Various problems of geometry, topology and dynamical systems on surfaces as well as
some questions concerning one-dimensional dynamical systems lead to the study of closed …

For almost all Riemannian metrics (in the C^ ∞ C∞ Baire sense) on a closed manifold M^
n+ 1 M n+ 1, 3 ≤ (n+ 1) ≤ 7 3≤(n+ 1)≤ 7, we prove that there is a sequence of closed …

Dynamics of <tex-math>$\text{SL}_{2}({\Bbb R})$</tex-math> over Moduli Space in Genus Two
Page 1 Annals of Mathematics, 165 (2007), 397-456 Dynamics of SL2(IR) over moduli space …

Publisher Summary This chapter presents an exposition of homogeneous dynamics—that is,
the dynamical and ergodic properties of actions on the homogeneous spaces of Lie groups …

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

This paper initiates the study of rigidity for immersed, totally geodesic planes in hyperbolic 3-
manifolds M of infinite volume. In the case of an acylindrical 3-manifold whose convex core …

On any closed hyperbolizable 3-manifold, we find a sharp relation between the minimal
surface entropy (introduced by Calegari-Marques-Neves) and the average area ratio …

We prove that every finite-volume hyperbolic 3–manifold M contains a ubiquitous collection
of closed, immersed, quasi-Fuchsian surfaces. These surfaces are ubiquitous in the sense …

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 …

Let gt be a smooth 1-parameter family of negatively curved metrics on a closed hyperbolic 3-
manifold M starting at the hyperbolic metric. We construct foliations of the Grassmann bundle …