High Dimensional Expanders and Trickledown Theorems

J. Leake, S. Oveis Gharan, Trickle-down Theorems via C-Lorentzian Polynomials II: Pairwise Spectral Influence and Improved Dobrushin's Condition, submited 2025.

J. Leake, K. Lindberg, S. Oveis Gharan, Optimal Trickle-Down Theorems for Path Complexes via -Lorentzian Polynomials with Applications to Sampling and Log-Concave Sequences, FOCS 2025.

Approximation Algorithms


Approximate Counting / Sampling


Lower Bounds

D. Abdolazimi, K. Lindberg, S. Oveis Gharan, On Optimization and Counting of Non-Broken Bases of Matroids, submitted, 2023.

A. Abdolazimi, S. Oveis Gharan, An Improved Trickle-Down Theorem for Partite Complexes, CCC 2023.

P. Beame, S. Oveis Gharan, X. Yang, Time-Space Tradeoffs for Learning from Small Test Spaces: Learning Low Degree Polynomial Functions, COLT 2018.


Spectral Graph Theory


Stochastic/Online/Distributed Algorithms