Research

My research focuses on algebraic geometry and representation theory. More specifically, I am interested in moduli stacks of Higgs bundles and bundles with connections, character varieties, and moduli spaces of quiver representations. Recently, I have also become interested in questions surrounding symplectic resolutions.

You can find my papers on arXiv and Google Scholar.

Publications and Preprints

3. Invariant algebraic connections on connected reductive groups (with Rudrendra Kashyap). Algebras and Representation Theory. [Journal]. [arXiv].
4. Motivic classes of stacks in finite characteristic and applications to stacks of Higgs bundles. Submitted. [arXiv: 2509.09861].
5. Explicit formulas for mixed Hodge polynomials of character varieties of nilpotent groups (with Rahul Singh). To appear in Asian Journal of Mathematics. [arXiv: 2410.10008].

Work in Progress

1. Motives of moduli spaces of stable quiver representations (with Sergey Mozgovoy, Markus Reineke and Rahul Singh).
2. Motivic classes of stacks of bundles with connections (with Roman Fedorov).