Jérémy Toulisse

Mathematics · Université Côte d’Azur

Jérémy
Toulisse

Full Professor of Mathematics

Université Côte d’Azur — Laboratoire J.A. Dieudonné

Nice, France Office 703 Email arXiv ↗

About

I am a mathematician at the Laboratoire J.A. Dieudonné at Université Côte d’Azur.

I obtained my PhD in July 2015 under the supervision of Jean-Marc Schlenker. In 2019, I became Assistant Professor in Nice. I was appointed junior member of the Institut Universitaire de France (IUF) in 2024. In 2026, I became full professor at Université Côte d’Azur.

My research interests include higher Teichmüller theory, Higgs bundles, Anosov representations, harmonic maps, pseudo-Riemannian geometry, minimal and maximal surfaces, and geometric structures.

Higher Teichmüller theory Higgs bundles Anosov representations Harmonic maps Pseudo-Riemannian geometry Minimal & maximal surfaces Geometric structures

Publications
and preprints

01
F. Labourie, J. Toulisse, Y. Wang

Lorentz–Epstein surfaces and a Liouville action for positive curves

To appear in Communications in Mathematical Physics (2026)
02
B. Collier, R. Wentworth, J. Toulisse

Higgs bundles, isomonodromic leaves and minimal surfaces

Submitted (2025)
03
M. Ancona, F. Labourie, A. Roig-Sanchis, J. Toulisse

Minimal surfaces with negative curvature in large dimensional spheres

To appear in Duke Mathematical Journal (2025)
04
A. Seppi, G. Smith, J. Toulisse

On complete maximal submanifolds in pseudo-hyperbolic space

Submitted (2023)
05
B. Collier, J. Toulisse

Holomorphic curves in the 6-pseudosphere and cyclic surfaces

Transactions of the American Mathematical Society, 377(09), 6465–6514 (2024)
06
F. Labourie, J. Toulisse

Quasicircles and quasiperiodic surfaces in pseudo-hyperbolic spaces

Inventiones Mathematicae, 233 (2023)
07
F. Labourie, J. Toulisse, M. Wolf

Plateau Problems for Maximal Surfaces in Pseudo-Hyperbolic Spaces

Annales Scientifiques de l’École Normale Supérieure, 57(2) (2024)
08
N. Tholozan, J. Toulisse

Compact connected components in relative character varieties of punctured spheres

Epijournal de Géométrie Algébrique, Volume 5 (2021)
09
J. Toulisse

Higgs bundles, pseudo-hyperbolic geometry and maximal representations

Actes du séminaire TSG, Tome 34 (2017)
10
B. Collier, N. Tholozan, J. Toulisse

The geometry of maximal representations in SO(2,n)

Duke Mathematical Journal, 168(15) (2019)
11
J. Toulisse

Irreducible decomposition for local representations of quantum Teichmüller space

Pacific Journal of Mathematics, 294 (2018)
12
J. Toulisse

Minimal diffeomorphisms between hyperbolic surfaces with cone singularities

Communications in Analysis and Geometry, 27 (2019)
13
J. Toulisse

Maximal surfaces in anti-de Sitter 3-manifolds with particles

Annales de l'Institut Fourier, Vol. 66, No. 4 (2016)
14
J. Arias de Reyna, J. Toulisse

The n-th prime asymptotically

Journal de Théorie des Nombres de Bordeaux, 25 (2013)

Collaborators

PhD students

Miscellaneous

Some pseudo-Riemannian aspects of higher rank Teichmüller theory HDR manuscript Curriculum Vitae PDF