Research

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Research Papers

Incidence geometry

Equiangular lines

Directed graphs and tournaments

Additive combinatorics

Random matrices

Arithmetic regularity and applications

Graph regularity lemmas and applications

Cayley graphs

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

Large deviations in random graphs slides

Independent sets and graph homomorphisms

Graph limits

Sphere packing and energy minimization

Extremal and Ramsey graph theory

More sums than differences sets slides

Other topics

Expositions and surveys

Older expository papers and notes