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
(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
