Algebras. Notes