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 (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. I am starting as a Humboldt fellow at Universität Bonn in October 2024.


My research is primarily in geometric group theory, often with a topological flavour. More specifically, I am interested in profinite rigidity of groups, Kähler groups, lattices in locally compact groups, quasi-isometries of pairs, (bi)automatic groups, and group cohomology. The latter in relation to finiteness properties, \(\ell^2\)-invariants, torsion homology growth, fibring, and the isomorphism conjectures in \(K\)-theory.


I am one of the organisers, along with Vladimir Vankov and Kevin Li, of the conference ``Modern methods in infinite groups'' in celebration of Ian Leary's 60th birthday. The conference will run 12th - 14th June. A website and registration will follow shortly.


I was one of the organisers of `Profinite and residual methods around geometric group theory as part of `Nearly Carbon Neutral Geometric Topology 2023'. All the wonderful talks can be found on the webpage or this YouTube playlist.


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).


You can view some photos here.


Upcoming travel










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