14 citations · 29 across the 8 of their papers we have counts for
10 papers
Universal systole bounds for arithmetic locally symmetric spaces
Sara Lapan, Benjamin Linowitz, Jeffrey S. Meyer
The systole of a closed Riemannian manifold is the minimal length of a non-contractible closed loop. We give a uniform lower bound for the systole for large classes of simple arith…
Arithmeticity and Hidden Symmetries of Fully Augmented Pretzel Link Complements
Jeffrey S. Meyer, Christian Millichap, Rolland Trapp
This paper examines number theoretic and topological properties of fully augmented pretzel link complements. In particular, we determine exactly when these link complements are ari…
Systole inequalities for arithmetic locally symmetric spaces
Sara Lapan, Benjamin Linowitz, Jeffrey S. Meyer
In this paper we study the systole growth of arithmetic locally symmetric spaces up congruence covers and show that this growth is at least logarithmic in volume. This generalizes…
Constructing Geometrically Equivalent Hyperbolic Orbifolds
D. B. McReynolds, Jeffrey S. Meyer, Matthew Stover
In this paper, we construct families of nonisometric hyperbolic orbifolds that contain the same isometry classes of nonflat totally geodesic subspaces. The main tool is a variant o…
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…