Ran Tao
Email: rantao16 [at] umd [dot] edu
Hi! My name is Ran Tao (陶然). From Aug 2025 to Dec 2025, I will be a postdoc in the pogram of Recent Trends in Stochastic Partial Differential Equations at Simons Laufer Mathematical Sciences Institute (SLMath). I got my Ph.D. from the University of Maryland, College Park in May 2025, where I was fortunate to be advised by Yu Gu. Before that, I got my B.S. degree from the School of Mathematical Sciences at Fudan University in 2019.
My research focuses on probability and stochastic analysis, with their applications to statistical physics. I work on topics including stochastic partial differential equations, interacting particle systems, and Malliavin calculus.
Here is a copy of my (out-of-date) CV.
Preprints and Publications:
Time-dependent averages of a critical long-range stochastic heat equation. (with Sefika Kuzgun)
arixv (submitted)
Fluctuation exponents of the half-space KPZ at stationarity. (with Yu Gu)
arixv (submitted)
Mesoscopic averaging of the two-dimensional KPZ equation. J Stat Phys 191, 6 (2024).
Gaussian fluctuations of a nonlinear stochastic heat equation in dimension two. Stoch PDE: Anal Comp 12, 220–246 (2024).