I am working on Algebraic Geometry, Differential Geometry, and some Mathematical Physics, more explicitly:
Moduli spaces of Higgs bundles and local systems
Geometry of moduli spaces of flat bundles
Nonabelian Hodge theory (NAHT) over noncompact varieties
Applications of NAHT to higher Teichmüller theory
Quiver representations and their moduli
Mirror symmetry and geometric Langlands
♠︎. Symmetric spaces for groups over involutive algebras and applications to Higgs bundles (avec G. Kydonakis, E. Rogozinnikov et A. Wienhard), arXiv: 2509.02002
♠︎. Rigid G-connections and nilpotency of p-curvatures (avec Y. Qin et H. Sun), arXiv: 2410.09929
♠︎. Parahoric reduction theory of formal connections (or Higgs fields) (avec Z. Hu, R. Sun et R. Zong), arXiv: 2409.05073
♠︎. Filtered Stokes G-local systems in nonabelian Hodge theory on curves (avec H. Sun), arXiv: 2404.13553
♣︎. Moduli spaces of parabolic bundles over ℙ¹ with five marked points (avec Z. Hu et R. Zong), Journal de Mathématiques Pures et Appliquées, 205 (2026), 103775.
♣︎. Moduli spaces of filtered G-local systems on curves (avec H. Sun), Advances in Mathematics, 479PA (2025), 110420.
♣︎. Meromorphic parahoric Higgs torsors and filtered Stokes G-local systems (avec H. Sun), Advances in Mathematics, 429 (2023), 109183.
♠︎. Tame parahoric nonabelian Hodge correspondence on curves (avec G. Kydonakis, H. Sun et L. Zhao), arXiv: 2205.15475
♣︎. Curvature formulas related to a family of stable Higgs bundles (avec Z. Hu), Communications in Mathematical Physics, 387 (2021), 1491-1514.
♣︎. Simpson filtration and oper stratum conjecture (avec Z. Hu), manuscripta mathematica, 167 (2022), 653-673.
♣︎. Generalized Deligne-Hitchin twistor spaces: construction and properties (avec Z. Hu et R. Zong), Bulletin des Sciences Mathématiques, 191 (2024), 103396.
♣︎. Non-Abelian Hodge theory and related topics, SIGMA, 16 (2020), 029, 34 pages. arXiv: 1908.08348
♣︎. Simpson-Mochizuki correspondence for λ-flat bundles (avec Z. Hu), Journal de Mathématiques Pures et Appliquées, 164 (2022), 57-92.
♣︎. The Hitchin-Kobayashi correspondence for quiver bundles over generalized Kähler manifolds (avec Z. Hu), Journal of Geometric Analysis, 30 (2020), 3641-3671.
♣︎. A note on fibrations of G₂-manifolds (avec Z. Hu), manuscripta mathematica, 160 (2019), 523-542.
♣︎. Quivers from Higgs bundles over ℙ¹ and quiver gauge theory (avec Z. Hu), Journal of Mathematical Physics, 61 (2020), 011704.
♣︎. Stability and indecomposability of the representations of A𝗇-type, Communications in Algebra, 48 (2020), 2905-2919.
♣︎. Degenerate, strong and stable Yang-Mills-Higgs pairs (avec Z. Hu), Journal of Geometry and Physics, 120 (2017), 73-88.
♣︎. A note on the space of Kähler metrics (avec Z. Hu), Journal of Geometry and Physics, 116 (2017), 1-9.
Reviewer for Zentralblatt MATH (zbMATH) and Mathematical Reviews (MathSciNet).
Théorie de Hodge Non-Abélienne et des Spécialisations, defended on 12 June, 2020. Link here.