samhughesmaths.github.io - Sam Hughes

Example domain paragraphs

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 (2018-2021), I was a PhD student at the University of Southampton under the supervision of Professor Ian Leary . Even before that (2014-2018), 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, profinite rigidity, quasi-isometries of pairs, and group cohomology. The latter in relation to finiteness properties, \(\ell^2\)-invariants, homology growth, fibring, and the isomorphism conjectures in \(K\)-theory.

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) .

Links to samhughesmaths.github.io (1)