Mathematical interests

• Mathematical logic
• Model theory of metric structures
• Ultraproducts in analysis
• Descriptive set theory
• My research statement can be found here

Dissertation

• Model Theory of Nakano Spaces

Articles accepted

• Poitevin, L. Pedro and Yves Raynaud, Ranges of positive contractive projections in Nakano spaces, Indagationes Mathematicae, to appear.

Articles in preparation

• Model theory of Nakano spaces
• Elementary classes of Musielak-Orlicz spaces

Expository notes

• Introducción a la lógica continua para estructuras métricas y aplicaciones (draft): these are the lecture notes of a mini-course on continuous logic for metric structures that took place during the Segunda Escuela de Verano de Matemáticas at Universidad Sergio Arboleda, in Bogotá, Colombia.