- (MAIN:) Model Theory. Stability Theory in Non-elementary Classes.
- Connections between Set Theory and Model Theory.
- Connections between Geometry and Model Theory (Sheaves, Foliations, etc.).
- Connections with Non-Commutative Geometry.
- Philosophy of Mathematics, Connections between Art and Mathematics.
- Math research: papers, preprints, lectures.
- Teaching: a blog directed mainly to my students. Currently (II-2014): Advanced Topics in Logic and Discrete Math 2.
- Mathematical bio: academic history, mathematical path, places visited, collaborators, thesis students.
- Blog: a more personal take on many subjects: math, art, politics, life, books…
- Philosophy: papers, ideas, events, lectures.
- Artistic projects – Project Topoi. SOON (19.3.16: video screening in Manhattan)
- Mapping Traces / Tertulia matemática
Contact: avillavecesn at unal.edu.co.Departamento de Matemáticas – Universidad Nacional – Bogotá – Colombia – AK 30 # 45-03 – 111321 – Bogotá – Colombia – Tel: +57 1 3165000 ext 13209