Status:
Senior Research Fellow Royal Society University Research Fellow Tutorial Fellow at St. Hugh's College
Personal website:
+44 1865 615163
ORCID iD:
https://orcid.org/0000-0003-1809-8248
Research groups:
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Highlighted Publications:
On the Bogolyubov–Ruzsa lemma
Analysis & PDE
issue 3
volume 5
page 627-655
(15 October 2012)
A quantitative version of the non-abelian idempotent theorem
Geom. Funct. Anal.
volume 21
page 141-221
(2011)
On Roth’s theorem on progressions
Ann. of Math. (2)
volume 174
page 619-636
(2011)
On a non-abelian Balog-Szemerédi-type lemma
Journal of the Australian Mathematical Society
volume 89
page 127-132
(2010)
On certain other sets of integers
(2010)
Recent Publications:
Boolean functions with small spectral norm, revisited
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY
issue 2
volume 167
page 335-344
(September 2019)
Full text available
Schur's colouring theorem for non-commuting pairs
Bulletin of the Australian Mathematical Society
(11 April 2019)
Full text available
Approximate homomorphisms between the boolean cube and groups of prime order
Online Journal of Analytic Combinatorics
issue 13
page 1-7
(1 January 2018)
SOLVING xz = y(2) IN CERTAIN SUBSETS OF FINITE GROUPS
QUARTERLY JOURNAL OF MATHEMATICS
issue 1
volume 68
page 243-273
(March 2017)
Full text available
A statistical approach to covering lemmas
EUROPEAN JOURNAL OF COMBINATORICS
volume 48
page 19-33
(August 2015)
Full text available
Research interests:
I am a research mathematician interested in aspects of algebra, analysis, combinatorics, geometry and number theory, with particular emphasis on using tools from the former to address problems in the latter. I completed my PhD in additive combinatorics and since then my research has primarily focused on additive combinatorics and the allied areas of harmonic analysis and analytic number theory.
Preferred address:
Prizes, awards, and scholarships:
Adams Prize (2011), European Mathematical Society Prize (2012), Whitehead Prize (2013), European Prize in Combinatorics (2013), ICM Section Lecture (2014)