I am currently the McDuff Postdoctoral Fellow at the Mathematical Sciences Research Institute. From January 2017 I will be a Titchmarsh Research Fellow in the Topology group at the University of Oxford. Previously I spent two years at UCLouvain, and a year at Université Paris-Sud, Orsay. I completed my PhD at the University of Oxford under the supervision of Cornelia Drutu, and wrote a Master's thesis at the University of Birmingham under the supervision of Ralf Köhl.
Geometric group theory
Gromov hyperbolic groups and their generalisations
Coarse geometry and embeddings
A continuum of expanders, to appear in Fundamenta Mathematicae. Preprint.
Orthogonal Forms of Kac-Moody groups are acylindrically hyerpbolic, joint with Pierre-Emmanuel Caprace. Ann. Inst. Fourier 65 Nr. 6 (2015), pp. 2613-2640. Preprint.
Direct Embeddings of Relatively Hyperbolic Groups with Optimal \ell^p Compression Exponent. Journal für die reine und angewandte Mathematik (Crelles Journal). Volume 2015, Issue 703, pp. 147-172. Preprint.
Embedding Universal Covers of Graph Manifolds in Products of Trees, joint with Alessandro Sisto Proceedings of the AMS 141 (2013), pp. 3337-3340. Preprint.
Relatively hyperbolic groups with fixed peripherals, joint with Matthew Cordes. Preprint.
Stability and the Morse boundary, joint with Matthew Cordes. Preprint.
Contracting geodesics in infinitely presented graphical small cancellation groups, joint with Goulnara Arzhantseva, Christopher H. Cashen, and Dominik Gruber. Preprint
Characterizations of Morse quasi-geodesics via superlinear divergence and sublinear contraction, joint with Goulnara Arzhantseva, Christopher H. Cashen, and Dominik Gruber. Preprint.
Embedding mapping class groups into finite products of trees. Preprint.
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.
Selected conference talks given
Generalizations of Symmetric Spaces, Nahsholim, Israel, June 2015
Arbeitsgemeinschaft: Totally Disconnected Groups, MRI Oberwolfach, October 2014
Geometry on Groups and Spaces (ICM Satellite), KAIST, Daejeon, South Korea, August 2014
American Mathematical Society Western Sectional Meeting, University of Hawaii at Manoa, February 2012
E-mail: otherdavidhume [at] gmail [dot] com