Current Research Topics


Scientific Background and Interests


I am interested in a wide variety of scientific topics. My background is in traditional applied mathematics methods from partial differential equations, dynamical systems, asymptotic and perturbation theory, and scientific computing. I originally did work in the area of solitons and optical communications, but branched into lasers and nonlinear optics while at Princeton and Bell Labs. I then spent some years working on Bose-Einstein condensation as its theory is closely related to optical communications. Since that time, I have branched out into numerous other scientific areas and have developed a theoretical interest in data methods, including machine learning, compressive sensing, equation-free modeling and reduced-order modeling. Please click on the sublinks above to see specific areas of interest.
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