Interests
My research is on surfaces, from all Riemannian, combinatorial, and hyperbolic points of view. More specifically, growth invariants as the volume entropy, curve counting problems, rigidity of their spectra, and how Teichmüller theory provides a bridge between all these perspectives.
(Pre)Publications
[4]. Isospectrality for infinite-type hyperbolic surfaces with discrete length spectrum,
with Federica Fanoni, submitted,
e-print: arXiv:2602.19670.
[3]. Single self-intersection words on the once-punctured torus and their counting,
with Mingkun Liu, submitted,
e-print: arXiv:2404.09372.
[2]. A Basmajian-type inequality for Riemannian surfaces,
with Florent Balacheff,
Journal of Topology and Analysis 18 (04): 1199-1212 (2026),
e-print: arXiv:2311.03182.
[1]. Markov’s Conjecture on integral necklaces,
Bulletin of the London Mathematical Society, 57 (12): 4122-4131 (2025),
e-print: arXiv:2501.15550.
Organisation
Curves, Hyperbolicity, And Teichmüller Spaces (CHATS),
organised with Yusen Long, a workshop on low-dimensional geometric topology, June 2026 at UPEC.
Invited Talks
- Géométrie hyperbolique et surfaces, in honor of Greg McShane at Université Grenoble Alpes, Sep 2026, Grenoble, France (Future).
- Curve counting: what’s next? at the Hamilton Mathematics Institute, May 2026, Dublin, Ireland.
- Séminaire Géométrie et Topologie at Institut de Mathématiques de Jussieu, May 2026, Paris, France.
- Geometry and Spectra of Riemann Surfaces (lightning) at EPFL, Apr 2026, Lausanne, Switzerland.
- Geometry and Topology seminar, Dec 2025, Luxembourg.
- Geometry seminar at MPI MiS, Jun 2025, Leipzig, Germany.
- Mittagsseminar CADMO at ETHZ, May 2025, Zurich, Switzerland.
- Perspectives on Markov Numbers (lightning), Jan 2025, BIRS, Banff, Canada.
- Colloque de Géométrie, Nov 2024, Université Paris-Est Créteil, France.
- 2nd International AMS-UMI Joint Meeting, Jul 2024, Palermo, Sicily.
- Surfaces, Manifolds and Related Topics (SMaRT), Mar 2024, Luxembourg.
- Geometry Seminar at Universitat Autònoma de Barcelona, Jan 2024, Barcelona.
- Geometry, Probability and their Synergies, Mar 2023, Les Diablerets, Switzerland.
- VI Congreso de Jóvenes Investigadores de la RSME, Feb 2023, León, Spain.
