David J. Fernández-Bretón, Assistant Professor
Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional

My name is David Fernández1, and I hold a position (profesor PICPAE) that is roughly equivalent to a tenure-track assistant professorship at Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, in Mexico City.

My education as a researcher is originally in Logic and Foundations, particularly in Set Theory and especially in infinitary combinatorics and consistency and independence proofs. Throughout my trajectory, I have also worked in the intersection of the aforementioned topics and algebra, analysis, and topology. Another recurrent theme in my research work is the way the world looks like when one does not assume the Axiom of Choice. A significant chunk of my work has dealt with additive combinatorics in the infinite realm, especially on uncountable structures. A thorough list of my multiple research lines, including links to the relevant papers, can be found in the section on research on this website.

I did my PhD at York University in Toronto, Canada, where my supervisor was Juris Steprāns2. After that, I held various postdoc jobs, at the University of Michigan (for three years, working with Andreas Blass), at the Kurt Gödel Research Center for Mathematical Logic in Viena (for one semester, working with Vera Fischer), at Cinvestav (for one semester, working with Enrique Reyes), and at UNAM (for two years, working with Gerardo Acosta). An interesting but irrelevant fact is that my Erdős number is 3.


1. My paternal surname is Fernández, and my maternal surname is Bretón; this is a distinction that English-speaking people are not familiar with and therefore they tend to get the whole thing wrong all the time. If you'd like to get it right, go read the relevant Wikipedia article, especially the "forms of address" subsection; basically, don't ever use "Bretón" unless you're willing to also use "Fernández" at the same time.
2. If you're interested in these things, you can check out my genealogy.