## The Geometry of Hamiltonian Monte Carlo

Applying symplectic geometry to understand and refine Hamiltonian MC.

Applying symplectic geometry to understand and refine Hamiltonian MC.

Parametrizing deviations from purely GR, vacuum black holes.

The deformation to spherically symmetric black holes under a class of corrections to general relativity.

Computing how much energy and momentum gravitational waves carry in a very broad class of almost-GR theories.

Turning an O(n^2) problem into an O(n log n) problem in radio interferometry, similar in spirit to how the fast Fourier transform operates.