Applied Mathematics Research
My research is in biomathematics, continuum mechanics and scientific computation. Over the years, I have developed numerical algorithms for studying problems in embryology, population ecology, suspension flow, fluid mechanics, and solid mechanics. My recent work involves development of the Material-Point Method (MPM) for solving large-deformation continuum mechanics problems.
Mathematical biology: I'm broadly interested in using mathematical models to understand the biological processes that shape population and community dynamics, with a particular interest in the ecology and evolution of infectious diseases. My research uses a combination of analytical, statistical and computational tools that are drawn from the fields of dynamical systems and stochastic processes.
