My group works on stochastic models and algorithms for complex, high-dimensional, dynamical systems arising from the physical or biological sciences. My theoretical interests lie at the intersection of applied probability, Bayesian statistics, statistical mechanics, and theoretical computer science.
Applications: I have particular interests in structural biology, biophysics, and physical chemistry. We currently work on problems related to protein folding, vaccine design, and molecular engineering. Recently I have also expanded into problems in systems biology, and stochastic epidemic models.
Theory: Stochastic processes, dynamical systems theory, mixing times of Markov chains, randomized algorithms, computational complexity.
Some ongoing projects and themes are described below, followed by a list of Collaborations.