Research
Currently I work on 2d mirror symmetry for Coulomb branches and its applications for link invariants.
Publications
- with A. Smirnov, "Stable envelopes from local systems", in preparation, 2025.
- with M. Aganagic, Y. Li, V. Shende, and P. Zhou "Quiver Hecke algebras from Floer homology in Coulomb branches", 2024, arXiv:2406.04258.
- "Stable Envelopes for Slices of the Affine Grassmannian", Selecta Math. Vol. 30, #73, 2024. https://doi.org/10.1007/s00029-024-00953-3
- "Quantum Differential Equation for Slices of the Affine Grassmannian", 2022, arXiv:2210.17061. Submitted to Selecta Mathematica.
- "Quantum Cohomology of Slices of the Affine Grassmannian." PhD Thesis, 2020. https://doi.org/10.7916/d8-vnkw-ps05
- with I. Cherednik "DAHA and iterated torus links." Categorification in Geometry, Topology, and Physics. pp. 159-267, 2017. https://doi.org/10.1090/conm/684
- with I. Cherednik "DAHA and iterated torus knots." Algebr. Geom. Topol. 16 (2) 843 - 898, 2016. https://doi.org/10.2140/agt.2016.16.843
- "Modified Hamilton formalism for fields." Theor Math Phys 176, 1067-1086, 2013. https://doi.org/10.1007/s11232-013-0089-y