Research Interests
I am interested in astrophysical and geophysical fluid dynamics, and in developing numerical methods for solving problems in these fields. I primarily study low-Mach number flows inside stars; in planetary atmospheres; in the oceans; and in planetary cores. Each of these problems has a rich interplay between different fundamental physical effects: rotation, buoyancy, magnetism, moisture, external forcing, etc

I am a core developer of the Dedalus code. Dedalus can solve nearly arbitrary partial differential equations using spectral methods. We have recently extended Dedalus to run simulations in simple geometries which include coordinate singularities: spherical geometry and cylindrical geometry. This makes use of a new class of weighted Jacobi polynomials to represent tensorial quantities with the appropriate geometry regularity behavior. I am using these new capabilities to study global models of stars and planetary interiors (spherical geometry), as well as laboratory experiments (cylindrical geometry).