Quantitative invertibility of random matrices: a combinatorial perspective. Submitted. [arXiv:1908.11255]
Approximate Spielman-Teng theorems for the least singular value of random combinatorial matrices. To appear in Israel Journal of Mathematics. [arXiv:1904.10592]
Singularity of random symmetric matrices -- a combinatorial approach to improved bounds, joint with Asaf Ferber. Forum of Mathematics, Sigma, vol. 7, e22, 29 pages (2019). [Journal][arXiv:1809.04718]
Universality and least singular values of random product matrices: a simplified approach, joint with Rohit Chaudhuri and Natesh Pillai. Submitted. [arXiv:2007.03595]
The strong circular law: a combinatorial view. To appear in Random Matrices: Theory and Applications. [arXiv:1904.11108]
Mean-field approximation
Mean-field approximation, convex hierarchies, and the optimality of correlation rounding: a unified perspective, joint with Frederic Koehler and Andrej Risteski. 51st ACM Symposium on the Theory of Computing (STOC 2019). [Conference][arXiv:1808.07226]
On the k-planar local crossing number, joint with John Asplund, Thao Do, and Arran Hamm. Discrete Mathematics, vol. 342, issue 4, pp. 927--933 (2019). [Journal][arXiv:1804.02117]
1-factorizations of pseudorandom graphs, joint with Asaf Ferber. 59th Annual IEEE Symposium on Foundations of Computer Science (FOCS 2018). Random Structures and Algorithms. [Conference][Journal][arXiv:1803.10361]