14 citations · 30 across the 21 of their papers we have counts for
7 papers · 1 filter
Parametrizing Shimura subvarieties of Shimura varieties and related geometric problems
Benjamin Linowitz, Matthew Stover
This paper gives a complete parametrization of the commensurability classes of totally geodesic subspaces of irreducible arithmetic quotients of $X_{a, b} = (\mathbf{H}^2)^a \times…
Systolic Surfaces of Arithmetic Hyperbolic 3-Manifolds
Benjamin Linowitz, Jeffrey S. Meyer
In this paper we examine the geometry of minimal surfaces of arithmetic hyperbolic 3-manifolds. In particular, we give bounds on the totally geodesic 2-systole, construct infinitel…
The length spectra of arithmetic hyperbolic 3-manifolds and their totally geodesic surfaces
Benjamin Linowitz, Jeffrey S. Meyer, Paul Pollack
In this paper we examine the relationship between the length spectrum and the geometric genus spectrum of an arithmetic hyperbolic 3-orbifold M. In particular we analyze the extent…
Locally Equivalent Correspondences
Benjamin Linowitz, D. B. McReynolds, Nicholas Miller
Given a pair of number fields with isomorphic rings of adeles, we construct bijections between objects associated to the pair. For instance we construct an isomorphism of Brauer gr…
On the isospectral orbifold-manifold problem for nonpositively curved locally symmetric spaces
Benjamin Linowitz, Jeffrey S. Meyer
An old problem asks whether a Riemannian manifold can be isospectral to a Riemannian orbifold with nontrivial singular set. In this short note we show that under the assumption of…
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 , the set of commensurability classes of arithmetic hyperbolic 2- or 3-orbifolds with fixed invariant trace field and…