Nikolay Grantcharov

Research

My research is in geometric representation theory. I am currently interested in understanding hidden "Fourier" symmetries on homogeneous spaces such as \(G/U\) and its parabolic analogues. I am also exploring the implications these symmetries provide for the geometry of the cotangent bundles of these homogeneous spaces and the associated D-module categories.

Papers

  1. Deformation Theory of the \((C_n^\vee,C_n)\)-DAHA . Submitted, 2026. [ PDF ]
  2. Quasi-Classical Braverman–Kazhdan Intertwiners via Quiver Varieties , with Aaron Slipper. submitted, 2026. [ PDF ]
  3. Infinitesimal Neighborhoods of BunG in Positive Characteristic . submitted, 2024. [ PDF ]
  4. On BBW Parabolics for Simple Classical Lie Superalgebras , with Dimitar Grantcharov, Daniel K. Nakano, and Jerry Wu. Advances in Mathematics 381 (2021), 107647. [ PDF ]
  5. Extension Quiver for Lie Superalgebra q(3) , with Vera Serganova. SIGMA 16 (2020), 141. [ PDF ]