In Preparation:
The quantum Hikita conjecture via quasimaps with Ivan Karpov and Vasily Krylov. Available upon request.
Slant sums of quiver gauge theories with Vasily Krylov and Reese Lance. Available upon request.
Preprints:
Vertex functions of bow varieties and their Mirror Symmetry with Tommaso Botta, (July 2025) arXiv:2507.13219. Submitted.
Vertex functions of type D Nakajima quiver varieties with Jiwu Jang, (Feb 2025) arXiv:2502.13937. Submitted. Developed from an MIT PRIMES project.
Wreath Macdonald polynomials, quiver varieties, and quasimap counts with Jeffrey Ayers, (Oct 2024) arXiv:2410.07399. Under review.
Publications:
On the vertex functions of type A quiver varieties, Letters in Mathematical Physics 114.23 (Feb 2024), arXiv:2308.05094.
Exotic Quantum Difference Equations and Integral Solutions, PhD Thesis.
Euler characteristic of stable envelopes, with Andrey Smirnov, Selecta Mathematica 28 (July 2022), arXiv:2108.07202 .
Elliptic Stable Envelopes of Affine Type A Quiver Varieties, International Mathematics Research Notices, (July 2022), arXiv:2107.09569.
3d mirror symmetry of the cotangent bundle of the full flag variety, Letters in Mathematical Physics 112.100 (Oct 2022), arXiv:2011.08603.
Symplectic Duality of T*Gr(k, n), Mathematical Research Letters 29.3, (2021), arXiv:2008.05516.
Capped vertex with descendants for zero dimensional A_{\infty} quiver varieties, with Andrey Smirnov, Advances in Mathematics 401 (2022), arXiv:2005.12980.
Quasimaps to Zero-Dimensional A_{\infty} Quiver Varieties, with Andrey Smirnov, International Mathematics Research Notices (Jan 2022), arXiv:1912.04834.
Characters of tangent spaces at torus fixed points and 3d mirror symmetry, with Andrey Smirnov, Letters in Mathematical Physics 110 (May 2020), arXiv:1908.01199.