Publications

Ph.D. Thesis #

• Combinatorics of Ideals on ω: the Category Dichotomy and the Measure Dichotomy
  Ph.D. Thesis, Universidad de los Andes, 2025.
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Publications and preprints #

• The Category Dichotomy for Ideals  
  Joint with Alan Dow, Osvaldo Guzmán, and Michael Hrušák
  Annals of Pure and Applied Logic, 2026.
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• Are scales Fréchet?  
  Joint with Osvaldo Guzmán, Michael Hrušák, and Adam Kwela.
  Preprint, 2026.
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In Preparation #

• The Measure Dichotomy for F_σ Ideals.
  Joint with Michael Hrušák.
• Pseudointersections and Towers for Singular Cardinals.
  Joint with Diana Carolina Montoya.
• Generalized Quantifiers on Continuous Logic.
  Joint with Xavier Caicedo .