Jose Burillo Puig

Jose Burillo Puig is a Professor at the Universitat Politècnica de Catalunya (UPC), affiliated with the Department of Mathematics within the Faculty of Mathematics and Statistics (FME). He is a core member of the GAPCOMB Group (Geometric, Algebraic, and Probabilistic Combinatorics), focusing on advanced research in geometric and combinatorial group theory. His work emphasizes the study of Thompson’s groups, metric properties of groups, and algebraic combinatorics.

Key research areas include irrational-slope Thompson’s groups, commutator structures in piecewise projective groups, and the conjugacy problem in group extensions. He has led multiple competitive R&D projects funded by Spanish and Catalan agencies, such as Métodos Geométricos en Teoría de Grupos and Red Española de Teoría de Grupos. He collaborates actively with researchers like Sean Cleary, Armando Martino, and Enric Ventura.

His publications span Advances in Mathematics, Israel Journal of Mathematics, and Geometry & Topology, addressing topics like subgroup conjugacy, metric geometry, and group automorphisms. He has supervised projects related to geometric aspects of Thompson’s groups and combinatorial group theory.

Burillo Puig holds an ORCID ID (0000-0002-1078-3614) and is part of UPC’s research network, contributing to initiatives like the Geometric, Algebraic and Probabilistic Combinatorics group. His research bridges abstract algebra with geometric and probabilistic methods, shaping contemporary group theory.