Assistant Professor, Department of Mathematics
Benjamin Landon is an assistant professor in the Department of Mathematics. He received his PhD from Harvard University. Prior to joining U of T, he was a CLE Moore Instructor (postdoc) at the Massachusetts Institute of Technology (MIT).
Landon’s research interests are in probability theory with much of his focus on understanding the universality of the eigenvalues of large random matrices. His PhD thesis was on a stochastic process known as Dyson Brownian motion which has numerous interpretations and links random dynamics on random matrices with interacting particle systems. Most of this work appeared in the article “Fixed energy universality of Dyson Brownian motion” (Landon, Benjamin, Philippe Sosoe and Horng-Tzer Yau) in Advances in Mathematics.
At MIT he continued to investigate other properties of random matrix eigenvalues, such as extremal statistics. Some of this work appeared in “Comparison theorem for some extremal eigenvalue statistics” (Landon, Benjamin, Patrick Lopatto and Jake Marcinek) in The Annals of Probability.
Recently Landon has become interested in KPZ universality, a different area of probability theory, but still somewhat connected to random matrix theory. In the recent preprint “KPZ-type fluctuation bounds for interacting diffusions in equilibrium” (Landon, Benjamin, Christian Noack, and Philippe Sosoe), he and his co-authors develop analytic methods for studying the fluctuations of general classes of interacting diffusions.