5 papers
Foliations forcing closed orbits
Ellis Buckminster, Audrey Rosevear
We study foliations which force every transverse flow to have a closed orbit. We fully characterize this property among finite depth foliations on atoroidal 3-manifolds. We a…
Cannon--Thurston maps for Anosov foliations
Ellis Buckminster
Universal circles, introduced by Thurston and Calegari--Dunfield, are not well understood in general. Recently, the author together with Taylor showed that Anosov foliations with b…
Universal circles for Anosov foliations
Ellis Buckminster, Samuel J. Taylor
Thurston introduced the notion of a universal circle associated to a taut foliation of a -manifold as a way of organizing the ideal circle boundaries of its leaves into a single…
Periodic points of endperiodic maps
Ellis Buckminster
Let be an atoroidal, endperiodic map on an infinite type surface with no boundary and finitely many ends, each of which is accumulated by genus. By wor…
Domains of Convergence for Polyhedral Packings
Nooria Ahmed, William Ball, Ellis Buckminster +6
Polyhedral circle packings are generalizations of the Apollonian packing. We develop the theory of the Apollonian group, Descartes quadratic form, and related objects for all polyh…