Ran Tao

Email: ran [dot] tao [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 08.2025 to 12.2025, I was a postdoc in the program of Stochastic PDEs at Simons Laufer Mathematical Sciences Institute (SLMath).

I completed my Ph.D. from the University of Maryland, College Park in 05.2025 advised by Yu Gu. Before that, I graduated with 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