14 citations · 30 across the 21 of their papers we have counts for
30 papers
Constructing multi-cusped hyperbolic manifolds that are isospectral and not isometric
Benjamin Linowitz
In a recent paper Garoufalidis and Reid constructed pairs of 1-cusped hyperbolic 3-manifolds which are isospectral but not isometric. In this paper we extend this work to the multi…
The spectral geometry of hyperbolic and spherical manifolds: analogies and open problems
Emilio A. Lauret, Benjamin Linowitz
The spectral geometry of negatively curved manifolds has received more attention than its positive curvature counterpart. In this paper we will survey a variety of spectral geometr…
Systoles of Arithmetic Hyperbolic 2- and 3-Manifolds
Laurel Heck, Benjamin Linowitz
In this paper we study the systoles of arithmetic hyperbolic 2- and 3-manifolds. Our first result is the construction of infinitely many arithmetic hyperbolic 2- and 3-manifolds wh…
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…
Brauer equivalent number fields and the geometry of quaternionic Shimura varieties
Benjamin Linowitz
Two number fields are said to be Brauer equivalent if there is an isomorphism between their Brauer groups that commutes with restriction. In this paper we prove a variety of number…
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…