Developing Tools of Dynamical Systems for Broad Application


Mathematical Methods Development and Application


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.
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