3 papers
math.MG2022
The Vector Balancing Constant for Zonotopes
Laurel Heck, Victor Reis, Thomas Rothvoss
The vector balancing constant of two symmetric convex bodies is the minimum so that any number of vectors from can be balanced into an -s…
math.GT2022
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…
math.GT2019
From Convex Ideal Polyhedra to Fundamental Domains in H^3
Laurel Heck
Our goal is to better understand the relationship between the polyhedron and the group associated with a fundamental domain in H^3. In this paper, we will study torsion-free groups…