Rate My Professor Cole Graham

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).