About
I am a mathematician from Bogotá, Colombia. I completed my Ph.D. in Mathematics at Universidad de los Andes (Colombia) in June 2025. My doctoral dissertation,
Combinatorics of Ideals on ω: the Category Dichotomy and the Measure Dichotomy,
was supervised by
Carlos Augusto di Prisco
and
Michael Hrušák.
The official version of the thesis is available
here.
Previously, I obtained a Master’s degree in Mathematics at Universidad de los Andes
under the supervision of
Xavier Caicedo.
I completed my undergraduate studies in Mathematics at Universidad Nacional de Colombia,
where I worked with
Pedro Zambrano.
Research interests #
My research lies in mathematical logic, with primary interests in descriptive set theory, infinite combinatorics, and forcing.
Talks and Events
#
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Ideales de subconjuntos densos en ninguna parte sobre espacios de Dow.
XIII Simposio Nororiental de Matemáticas
Escuela de Matemáticas, Universidad Industrial de Santander.
Bucaramanga, Colombia. December 1–5, 2025.
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Espacios topológicos y la Dicotomía de Categoría.
Taller Mexicano de Topología
Facultad de Ciencias, Universidad Nacional Autónoma de México.
Mexico City, Mexico. June 15–19, 2025.
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Nowhere Dense Ideals and the Category Dichotomy.
Weekly Math Seminar
Faculty of Mathematics, Physics and Informatics, University of Gdańsk.
Gdańsk, Poland. May 13, 2025.
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The Roaming Logic Conference
(Participant)
Faculty of Mathematics, Informatics and Mechanics of the University of Warsaw.
Warsaw, Poland. May 9–11, 2025.
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Pathological Lower Semicontinuous Submeasures and Fσ Ideals on ω (Poster).
Young Set Theory Workshop
University of Münster.
Münster, Germany. May 29 – June 3, 2023.
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Sixth Workshop on Generalized Baire Spaces
(Participant)
Technische Universität Wien.
Wien, Austria. July 26–28, 2023.
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Compact Extensions of Continuous Logic and Partition Properties.
XVIII Latin American Symposium on Mathematical Logic
Universidad de Concepción.
Concepción, Chile. December 16–20, 2019.
email:r.figueroa@uniandes.edu.co
office: Universidad de los Andes, I-117