Dr David Stephen Hume | Mathematical Institute

Dr David Stephen Hume

DPhil, MSci (Hons)

Research Fellow

Contact Form

Personal Website:

https://people.maths.ox.ac.uk/hume

+44 1865 273587

Address

Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Recent Publications:

Groups with no coarse embeddings into hyperbolic groups

Groups with no coarse embeddings into hyperbolic groups
Hume, DS; Sisto, A;
The New York Journal of Mathematics (14 November 2017)

Characterizations of Morse quasi-geodesics via superlinear divergence and sublinear contraction

Characterizations of Morse quasi-geodesics via superlinear divergence and sublinear contraction
Hume, DS; Arzhantseva, GN; Cashen, CH; Gruber, D;
Documenta Mathematica (31 August 2017)

Embedding mapping class groups into a finite product of trees

Embedding mapping class groups into a finite product of trees
Hume, DS;
Groups, Geometry, and Dynamics (26 June 2017)

Stability and the Morse boundary

Stability and the Morse boundary
Cordes, M; Hume, D;
Journal of the London Mathematical Society (28 March 2017)

A continuum of expanders

A continuum of expanders
Hume, D;
Fundamenta Mathematicae issue 2 volume 238 page 143-152 (2017)

Research Interests:

Geometric group theory
Gromov hyperbolic groups and their generalisations
Coarse geometry and embeddings

Further Details:

I am currently a Titchmarsh Research Fellow in the Topology group at the University of Oxford and a Junior Research Fellow at St Cross College. Previously, I spent two years at UCLouvain working with Pierre-Emmanuel Caprace, a year at Université Paris-Sud, Orsay working with Romain Tessera, and was the (first) McDuff Postdoctoral Fellow at the Mathematical Sciences Research Institute for the Fall 2016 semester.

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.

Teaching:

I am currently teaching undergraduate classes at St. Anne's College.

Major / Recent Publications:

Extending group actions on metric spaces, joint with Carolyn Abbott and Denis Osin. To appear in the Journal of Topology and Analysis. Preprint.
Relatively hyperbolic groups with fixed peripherals, joint with Matthew Cordes. To appear in the Israel Journal of Mathematics. Preprint.
Contracting geodesics in infinitely presented graphical small cancellation groups, joint with Goulnara Arzhantseva, Christopher H. Cashen, and Dominik Gruber. To appear in Groups, Geometry and Dynamics. Preprint
Groups with no coarse embeddings into hyperbolic groups, joint with Alessandro Sisto. New York J. Math. 23, (2017), pp. 1657-1670. Preprint.
Characterizations of Morse quasi-geodesics via superlinear divergence and sublinear contraction, joint with Goulnara Arzhantseva, Christopher H. Cashen, and Dominik Gruber, Documenta Math. 22, (2017), pp. 1193-1224. Preprint.
Stability and the Morse boundary, joint with Matthew Cordes, J. London Math. Soc. (2) 95, (2017), pp. 963-988. Preprint.
Embedding mapping class groups into finite products of trees, Groups Geom. Dyn. 11(2), (2017), pp. 613-647. Preprint.
A continuum of expanders, Fund. Math. 238, (2017), pp. 143-152. 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). 703, (2015), 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.

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