3 papers
math.GT2026
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…
math.GT2025
Bicombing the mapping class group and Teichmüller space via stable cubical intervals
Matthew Gentry Durham
In this mostly expository article, we provide a new account of our proof with Minsky and Sisto that mapping class groups and Teichmüller spaces admit bicombings. More generally, we…
math.GT2025
Atypical generic directions in Teichmüller space
Matthew Gentry Durham, Chenxi Wu, Kejia Zhu
Motivated by geometrically capturing generic directions in Teichmüller space -- that is, tracking rays for random walks of the mapping class group -- we use work of Chaika--Masur--…