Royal Society University Research Fellow, Professor of Discrete Mathematics, Tutorial Fellow in Wadham College
+44 1865 615165
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Extremal and probabilistic combinatorics, particularly extremal graph theory, Ramsey theory, random structures, pseudorandomness and additive combinatorics.
Prizes, Awards, and Scholarships:
European Prize in Combinatorics (2011)
ICM Section Lecture (2014)
Major / Recent Publications:
Rational exponents in extremal graph theory, with B. Bukh, submitted. Combinatorial theorems in sparse random sets, with W. T. Gowers, Ann. of Math. 184 (2016), 367-454 A relative Szemerédi theorem, with J. Fox and Y. Zhao, Geom. Funct. Anal. 25 (2015), 733-762. Extremal results in sparse pseudorandom graphs, with J. Fox and Y. Zhao, Adv. Math. 256 (2014), 206-290. Two extensions of Ramsey's theorem, with J. Fox and B. Sudakov, Duke Math. J. 162 (2013), 2903-2927. On two problems in graph Ramsey theory, with J. Fox and B. Sudakov, Combinatorica 32 (2012), 513-535. Bounds for graph regularity and removal lemmas, with J. Fox, Geom. Funct. Anal. 22 (2012), 1191-1256. Large almost monochromatic subsets in hypergraphs, with J. Fox and B. Sudakov, Israel J. Math. 181 (2011), 423-432. An approximate version of Sidorenko's conjecture, with J. Fox and B. Sudakov, Geom. Funct. Anal. 20 (2010), 1354-1366. Hypergraph Ramsey numbers, with J. Fox and B. Sudakov, J. Amer. Math. Soc. 23 (2010), 247-266. A new upper bound for diagonal Ramsey numbers, Ann. of Math. 170 (2009), 941-960.