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I am currently on a (non-random) cycle touring trip in the Arabian Peninsula. I will be applying to postdocs when I get back.
From April to October 2024, I was an LMS Early Career Fellow working with Radhika Gupta at the Tata Institute for Fundamental Research in Mumbai.
In April 2024, I completed my PhD at Heriot-Watt University under the supervision of Alessandro Sisto. Previously, I graduated with a Master's at the University of Paris and a 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.
You can find my CV here. My email address is: antoinegold10 (at) gmail.com
Research:
Research:
Publications:
Publications:
with Ruth Charney, Matt Cordes, Alessandro Sisto and Stefanie Zbinden: (Non-)existence of Cannon-Thurston maps for Morse boundaries. arXiv 2405.17572 (2024). Accepted in the Bulletin of the LMS.
with Stefanie Zbinden: Characterising quasi-isometries of the free group. arXiv 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. arXiv 2301.04211 (2023). Accepted in Algebraic & Geometric Topology.
with Alessandro Sisto: Markov chains and quasi-isometries in hyperbolic-like groups. arXiv 2111.09837 (2021). Accepted in Crelle.
Preprints:
with Jerónimo García-Mejía: Random Dehn function of groups. arXiv 2411.12715 (2024).
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).
with Alessandro Sisto: Random divergence of groups. arXiv 2303.09943 (2023).
Talks:
Talks:
Des marches aléatoires à un nouvel invariant de quasi-isométrie. Séminaire virtuel francophone Groupes et Géométrie. November 2024.
From random walks to a new quasi-isometry invariant. Tata Institute of Fundamental Research. August 2024.
Mini-course on "Random walks and Markov chains on hyperbolic-like groups". Tata Institute of Fundamental Research. July 2024.
Markov chains and quasi-isometries in hyperbolic like groups. BRIJGES. University of Bristol. April 2023
Random walks and quasi-isometries. PGTC. King's college London. July 2022
Random walks and quasi-isometries. GEARS seminar. March 2022
Random walks and quasi-isometries. Junior London Algebra Colloquium. October 2021
Markov chains and quasi-isometries. Heriot-Watt University. June 2021 and March 2023
The density model for random groups. Heriot-Watt University. September 2020
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