
University of Wisconsin - Madison
Always respectful and encouraging to all.
Makes learning exciting and impactful.
Always supportive and inspiring to all.
I’m grateful for how you challenged us to think critically while still being supportive. Your teaching style helped me grow so much
Cole Graham is an assistant professor in the Department of Mathematics at the University of Wisconsin-Madison, a position he assumed in 2024. He received his PhD in Mathematics from Stanford University in 2021, advised by Lenya Ryzhik, with a dissertation titled "Long-Time Asymptotics for Reaction-Diffusion and Stochastic Burgers Equations." Graham completed his undergraduate studies at the Massachusetts Institute of Technology and was selected as a Hertz Foundation Fellow in 2015. From 2021 to 2024, he served as Prager Assistant Professor and NSF Postdoctoral Fellow in the Division of Applied Mathematics at Brown University.
Graham's research focuses on partial differential equations and probability, particularly reaction-diffusion equations, branching processes, stochastic partial differential equations, and viscous conservation laws. He has published in prominent journals such as Communications in Mathematical Physics, Archive for Rational Mechanics and Analysis, SIAM Journal on Mathematical Analysis, and Nonlinearity. Select publications include "KPP traveling waves in the half-space" with Julien Berestycki, Yujin H. Kim, and Bastien Mallein (Communications in Mathematical Physics, 2025); "The steady states of positive reaction-diffusion equations with Dirichlet conditions" with Henri Berestycki (Archive for Rational Mechanics and Analysis, accepted); "Edwards–Wilkinson fluctuations in subcritical 2D stochastic heat equations" with Alexander Dunlap (Electronic Communications in Probability, 2025); "Uniqueness and root-Lipschitz regularity for a degenerate heat equation" with Alexander Dunlap (SIAM Journal on Mathematical Analysis, 2025); "Invariant measures for stochastic conservation laws on the line" with Theodore Drivas, Alex Dunlap, Joonhyun La, and Lenya Ryzhik (Nonlinearity, 2023); "Reaction-diffusion equations in the half-space" with Henri Berestycki (Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire, 2022); and "The Bramson correction for integro-differential Fisher–KPP equations" (Communications in Mathematical Sciences, 2022).
Professional Email: graham@math.wisc.edu