Publications

Authors are listed alphabetically, as is customary in mathematics.

Published

1. Tame parahoric nonabelian Hodge correspondence on curves with Pengfei Huang, Georgios Kydonakis and Hao Sun. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, forthcoming. Extends the nonabelian Hodge correspondence over a noncompact curve beyond the GL(n,C) case to an arbitrary complex reductive group, replacing weighted filtrations with torsors over Bruhat–Tits parahoric group schemes. arXiv:2205.15475 Journal
2. Logahoric Higgs torsors for a complex reductive group with Georgios Kydonakis and Hao Sun. Mathematische Annalen 388 (2024), 3183–3228. Introduces logahoric Higgs torsors — parahoric torsors carrying a logarithmic Higgs field — establishes a stability notion for them, and constructs a moduli space that turns out to carry an algebraic Poisson structure. arXiv:2107.01977 Journal
3. Poisson structures on moduli spaces of Higgs bundles over stacky curves with Georgios Kydonakis and Hao Sun. Advances in Geometry 24 (2024), no. 2, 163–182. Constructs Poisson structures via Lie algebroids on moduli spaces of twisted stable Higgs bundles over stacky curves, with parabolic Higgs bundles over a root stack as the guiding example. arXiv:2008.12518 Journal
4. Monodromy of rank 2 parabolic Hitchin systems with Georgios Kydonakis and Hao Sun. Journal of Geometry and Physics 171 (2022), 104411. Computes the monodromy of the Hitchin fibration for parabolic G-Higgs bundles when G is SL(2,R), GL(2,R) or PGL(2,R), which yields an exact count of the connected components of these moduli spaces. arXiv:1906.03740 Journal
5. The Beauville–Narasimhan–Ramanan correspondence for twisted Higgs V-bundles and components of parabolic Sp(2n,R)-Higgs moduli spaces with Georgios Kydonakis and Hao Sun. Transactions of the American Mathematical Society 374 (2021), no. 6, 4023–4057. Generalises the Beauville–Narasimhan–Ramanan correspondence to parabolic Higgs bundles with regular singularities, then applies Bott–Morse theory to count exactly the components of maximal parabolic Sp(2n,R)-Higgs moduli spaces. arXiv:1901.09148 Journal
6. Topological invariants of parabolic G-Higgs bundles with Georgios Kydonakis and Hao Sun. Mathematische Zeitschrift 297 (2021), 585–632. Computes the dimension of certain Teichmüller components for split real forms and introduces new topological invariants for maximal parabolic structures, using orbifold cohomology to count connected components. arXiv:1806.00884 Journal
7. Distributed multicast tree construction in wireless sensor networks with Hongyu Gong, Luoyi Fu, Xinzhe Fu, Kainan Wang and Xinbing Wang. IEEE Transactions on Information Theory 63 (2017), no. 1, 280–296. A distributed algorithm for constructing multicast trees in wireless sensor networks. Journal
8. A distributed algorithm to construct multicast trees in WSNs: an approximate Steiner tree approach with Hongyu Gong, Kainan Wang, Weijie Wu and Xinbing Wang. Proceedings of the 16th ACM International Symposium on Mobile Ad Hoc Networking and Computing (MobiHoc ’15), Hangzhou, 2015, 347–356. A distributed construction of multicast trees in wireless sensor networks, approached through an approximation to the Steiner tree problem. Proceedings

Under review

1. Topological string blowup equations via stable pairs 2026. Proves blowup equations for the two-variable torus-equivariant symmetrized K-theoretic stable-pair series of the local Hirzebruch threefolds, by identifying four-chart localization coefficientwise with equivariant Euler characteristic series on moduli spaces of framed rank-two sheaves. arXiv:2608.25397
2. Level structures on parahoric torsors and complete integrability with Georgios Kydonakis. 2025. Introduces D-level structures on parahoric torsors and a canonical moment map, inducing a Poisson structure on logahoric Higgs moduli and a family of algebraically completely integrable systems that unifies the Beauville system, the Gaudin model, elliptic KP solitons and Calogero–Moser. arXiv:2506.12302
3. Gopakumar–Vafa invariants and Macdonald formula 2023. Computes Maulik–Toda's perverse-sheaf Gopakumar–Vafa invariants for the total space of the canonical bundle of P², and proposes a Gopakumar–Vafa / Pandharipande–Thomas correspondence at the level of perverse sheaves. arXiv:2306.05547

Thesis

1. Gopakumar–Vafa invariant and Macdonald formula Ph.D. dissertation, University of Illinois at Urbana–Champaign, 2021. Advisor: Sheldon Katz. IDEALS