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 relaxations for spin glasses, operator-valued polynomials & CSPs. Questions/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 at the confluence of Discrete & Continuous Optimization, Random Matrix Theory & Free Probability Theory, Stochastic Analysis, Operator Algebras & Non-Commutative Pseudo-Moment Hierarchies.

Publications

Preprints