3 papers
math.GT2026
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…
math.GT2025
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…
math.GT2024
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…