Kevin Whyte

Finiteness of arithmetic hyperbolic reflection groups

We prove that there are only finitely many conjugacy classes of arithmetic maximal hyperbolic reflection groups.

A note on spaces of asymptotic dimension one

Let

Continuous Quotients for Lattice Actions on Compact Spaces

X

Growth of Betti numbers

be a geodesic metric space with

Maximally Symmetric Trees

H_1(X)

When is a group action determined by its orbit structure

uniformly generated. If

Quasi-isometric embeddings of symmetric spaces

X

Quasi-actions on trees I. Bounded valence

has asymptotic dimension one then

Quasi-isometries and Rigidity of Solvable Groups

X

Coarse differentiation of quasi-isometries I: Spaces not quasi-isometric to Cayley graphs

is quasi-isometric to an unbounded tree. As a corollary, we show that the asymptotic dimension of the curve graph of a compact, oriented surface with genus