A translation surface is a multifaceted object that can be studied with the tools of dynamics,
analysis, or algebraic geometry. Moduli spaces of translation surfaces exhibit equally rich …

We propose a unifying setting for dealing with monodromically atypical intersections that
goes beyond the usual Zilber-Pink conjecture. In particular we obtain a new proof of …

Counting minimal surfaces in negatively curved 3-manifolds Page 1 COUNTING MINIMAL
SURFACES IN NEGATIVELY CURVED 3-MANIFOLDS DANNY CALEGARI, FERNANDO C …

We study the distribution of geometrically and topologically nearly geodesic random
surfaces in a closed hyperbolic 3-manifold M. In particular, we describe PSL (2, R) invariant …

This paper shows that immersed totally geodesic m–dimensional suborbifolds of n–
dimensional arithmetic hyperbolic orbifolds correspond to finite subgroups of the …

For n≥ 2, we prove that a finite volume complex hyperbolic n-manifold containing infinitely
many maximal properly immersed totally geodesic submanifolds of real dimension at least …

Abstract Let Γ⊂PU(1,n) be a lattice and S_Γ be the associated ball quotient. We prove that,
if S_Γ contains infinitely many maximal complex totally geodesic subvarieties, then Γ is …

Let M be a geometrically finite acylindrical hyperbolic-manifold and let denote the interior of
the convex core of M. We show that any geodesic plane in is either closed or dense, and that …

We show that an isometric action of a torsion-free uniform lattice $\Gamma $ on hyperbolic
space $\mathbb {H}^ n $ can be metrically approximated by geometric actions of $\Gamma …

Arithmeticity of hyperbolic 3-manifolds containing infinitely many totally geodesic surfaces
Page 1 Ergod. Th. & Dynam. Sys., (2022), 42, 1188–1219 © The Author(s), 2021. Published …