POSTDOC - University of Cambridge
I am currently an EPSRC Postdoctoral Fellow at the University of Cambridge, working in the Department of Pure Mathematics and Mathematical Statistics in the group of Oscar Randal-Williams . I am also a Bye Fellow at Murray Edwards College. From January 2023 I'll be a lecturer at the University of Glasgow.
Previous to this I was an postdoc at the Max-Planck-Institut für Mathematik in Bonn, and an Alain Bensoussan ERCIM postdoc at the Norwegian University of Science and Technology. I completed my PhD at the University of Aberdeen, under the supervision of Richard Hepworth.
I am interested in developing new methods to study algebraic objects through the lenses of geometry and topology. Some topics I'm interested in are Artin and Coxeter groups and monoids, classifying spaces of groups and group homology, topological invariants of diagram algebras and corresponding applications to low-dimensional topology, and low-dimensional embedding spaces. The majority of my work consists of building geometric models to study groups and algebras, such as semi-simplicial spaces, cube complexes and embedding spaces.
The minimal genus problem for right angled Artin groups, joint work with Thorben Kastenholz and Jean Pierre Mutanguha - arXiv:2006.04256
Combinatorics of injective words for Temperley-Lieb algebras , joint work with Richard Hepworth: Journal of Combinatorial Theory, Series A , 181:105446, 2021. (arXiv:2006.04261)
Homological stability for Artin monoids : Proceedings of the London Mathematical Society, 121(3):537–583, 2020. (arXiv:1808.07722)
The low dimensional homology of finite rank Coxeter groups : Algebraic & Geometric Topology, 20-5 (2020), 2609--2655. (arXiv:1811.00400) Erratum.
NBGGT meeting at Heriot-Watt: 10 June 2022
LSU Topology seminar: 13 April 2022
MIT Geometry and Topology seminar: 11 April 2022
Cambridge Geometric Group Theory seminar: 21 January 2022
Transpennine Topology Triangle 115: 17 December 2021
Cambridge Differential Geometry and Topology seminar: 17 November 2021
MPIM Topology seminar, talk one in the miniseries RAAG-Out: a savoury geometric group theory sampler : 10 May 2021
IMUNAM Algebraic Topology Seminar: 29 April 2021
St Andrews University Mathematics Society Guest Lecture : 14 April 2021
Aberdeen Topology Seminar: 17 March 2021
TAPIRS - Talks About Progress In Representation Stability: 26 February 2021
Glasgow Topology Seminar: 1 February 2021
Spring 2019: General Topology.
Staying in the game - an essay by Daniel Nettle.
"I Hate Paintings." - a blog post by Robert Spencer, featuring an excerpt from “The Pocket Guide to Artistry in the 20th Century” by Sir A. R. Tiste.
Math-life balance - a series of interviews by Mura Yakerson.
address: DPMMS, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB, UK