Pablo Andújar Guerrero

CV

I am currently a fellow of the following Field's programs.

• Thematic Program on Trends in Pure and Applied Model Theory.
• Thematic Program on Tame Geometry, Transseries and Applications to Analysis and Geometry.

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)

Ph.D. Thesis