Yunhui Wu-Yau Mathematical Sciences Center, Tsinghua University

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

2023-now Professor YMSC, Tsinghua University

2019-2023 Associate professor YMSC, Tsinghua University

2016-2019 Assistant professor YMSC, Tsinghua University

2012-2016 G. C. Evans Instructor Rice University

Selected Publications

1. Prime geodesic theorem and closed geodesics for large genus

(with Yuhao Xue), Journal of the European Mathematical Society, DOI 10.4171/JEMS/1653, (2025), 57 pages.

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

(with Yuxin He), Journal of Differential Geometry, 130 (2025), no. 2, 403–441.

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

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

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

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

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

Link

All of my papers on Arxiv and MathSciNet