## Research interests

Analysis and combinatorics, especially combinatorial applications of harmonic analysis.

Among such applications, those I focus on are in arithmetic combinatorics.

## Papers and preprints

(MR = Mathematical Reviews, RG = Research Gate)

*A Plünnecke-Ruzsa inequality in compact abelian groups*

With Anne de Roton and Diego González-Sánchez.
Preprint 2017, 18pp. RG, arXiv
*On sets with small sumset in the circle*

With Anne de Roton.
Preprint 2017, 22pp. RG, arXiv
*Notes on compact nilspaces*

Discrete Analysis, 2017:16, 57pp. RG, arXiv, MR
*Notes on nilspaces: algebraic aspects*

Discrete Analysis, 2017:15, 59pp. RG, arXiv, MR
*A continuous model for systems of complexity 2 on simple abelian groups*

With Balázs Szegedy. To appear in J. Anal. Math. RG, arXiv
*Towers for commuting endomorphisms, and combinatorial applications*

With Artur Avila.
Ann. Inst. Fourier (Grenoble) 66 (2016), no. 4, 1529-1544. RG, arXiv, MR
*On linear configurations in subsets of compact abelian groups, and invariant measurable hypergraphs*

With Balázs Szegedy and Lluís Vena.
Ann. Comb. 20 (2016), no. 3, 487-524. RG, arXiv, MR
*On the dimension of additive sets*

With Harald Helfgott.
Acta Arith. 167 (2015) (1), 91-100. RG, arXiv,
MR
*Convergence results for systems of linear forms on cyclic groups, and periodic nilsequences*

With Olof Sisask.
SIAM J. Discrete Math. 28 (2014) (2), 786-810. RG, arXiv,
MR
*A removal lemma for linear configurations in subsets of the circle*

With Olof Sisask.
Proc. Edinburgh Math. Soc. 56 (2013) (3), 657-666. RG, arXiv,
MR
*On the asymptotic maximal density of a set avoiding solutions to linear equations modulo a prime*

With Olof Sisask.
Acta Math. Hungar. 132 (2011) (3), 223-243. RG, arXiv,
MR
*On the structure of steps of three-term arithmetic progressions in dense sets of integers*

Bull. London Math. Soc. 42 (2010) (1), 1-14. MR
*On certain norms related to the Gowers uniformity norms*

Preprint.
*Structure along arithmetic patterns in sequences of vectors*

Combin. Probab. Comput. 18 (2009) (6), 861-870. MR