I am interested in algebraic geometry and geometric representation theory. My current focus is on the geometry of Hitchin systems on curves (and its interaction with nilpotent orbits), moduli of Higgs pairs on higher dimensional varieties and also Bridgeland stability conditions.
Hitchin Systems: Some Recent Advances. with Oleg.Sheinman. Uspekhi Mat. Nauk. 79 (2024), No.4, 131-168.
On parahoric Hitchin Systems over Curves. Internat. J. Math. 34 (2023), No. 13, 22pp.
Parabolic Hitchin Maps and Their Generic Fibers. with Xiaoyu Su and Xueqing Wen. Math. Z. 301 (2022), No.1, 343-372.
On the Generic Fibers and True Base of Parabolic $SO_{2n}$-Hitchin Systems. with Xueqing Wen and Yaoxiong Wen. arxiv.org/abs/2508.15714. 29pp.
Picard Groups of Spectral Varieties and Moduli of Higgs Sheaves. with Xiaoyu Su. arxiv.org/pdf/2409.10296. 34pp.
Finite Subgroups of Symplectic Automorphisms of Supersingular K3 Surfaces in Odd Characteristics. with Zhiwei Zheng. arxiv.org/abs/2406.14499. 33pp.
Springer Correspondence and Mirror Symmetries for Parabolic Hitchin Systems. with Xueqing Wen and Yaoxiong Wen. arXiv.org/abs/2403.07552. 74pp.
Topological Mirror Symmetry of Parabolic Hitchin Systems. with Xiaoyu Su and Xueqing Wen. arXiv:2206.02527. 17pp.
A Noether-Lefschetz Theorem for Spectral Varieties with Applications. with Xiaoyu Su. arXiv:2109.09989. 19pp. (This has been covered by "Picard Groups of Spectral Varieties and Moduli of Higgs Sheaves.")
Generic Fibers of Parahoric Hitchin Systems. arXiv:2008.02899. 30pp. (The published version is under the title "On Parahoric Hitchin Systems over Curves.")