Publications, Preprints, Notes and Slides

All my publications and preprints can be found at arXiv. The arXiv version might be slightly different from the published version.

Publications

  1. Degree of the W-operator and Noncrossing Partitions, Bull. Aust. Math. Soc. 101(2), 182-200 (2020). arXiv:1610.06624
  2. A formula about W-operator and its application to Hurwitz number, Discrete Math. 342(3), 715-722 (2019). arXiv:1611.04700
  3. Topolocail invariants of parabolic G-Higgs bundles (with G. Kydonakis and L. Zhao), Math. Z. 297(1), 585-632 (2021). arXiv:1806.00884
  4. The Beauville-Narasimhan-Ramanan correspondence for twisted Higgs V-bundles and components of parabolic Sp(2n;R)-Higgs moduli (with G. Kydonakis and L. Zhao), Trans. Amer. Math. Soc. 374(6), 4023-4057 (2021). arXiv:1901.09148
  5. Deformation of Locally Free Sheaves and Hitchin Pairs over Nodal Curve, J. Korean Math. Soc. 57(4), 809-823 (2020). arXiv:1904.02658
  6. Monodromy of Rank 2 Parabolic Hitchin Systems (with G. Kydonakis and L. Zhao), J. Geom. Phys 171, Paper No. 104411, 18pp (2022). arXiv:1906.03740 The journal version omit a lot of details, and we refer the reader to arxiv for more details.
  7. Moduli Problem of Hitchin Pairs over Deligne-Mumford Stack, Proc. Amer. Math. Soc. 150(1), 131-143 (2022). arXiv:1909.04543
  8. Poisson Structures on Moduli Spaces of Higgs Bundles over Stacky Curves (with G. Kydonakis and L. Zhao), Adv. Geom., vol 24, no. 2, 163-182 (2024). arXiv:2008.12518.
  9. On the image of Hitchin morphism for algebraic surfaces: The case $GL_n$ (with L. Song), Int. Math. Res. Not. IMRN (2024), no.1, 492–514 (2024). arXiv:2107.01679
  10. Tame Parahoric Nonabelian Hodge Correspondence in Positive Characteristic over Algebraic Curves (with M. Li), Selecta Math. 30, no.4, Paper No. 60, 36 pp. (2024). arXiv:2109.00850
  11. Logahoric Higgs Torsors for a Complex Reductive Group (with G. Kydonakis and L. Zhao), Math. Ann. 388, 3183-3228 (2024). arXiv:2107.01977
  12. Meromorphic Parahoric Higgs Torsors and Filtered Stokes G-local Systems on Curves (with P. Huang), Adv. Math. 429, Paper No. 109183, 38 pp. (2023). arXiv:2212.04939
  13. On the Existence of Gr-semistable Filtrations of Orthogonal/Symplectic lambda-connections (with M. Sheng and J. Wang), J. Ec. polytech. Math. 11, 1181-1218 (2024). arXiv: 2401.09956

Preprints

  1. Moduli Space of $\Lambda$-modules on Projective Deligne-Mumford Stacks, arXiv: 2003.11674 (2020).
  2. Tame Parahoric Nonabelian Hodge Correspondence on Curves (with P. Huang, G. Kydonakis and L. Zhao), arXiv: 2205.15475 (2022).
  3. Moduli Spaces of Filtered (Stokes) G-local Systems on Curves (with P. Huang), arXiv: 2304.09999 (2023).
  4. Filtered Stokes G-local Systems in Nonabelian Hodge Theory on Curves (with P. Huang), arXiv: 2404.13553 (2024).
  5. A Nonabelian Hodge Correspondence for Principal Bundles in Positive Characteristic (with M. Sheng and J. Wang), arXiv: 2405.09947 (2024).
  6. Rigid $G$-connections and Nilpotency of $p$-curvatures (with P. Huang and Y. Qin), arXiv: 2410.09929 (2024).

Notes

None

Slides

2022.08 Tame Parahoric Nonabelian Hodge Correspondence

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