# Sam Hughes

### Postdoctoral research associate, University of Oxford

I am a postdoctoral research associate in the Mathematical Institute at the University of Oxford working as part of Professor Dawid Kielak's team. Before that I was a PhD student at the University of Southampton under the supervision of Professor Ian Leary. Even before that, I completed an MMath degree at the University of South Wales.

My research is primarily in geometric group theory, often with a topological flavour. More specifically, I am interested in lattices in locally compact groups, finiteness properties, applications of $$L^2$$-invariants, quasi-isometries of pairs, topological complexity and $$K$$-theory in relation to the isomorphism conjectures.

Whilst at Southampton I was one of the organisers of the interdisciplinary seminar series Maths and Mingle. You can read more about Maths and Mingle in our article in the May 2020 edition of the LMS newsletter. I also co-organised the conference Postgraduate Group Theory 2020 (PGTC 2020).

## Places you may find me at:

• Visit to Université Catholique de Louvain, Belgium, May 8 - 12.
• Arithmetic Groups and 3-Manifolds, Max Planck Institute for Mathematics, Bonn, May 16 - 20.
• Visit to Karlsruhe Institute of Technology, May 22 - 26.
• Visit to Memorial University in St. Johns, Newfoundland, June 1 - 12, 2022.
• 2022 CMS Summer Meeting, Memorial University in St. Johns, Newfoundland, June 3 - 6.
• Groups Acting on Fractals, Hyperbolicity and Self-similarity Thematic Trimester, Institut Henri Poincaré, Paris, June 20 - 24.
• Burger's Prime, ETH Zürich, June 26 - July 1.