Contact

graham@math.wisc.edu

Department of Mathematics
University of Wisconsin–Madison
Van Vleck Hall
Office 313

About

I am an assistant professor in the Department of Mathematics at the University of Wisconsin–Madison.

I completed my PhD in 2021 at Stanford University under the direction of Lenya Ryzhik. From 2021–2024, I was a Prager Assistant Professor and NSF Postdoctoral Fellow in the Division of Applied Mathematics at Brown University.

Interests

Partial differential equations (PDEs) and probability: reaction-diffusion equations, branching processes, stochastic PDEs, viscous conservation laws

Mathematics and climate change: climate impacts on agriculture, carbon dioxide removal

Articles

• Edwards–Wilkinson fluctuations in subcritical 2D stochastic heat equations
  with Alexander Dunlap
  Submitted [arXiv]

• The steady states of positive reaction-diffusion equations with Dirichlet conditions
  with Henri Berestycki
  Submitted [arXiv]

• The 2D nonlinear stochastic heat equation: pointwise statistics and the decoupling function
  with Alexander Dunlap
  Submitted [arXiv]

• Uniqueness and root-Lipschitz regularity for a degenerate heat equation
  with Alexander Dunlap
  Submitted [arXiv]

• KPP traveling waves in the half-space
  with Julien Berestycki, Yujin H. Kim, and Bastien Mallein
  Submitted [arXiv]

• The steady states of strong-KPP reactions in general domains
  with Henri Berestycki
  J. Eur. Math. Soc. (Accepted) [arXiv]

• Invariant measures for stochastic conservation laws on the line
  with Theodore Drivas, Alex Dunlap, Joonhyun La, and Lenya Ryzhik
  Nonlinearity 36 (2023) 4553–4584 [arXiv]

• The inviscid limit of viscous Burgers at a nondegenerate first shock
  with Sanchit Chaturvedi
  Ann. PDE 9 (2023) Paper No. 1 [arXiv]

• Reaction-diffusion equations in the half-space
  with Henri Berestycki
  Ann. Inst. H. Poincaré C Anal. Non Linéaire 39 (2022) 1053–1095 [arXiv]

• The distance between the two BBM leaders
  with Julien Berestycki, Éric Brunet, Leonid Mytnik, Jean-Michel Roquejoffre, and Lenya Ryzhik
  Nonlinearity 35 (2022) 1558–1609 [arXiv]

• The Bramson correction for integro-differential Fisher–KPP equations
  Commun. Math. Sci. 20 (2022) 563–596 [arXiv]

• Stationary solutions to the stochastic Burgers equation on the line
  with Alex Dunlap and Lenya Ryzhik
  Comm. Math. Phys. 382 (2021) 875–949 [arXiv]

• Irregularity of distribution in Wasserstein distance
  J. Fourier. Anal. Appl. 26 (2020) 75 [arXiv]

• An entropy proof of the arithmetic mean–geometric mean inequality
  with Tadashi Tokieda
  Am. Math. Mon. 127 (2020) 545–546

• Precise asymptotics for Fisher–KPP fronts
  Nonlinearity 32 (2019) 1967–1998 [arXiv]

• Existence and non-existence of transition fronts in mixed ignition-monostable media
  with Tau Shean Lim, Andy Ma, and David Weber
  Nonlinearity 31 (2018) 651–666 [arXiv]

• Universal Bell correlations do not exist
  with William Hoza
  Phys. Rev. Lett. 119 050402 [arXiv]