My research interests are:
Bayesian inverse problems, where I develop Markov chain Monte Carlo methods, multiscale random field models, surrogate models for climate models and Reynolds-averaged Navier-Stokes simulators
Epidemiology, including characterization of partially-observed outbreaks
High-order numerical methods, especially development of fourth-order finite-difference methods for block-structured adaptively refined meshes. I use these methods for simulating flames.
Compressible fluid dynamics, including development of analytical models for Richtmeyer-Meshkov instabilities and the calibration of turbulence models