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--- 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. Prime geodesic theorem and closed geodesics for large genus
(with Yuhao Xue), , to appear, (2024), 63 pages.
2. On ends of finite-volume noncompact manifolds of nonpositive curvature
(with Ran Ji), , 237 (2024), no.2, 735-777.
3. On second eigenvalues of closed hyperbolic surfaces for large genus
(with Yuxin He), , to appear, (2024), 38 pages.
4. Large genus asymptotics for lengths of separating closed geodesics on random surfaces
(with Xin Nie and Yuhao Xue), , 16 (2023), no.1, 106-175.
5. Random hyperbolic surfaces of large genus have first eigenvalues greater than 3/16-epsilon
(with Yuhao Xue), , 32 (2022), 340-410.
6. Optimal lower bounds for first eigenvalues of Riemann surfaces for large genus
(with Yuhao Xue), , 144 (2022), no.4, 1087-1114.
7. Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures
(with Martin Bridgeman), , 770 (2021), 159-181.
8. On positive scalar curvature and moduli of curves
(with Kefeng Liu), , 111 (2019), no.2, 315-338.
9. Uniform bounds for Weil-Petersson curvatures
(with Michael Wolf), , (3) 117 (2018), no.5, 1041-1076.
10. The Riemannian sectional curvature operator of Weil-Petersson metric on Teichmüller space and its application
, 96 (2014), no.3, 507-530.
Link
All of my papers on and