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.
My papers on the arXiv are here.
In the Fall of 2019 I will teach the second half of the graduate Quantum Field Theory course. Lecture notes from last year are here.
In the Spring of 2020 I will teach the second half of General Relativity. Lecture notes from last term are here.
Here are some lecture notes on entanglement entropy in field theory and gravity from the Modave Summer School in 2015.
Here (lecture 1, lecture 2, lecture 3) are video lectures of an elementary introduction to string theory from the Palestinian Advanced Physics School 2019 at Birzeit University. Lecture 1 is suitable for a general audience, while Lectures 2 and 3 are targeted towards advanced physics undergraduates.
Here are some visualizations of things I find fun in physics.
CONTACT / CV
Department of Mathematical Sciences CM 240
Durham DH1 3LE