Pablo Candela

Research interests

Analysis and combinatorics, especially combinatorial applications of harmonic analysis.
Among such applications, those I focus on are in arithmetic combinatorics.

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Publications and preprints

          (MR = Mathematical Reviews,    RG = Research Gate)

• On the inverse theorem for Gowers norms on abelian groups of bounded torsion
  With Diego González-Sánchez and Balázs Szegedy.
  Preprint. RG, arXiv
• On measure-preserving F_p^ω-systems of order k
  With Diego González-Sánchez and Balázs Szegedy.
  To appear in Journal d'Analyse Mathématique. RG, arXiv
• Free nilspaces, double-coset nilspaces, and Gowers norms
  With Diego González-Sánchez and Balázs Szegedy.
  Preprint. RG, arXiv
• On F_2^ω-affine-exchangeable probability measures
  With Diego González-Sánchez and Balázs Szegedy.
  Preprint. RG, arXiv
• On higher-order Fourier analysis in characteristic p
  With Diego González-Sánchez and Balázs Szegedy.
  Ergodic Theory and Dynamical Systems 43 (2023), no. 12, 3971-4040. RG, arXiv, MR
• A refinement of Cauchy-Schwarz complexity
  With Diego González-Sánchez and Balázs Szegedy.
  European Journal of Combinatorics 106 (2022), Paper No. 103592. RG, arXiv, EuroComb 2021, MR
• Regularity and inverse theorems for uniformity norms on compact abelian groups and nilmanifolds
  With Balázs Szegedy.
  Journal für die Reine und Angewandte Mathematik (Crelle's Journal) 789 (2022), 1-42. RG, arXiv, MR
• Nilspace factors for general uniformity seminorms, cubic exchangeability and limits
  With Balázs Szegedy.
  Memoirs of the American Mathematical Society 287 (2023), no. 1425, v+101pp. RG, MR
• On Motzkin's problem in the circle group
  With Carlos Catalá, Juanjo Rué, and Oriol Serra.
  Proceedings of the Steklov Institute of Mathematics 314 (2021), 44-63. MR
• Introducción a métodos de análisis de Fourier en combinatoria aritmética
  Chapter of book Aritmética, Grupos y Análisis (AGRA II, Cusco, Perú), Publicações Matemáticas 42, IMPA (2022). RG, arXiv
• Coloring graphs by translates in the circle
  With Carlos Catalá, Robert Hancock, Adam Kabela, Dan Král', Ander Lamaison, and Lluís Vena.
  European Journal of Combinatorics 96 (2021), Paper No. 103346. RG, arXiv, MR
• On sets with small sumset and m-sum-free sets in Z/pZ
  With Diego González-Sánchez and David Grynkiewicz.
  Bulletin de la Société Mathématique de France 149 (2021), no. 1, 155-177. RG, arXiv, MR
• On nilspace systems and their morphisms
  With Diego González-Sánchez and Balázs Szegedy.
  Ergodic Theory and Dynamical Systems 40 (2020), no. 11, 3015-3029. RG, arXiv, MR
• A step beyond Freiman's theorem for set addition modulo a prime
  With Oriol Serra and Christoph Spiegel.
  Journal de Théorie des Nombres de Bordeaux 32 (2020), no. 1, 275-289. RG, arXiv, MR
• Memorial to Javier Cilleruelo: a problem list
  With Juanjo Rué and Oriol Serra.
  Integers 18 (2018), Paper No. A28, 9 pp. RG, MR
• A Plünnecke-Ruzsa inequality in compact abelian groups
  With Anne de Roton and Diego González-Sánchez.
  Revista Matemática Iberoamericana 35 (2019) 7, 2169-2186. RG, arXiv, MR
• On sets with small sumset in the circle
  With Anne de Roton.
  Quarterly Journal of Mathematics 70 (2019), 49-69. RG, arXiv, MR
• 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.
  Journal d'Analyse Mathématique 135 (2018) (2), 437-471. RG, arXiv, MR
• Towers for commuting endomorphisms, and combinatorial applications
  With Artur Avila.
  Annales de l'Institut Fourier 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.
  Annals of Combinatorics 20 (2016), no. 3, 487-524. RG, arXiv, MR
• On the dimension of additive sets
  With Harald Helfgott.
  Acta Arithmetica 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 Journal on Discrete Mathematics 28 (2014) (2), 786-810. RG, arXiv, MR
• A removal lemma for linear configurations in subsets of the circle
  With Olof Sisask.
  Proceedings of the Edinburgh Mathematical Society 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 Mathematica Hungarica 132 (2011) (3), 223-243. RG, arXiv, MR
• On the structure of steps of three-term arithmetic progressions in dense sets of integers
  Bulletin of the London Mathematical Society 42 (2010) (1), 1-14. MR
• Structure along arithmetic patterns in sequences of vectors
  Combinatorics, Probability and Computing 18 (2009) (6), 861-870. MR