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

(with Ran Ji), Inventiones Mathematicae, to appear, (2024), 36 pages.

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

(with Yuxin He), Journal of Differential Geometry, to appear, (2024), 38 pages.

3. 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.

4. 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.

5. 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.

6. 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.

7. On positive scalar curvature and moduli of curves

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

8. Uniform bounds for Weil-Petersson curvatures

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

9. 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

Joint Seminar on Teichmüller Theory and Related Topics (JSTeichR)

I am currently one of the organizers of the seminar. The other organizers are Yi Huang (YMSC, Tsinghua Univ), Qiongling Li (CIM, Nankai Univ), and Yi Liu (BICMR, Peking Univ).