Most of my research involves aspects of holographic duality, which states that certain theories of quantum gravity are actually secretly quantum field theories (roughly, theories describing sets of interacting particles) in one dimension lower.
This is practically useful for computations in field theory: when the field theory is strongly coupled, the gravity theory is typically classical and easy to understand. Thus we can map a strongly-correlated quantum physics problem to a simple exercise in classical geometry.
Holographic duality may also be conceptually profound. It suggests that we can shed light on the deep mysteries of quantum gravity by studying (in principle) more well-defined problems of quantum field theory, though the required reorganization of the degrees of freedom is not yet understood.
Recently I have been working on applications of new symmetry principles in quantum field theory. From October 2024 - 2025 I will be a Simons Pivot Fellow working at the University of Amsterdam on problems in geometric deep learning.
My papers on the arXiv are here.
Here is a gentle 20 minute introduction to string theory for non-specialists.
Here are some interactive visualizations of things I find fun in physics.
Undergraduate general relativity lecture notes are here.
Undergraduate quantum field theory -- introduction to canonical quantization -- lecture notes are here.
I also (online) taught Statistical Mechanics. Lecture notes will appear at some point.
Here are some lecture notes on entanglement entropy in field theory and gravity from the Modave Summer School in 2015.