Antoine Goldsborough
I am a final year PhD student working in the Algebra, Geometry and Topology group at Heriot-Watt University, under the supervision of Alessandro Sisto. Previously, I completed a Master's at the University of Paris and an MMath degree at the University of St Andrews.
I am a final year PhD student working in the Algebra, Geometry and Topology group at Heriot-Watt University, under the supervision of Alessandro Sisto. Previously, I completed a Master's at the University of Paris and an MMath degree at the University of St Andrews.
My main research interest is geometric group theory. I am especially interested in random walks on groups and how they interact with quasi-isometries, as well as generalisations of hyperbolic groups and spaces.
My main research interest is geometric group theory. I am especially interested in random walks on groups and how they interact with quasi-isometries, as well as generalisations of hyperbolic groups and spaces.
My email address: ag2017 (at) hw.ac.uk.
My email address: ag2017 (at) hw.ac.uk.
Research:
Research:
Publications:
Publications:
- with Stefanie Zbinden: Characterising quasi-isometries of the free group. 2307.13667 (2023). Accepted in Algebraic & Geometric Topology.
- with Stefanie Zbinden: Some properties of Markov chains on the free group. arXiv 2304.01271 (2023). Journal of Theoretical Probability.
- with Nicolas Vaskou: Random Artin groups. arXiv2301.04211 (2023). Accepted in Algebraic & Geometric Topology.
- with Alessandro Sisto: Markov chains and quasi-isometries in hyperbolic-like groups. arXiv2111.09837 (2021). Accepted in Journal für die reine und angewandte Mathematik (Crelle).
Preprints:
Preprints:
- with Mark Hagen, Harry Petyt and Alessandro Sisto: With an appendix by Jacob Russell. Induced quasi-isometries of hyperbolic spaces, Markov chains and acylindrical hyperbolicity. arXiv 2309.07013 (2023).
Talks:
Talks:
- The density model for random groups. Heriot-Watt University. September 2020
- Markov chains and quasi-isometries. Heriot-Watt University. June 2021 and March 2023
- Markov chains and quasi-isometries in hyperbolic like groups. BRIJGES. University of Bristol. April 2023