|Office Location:||218 Physics|
|Office Phone:||(919) 660-2848|
|PhD||The Ohio State University||2006|
My primary mathematical interests are probability theory, stochastic processes, dynamical systems and PDEs, as well as their application to the modeling of stochastic phenomena in biology and physics. Remarkable progress in advanced microscopy yields unprecedented access to a path-wise observation of fundamental stochastic processes such as the motion of invasive particulates in viscoelastic fluids; the kinetics of strands of DNA and semi-flexible polymers; and the mechanics of intracellular transport. In each case, stochasticity is unmistakeable and essential. Most important, because we are looking at data from a relatively new field, when one extracts tractable but qualitatively authentic models, the analysis inevitably calls for new mathematics. In my own work, I have dealt with systems involving complex self-interactions, long-term memory effects and important non-equilibrium dynamics.