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
