研究领域

Teichmüller Theory and Geometry

教育背景

2007-2012 博士 美国布朗大学（Brown University）

2004-2007 硕士 南开大学陈省身数学研究所

2000-2004 学士 南开大学

工作经历

2023-至今  清华大学数学科学系、丘成桐数学科学中心教授

2019-2023  清华大学数学科学系、丘成桐数学科学中心副教授

2016-2019  清华大学丘成桐数学科学中心助理教授

2012-2016  美国莱斯大学 (Rice University) G.C.Evans讲师

代表性论文

1. Prime geodesic theorem and closed geodesics for large genus

(with Yuhao Xue), Journal of the European Mathematical Society, DOI 10.4171/JEMS/1653, (2025), 57 pages.

2. On second eigenvalues of closed hyperbolic surfaces for large genus

(with Yuxin He), Journal of Differential Geometry, 130 (2025), no. 2, 403–441.

3. On ends of finite-volume noncompact manifolds of nonpositive curvature

(with Ran Ji), Inventiones Mathematicae, 237 (2024), no.2, 735-777.

4. Large genus asymptotics for lengths of separating closed geodesics on random surfaces

(with Xin Nie and Yuhao Xue), Journal of Topology, 16 (2023), no.1, 106-175.

5. Random hyperbolic surfaces of large genus have first eigenvalues greater than 3/16-epsilon

(with Yuhao Xue), Geometric and Functional Analysis (GAFA), 32 (2022), 340-410.

6. Optimal lower bounds for first eigenvalues of Riemann surfaces for large genus

(with Yuhao Xue), American Journal of Mathematics, 144 (2022), no.4, 1087-1114.

7. Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures

(with Martin Bridgeman), Journal für die reine und angewandte Mathematik (Crelle's Journal),770 (2021), 159-181.

8. On positive scalar curvature and moduli of curves

(with Kefeng Liu), Journal of Differential Geometry, 111 (2019), no.2, 315-338.

9. Uniform bounds for Weil-Petersson curvatures

(with Michael Wolf), Proceedings of the London Mathematical Society, (3) 117 (2018), no.5, 1041-1076.

10. The Riemannian sectional curvature operator of Weil-Petersson metric on Teichmüller space and its application

Journal of Differential Geometry, 96 (2014), no.3, 507-530.

Link

All of my papers on Arxiv and MathSciNet