Status:
Senior Research Fellow Royal Society University Research Fellow Tutorial Fellow at St. Hugh's College
Personal website:
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 certain other sets of integers
(2010)
Recent Publications:
On monochromatic solutions to x−y=z2
Acta Mathematica Hungarica
issue 2
volume 161
page 550-556
(22 July 2020)
Schur's colouring theorem for non-commuting pairs
Bulletin of the Australian Mathematical Society
(11 April 2019)
Full text available
Boolean functions with small spectral norm, revisited
Mathematical Proceedings of the Cambridge Philosophical Society
issue 2
volume 167
page 335-344
(16 May 2018)
Approximate homomorphisms between the Boolean cube and groups of prime order
Online Journal of Analytic Combinatorics
issue 2018
volume 13
page 1-7
(18 April 2018)
Solving xz=y^2 in certain subsets of finite groups
Quarterly Journal of Mathematics
issue 1
volume 68
page 243-273
(6 January 2017)
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)