Research Areas

The main research area is spectral geometry, with a particular focus on comparison relations between Laplace-type eigenvalues and geometric quantities on Riemannian manifolds.

Education

2021 - 2026 Ph.D. in Mathematics, Tsinghua University

2017 - 2021 B.S. in Mathematics, Tsinghua University

Awards

2024 China National Scholarship

2026 Shuimu Tsinghua Scholar Program

Publications

1. Gu Pingxin, Li Haizhong. A proof of Guo-Wang's conjecture on the uniqueness of positive harmonic functions in the unit ball[J]. Math. Ann., 2025, 391(3): 3501–3517.

2. Gu Pingxin, Li Haizhong, Wan Yao. Weinstock inequality in hyperbolic space[J]. J. Funct. Anal., 2025, 289(12): Paper No. 111155, 22.