My research area is low dimensional geometry and topology. In particular, I focus on surfaces (hyperbolic and topological ones), Teichmüller and moduli spaces, mapping class groups and homeorphisms of surfaces.

Research group in Créteil

David Fisac (postdoc), starting October 2025
Ekaterina Kuritsina (PhD student, co-supervised with Juliette Bavard), since October 2024
Nolwenn Le Quellec (PhD student, co-supervised with Alfredo Hubard and Stéphane Sabourau), since September 2023
Yusen Long (postdoc), since November 2024
Achille Méthivier, (PhD student, co-supervised with Frédéric Le Roux), starting October 2025

Grants

• ANR Tremplin MAGIC, PI, 01/2024--12/2025.
• ANR PRC GALS, local coordinator, 10/2023--09/2028

• Colloque de Géométrie of the Geometry and Curvature team of the LAMA, Créteil
  

• Paroles aux jeunes chercheuses et chercheurs en géométrie et dynamique, édition 2022, Nov 23-25, 2022 Orsay
  
• two sessions of Geometry and TACoS, a series of online conferences on the Geometry and Topology of (Almost) Complex Structures
  
• Big Surf(aces) Seminar, an online seminar on infinite-type surfaces
  
• Geometry Day in Créteil, Nov 5, 2021, Créteil
  
• Geometry Day in Créteil, Jan 20, 2020, Créteil
  
• Geometric Analysis meets Geometric Topology, Feb 25-28, 2019, Heidelberg
  
• EWM German Chapter Conference 2018, May 3-4, 2018, Heidelberg

1. From curve graphs to fine curve graphs and back (with Sebastian Hensel)
   [arXiv version]
   
2. Orthosystoles and orthokissing numbers (with Ara Basmajian)
   [arXiv version]
   Algebraic & Geometric Topology (to appear)
3. Towards Nielsen-Thurston classification for surfaces of infinite type (with Mladen Bestvina and Jing Tao)
   [arXiv version]
   
4. Multitwists in big mapping class groups (with George Domat and Sebastian Hensel)
   [arXiv version]
   Algebraic & Geometric Topology (to appear)
5. Isospectral hyperbolic surfaces of infinite genus
   [arXiv version]
   International Mathematics Research Notices, 2022
6. Homeomorphic subsurfaces and the omnipresent arcs (with Tyrone Ghaswala and Alan McLeay)
   [arXiv version]
   Annales Henri Lebesgue 4 (2021), 1565–1593
7. Big mapping class groups acting on homology (with Sebastian Hensel and Nicholas G. Vlamis)
   [arXiv version]
   Indiana University Mathematics Journal 70 (2021), no. 6, 2261–2294
8. Graphs of curves on infinite-type surfaces with mapping class group actions (with Matthew Durham and Nicholas G. Vlamis)
   [arXiv version]
   Annales de l'Institut Fourier 68 (2018), no. 6, 2581–2612
   
9. Basmajian-type inequalities for maximal representations (with Beatrice Pozzetti)
   [arXiv version]
   Journal of Differential Geometry 116 (2020), no. 3, 405–458
10. Mapping class group orbits of curves with self-intersections (with Patricia Cahn and Bram Petri)
    [arXiv version]
    Israel Journal of Mathematics 223 (2018), no. 1, 53–74
11. Simplicial embeddings between multicurve graphs (with Viveka Erlandsson)
    [arXiv version]
    Michigan Mathematical Journal 66 (2017), no. 3, 549–567
12. Filling sets of curves on punctured surfaces (with Hugo Parlier)
    [arXiv version]
    New York Journal of Mathematics 22 (2016), 653–666
13. Systoles and kissing numbers of finite area hyperbolic surfaces (with Hugo Parlier)
    [arXiv version]
    Algebraic & Geometric Topology 15 (2015), no. 6, 3409–3433
14. The maximum injectivity radius of hyperbolic orbifolds
    [arXiv version]
    Geometriae Dedicata 175 (2015), 281–307