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Research Post-doc Fellow:
Research Post-doc Fellow:
April 2024–Current. Post-doc fellow at the Einstein Institute of Mathematics at the Hebrew University of Jerusalem under the supervision of Prof. Saharon Shelah.
April 2022-March 2024. Post-doc fellow at the Set Theory & Topology Seminar at the Pavol Jozef Šafárik University in Košice, Slovakia.
January 2022-March 2022. Post-doc fellow at the Institute of Discrete Mathematics and Geometry in the Set Theory group at the Technical University of Vienna under the mentorship of Dr. Jakob Kellner.
Education:
PhD at Technical University of Vienna, Austria. I worked under Dr. Jakob Kellner and Assoc. Prof. Diego A. Mejía with a dissertation titled "Forcing theory and combinatorics of the real line" The official version of the thesis can be found here: repositum.tuwien.at/handle/20.500.12708/19629
M.Sc. in Mathematics at Universidad Nacional de Colombia (Sede Medellín). I worked under the supervision of Assoc. Prof. Diego A. Mejía with a dissertation titled "Cardinal invariants associated with ideals between measure zero and strong measure zero" The official version of the thesis can be found here:
https://repositorio.unal.edu.co/handle/unal/58776
B. Sc. in Mathematics at Universidad Nacional de Colombia (Sede Medellín). I worked under the supervision of Prof. Andres Villaveces.
My research interests:
My research interests deal with Set Theory, specifically set theory of the reals, forcing theory such as forcing iterations, creature forcing, Cichon's diagram, infinite combinatorics, and cardinal invariants of the continuum. In the last few years, I have been mostly focused on the study of finitely additive measures along the finite support iterations and ideals on natural numbers.
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