David Hume

David Hume

TDLC Groups

Published Papers

Poorly Connected Groups, joint with John Mackay. To appear in Proceedings of the AMS. PDF.
Actions of small cancellation groups on hyperbolic spaces, joint with Carolyn Abbott. To appear in Geomitrae Dedicata. PDF.
The geometry of generalised loxodromic elements, joint with Carolyn Abbott. To appear in Annales de l'Institut Fourier, accepted July 11, 2019. PDF.
Poincaré profiles of groups and spaces, joint with John Mackay and Romain Tessera. To appear in Revista Matematica Iberoamericana, accepted June 13, 2019. PDF.
Extending group actions on metric spaces, joint with Carolyn Abbott and Denis Osin. To appear in the Journal of Topology and Analysis, accepted July 27, 2018. PDF.
Relatively hyperbolic groups with fixed peripherals, joint with Matthew Cordes. Israel Journal of Mathematics 230(1):443-470, 2019. PDF.
Negative curvature in graphical small cancellation groups, joint with Goulnara Arzhantseva, Christopher H. Cashen, and Dominik Gruber. Groups, Geometry and Dynamics 13:579-632, 2018. PDF
Groups with no coarse embeddings into hyperbolic groups, joint with Alessandro Sisto. New York Journal of Mathematics 23:1657-1670, 2017. PDF.
Characterizations of Morse quasi-geodesics via superlinear divergence and sublinear contraction, joint with Goulnara Arzhantseva, Christopher H. Cashen, and Dominik Gruber, Documenta Mathematica 22:193-1224, 2017. PDF.
photo Stability and the Morse boundary, joint with Matthew Cordes, Journal of the London Mathematical Society 95(2), no. 3, 963-988, 2017. PDF.
Embedding mapping class groups into finite products of trees, Groups, Geometry and Dynamics 11(2):613-647, 2017. PDF.
A continuum of expanders, Fundamenta Mathematicae 237: 143-152, 2017. PDF.
Orthogonal Forms of Kac-Moody groups are acylindrically hyerpbolic, joint with Pierre-Emmanuel Caprace. Annales de l'Institut Fourier 65(6):2613-2640, 2015. PDF.
Direct Embeddings of Relatively Hyperbolic Groups with Optimal \ell^p Compression Exponent. Journal für die Reine und Angewandte Mathematik 703: 147-172, 2015. PDF.
Embedding Universal Covers of Graph Manifolds in Products of Trees, joint with Alessandro Sisto Proceedings of the American Mathematical Society 141:3337-3340, 2013. PDF.

Book Chapters

The Centraliser Lattice, joint with Thierry Stulemeijer. In New Directions in Locally Compact Groups edited by Pierre-Emmanuel Caprace and Nicolas Monod. LMS Lecture Note Series 447, Cambridge University Press, 2018.

Selected Preprints

Dirichlet-Poincaré profiles of graphs and groups. PDF.

My theses

Embeddings of infinite groups into Banach spaces, DPhil thesis, University of Oxford, 2013.
Extensions of Borovoi's theorem, Master's thesis, University of Birmingham, 2009.