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 measured laminations on infinite-type surfaces.
(Pre)Publications
[3]. Markov’s Conjecture on integral necklaces,
submitted, e-print: arXiv:2501.15550.
[2]. Word-length curve counting on the once-punctured torus,
with Mingkun Liu, submitted, e-print: arXiv:2404.09372.
[1]. A Basmajian-type inequality for Riemannian surfaces,
with Florent Balacheff,
accepted for publication in J. Topol. Anal. (2025), e-print: arXiv:2311.03182.
Talks
- 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 UAB, 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.
