27 citations · 145 across the 30 of their papers we have counts for
7 papers · 1 filter
Bertrand's postulate and subgroup growth
K. Bou-Rabee, D. B. McReynolds
In this article we investigate the L^1-norm of certain functions on groups called divisibility functions. Using these functions, their connection to residual finiteness, and integr…
Arithmetic Veech sublattices of $\SL(2,\Z)$
Jordan S. Ellenberg, D. B. McReynolds
We prove that every algebraic curve X defined over the algebraic closure of the rationals is birational over the complex numbers to a Teichmuller curve.
Asymptotic growth and least common multiples in groups
K. Bou-Rabee, D. B. McReynolds
In this article we relate word and subgroup growth to certain functions that arise in the quantification of residual finiteness. One consequence of this endeavor is a pair of resul…
Controlling manifold covers of orbifolds
D. B. McReynolds
In this article we prove a generalization of Selberg's lemma on the existence of torsion free, finite index subgroups of arithmetic groups. Some of the geometric applications are t…
The genus spectrum of a hyperbolic 3-manifold
D. B. McReynolds, Alan W. Reid
In this article we study the spectrum of totally geodesic surfaces of a finite volume hyperbolic 3-manifold. We show that for arithmetic hyperbolic 3-manifolds that contain a total…
Graphs of subgroups of free groups
Larsen Louder, D. B. McReynolds
We construct an efficient model for graphs of finitely generated subgroups of free groups. Using this we give a very short proof of Dicks's reformulation of the strengthened Hanna…