2 citations · 4 across the 9 of their papers we have counts for
9 papers
Large flats in large subgraphs of fine curve graphs
Ryan Dickmann, Roberta Shapiro
The fine curve graph of a surface is a graph whose vertices are essential simple closed curves and whose edges connect disjoint curves. Following a rich history of hyperbolicity of…
Homotopy types of fine curve and fine arc complexes
Ryan Dickmann, Zachary Himes, Alexander Nolte +1
The fine curve complex of a surface is a simplicial complex whose vertices are essential simple closed curves and whose -simplices are collections of disjoint curves. We p…
Geodesic-preserving bijections of the Thurston geometries
Ryan Dickmann, Palani Lideros, Akash Narayanan
We completely classify the bijections of the Thurston geometries that preserve geodesics as sets. For Riemannian manifolds that satisfy a certain technical condition, we prove that…
Surfaces proper homotopy equivalent to graphs and their Dehn-Nielsen-Baer maps
Ryan Dickmann, Hannah Hoganson, Sanghoon Kwak
Motivated by the recent work of Algom-Kfir and Bestinva introducing the mapping class group of an infinite graph via proper homotopy equivalences, we give a necessary and sufficien…
Automatic continuity of pure mapping class groups
Ryan Dickmann
We completely classify the orientable infinite-type surfaces such that , the pure mapping class group, has automatic continuity. This classification inc…
Thurston's Theorem: Entropy in Dimension One
Ryan Dickmann, George Domat, Thomas Hill +4
In his paper, Thurston shows that a positive real number is the topological entropy for an ergodic traintrack representative of an outer automorphism of a free group if and onl…
Mapping class groups of surfaces with noncompact boundary components
Ryan Dickmann
We show that the pure mapping class group is uniformly perfect for a certain class of infinite type surfaces with noncompact boundary components. We then combine this result with r…
Free products from spinning and rotating families
Mladen Bestvina, Ryan Dickmann, George Domat +3
The far-reaching work of Dahmani-Guirardel-Osin and recent work of Clay-Mangahas-Margalit provide geometric approaches to the study of the normal closure of a subgroup (or a collec…
Big pure mapping class groups are never perfect
George Domat, Ryan Dickmann
We show that the closure of the compactly supported mapping class group of an infinite type surface is not perfect and that its abelianization contains a direct summand isomorphic…