In Preparation:
The quantum Hikita conjecture via quasimaps with Ivan Karpov and Vasily Krylov. Available upon request.
Preprints:
Slant sums of quiver gauge theories with Vasily Krylov and Reese Lance, (Oct 2025) arXiv:2510.02496.
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.
Publications:
Wreath Macdonald polynomials, quiver varieties, and quasimap counts with Jeffrey Ayers, Selecta Mathematica New Series, 32, 29 (March 2026) arXiv:2410.07399.
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.