70 citations · 480 across the 69 of their papers we have counts for
24 papers · 1 filter
Coxeter groups and random groups
Danny Calegari
For every dimension d, there is an infinite family of convex co-compact reflection groups of isometries of hyperbolic d-space --- the superideal (simplicial and cubical) reflection…
3-manifolds everywhere
Danny Calegari, Henry Wilton
A random group contains many subgroups which are isomorphic to the fundamental group of a compact hyperbolic 3-manifold with totally geodesic boundary. These subgroups can be taken…
Groups of PL homeomorphisms of cubes
Danny Calegari, Dale Rolfsen
We study algebraic properties of groups of PL or smooth homeomorphisms of unit cubes in any dimension, fixed pointwise on the boundary, and more generally PL or smooth groups actin…
Counting subgraphs in hyperbolic graphs with symmetry
Danny Calegari, Koji Fujiwara
This note addresses some questions that arise in the series of works by Kyoji Saito on the growth functions of graphs. We study "hyperbolike" graphs, which include Cayley graphs of…
Random groups contain surface subgroups
Danny Calegari, Alden Walker
A random group contains many quasiconvex surface subgroups.
Random graphs of free groups contain surface subgroups
Danny Calegari, Henry Wilton
A random graph of free groups contains a surface subgroup