Peer-Reviewed



  1. Maximal independence and singulars. Submitted, a preprint can be found here , 2023.
  2. Maximal almost disjoint families at singular cardinals. Submitted, a preprint can be found here , 2022.
  3. Higher Independence. With Vera Fischer. Accepted in the Journal of Symbolic Logic, 1-24. doi:10.1017/jsl.2022.33. 2022.
  4. Towers and pseudointersections. With Vera Fischer, Jonathan Schilhan and Daniel Soukup. Fundamenta Mathematicae 257, 141-166, 2022.
  5. Ideals of independence. With Vera Fischer. Archive for Mathematical Logic. Volume 58, pages 767-785, 2019.
  6. Cichón's diagram for uncountable cardinals. With Andrew Brooke-Taylor, Jörg Brendle and Sy-David Friedman. Israel Journal of Mathematics. https://doi.org/10.1007/s11856-018-1688-y, 2018.
  7. Coherent systems of finite support iterations. With Vera Fischer, Sy-David Friedman and Diego Alejandro Mejía. Journal of Symbolic Logic 83(1), 208-236. doi:10.1017/jsl.2017.20, 2018.
  8. Cardinal characteristics at κ in a small u(κ) model . With Andrew Brooke-Taylor, Vera Fischer and Sy-David Friedman. Annals of Pure and Applied Logic. Volume 168, Issue 1, Pages 37-49, January 2017.
  9. A base-matrix lemma for sets of rationals modulo nowhere dense sets . With Jörg Brendle. Archive for mathematical logic. Volume 51, Issue 3, Pages 305-317. May 2012.


In preparation / Ongoing projects



  1. Preservation of maximal independent families.. With David Chodounský and Osvaldo Guzmán.
  2. Pseudointersections and towers for singulars. With Raúl Figueroa.
  3. The probabilistic method in set theory.


Theses



  1. Some cardinal invariants of the generalized Baire spaces. Doctoral dissertation. Advisor: Sy-David Friedman. June 2017.
  2. Forcing notions presented as quotients. Master thesis. Advisors: Jörg Brendle and Ramiro de la Vega Sinisterra. July 2010.
  3. (In Spanish) Versiones definibles en teoría combinatoria de conjuntos. Title in English: Definable versions in combinatorial set theory. Undergraduate Thesis. Advisor: Andrés Villaveces Niño. June 2008.