LOADING

My background is in traditional applied mathematics methods from partial differential equations, dynamical systems, asymptotic and perturbation theory, and scientific computing. I originally did quite a bit of work on understanding the stability and bifurcation structure of localized solutions of nonlinear wave equations. Over the past 5 years, I have branched out into the data sciences and have developed a theoretical interest in applications of data methods to dynamical systems, including machine learning, compressive sensing, equation-free modeling and reduced-order modeling. Please click on the sublinks above to see specific areas of theoretical interest.