In this talk I will describe new results establishing the
existence of a strong spectral gap for geometrically finite,
n dimensional, hyperbolic manifold with critical exponent greater
than (n−1)/2. This settles a conjecture of Mohammadi and Oh...
Classical random walks have long served as useful intuition for
the dynamics of light scalar fields in de Sitter space. This
description can be shown to arise from QFT on a fixed dS
background, via RG flow. The RG approach also permits
corrections...
Do typical black hole microstates have semiclassical interiors?
I will present a constructive approach to this question, where we
prepare ensembles of black hole interiors with long wormholes using
Brownian matter sources. Evaluating the frame...
The path integral of pure 3D gravity is formulated on a finite
region of spacetime, with boundary conditions that fix dihedral
angles or geodesic lengths. This amplitude calculates statistics of
black hole matrix elements in the dual CFT. The fixed...
It has recently been understood from several points of view that
the Hilbert space of quantum gravity in a closed universe has
dimension one. It has also been argued that this problem can
be ameliorated by explicitly including the observer in the...
Supermassive black hole mergers are extraordinary cosmic
phenomena characterized by their immense energy release, producing
gravitational waves that can rival the total light output of all
stars in the universe within a short time frame. These...
I will review the Penrose and Wall singularity theorems and
describe their limitations. Following Shahbazi-Moghaddam, I will
argue that semiclassical gravity in the infinite species limit
becomes an exact theory whose metric is defined on all
scales...
Not much is known about what happens at the end of black hole
evaporation. Pushing the semi-classical evolution well beyond its
regime of validity suggests that the final Cauchy slice breaks into
a piece that remains behind the event horizon...
