Status:
Personal website:
+44 1865 273587
ORCID iD:
https://orcid.org/0000-0003-2195-6071
Research groups:
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Recent Publications:
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)
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, 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 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.