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

Teichmüller理论、几何

黎曼曲面、测度与积分、复分析等

暂无

  Selected Publications:

• 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.

• 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.
  

• 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.

• On positive scalar curvature and moduli of curves

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

• Uniform bounds for Weil-Petersson curvatures

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

• 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.

现有3名博士研究生在读；已毕业2名博士，其中1人获第十七届钟家庆数学奖。