New invited talks
This September I gave two invited seminar talks in New York about my current research: one at the Stars and Plasma Astrophysics (SPA) seminar at the Center for Computational Astrophysics, Flatiron Institute, and one at the Theoretical High Energy Astrophysics (THEA) seminar at Columbia University.
What I talked about
Both talks were about the project I'm leading now: a well-balanced, conservative finite-volume method for coupled PDEs on dynamical spacetimes. It couples Einstein's equations (the geometry) to the Euler equations of a relativistic fluid, built on a new first-order hyperbolic formulation of Einstein's equations, and it is the first time that formulation has been coupled to matter.
The method is strictly flux-conservative and well-balanced to machine precision. It holds neutron-star equilibria (Tolman–Oppenheimer–Volkoff stars) for a long time without them drifting, and it can follow a controlled collapse of an unstable star to a black hole:

More on the project in Current research.
THEA seminar, Columbia University


Stars and Plasma Astrophysics seminar, Flatiron Institute



Thank you to both groups for the invitations and for all the questions and discussions afterwards.