Status:
+44 1865 273533
ORCID iD:
https://orcid.org/0000-0001-7634-7885
Research groups:
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Highlighted Publications:
Growth and isoperimetric profile of planar graphs
Proceedings of the American Mathematical Society
issue 11
volume 139
page 4105-4111
(1 November 2011)
The cactus tree of a metric space
Algebraic and Geometric Topology
issue 5
volume 11
page 2547-2578
(2011)
Uryson width and volume
Geometric and Functional Analysis GAFA
Finite cuts and CAT(0) boundaries
Full text available
Splittings and the Asymptotic Topology of the lamplighter group
Transactions of the American Mathematical Society
Recent Publications:
A surface with discontinuous isoperimetric profile and expander manifolds
Geometriae Dedicata
(3 August 2019)
Short loops in surfaces with a circular boundary component
Journal of Topology and Analysis
(24 September 2018)
Cop and Robber Game and Hyperbolicity.
SIAM J. Discrete Math.
volume 28
page 1987-2007
(2014)
A cactus theorem for end cuts
International Journal of Algebra and Computation
issue 1
volume 24
page 95-112
(1 January 2014)
Quasi-isometry invariance of group splittings
Annals of Mathematics
issue 2
volume 161
page 759-830
(1 March 2005)
Research interests:
Geometric group theory