Analysis and combinatorics, especially combinatorial applications of harmonic analysis.

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

(MR = Mathematical Reviews, RG = Research Gate)

*Regularity and inverse theorems for uniformity norms on compact abelian groups and nilmanifolds*

With Balázs Szegedy. Preprint 2019, 35pp. RG, arXiv*On sets with small sumset and m-sum-free sets in Z/pZ*

With Diego González-Sánchez and David Grynkiewicz. Preprint 2019, 16 pp.*On nilspace systems and their morphisms*

With Diego González-Sánchez and Balázs Szegedy. To appear in Erg. Theory Dyn. Systems. RG, arXiv*A step beyond Freiman's theorem for set addition modulo a prime*

With Oriol Serra and Christoph Spiegel. Preprint 2018, 13 pp. RG, arXiv*Nilspace factors for general uniformity seminorms, cubic exchangeability and limits*

With Balázs Szegedy. Preprint 2018, 98pp. RG, arXiv*Memorial to Javier Cilleruelo: a problem list*

With Juanjo Rué and Oriol Serra. Integers 18 (2018), Paper No. A28, 9 pp. RG*A Plünnecke-Ruzsa inequality in compact abelian groups*

With Anne de Roton and Diego González-Sánchez. To appear in Rev. Mat. Iberoam. RG, arXiv*On sets with small sumset in the circle*

With Anne de Roton. Quart. J. Math. 70 (2019), 49-69. 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. J. Anal. Math. 135 (2018) (2), 437-471. 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