My research focus is geometric representation theory, but I'm more broadly interested in its connections to general representation theory, algebraic geometry, and mathematical physics.

Publications

  1. Linear preservers of semi-positive matrices (with J. Dorsey, N. Jacobson, C. Johnson, and M. Turnansky)
  2. New results on semipositive matrices (with J. Dorsey, C. Johnson, and M. Turnansky)
  3. The coarse quotient for affine Weyl groups and pseudo-reflection groups
  4. The universal category O and the Gelfand-Graev action (Slides)
  5. Classification of nondegenerate G-categories (Slides)
  6. Proof of the Ginzburg-Kazhdan conjecture (Talk | Notes)
  7. Differential operators on the base affine space of SL_n and quantized Coulomb branches (with H. Williams) (Talk)
  8. The cotangent bundle of G/U_P and Kostant-Whittaker descent
  9. Quantization of the universal centralizer and central D-modules (with V. Ginzburg) (Talk)
  10. Functoriality of Coulomb branches (with B. Webster) (Talk)