Research

My papers are also listed on arXiv, MathSciNet, Google Scholar, and my CV

Research themes

Papers

The Green-Tao theorem and a relative Szemerédi theorem slides video

Sparse graph regularity and counting

Algorithmic graph regularity

Arithmetic regularity and applications

Topics in additive combinatorics

Hypergraph expanders

Cayley graphs and transitive sets

Equiangular lines and eigenvalue multiplicities

Incidence geometry

Extension complexity and nonnegative rank

Independent sets and graph homomorphisms

Sphere packing and energy minimization

Asymptotic enumeration

Large deviations in random graphs slides

Graph limits

Random matrices

Extremal subgraph density problems in directed graphs and tournaments

Extremal and Ramsey graph theory

Intersecting families of graphs

More sums than differences sets slides

Miscellaneous topics

Older expository papers and notes