My research focuses on mathematical models, generally of social organisms, from the perspective of kinetic theory. At the discrete level, I design and implement interacting particle and agent-based models. I use these models in the context of fish migration, human gang rivalries, and gang territorial development, and I am now also working on models for pedestrian dynamics, particularly in stressful situations. I am interested in the kinetic and hydrodynamic limits of this type of model, especially if the model undergoes a phase transition as parameters are varied. I study these phase transitions at the microscopic, mesoscopic, and macroscopic scales.
Virtual SIAM Dynamical Systems Conference, May 23-27, 2021 (Minisymposium Speaker)
SIAM Conference on the Analysis of Partial Differential Equations: December 11-14, 2019 (Minisymposium Organizer and Speaker)
SIAM Dynamical Systems Conference, May 19-23, 2019 (Minisymposium Organizer and Speaker)
Joint Mathematics Meetings, January 16-19, 2019 (Speaker in Special Session on Agent-Based Modeling in Biological and Social Systems)
Canadian Mathematical Society Winter Meeting, December 7-10, 2018 (Special Sessions Speaker)
SIAM Conference on the Life Sciences, August 6-9, 2018 (Minisymposium Organizer and Speaker)
American Institute of Mathematics Workshop: Nonlocal differential equations in collective behavior, June 18-22, 2018 (Invited Participant)