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. 

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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.  

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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.

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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. 

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My papers on the arXiv are here.