Florent Nicolas Balacheff

Florent Nicolas Balacheff is a Professor in the Department of Mathematics at the Autonomous University of Barcelona, affiliated with the Laboratori d'interaccions entre geometria, àlgebra i topologia (LIGAT). He leads the UNIVERSAL GEOMETRIC STRUCTURES AND INEQUALITIES project (2022–2025) as Co-Principal Investigator, focusing on geometric inequalities and structures. His research explores systolic geometry, Finsler manifolds, and convex bodies, with applications to differential and metric geometry.

Research interests include systolic inequalities, geometric analysis, and topology. Recent work addresses Finsler tori isosystolic bounds, projective transformations of convex bodies, and curvature-free theorems. Collaborations span institutions globally, emphasizing geometric and topological studies.

His articles investigate geometric inequalities, systolic phenomena, and topological graph structures. He participates in grants like Invariantes locales y globales en geometria (2019–2022), advancing research in geometric topology and convex geometry. Active in the LIGAT lab, he contributes to interdisciplinary projects in geometry and algebra.