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Department of Pure Mathematics and Mathematical Statistics

Research Interests: Combinatorial and Geometric Group Theory, especially properties of fundamental groups of 3-manifolds and related groups

Publications

Proving finitely presented groups are large by computer
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– Experimental Mathematics
(2011)
20,
153
Strictly ascending HNN extensions in soluble groups
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– Ricerche di Matematica
(2011)
1
Virtual finite quotients of finitely generated groups
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– New Zealand Journal of Mathematics
(2011)
41,
1
Largeness of LERF and 1-relator groups
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– Groups, Geometry, and Dynamics
(2010)
4,
709
Large groups of deficiency 1
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– Israel Journal of Mathematics
(2008)
167,
111
A formula for the normal subgroup growth of Baumslag-Solitar groups
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– Journal of Group Theory
(2008)
11,
879
Mapping tori with first Betti number at least two
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– Journal of the Mathematical Society of Japan
(2007)
59,
351
Invariant trace fields of once-punctured torus bundles
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– Kodai Mathematical Journal
(2005)
28,
181
Fibred and virtually fibred hyperbolic 3-manifolds in the censuses
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– Experimental Mathematics
(2005)
14,
231
Strong Tits alternatives for compact 3-manifolds with boundary
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– Journal of Pure and Applied Algebra
(2004)
191,
89
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