My research concerns the geometry and computation of waves on infinite domains. I develop hyperboloidal methods that bring null infinity onto a finite computational grid, connecting questions in general relativity with numerical analysis and scattering theory.
Recent results include gravitational-wave extraction from numerical relativity simulations, the study of late-time wave tails, and finite element methods for scattering. I also work on swarm-based optimization for non-convex problems. The pages below introduce each area and link to its publications and software.
See the full publication list for journal references and preprints, and the NSF Award page for the research and educational activities supported by that grant.