I am a Fellow and College Teaching Officer at Christ’s College Cambridge, and a member of the University of Cambridge’s Department of Pure Mathematics and Mathematical Statistics.

My area of research is asymptotic group theory. I am interested in a range of questions concerning constructions of expander graphs; diameters of Cayley graphs; word maps on groups and random walks. I am also increasingly interested in properties of infinite groups which allow one to approximate them by finite groups, including residual finiteness; local embeddability and soficity.

From 2016 to 2019 I was a postdoctoral research assistant at the University of Göttingen, where I worked in the research group of of Prof. Harald Andrés Helfgott. I completed my DPhil at the University of Oxford in 2015, under the supervision of Prof. Marc Lackenby.

Outside mathematics I am a music-lover; a jogger, and a collector of postcards.

### Publications and preprints

- Quantifying local embeddings into finite groups 2021
- Short Laws for Finite Groups of Lie Type with Andreas Thom, 2018
- Navigating Directed Cayley Graphs of Small Diameter: A Potent Solovay-Kitaev Procedure International Journal of Algebra and Computation, Volume 29, no. 7 (2019), pp. 1319-1342
- Uniform Diameter Bounds in Branch Groups 2017
- Short Laws for Finite Groups and Residual Finiteness Growth with Andreas Thom, Transactions of the AMS, Volume 371 (2019), pp. 6447-6462
- Expansion, Random Walks and Sieving in $SL_2(\mathbb{F}_p[t])$ Israel Journal of Mathematics, Volume 215 (2016), pp. 559-582
- New Uniform Diameter Bounds in Pro-$p$ Groups Groups, Geometry and Dynamics, Volume 12, Issue 3 (2018) pp. 803-836