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

      

发表论文 (Selected)

1. 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.

2. 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.

3. 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.

4. On positive scalar curvature and moduli of curves

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

5. Uniform bounds for Weil-Petersson curvatures

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

6. 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).