Personal websites

Research

Preprints

Published articles

  • Stabilizers, measures and IP-sets, with Amador Martin-Pizarro.
    Notre Dame Journal of Formal Logic (accepted) arXiv DOI
  • Spectral spaces in o-minimal and other NIP theories, with Elías Baro and José F. Fernando.
    Israel Journal of Mathematics (accepted) arXiv DOI
  • Rings of finite Morley rank without the canonical base property, with Michael Loesch.
    Journal of Mathematical Logic (2024) arXiv DOI
  • Complete type amalgamation for non-standard finite groups, with Amador Martin-Pizarro.
    Model Theory 3 (2024) no. 3, 1-37 arXiv DOI
  • Ellis enveloping semigroups in real closed fields, with Elías Baro.
    Revista de la Real Academia de las Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 118 (2024), article number 69, pp. 22. arXiv DOI
  • Probabilistically-like nilpotent groups.
    Journal of Algebra 606 (2022), 798-818 arXiv DOI
  • Finite groups contain large centralizers.
    Israel Journal of Mathematics 244 (2021), 621-624 arXiv DOI
  • A model-theoretic note on the Freiman-Ruzsa theorem, with Amador Martin-Pizarro and Julia Wolf.
    Selecta Mathematica 27 (2021), no. 4, Article number: 53. arXiv DOI
  • Centralizers in pseudo-finite groups, with Nadja Hempel.
    Journal of Algebra 569 (2021), no. 1, 258-275.  arXiv DOI
  • On compactifications and product-free sets.
    Journal of the London Mathematical Society 101 (2020), no. 1, 156-174. arXiv DOI

  • The dp-rank of abelian groups, with Yatir Halevi.
    Journal of Symbolic Logic 84 (2019), no. 3, 957-986. arXiv DOI

  • Ample Pairs, with Enrique Casanovas and Amador Martin-Pizarro.


    Fundamenta Mathematicae 247 (2019), 37-48. arXiv DOI

  • On n-dependence, with Artem Chernikov and Kota Takeuchi.
    Notre Dame Journal of Formal Logic 60 (2019), no. 2, 195-214. arXiv DOI

  • A note on FC-nilpotency, with Nadja Hempel.
    Journal of Algebra and Its Applications 17 (2018), no. 9, 6 pages. arXiv DOI
  • On the class of flat stable theories, with Saharon Shelah.
    Annals of Pure and Applied Logic 169 (2018), no. 8, 835-849. arXiv DOI
  • Finite rank and pseudofinite groups.


    Journal of Group Theory 21 (2018), no. 4, 583-591. arXiv DOI

  • Superstable expansions of free abelian groups, with Rizos Sklinos.
    Notre Dame Journal of Formal Logic 59 (2018), no. 2., 157-169. arXiv DOI

  • Division rings with ranks, with Nadja Hempel
    Proceedings of the American Mathematical Society 146 (2018), no. 2, 803-817. arXiv DOI

  • Generalized amalgamation and homogeneity
    Journal of Symbolic Logic 82 (2017), no. 4, 1409-1421. arXiv DOI

  • On definable Galois groups and the strong canonical base property, with Anand Pillay.
    Journal of Mathematical Logic 17 (2017), no. 1., 10 pages. arXiv DOI
  • A Fitting theorem for simple theories, with Frank O. Wagner.
    Bulletin of the London Mathematical Society 48 (2016), no. 3, 472-482. arXiv DOI
  • Rigidity, internality and analysability, with Frank O. Wagner.
    Fundamenta Mathematicae 224 (2014), no. 1, 53-65. arXiv DOI
  • On the canonical base property, with Ehud Hrushovski and Anand Pillay.
    Selecta Mathematica 19 (2013), no. 4, 865-877. arXiv DOI
  • Ample thoughts, with Frank O. Wagner.
    Journal of Symbolic Logic 78 (2013), no. 2, 489-510. arXiv DOI
  • Elimination of hyperimaginaries and stable independence in simple CM-trivial theories, with Frank O. Wagner.


    Notre Dame Journal of Formal Logic 54 (2013), no. 3-4, 541-551. arXiv DOI

  • On omega-categorical simple theories.

    Archive for Mathematical Logic 51 (2012), no. 7, 709-717. arXiv DOI

Chapters in books

  • An introduction to stability theory.

    Chapter in Lectures in Model Theory. Münster Lectures in Mathematics. European Mathematical Society (EMS) Publishing House, 2018, 1-27. DOI PDF

Textbook

  • Lectures in Model Theory. Editors: Franziska Jahnke, Daniel Palacín and Katrin Tent.
    Münster Lectures in Mathematics. European Mathematical Society (EMS) Publishing House, 2018. DOI