Welcome to Miguel A. Cardona's homepage

Research Post-doc Fellow:

• Octubre 2025-Current. Research at the Institución Universitaria Pascual Bravo. 

• April 2024–September 2025. 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 the 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:

• 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 include 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 mainly focused on the study of finitely additive measures along the finite support iterations and ideals on natural numbers.

News: 

• In December, I will give a talk at the RIMS 2025 in Kyoto, Japan (online).

• 5th September, I have been invited to give a talk at the Conference on the occasion of Jörg Brendle's 60th birthday in Kobe, Japan. 

• September 8 - 12, I have been invited to give a talk at the 18th Asian Logic Conference (ALC)  in Kyoto, Japan.

Keep in mind:

This is my new and updated page. I no longer have access to the previous one (https://sites.google.com/mail.huji.ac.il/miguel-cardona-montoya/home-page).

I would recommend that you visit this site for the most recent information about my work.