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 complex nonlinear dynamical systems modeled by ODEs and PDEs. Those coherent structures appear in various contexts, ranging from matter waves in atomic Bose-Einstein condensates (BECs) and rogue waves in optics, to dynamical systems describing the formation of solitary patterns in materials science, engineering, and fluid mechanics. For an up-to-date list of publications, please see my CV or the “Publications” tab.

My research on blowup and rogue waves is partially supported by NSF grants DMS-2204782 and DMS-2527314. Additionally, my research on quantum droplets and phases of matter is in collaboration with Professor Symeon Mistakidis, and our joint program is partially supported by the ARL grant W911NF-26-1-A043.

I am co-organizing a webinar on Nonlinear Waves and Coherent Structures. If you are interested, please fill out this Google Form to receive updates.