Ivan Marin

Ivan Marin is a Professor of Mathematics at the University of Picardie-Jules Verne (also known as University of Amiens), currently on a CNRS delegation at the Institute of Mathematics of Jussieu-Paris Rive Gauche (UMR CNRS 7586). He works at LAMFA (Laboratoire Amiénois de Mathématique Fondamentale et Appliquée) where his office is C013. His research spans multiple areas of algebraic mathematics with a strong focus on structural properties of various algebraic systems.

Marin's research interests primarily center around braid groups, reflection groups, and their representations. His work explores the deep connections between Lie algebras, Galois theory, and topological structures. He has made significant contributions to the understanding of Hecke algebras, monodromy representations, and the Broué-Malle-Rouquier conjecture. His approach often involves studying algebraic structures through their representations, examining how group-theoretic properties manifest in linear algebraic settings. Marin's work bridges pure algebra with topological and geometric perspectives, creating a rich interdisciplinary research program that has substantial implications for representation theory and algebraic topology.

Analysis of his recent publications reveals a consistent focus on the structural properties of braid groups and their generalizations. His work shows increasing sophistication in handling complex reflection groups and their associated braid structures. Marin has been particularly active in proving the BMR conjecture for various cases and exploring cubic Hecke algebras. His research demonstrates a progression from foundational representation theory toward more specialized structures with applications in knot theory and topological quantum computing.

Marin has established significant collaborations with mathematicians including Olivier Brunat, Marc Cabanes, Jean Michel, François Digne, Emmanuel Wagner, Filippo Callegaro, Götz Pfeiffer, Kay Magaard, Vincent Beck, Thomas Gobet, Anthony Henderson, and Juan González-Meneses. These collaborations span multiple institutions and have resulted in numerous joint publications addressing fundamental questions in algebra and topology.

His academic journey includes completing his doctorate in 2001 on linear representations of infinitesimal braids, followed by his Habilitation à Diriger des Recherches (HDR) in 2009 focusing on linear representations of generalized braid groups associated with finite reflection groups. This trajectory demonstrates a sustained commitment to advancing our understanding of algebraic structures and their representations over more than two decades.