David Hume
Senior Research Associate, University of Bristol


Poincaré profiles of Lie groups and a coarse geometric dichotomy (with John Mackay and Romain Tessera) To appear in Geometric and Functional Analysis, accepted 1st August, 2022.  Journal PDF

Poorly connected groups (with John Mackay) Proc. Amer. Math. Soc. 148 (2020), 4653-4664.  Journal PDF  

Actions of small cancellation groups on hyperbolic spaces (with Carolyn Abbott) Geom Dedicata 212, 325–363 (2021).   Journal Webpage  arXiv PDF

The geometry of generalized loxodromic elements (with Carolyn Abbott) Annales de l'Institut Fourier, Volume 70 (2020) no. 4, pp. 1689-1713.  Journal PDF  

Poincaré profiles of groups and spaces (with John Mackay and Romain Tessera) Rev. Mat. Iberoam. 36 (2020), no. 6, pp. 1835–1886.  Journal Webpage   arXiv PDF

Extending group actions on metric spaces (with Carolyn Abbott and Denis Osin) Journal of Topology and Analysis Vol. 12, No. 3 (2020) 625–665.Journal PDF

Relatively hyperbolic groups with fixed peripherals (with Matthew Cordes) Israel Journal of Mathematics 230(1): 443-470, 2019.  Journal Website  arXiv PDF

Negative curvature in graphical small cancellation groups (with Goulnara N. Arzhantseva, Christopher H. Cashen and Dominik Gruber) Groups, Geometry and Dynamics 13: 579-632, 2018.  Journal Website   arXiv PDF

Groups with no coarse embeddings into hyperbolic spaces (with Alessandro Sisto) New York Journal of Mathematics 23: 1657-1670, 2017. 

Characterization of Morse quasi-geodesics via superlinear divergence and sublinear contraction (with Goulnara N. Arzhantseva, Christopher H. Cashen and Dominik Gruber) Documenta Mathematica 22: 193-1224, 2017. 

Stability and the Morse boundary (with Matthew Cordes) Journal of the London Mathematical Society 95(2), no. 3, 963–988, 2017. 

Embedding Mapping Class Groups into Finite Products of Trees. Groups, Geometry and Dynamics 11(2):613-647, 2017. 

A continuum of expanders. Fundamenta Mathematicae 237: 143-152, 2017. 

Orthogonal Forms of Kac-Moody groups are acylindrically hyperbolic (with Pierre-Emmanuel Caprace). Annales de l'Institut Fourier 65(6):2613-2640, 2015. 

Direct Embeddings of Relatively Hyperbolic Groups with Optimal l p Compression Exponent. Journal für die Reine und Angewandte Mathematik 703: 147-172, 2015. 

Embedding Universal Covers of Graph Manifolds in Products of Trees (with Alessandro Sisto). Proceedings of the American Mathematical Society 141: 3337-3340, 2013. 

Thick embeddings of graphs into symmetric spaces via coarse geometry (with Benjamin Barrett), 2021. arXiv version 
Asymptotic dimension for covers with controlled growth (with John Mackay and Romain Tessera). In preperation