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

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

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]
   
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