Research Interests:
Primary research interest is algebraic geometry. When I was Ph.D, I focused
on Hurwitz number. Now I am working on Higgs bundles and its related field
from the viewpoint of algebraic geometry.
Employment:
Assistant Professor, South China University of Technology, 2020-Present
Postdoc, Sun Yat-Sen University
Mentor: Changzheng Li 2018 - 2020
Education:
Ph.D., University of Illinois at Urbana-Champaign
Advisor: Maarten Bergvelt 2012-2018
B.S., South China University of Technology, 2008-2012
Publications Preprints:
All of the papers have an arXiv version (with identifier “sun underscore h underscore
4”), which might be different from the published version.
1. A formula about W-operator and its application to Hurwitz number,Discrete Math. 342(3), 715-722 (2019).
2. Degree of the W-operator and Noncrossing Partitions,Bull. Aust. Math. Soc. 101(2), 186-200 (2020).
3. Topological invariants of parabolic G-Higgs bundles(with G. Kydonakis and L. Zhao) Math. Z. 297(1), 585-632 (2021).
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).
5. Deformation of Locally Free Sheaves and Hitchin Pairs over Nodal Curve,J. Korean Math. Soc. 57(4), 809-823 (2020).
6. Monodromy of Rank 2 Parabolic Hitchin Systems,(with G. Kydonakis and L. Zhao) arXiv:1906.03740 (2019).
7. Moduli Problem of Hitchin Pairs over Deligne-Mumford Stack,to appear in Proc. Amer. Math. Soc. (2021).
8. Moduli Space of Λ-modules on Projective Deligne-Mumford Stacks,arXiv: 2003.11674 (2020).
9. Poisson Structures on Moduli Spaces of Higgs Bundles over Stacky Curves,(with G. Kydonakis and L. Zhao) arXiv:2008.12518 (2020).
10. Moduli Spaces of Coherent Sheaves on Projective Deligne-Mumford Stacks over Algebraic Spaces, arXiv:2101.00377 (2021).
11. On the image of Hitchin morphism for algebraic surfaces: The case GLn, (with L. Song) arXiv:2107.01679 (2021).
12. Tame Parahoric Higgs Bundles for a Complex Reductive Group, (with G. Kydonakis and L. Zhao) arXiv:2107.01977 (2021).
13. Tame Parahoric Nonabelian Hodge Correspondence in Positive Characteristic over Algebraic Curves, (with M. Li) arXiv:2109.00850 (2021).
Teaching Experience:
• Linear Algebra and Analytic Geometry (two sections in SCUT)
Calculus I (Math 151 in Rutgers adjoint with SCUT)
Basic Calculus (Math 135 in Rutgers adjoint with SCUT) Fall 2021
• Calculus II (Math 152 in Rutgers adjoint with SCUT) Spring 2021
• Finite Math (Math 124, UIUC) Fall 2017
• Calculus II (Math 231, UIUC) Spring 2017
• Calculus II (Math 231, UIUC) Fall 2016
• Calculus I (Math 221, UIUC) Fall 2015
Talks:
• On the Image of Hitchin Morphism for Algebraic Surfaces Chern Institute NanKai University August 2021
• Moduli Space of Coherent Sheaves on Root Stacks Geometry Seminar, Shanghai Normal University November 2020
• Moduli Space of Hitchin pairs over Deligne-Mumford Stack Geometry Seminar, Fudan University November 2019
• Moduli Space of Hitchin pairs over Deligne-Mumford Stack Topology and Geometry Seminar, HUST September 2019
• Connected Components of the Moduli Space of Parabolic Sp(2n,R)-Higgs Bundles Geometry Seminar, Chern Institute Nankai University March 2019
• W-Operators and Hurwitz Numbers UIUC Representation Theorey Seminar, UIUC September 2017
• W-Operator and a Generating Function of Hurwitz Numbers AMS Sectional Meeting, University at Buffalo September 2017
