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Research Papers

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

Graph regularity method and applications

Additive combinatorics

Arithmetic regularity and applications

Cayley graphs and transitive sets

Equiangular lines and spectral graph theory slides

Incidence geometry

Nonnegative rank and extension complexity

Independent sets and graph homomorphisms

Sphere packing and energy minimization

Large deviations in random graphs slides

Graph limits

Random matrices

Directed graphs and tournaments

Extremal and Ramsey graph theory

More sums than differences sets slides

Other topics

Expositions and surveys

Older expository papers and notes