43 citations · 184 across the 26 of their papers we have counts for
3 papers · 1 filter
Graphs of curves on infinite-type surfaces with mapping class group actions
Matthew Gentry Durham, Federica Fanoni, Nicholas G. Vlamis
We study when the mapping class group of an infinite-type surface admits an action with unbounded orbits on a connected graph whose vertices are simple closed curves on . We…
Coloring curves on surfaces
Jonah Gaster, Joshua Evan Greene, Nicholas G. Vlamis
We study the chromatic number of the curve graph of a surface. We show that the chromatic number grows like k log k for the graph of separating curves on a surface of Euler charact…
The Bridgeman-Kahn identity for hyperbolic manifolds with cusped boundary
Nicholas G. Vlamis, Andrew Yarmola
In this note, we extend the Bridgeman-Kahn identity to all finite-volume orientable hyperbolic -manifolds with totally geodesic boundary. In the compact case, Bridgeman and Kahn…