Research Areas

Teichmüller Theory and Differential Geometry


Educational Background

2007-2012  Doctor     Brown University              

2004-2007  Master     Chern Institute of Mathematics, Nankai University

2000-2004  Bachelor  Nankai University                                         


Work Experience

2019-now   Associate professor      YMSC, Tsinghua University              

2016-2019  Assistant professor       YMSC, Tsinghua University  

2012-2016  G. C. Evans Instructor  Rice University        

                                              

Selected Publications

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).