Yunhui Wu-清华丘成桐数学科学中心

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, 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

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