I'm an Associate Professor in the Department of Mathematical Sciences at NJIT. My primary area of research is nonlinear wave equations with particular interest in the equations governing nonlinear optics, relevant to such applications as mode-locked lasers, long-haul optical communications, and frequency conversion devices. My NSF-funded research explores the impact of noise on these systems, specifically on those rare cases where noise causes the system to fail.
I have recently begun a number of projects related to data assimilation, broadly looking for ways to improve the efficiency with which an unknown quantity such as temperature or pressure is inferred from field measurements. I am particularly interested in how optimal control can be used to direct assimilating agents, either ensemble members or autonomous vehicles, to reduce the uncertainty of a scalar or vector field estimate with near-optimal efficiency.