My papers can be found on DBLP or Google Scholar. I primarily work with:

• David Jekel and Jonathan Shi on designing spectral algorithms and sum-of-squares relaxations for certifying and optimizing spin glasses, operator-valued polynomials & CSPs, and more generally extending the theory of the Parisi formula to different geometries.
• Saeed Mehraban on developing and extending probabilistic techniques from mathematical spin-glass theory with complex-analytic ideas to systematically study the mathematical and algorithmic questions surrounding the “random permanent” problem.
• Alexandra Kolla and Zack Jorquera on initiating the algorithmic study of certain families of local quantum hamiltonians using the non-commutative sum-of-squares hierarchy.
  

More broadly, I am interested in using/developing ideas and techniques in free probability, stochastic analysis, optimal transport, harmonic analysis and sum-of-squares hierarchies to solve problems in theoretical computer science and mathematical physics.

Publications

Working Papers