Papers

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  1. Product sets in sets of returns and positivity of symmetric ergodic averages
    with V. Bergelson.
    arXiv
  2. Bohr obstructions to recurrence along Hardy-field sequences
    with K. Ouyang, Leiye Xu and Shuhao Zhang.
    arXiv
  3. A Cautionary Tale -- Every Set is an Interval Set and an Equiset
    with D. Anderson.
    To appear in J. Convex Anal.
    ResearchGate
  4. An inverse of Furstenberg's correspondence principle and applications to van der Corput sets.
    Trans. Amer. Math. Soc. 378 (2025), no. 12, 8909–8942.
    Journal arXiv
  5. Some novel constructions of Gromov-Hausdorff optimal correspondences between spheres.
    To appear in Exp. Math.
    Journal arXiv
  6. Gromov-Hausdorff distances from simply connected geodesic spaces to the circle.
    Proc. Amer. Math. Soc. Ser. B 11 (2024), 624–637.
    Journal arXiv
  7. Competing holes in open dynamical systems.
    with A. Della Corte, M. Farotti.
    Proc. Amer. Math. Soc. 152 (2024), no. 12, 5163–5173.
    Journal ResearchGate

Theses

  1. Candidacy examination.
    Directed by Vitaly Bergelson, with additional research directed by Facundo Mémoli.
    PDF Slides
  2. Outer Space.
    Master thesis, directed by Henry Wilton (2022).
    PDF
  3. Topological characterization of some singular subspaces of the real line. Important applications in General Topology.
    Undergraduate thesis, directed by María Isabel Garrido (2021).
    PDF (Spanish) Slides