Scott ArmstrongCNRS Research Director
Scott Armstrong's research lies at the intersection of mathematical physics, partial differential equations, and probability theory. He is interested in multiscale phenomena in physical models with two or more length scales. Together with his collaborators, he has developed a theory of quantitative homogenization based on a rigorous renormalization group method. After completing his PhD at the University of California, Berkeley (2009), he held positions at Louisiana State University, the University of Chicago, and the University of Wisconsin-Madison before joining the CNRS in 2012. From 2016 to 2024, he was seconded from the CNRS as a professor at the Courant Institute of Mathematical Sciences at New York University. Since 2024, he has been a research director at the Jacques-Louis Lions Laboratory1 .
- 1CNRS/Sorbonne Université/Université Paris Cité
ReGroStaFT (Renormalization Group for Statistical Field Theory)
The project aims to develop rigorous renormalization group arguments, based on ideas from analysis and probability, and apply them to fundamental problems in statistical physics, probability, and fluid mechanics. The focus is on physical phenomena that exhibit behavior over a wide range of length scales, often characterized by erratic and irregular dynamics at small scales. Important examples include the study of anomalous diffusion in the context of fluid turbulence and large-scale (infrared) renormalization of certain Euclidean field theories. The idea is to gradually coarse-grain the system in order to obtain a simpler and therefore more accessible macroscopic description, while remaining faithful to the actual behavior of the system. The goal is to demonstrate rigorous theorems that confirm predictions from physics.