1 citations · 1 across the 7 of their papers we have counts for
7 papers
Cusp cross-sections of low-dimensional arithmetic hyperbolic manifolds
Marcus Grimbert, Duncan McCoy, Connor Sell
We study which compact flat manifolds of dimensions occur as cusp cross-sections in commensurability classes of non-compact arithmetic hyperbolic -manifold…
Cusp cross-section phenomena for arithmetic hyperbolic manifolds
Duncan McCoy, Connor Sell
Although every flat manifold occurs as a cusp cross-section in at least one commensurability class of arithmetic hyperbolic manifolds, it turns out that some flat manifolds have th…
Nil 3-manifolds and cusps of complex hyperbolic surfaces
Julien Paupert, Connor Sell
McReynolds showed that every compact Nil 3-manifold occurs as the cusp cross-section of some arithmetic complex hyperbolic 2-manifold. We classify which commensurability classes of…
Cusp types of arithmetic hyperbolic manifolds
Duncan McCoy, Connor Sell
We establish necessary and sufficient conditions for determining when a flat manifold can occur as a cusp cross-section within a given commensurability class of cusped arithmetic h…
Hyperbolic manifolds without structures and non-vanishing higher order Stiefel-Whitney classes
Alan W. Reid, Connor Sell
We show that in every commensurability class of cusped arithmetic hyperbolic manifolds of simplest type of dimension there are manifolds such that the Stiefel-Whit…
Cusps and Commensurability Classes of Hyperbolic 4-Manifolds
Connor Sell
There are six orientable, compact, flat 3-manifolds that can occur as cusp cross-sections of hyperbolic 4-manifolds. This paper provides criteria for exactly when a given commensur…
Non-Negative Matrix Factorization Test Cases
Connor Sell, Jeremy Kepner
Non-negative matrix factorization (NMF) is a prob- lem with many applications, ranging from facial recognition to document clustering. However, due to the variety of algorithms tha…