Professor
Research Interests: arithmetic combinatorics, harmonic analysis, analytic number theory
Publications
Szemerédi's Theorem in the Primes
– Proceedings of the Edinburgh Mathematical Society
(2018)
62,
443
(doi: 10.1017/s0013091518000561)
Stable arithmetic regularity in the finite field model
– Bulletin of the London Mathematical Society
(2018)
51,
70
(doi: 10.1112/blms.12211)
Ramsey multiplicity of linear patterns in certain finite abelian groups
– The Quarterly Journal of Mathematics
(2016)
68,
haw011
(doi: 10.1093/qmath/haw011)
Finite field models in arithmetic combinatorics – ten years on
– Finite Fields and Their Applications
(2015)
32,
233
(doi: 10.1016/j.ffa.2014.11.003)
Quadratic Goldreich--Levin Theorems
– SIAM Journal on Computing
(2014)
43,
730
(doi: 10.1137/12086827x)
Polynomial Configurations in the Primes
– International Mathematics Research Notices
(2013)
2014,
6448
(doi: 10.1093/imrn/rnt169)
LINEAR FORMS AND QUADRATIC UNIFORMITY FOR FUNCTIONS ON ZN
– Journal d'Analyse Mathématique
(2011)
115,
121
(doi: 10.1007/s11854-011-0026-7)
Linear forms and quadratic uniformity for functions on $\Bbb F^n_p$
– Mathematika. A Journal of Pure and Applied Mathematics
(2011)
57,
215
(doi: 10.1112/s0025579311001264)
Linear Forms and Higher-Degree Uniformity for Functions On ${\mathbb{F}^{n}_{p}}$
– Geometric and Functional Analysis
(2011)
21,
36
(doi: 10.1007/s00039-010-0106-3)
The structure of popular difference sets
– Israel Journal of Mathematics
(2010)
179,
253
(doi: 10.1007/s11856-010-0081-2)
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