Department of Mathematics and the College
Charles Smart’s research is focused on nonlinear partial differential equations (PDEs) and probability. He is particularly interested in the interaction of the two, in the form of either scaling limits of statistical physics models or homogenization of PDEs with random coefficients. His work on the Abelian sandpile revealed unexpected connections to geometry and group theory. His work on stochastic homogenization uses regularity theory to obtain quantitative results. Smart is also interested in applied mathematics and competed in the DARPA Grand Challenge, developing control algorithms for an autonomous motorcycle, which is now housed in the Smithsonian Institution’s National Museum of American History.
His work, which has been supported by the National Science Foundation and the Sloan Foundation, has been published in Calculus of Variations and Partial Differential Equations, Duke Mathematical Journal, and the Archive for Rational Mechanics and Analysis.
Smart was awarded a PhD in mathematics from the University of California, Berkeley.