Research interests: I usually work on problems involving geometric structures on surfaces and 3-manifolds.
I have a special interest for hyperbolic geometry, so my motivation often comes from the connections with one of the following topics:
Hyperbolic surfaces and hyperbolic 3-manifolds
Kleinian groups
(Higher) Teichmüller theory
Preprints
Geometric components of representation spaces via robust families of submanifolds arXiv PDF
Effective length-projection bounds for hyperbolic 3-manifolds diffeomorphic to SxR arXiv PDF
Effective hyperbolization and length bounds for Heegaard splittings arXiv PDF
with Peter Feller and Alessandro Sisto
Geometry of hyperconvex representations of surface groups arXiv PDF
with James Farre and Beatrice Pozzetti
Hyperbolic Heegaard splittings and Dehn twists arXiv PDF
with Peter Feller and Alessandro Sisto
Publications
Topological and geometric restrictions on hyperconvex representations Journal PDF
with James Farre and Beatrice Pozzetti
Crelle's Journal 827 (2025), 227-251
Entropy, volume, and diameter in SO(p,q+1)-higher Teichmüller spaces Journal PDF
with Filippo Mazzoli
Published online in Commentarii Mathematici Helvetici
Divisible convex sets with properly embedded cones Journal PDF
with Pierre-Louis Blayac
Publications Mathématiques de l'IHÉS 141 (2025), 99-189
Uniform models and short curves for random 3-manifolds Journal PDF
with Peter Feller and Alessandro Sisto
Compositio Mathematica 161 (2025), 447-502
SO(2,n+1)-maximal representations and hyperbolic surfaces Journal PDF
with Filippo Mazzoli
Memoirs of the AMS 313 (2025), volume 313 number 1587
Length functions in Teichmüller and anti de Sitter geometry Journal PDF
with Filippo Mazzoli
Forum of Mathematics, Sigma 11 (2023), e101 1-37
Small eigenvalues of random 3-manifolds Journal PDF
with Ursula Hamenstädt
Transactions of the AMS 375 (2022), 3795-3840
Volumes of random 3-manifolds Journal PDF
Journal of Topology 14 (2021), 504-537