+44 1865 273587
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Stability and the Morse boundary
Journal of the London Mathematical Society (28 March 2017)
A continuum of expanders
Fundamenta Mathematicae issue 2 volume 238 page 143-152 (2017)
Direct embeddings of relatively hyperbolic groups with optimal ℓp compression exponent
Journal für die reine und angewandte Mathematik (Crelles Journal) issue 703 volume 2015 (1 January 2015)
Orthogonal forms of Kac–Moody groups are acylindrically hyperbolic
Annales de l’institut Fourier issue 6 volume 65 page 2613-2640 (2015)
Embedding universal covers of graph manifolds in products of trees
Proceedings of the American Mathematical Society issue 10 volume 141 page 3337-3340 (14 June 2013)
Geometric group theory
Gromov hyperbolic groups and their generalisations
Coarse geometry and embeddings
I am currently a Titchmarsh Research Fellow in the Topology group at the University of Oxford, a Junior Research Fellow at St Cross College and an Enterprise Fellow of the Mathematical, Physical and Life Sciences Division.
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 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.