I am an Assistant Professor at the School of Mathematics, Sun Yat-sen University, Guangzhou, where I have been working since August 2025.
My research interests are differential geometry and partial differential equations, especially geometric flows and their applications. My publications and preprints are listed below. The Research page collects weekly updates on Hessian equations, geometric flows and related geometric analysis.
Education and Employment
- August 2025–present: Assistant Professor, School of Mathematics, Sun Yat-sen University.
- 2023–July 2025: Postdoctoral Researcher, Key Laboratory of Mathematics and Its Applications, Peking University. Mentor: Professor Yuguang Shi.
- 2017–early 2023: Ph.D., Department of Mathematical Sciences, Tsinghua University. Advisor: Professor Haizhong Li.
- 2013–2017: B.Sc. in Mathematics, Sichuan University.
Recent News
- August 2026: New preprint with Weisong Dong: Interior Hessian estimates for Hessian quotient equations.
- August 2026: Our paper with Han Hong, Curvature estimates for semi-convex solutions of asymptotic Plateau problem in $\mathbb{H}^{n+1}$, has appeared online in Journal of Functional Analysis.
- March 2026: New preprint with Weisong Dong: Second order estimates for equations with sums of Hessian operators on Hermitian manifolds.
- March 2026: New preprint with Weisong Dong and Sirui Xu: Pogorelov interior estimates for general sum-type Hessian equations.
Publications
- Curvature estimates for semi-convex solutions of asymptotic Plateau problem in $\mathbb{H}^{n+1}$, with Han Hong. Journal of Functional Analysis, 292(1), 2027 (published online in 2026).
- $C^2$ estimates for $k$-Hessian equations and a rigidity theorem. Advances in Mathematics, 480, Part A, 2025.
- A flow approach to the prescribed Gaussian curvature problem in $\mathbb{H}^{n+1}$, with Haizhong Li. Advances in Calculus of Variations, 17(3), 521–543, 2024.
- A curvature flow approach to $L^p$ Christoffel-Minkowski problem for $1<p<k+1$. Results in Mathematics, 79(2), Paper No. 53, 22 pp., 2024.
- Asymptotic convergence for a class of anisotropic curvature flows, with Haizhong Li and Botong Xu. Journal of Functional Analysis, 282(12), Paper No. 109460, 34 pp., 2022.
Preprints
- Interior Hessian estimates for Hessian quotient equations, with Weisong Dong. arXiv:2608.19087.
- Second order estimates for equations with sums of Hessian operators on Hermitian manifolds, with Weisong Dong. arXiv:2603.19045.
- Pogorelov interior estimates for general sum-type Hessian equations, with Weisong Dong and Sirui Xu. arXiv:2603.15345.
Research Projects
- December 2023: 国家经费资助博士后.
- November 2023: 中国博士后科学基金面上资助.
- March 2023: 北京大学博雅博士后项目.