Research
My research focus is geometric representation theory, but I'm more broadly interested in its connections to algebraic geometry, mathematical physics, the Langlands program, and homotopy theory.
Research Articles
- Terminal Singularities of the Affine Closure of T*(SLn/[P, P]) - Appendix (with Nikolay Grantcharov) - (Talk | Notes)
- Crepant Partial Resolutions of the Nilpotent Cone via Hamiltonian Reduction (with Gwyn Bellamy) - (Talk | Notes)
- The Coordinate Ring of the Universal Centralizer via Demazure Operators (with Victor Ginzburg) - Talk
- Functoriality of Coulomb Branches (with Ben Webster) - (Talk | Notes)
- Quantization of the Universal Centralizer and Central D-modules (with Victor Ginzburg) - Talk
- The Cotangent Bundle of G/Up and Kostant-Whittaker Descent
- Differential Operators on the Base Affine Space of SLn and Quantized Coulomb Branches (with Harold Williams) - Talk
- Proof of the Ginzburg-Kazhdan Conjecture - (Talk | Notes)
- Classification of Nondegenerate G-Categories - Slides
- The Universal Category 𝒪 and the Gelfand-Graev Action
- The Coarse Quotient for Affine Weyl Groups and Pseudo-reflection Groups
Undergraduate Research
- New Results on Semipositive Matrices (with Jonathan Dorsey, Charles Johnson, and Morrison Turnansky)
- Linear Preservers of Semipositive Matrices (with Jonathan Dorsey, Nathaniel Jacobson, Charles Johnson, and Morrison Turnansky)