Pure Mathematics

I am doctor in mathematics, currently a university researcher at the Department of Mathematics and Statistics of the University of Helsinki.

Before, I was a senior postdoctoral researcher at the Institute of Mathematics of the University of Vienna, leader of the FWF project Generalized Baire spaces, structures and combinatorics (August 2021 - September 2023). I was a postdoctoral researcher working with Lyubomyr Zdomskyy at the Institute of Mathematics of the University of Vienna (January 2021 - July 2021).
Before that I was a visitng researcher fellow at the Institute of Mathematics of the University of Vienna. The research was supported by the Vilho, Yrjö and Kalle Väisälä Foundation of the Finnish Academy of Science and Letters, leader of the project The Borel-reducibility hierarchy and generalized (December 2019 - November 2020).
Before that I was postdoctoral fellow at the Department of Mathematics, Bar-Ilan University, under the supervision of Prof. Assaf Rinot (December 2018 - November 2019).
During 2018 I was a substitute lecturer at the University of Helsinki during the spring semester.

Short CV

I finished my Ph.D. in Finland at the University of Helsinki under the supervision of Tapani Hyttinen, thesis defended on 2017 with grade "Pass with Distinctions". My master studies were done in Germany at the University of Bonn, the thesis was done under the supervision of Peter Koepke and Philipp Schlicht with grade 1.0. My bachelor in mathematics was done in Colombia at the National University of Colombia (campus Bogotá), the thesis was done under the supervision of Humberto Sarria with grade 4.8/5.0.

Erdös number

3

Research interests

Model theory: Classification theory, stability theory, isolation notions.

Set theory: Generalized descriptive set theory (GDST), reflection principles, large cardinals.

Combinatorics: Games with models, colorable structures.

Co-authors

David Asperó , Gabriel Fernandes , Tapani Hyttinen , Vadim Kulikov , Assaf Rinot .

Orcid

0000-0001-5180-2327