Video Lectures

I develop an effective theory which describes black holes with quantum mechanical horizons that is valid at scales long compared to the Schwarzschild radius but short compared to the lifetime of the black hole. The formalism allows one to calculate...

The geometric optics trace formula gives the singular support of wave trace on a compact Riemannian manifold. In the case of of a one dimensional singular manifold, that is a metric (or quantum) graph, this formula is exact and yields a crystalline...