Yifan Gao, Ph. D.
▎Assistant Professor of Mathematics
▎Probability Theory Group
◢ Email：gaoyifan75@westlake.edu.cn
Be a friend of time, and embrace truth as a neighbor.
Biography
Yifan Gao received his bachelor's degree from Sun Yat-sen University in 2017 and his Ph.D. from Peking University in 2022. He then conducted postdoctoral research at City University of Hong Kong from 2022 to 2025. He joined the Institute for Theoretical Sciences, Westlake University in December 2025.
Research
Dr. Gao's research lies at the intersection of probability theory and mathematical physics, with a focus on statistical physics and random geometry, including Gaussian free field, Brownian loop soup, percolation, and Schramm-Loewner evolution.
Representative Publications
1) Non-existence of several random fractals in the Brownian motion and the Brownian loop soup (with X. Li, R. Liu and W. Qian). arXiv:2507.20324.
2) Uniqueness of generalized conformal restriction measures and Malliavin-Kontsevich-Suhov measures for c∈(0,1] (with G. Cai). Ann. Probab. (to appear), arXiv:2502.05890.
3) A boundary Harnack principle and its application to analyticity of 3D Brownian intersection exponents (with X. Li, Y. Li, R. Liu and X. Liu). arXiv:2411.14921.
4) Percolation of discrete GFF in dimension two II. Connectivity properties of two-sided level sets (with P. Nolin and W. Qian). arXiv:2409.16273.
5) Percolation of discrete GFF in dimension two I. Arm events in the random walk loop soup (with P. Nolin and W. Qian). arXiv:2409.16230.
6) Multiple points on the boundaries of Brownian loop-soup clusters (with X. Li and W. Qian). Ann. Probab. (to appear), arXiv:2205.11468.
7) Sharp asymptotics for arm probabilities in critical planar percolation (with H. Du, X. Li and Z. Zhuang). Comm. Math. Phys., 405(182), 2024.
Contact Information
Email：gaoyifan75@westlake.edu.cn
