My current research interests are Additive and Probabilistic Combinatorics. I am currently focusing on spectrum of random matrices (especially the

Winger-Dyson type universality conjectures) and inverse theorems in additive combinatorics.

Additive combinatorics: Inverse theorems, subset sums, regularity lemma, random sequences.

Probabilistic combinatorics: Random structures (random graphs, random matrices, random polytopes). Sharp concentration, Probabilistic methods.

To get more specific ideas, please see my surveys: Concentration of non-Lipschitz functions, Random discrete matrices, Structural approach for subset sums problems, From Littlewood-Offord to Circular Law and also my book “Additive Combinatorics” with Tao.

Here you can find most of my papers in chronological order. Some may be slightly different from the published versions.