POSTDOC - Max-Planck-Institut für Mathematik
I am currently a postdoc at the Max-Planck-Institut für Mathematik in Bonn, Germany.
Previous to this I was an Alain Bensoussan ERCIM postdoc at the Norwegian University of Science and Technology, and I did 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.
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.
Glasgow Topology Seminar: 1 February 2021
TAPIRS - Talks About Progress In Representation Stability: 26 February 2021
Aberdeen Topology Seminar: 17 March 2021
St Andrews University Mathematics Society Guest Lecture : 14 April 2021
IMUNAM Algebraic Topology Seminar: 29 April 2021
MPIM Topology seminar, talk one in the miniseries RAAG-Out: a savoury geometric group theory sampler : 10 May 2021
Spring 2019: General Topology.
address: Max Planck Institut für Mathematik, Bonn, Germany