D. McReynolds

activity

20042026

most citedAsymptotic growth and least common multiples in groups

27 citations · 145 across the 30 of their papers we have counts for

collaborators

Showing 2015 · math.GTShow all

3 papers · 2 filters

math.GT2015

Determining hyperbolic 3-manifolds by their surfaces

D. B. McReynolds, A. W. Reid

In this article, we prove that the commensurability class of a closed, orientable, hyperbolic 3-manifold is determined by the surface subgroups of its fundamental group. Moreover,…

math.GT2015

A vanishing theorem for the homology of discrete subgroups of $Sp (n, 1)$ and $F_{4}^{- 20}$

Chris Connell, Benson Farb, D. B. McReynolds

For any discrete, torsion-free subgroup $Γ$ of $Sp (n, 1)$ (resp.\ $F_{4}^{- 20}$ ) with no parabolic elements, we prove that $H_{4 n - 1} (Γ; V) = 0$ (resp.\ $H_{i} (Γ; V) = 0$ for…

math.GT2015

Systoles of Arithmetic Hyperbolic Surfaces and 3-manifolds

Benjamin Linowitz, D. B. McReynolds, Paul Pollack +1

Our main result is that for all sufficiently large $x_{0} > 0$ , the set of commensurability classes of arithmetic hyperbolic 2- or 3-orbifolds with fixed invariant trace field $k$ and…

Determining hyperbolic 3-manifolds by their surfaces

A vanishing theorem for the homology of discrete subgroups of Sp(n,1) and F4−20​

Systoles of Arithmetic Hyperbolic Surfaces and 3-manifolds

A vanishing theorem for the homology of discrete subgroups of $Sp (n, 1)$ and $F_{4}^{- 20}$