Scott Armstrong

Scott Armstrong is a Professor of Mathematics at New York University, Department of Mathematics. His research focuses on partial differential equations, probability theory, and stochastic homogenization. He holds a Ph.D. in Mathematics from the University of California, Berkeley, and a B.S. in Mathematics from Texas A&M University. Armstrong's work includes studies on homogenization of PDEs in random media and related problems in probability and statistical mechanics. His publications include contributions to stochastic homogenization and large-scale regularity in mathematical analysis.

Scott Armstrong is a mathematician specializing in mathematical physics, partial differential equations (PDE), and probability. His research focuses on stochastic homogenization, regularity theory for elliptic equations, and the analysis of Hamilton–Jacobi and Bellman equations. He investigates the behavior of solutions to PDEs with random coefficients and explores the interplay between probability and analysis in the context of homogenization. His work includes the study of Lipschitz regularity, nonexistence of positive supersolutions, and variational methods for kinetic equations. Armstrong's contributions highlight the connections between deterministic and stochastic PDEs, emphasizing the role of probabilistic techniques in understanding complex systems.