Research
I am an applied/computational mathematician who has been developing and employing analytical and computational techniques for studying the existence, stability and bifurcations as well as spatio-temporal evolution of coherent structures in nonlinear wave systems modeled by ODEs and PDEs that appear in various contexts. Those range from matter waves, including vortices and their interactions in atomic Bose-Einstein condensates (BECs) and rogue waves, to dynamical systems describing the formation of solitary patterns in optics, materials science, engineering, and fluid mechanics. For an up-to-date list of publications, please see my CV.
My research on rogue waves is partially supported by NSF grant DMS-2204782.
I am co-organizing with Professors Panos Kevrekidis (UMass Amherst) and Christopher Chong (Bowdoin College) a webinar on Nonlinear Waves and Coherent Structures. If you are interested, please fill out this Google Form to receive updates.
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My Math Genealogy |