2 citations · 8 across the 12 of their papers we have counts for
16 papers
Endomorphisms of Total Kneser Graphs
Esmaeil Alhaj Mostafa Abdan, Jacob Russell, Sophia Ulvestad
Inspired by work of Gaster, Greene, and Vlamis on the chromatic number of curve graphs, we prove that every endomorphism of the total Kneser graph is an automorphism. We also show…
Hierarchically Hyperbolic Surface-by-surface Groups
Spencer Dowdall, Matthew Gentry Durham, Chris Leininger +2
We give many examples of surface bundles over surfaces whose fundamental groups are hierarchically hyperbolic by showing that extensions of surface groups constructed by the third…
Hierarchical hyperbolicity of admissible curve graphs and the boundary of marked strata
Aaron Calderon, Jacob Russell
We show that for any surface of genus at least 3 equipped with any choice of framing, the graph of non-separating curves with winding number 0 with respect to the framing is hierar…
Relative hyperbolicity, thickness, and the hierarchically hyperbolic boundary
Carolyn Abbott, Jason Behrstock, Jacob Russell
We study the boundaries of relatively hyperbolic HHGs. Using the simplicial structure on the hierarchically hyperbolic boundary, we characterize both relative hyperbolicity and bei…
Structure invariant properties of the hierarchically hyperbolic boundary
Carolyn Abbott, Jason Behrstock, Jacob Russell
We prove several topological and dynamical properties of the boundary of a hierarchically hyperbolic group are independent of the specific hierarchically hyperbolic structure. This…
Equivariant hierarchically hyperbolic structures for 3-manifold groups via quasimorphisms
Mark Hagen, Jacob Russell, Alessandro Sisto +1
Behrstock, Hagen, and Sisto classified 3-manifold groups admitting a hierarchically hyperbolic space structure. However, these structures were not always equivariant with respect t…
Pseudo-Anosov subgroups of general fibered 3-manifold groups
Christopher J. Leininger, Jacob Russell
We show that finitely generated and purely pseudo-Anosov subgroups of fibered 3-manifolds with reducible monodromy are convex cocompact as subgroups of the mapping class group via…
Extensions of multicurve stabilizers are hierarchically hyperbolic
Jacob Russell
For a closed and orientable surface of genus at least 2, we prove the surface group extensions of the stabilizers of multicurves are hierarchically hyperbolic groups. This answers…
Thickness and relative hyperbolicity for graphs of multicurves
Jacob Russell, Kate M. Vokes
We prove that any graph of multicurves satisfying certain natural properties is either hyperbolic, relatively hyperbolic, or thick. Further, this geometric characterization is dete…
Regularity of Morse geodesics and growth of stable subgroups
Matthew Cordes, Jacob Russell, Davide Spriano +1
We prove that Morse local-to-global groups grow exponentially faster than their infinite index stable subgroups. This generalizes a result of Dahmani, Futer, and Wise in the contex…
Hierarchical hyperbolicity of graph products
Daniel Berlyne, Jacob Russell
We show that any graph product of finitely generated groups is hierarchically hyperbolic relative to its vertex groups. We apply this result to answer two questions of Behrstock, H…
The (non)-relative hyperbolicity of the separating curve graph
Jacob Russell, Kate M. Vokes
We prove that the separating curve graph of a connected, compact, orientable surface with genus at least 3 and a single boundary component is not relatively hyperbolic. This comple…
The local-to-global property for Morse quasi-geodesics
Jacob Russell, Davide Spriano, Hung Cong Tran
We show the mapping class group, CAT(0) groups, the fundamental groups of closed 3-manifolds, and certain relatively hyperbolic groups have a local-to-global property for Morse qua…
From Hierarchical to Relative Hyperbolicity
Jacob Russell
We provide a simple, combinatorial criteria for a hierarchically hyperbolic space to be relatively hyperbolic by proving a new formulation of relative hyperbolicity in terms of hie…
Convexity in hierarchically hyperbolic spaces
Jacob Russell, Davide Spriano, Hung Cong Tran
Hierarchically hyperbolic spaces (HHSs) are a large class of spaces that provide a unified framework for studying the mapping class group, right-angled Artin and Coxeter groups, an…
Hierarchically hyperbolic groups are determined by their Morse boundaries
Sarah C. Mousley, Jacob Russell
We generalize a result of Paulin on the Gromov boundary of hyperbolic groups to the Morse boundary of proper, maximal hierarchically hyperbolic spaces admitting cocompact group act…