# Faculty Profile

# Scott Armstrong

Professor of Mathematics

scotta@cims.nyu.edu

212-998-3148

Warren Weaver Hall, Office 530

## Education

Ph.D., Mathematics, University of California, Berkeley, USA, 2009.

B.S., Mathematics, Texas A&M University, USA, 2002.

## Research Interests

My general research interests lie in partial differential equations, the calculus of variations and probability theory. My focus for the last several years has been in homogenization of PDEs in random media and related problems in probability and statistical mechanics.

## Selected Publications

S. Armstrong, T. Kuusi and J.-C. Mourrat,
"Quantitative Stochastic Homogenization and Large-Scale Regularity",
Grundlehren der mathematischen Wissenschaften,
Vol. 352 (2019), xxxviii+518p.

S. Armstrong and P. Cardaliaguet,
"Stochastic homogenization of quasilinear Hamilton-Jacobi equations and geometric motions",
J. Eur. Math. Soc.,
20 (2018), 797-864.

S. Armstrong, T. Kuusi and J.-C. Mourrat,
"The additive structure of elliptic homogenization",
Invent. Math.,
208 (2017), 999-1154.

S. N. Armstrong and C. K. Smart,
"Quantitative stochastic homogenization of convex integral functionals",
Ann. Sci. Éc. Norm. Supér.,
48 (2016), 423-481.