My research lies in the development of novel mathematical methods for deterministic and stochastic dynamical systems to model and study complex physical and biological phenomena. Recent efforts include the study of material transport in the ocean and other stochastic environments, the use of autonomous vehicles to track Lagrangian coherent structures, the outbreak and extinction of infectious diseases, the behavior of biological and robotic swarms, food web dynamics in ecological systems, and the stability of fluid flows. My work has been funded by the Office of Naval Research and the National Science Foundation.