Status:
Associate Professor in Pure Mathematics
+44 1865 273590
ORCID iD:
https://orcid.org/0000-0003-1661-5467
Research groups:
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Highlighted Publications:
An infinite compact Hausdorff group has uncountably many conjugacy classes
Proceedings of the American Mathematical Society
issue 9
volume 147
page 4083-4089
(8 April 2019)
On the growth of $L^2$-invariants for sequences of lattices in Lie
groups
Annals of Mathematics
(12 April 2017)
Full text available
Rank, combinatorial cost and homology torsion growth in higher rank lattices
Duke Mathematical Journal
issue 15
volume 166
page 2925-2964
(6 September 2016)
On growth of homology torsion in amenable groups
Mathematical Proceedings of the Cambridge Philosophical Society
issue 2
volume 162
page 337-351
(14 July 2016)
Rank gradient and cost of Artin groups and their relatives
Groups, Geometry, and Dynamics
issue 4
volume 8
page 1195-1205
(11 February 2015)
Full text available
Recent Publications:
On the growth of L2-invariants of locally symmetric spaces, II: exotic
invariant random subgroups in rank one
International Mathematics Research Notices
(11 May 2018)
Full text available
Some remarks on finitarily approximable groups
Journal de l'École polytechnique — Mathématiques
(16 January 2018)
Full text available
Gradients of sequences of subgroups in a direct product
International Mathematics Research Notices
(9 October 2017)
Full text available
Verbal width in anabelian groups
Israel Journal of Mathematics
(23 November 2016)
Full text available
A non-LEA Sofic Group
Proceedings - Mathematical Sciences
issue 2
volume 127
page 289-293
(16 November 2016)
Research interests:
Asymptotic behaviour of invariants of finite or infinite groups, for example expansion, word width, growth of rank or Betti numbers.
Teaching:
Prelims Group Theory and Part C Noncommutative Rings.
Prizes, awards, and scholarships:
Whitehead prize of the London Mathematical Society, 2007.