I study mathematical models, generally in the context of kinetic theory. At the discrete level, I work on applications of interacting particle models and agentbased models; thus far, I have applied them to fish migration, human gang rivalries and gang territorial development, and I am now developing models in the context of medicine. I am very interested in the kinetic and hydrodynamic limits of these models, especially in models that undergo phase transitions as one or more of the parameters are varied. I have studied these phase transition at the microscopic, mesoscopic, and macroscopic scales.
