My papers can be found on DBLP or Google Scholar.

I work with Jonathan Shi on obstructing algorithms in the presence of ultrametric OGPs and designing unifying sum-of-squares (SoS) relaxations for spin glasses and random Max-CSPs. Questions and techniques that excite me include the qPCP conjecture, ultrametric OGPs, Guerra-Tonnineli interpolations, small-set expansion/unique-games conjectures and analytic sparsity proofs.

More broadly, my interests lie in the confluence of Convex Optimization, Random Matrix Theory & Free Probability Theory, Mathematical Spin-Glass Theory, Quantum Statistical Mechanics and Max-CSPs.

Publications

Preprints