Yulin Gong

About

I am a Senior Research Associate at the School of Mathematics, University of Bristol, working with Dr. Laura Monk and Prof. Jens Marklof. I completed my Ph.D. at Tsinghua University under the supervision of Prof. Long Jin.

Research Interests

• Microlocal Analysis
• Spectral Geometry
• Dynamical Systems
• Random Surfaces and Graphs

Research

1. Spectral distribution of twisted Laplacian on typical hyperbolic surfaces of high genus Commun. Math. Phys. 405, 158 (2024)
2. Spectral convergence of random regular graphs: Chebyshev polynomials, non-backtracking walks, and unitary-color extensions with Wenbo Li and Shiping Liu Mathematische Nachrichten (2025)
3. Discrete trace formulas and holomorphic functional calculus for the adjacency matrix of regular graphs with Wenbo Li and Shiping Liu arXiv: 2406.17505
4. The spectral concentration for damped waves on compact Anosov manifolds arXiv: 2411.02929
5. Sublinear growth of eigenvalues for twisted Laplacian on compact hyperbolic surfaces with Long Jin Peking Math. J. (2026)
6. Observability and semiclassical control for Schrödinger equations on non-compact hyperbolic surfaces with Xin Fu and Yunlei Wang arXiv: 2602.14316

Seminar

I am an organiser of the Spectral Geometry in the Clouds, together with Alexandre Girouard and Jean Lagacé.