Jeremy Toulisse

Jeremy Toulisse is a Lecturer at the University of Nice - Sophia Antipolis, where he works within the Faculty of Sciences at the J.A. Dieudonné Mathematics Laboratory (UMR n° 7351 CNRS UNS). His office is located at number 713 in Nice, France. Toulisse holds an HDR (Habilitation à Diriger des Recherches), which qualifies him to supervise PhD students in the French academic system.

Toulisse's research focuses on advanced geometric structures and representation theory. His primary interests include Higher-rank Teichmüller theory and Anosov representations, Higgs bundles, harmonic applications, pseudo-Riemannian geometry, minimal and maximal surfaces, and quantum Teichmüller theory. His work bridges differential geometry, topology, and mathematical physics, with particular emphasis on geometric structures arising from surface group representations.

Analysis of Toulisse's publication record reveals a consistent focus on geometric structures in pseudo-Riemannian settings, particularly examining maximal and minimal surfaces in various geometric contexts. His research shows strong connections between representation theory, harmonic maps, and geometric analysis, with increasing attention to higher-rank generalizations of classical Teichmüller theory. The progression of his work demonstrates movement from foundational studies in hyperbolic geometry toward more complex structures in pseudo-hyperbolic spaces and symmetric spaces.

Toulisse has been actively involved in the mathematical community through workshop organization. He has co-organized multiple specialized workshops including the Workshop on Anosov representations (2021), the Workshop on Minimal surfaces in symmetric spaces and Labourie's conjecture (2022), and the Relative character varieties and parabolic Higgs bundles workshop (2018). These workshops, often funded by organizations like the European Research Council and Persyval-Lab, focus on cutting-edge topics in geometric representation theory and attract researchers from around the world.

As part of the J.A. Dieudonné Mathematics Laboratory, Toulisse contributes to one of France's prominent mathematics research centers. His work intersects with several research teams within the laboratory that focus on differential geometry, topology, and mathematical physics. The collaborative nature of his publications, particularly with researchers like François Labourie, Brian Collier, and Nicolas Tholozan, demonstrates his integration into international research networks focused on geometric structures and representation theory.