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Sam Hughes

PhD, MMath
Pronouns
He / Him
Status
Postdoctoral Research Associate
Contact form
https://samhughesmaths.github.io
+44 1865 615101
ORCID iD
https://orcid.org/0000-0002-9992-4443
Research groups
  • Topology
  • Algebra

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Recent publications
Coherence for elementary amenable groups
Hughes, S Kielak, D Kropholler, P Leary, I (07 Feb 2023) http://arxiv.org/abs/2302.03346v1
Hyperbolically embedded subgroups and quasi-isometries of pairs
Hughes, S Martínez-Pedroza, E Canadian Mathematical Bulletin 1-16 (10 Jan 2023)
Homological growth of Artin kernels in positive characteristic
Fisher, S Hughes, S Leary, I (06 Dec 2022) http://arxiv.org/abs/2212.03187v2
Torsion homology growth of polynomially growing free-by-cyclic groups
Andrew, N Hughes, S Kudlinska, M (08 Nov 2022) http://arxiv.org/abs/2211.04389v1
Profinite rigidity of fibring
Hughes, S Kielak, D (22 Jun 2022) http://arxiv.org/abs/2206.11347v1
A note on the rational homological dimension of lattices in positive characteristic
Hughes, S Glasgow Mathematical Journal volume 65 issue 1 138-140 (10 Jun 2022)
Regularity of quasigeodesics characterises hyperbolicity
Hughes, S Nairne, P Spriano, D (17 May 2022) http://arxiv.org/abs/2205.08573v1
Commensurating HNN-extensions: hierarchical hyperbolicity and
biautomaticity
Hughes, S Valiunas, M (22 Mar 2022) http://arxiv.org/abs/2203.11996v3
Hyperbolically embedded subgroups and quasi-isometries of pairs
Hughes, S Martínez-Pedroza, E (01 Feb 2022) http://arxiv.org/abs/2202.00536v3
Irreducible lattices fibring over the circle
Hughes, S (17 Jan 2022) http://arxiv.org/abs/2201.06525v1
A survey on quasi-isometries of pairs: invariants and rigidity
Hughes, S Martínez-Pedroza, E Saldaña, L (30 Dec 2021) http://arxiv.org/abs/2112.15046v1
On the equivariant K- and KO-homology of some special linear groups
Hughes, S Algebraic and Geometric Topology volume 21 issue 7 3483-3512 (28 Dec 2021)
The first -betti number and groups acting on trees
Chatterji, I Hughes, S Kropholler, P Proceedings of the Edinburgh Mathematical Society volume 64 issue 4 916-923 (25 Nov 2021)
Graphs and complexes of lattices
Hughes, S (28 Apr 2021) http://arxiv.org/abs/2104.13728v4
The character table of a sharply 5-transitive subgroup of the alternating group of degree 12
Gill, N Hughes, S International Journal of Group Theory volume 10 issue 1 11-30 (01 Mar 2021)
Lattices in a product of trees, hierarchically hyperbolic groups, and virtual torsion-freeness
Hughes, S Bulletin of the London Mathematical Society
Higher topological complexity of hyperbolic groups
Hughes, S Li, K Journal of Applied and Computational Topology
Cohomology of Fuchsian Groups and Non-Euclidean Crystallographic Groups
Hughes, S Manuscripta Mathematica http://arxiv.org/abs/1910.00519v2
Quasi-isometry invariance of relative filling functions
Hughes, S Martínez-Pedroza, E Sánchez Saldaña, L Groups, Geometry, and Dynamics
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