Ran Tao

Email: rantao [at] mis [dot] mpg [dot] de

Hi! My name is Ran Tao (陶然). I am a postdoc at the Max Planck Institute for Mathematics in the Sciences (MPI MiS) in the group of Felix Otto, in Leipzig, Germany.

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.

Previously, from Aug 2025 to Dec 2025, I was a postdoc in the program of Recent Trends in Stochastic Partial Differential Equations at Simons Laufer Mathematical Sciences Institute (SLMath).

I completed 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 Fudan University in 2019.

Here is a copy of my CV.

Preprints and Publications:

  • Time-dependent averages of a critical long-range stochastic heat equation. (with Sefika Kuzgun)

    arxiv (submitted)

  • Fluctuation exponents of the half-space KPZ at stationarity. (with Yu Gu) Journal of Functional Analysis, 290, 7 (2026).

    arxiv, journal

  • Mesoscopic averaging of the two-dimensional KPZ equation. J Stat Phys, 191, 6 (2024).

    arxiv, journal

  • Gaussian fluctuations of a nonlinear stochastic heat equation in dimension two. Stoch PDE: Anal Comp, 12, 220–246 (2024).

    arxiv, journal