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、Teichmüller理论、测度与积分、复分析等

暂无

Selected Publications

1. Prime geodesic theorem and closed geodesics for large genus

(with Yuhao Xue), Journal of the European Mathematical Society, to appear, (2024), 63 pages.

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

(with Ran Ji), Inventiones Mathematicae, 237 (2024), no.2, 735-777.

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

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

4. 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.

5. 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.

6. 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.

7. 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.

8. On positive scalar curvature and moduli of curves

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

9. Uniform bounds for Weil-Petersson curvatures

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

10. 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

All of my papers on Arxiv and MathSciNet