Video Lectures

I will discuss how to build small symplectic caps for contact manifolds as a step in building small closed symplectic 4-manifolds. As an application of the construction, I will give explicit handlebody descriptions of symplectic embeddings of...

I consider the operator product algebra along an observer's worldline as a background independent algebra in quantum gravity.

We introduce a framework for quantifying random matrix behavior of 2d CFTs and AdS3 quantum gravity. This is anchored by a 2d CFT trace formula, analogous to the Gutzwiller trace formula for chaotic quantum systems. We use this framework to...

The Bekenstein bound posits a maximum entropy for matter with finite energy confined to a spacetime region. It is often interpreted as a fundamental limit on the information that can be stored by physical objects. In this work, we test this...

Obtaining a description of cosmology is a central open problem in holography. Studying simple models can help us gain insight on the generic properties of holographic cosmologies. In this talk I will describe the construction of entangled...

Building on the work of Turiaci and Witten who proposed the perturbative (in genus) matrix model of N=2 JT supergravity, a non-perturbative definition has been constructed using scaled orthogonal polynomial technology similar to that used for...

Motivated by recent observations in double-scaled SYK (DSSYK), this talk will feature work in progress analyzing holography on a non-commutative analogue of the hyperbolic disk known as the quantum disk. I will briefly review hints of non...

We propose a non-perturbative construction of the bulk Hilbert space of JT gravity. Within this Hilbert space, we can non-perturbatively define and study observables that probe the black hole interior. To exemplify the power of this construction, we...

We study closed cosmologies in simple models of two dimensional gravity.
We show that there are stark contrast as well as connections between
semi-classical and non-perturbative aspects of the theory of closed
universes.

The complexity of a quantum system is a concept of fundamental interest in quantum information, quantum computing, and, more recently, in the study of quantum black holes. In this talk, I will present three notions of complexity for learning and...