My research interests are in homotopy theory of DG-categories and homotopy descent, categorical braid group actions and their invariants, matrix factorizations and derived algebraic geometry, geometric representation theory, chiral algebras, and semiinfinite cohomology.
Over the years, I have taught undergraduate and Master's courses such as Complex Analysis and Advanced Algebra, have organized graduate seminars such as DG Categories and Homotopical Algebra, and have supervised PhD students.
