Pablo AndÃºjar Guerrero
Postdoctoral Fellow
The Fields Institute for
Research in Mathematical Sciences
pandujar@fields.utoronto.ca
I am currently a fellow of the following Field's programs.
Research Interests
I study model theory, an area of mathematical logic, and its interface with topology and combinatorics.
In particular I am interested in the following topics.
- Definable topology and analysis in o-minimal and other tame theories.
- Types and combinatorics in NIP theories.
Research Statement
Preprints and Work in Progress
- Types, transversals and definable compactness in o-minimal structures,
submitted, arXiv:2111.03802, pdf
- Definable (p,q) theorem for families with VC codensity less than 2,
in preparation.
- One-dimensional definable topological spaces in o-minimal structures, with Margaret E. M. Thomas and Erik Walsberg,
in preparation.
- Definable types in p-adically closed fields, with William Johnson,
in preparation.
Publications
- Directed sets and topological spaces definable in o-minimal structures, with Margaret E. M. Thomas and Erik Walsberg,
Journal of the London Mathematical Society, Second Series, 104 (2021) no. 3, 989-1010
(arXiv, pdf)