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)
Splittings and the Asymptotic Topology of the lamplighter group
Transactions of the American Mathematical Society
Boundaries and JSJ decompositions of CAT(0)-groups
GEOMETRIC AND FUNCTIONAL ANALYSIS
issue 2
volume 19
page 558-590
(September 2009)
Full text available
Cheeger constants of surfaces and isoperimetric inequalities
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
issue 10
volume 361
page 5139-5162
(October 2009)
Full text available
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
(1 January 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