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

• David Jekel and Jonathan Shi to design spectral algorithms that optimize spin glasses, operator-valued polynomials (quantum spin glasses) & CSPs, along with sum-of-squares relaxations that certify algorithmic thresholds in these problems.
• Saeed Mehraban to develop & extend probabilistic techniques from mathematical spin-glass theory with complex-analytic ideas to study mathematical and algorithmic questions surrounding the “random permanent” problem.
• Alexandra Kolla and Zack Jorquera to optimize quantum CSPs and study properties of (random) quantum channels.
  

I use/develop ideas & techniques from free probability, stochastic analysis, optimal transport, harmonic analysis and convex optimization to solve problems in theoretical computer science and mathematical physics.

Publications

Working Papers