I am a mathematician by nature and training, having done my Ph.D. in mathematics at Penn State University under the supervision of Dr. Timothy C. Reluga. My work focused primarily on epidemic game theory, where I studied the nature of uniqueness of Nash equilibria in distancing-type epidemic games.
While my work has primarily fallen within mathematical epidemiology, my general interest is in the modeling of individual agent behavior and how this depends on and determines population-level dynamics. One aspect I am especially interested in is how individual behavior contends with institutional-level actions, and how particular behaviors can either impede or promote the ends of some institution. I use a broad set of mathematical tools to investigate these phenomena, drawing from differential equations and dynamical systems, optimization and game theory, linear algebra and semigroup theory, and probability and functional analysis.