- Geometric group theory
- Non-commutative geometry
- Low dimensional topology
- Applications of pure mathematics
Accepting applications from PhD students.
BSc (Hons) Pure Mathematics, University of Reading, 1981.
MSc Mathematics (Distinction), University of London, 1985.
Graduate RA to Prof Peter Scott, University of Michigan, 1987-88.
PhD, University of Liverpool, 1988.
SERC Postdoctoral Fellowship, 1988-1990.
SERC Postdoctoral Research Assistant to Peter Kropholler, 1990-1992.
Lecturer, University of Southampton, 1992-2000.
Visiting researcher, University of Rutgers, Newark, 1998.
Senior Lecturer, University of Southampton, 2000-2006.
Director of the National Cipher Challenge, 2001-
Head of Pure Mathematics, University of Southampton, 2007-2011.
Fellow of the Institute of Mathematics and its Applications, 2012-
Leverhulme Research Fellow, 2012
Visiting Researcher, Exeter College Oxford, 2012.
Head of Mathematical Sciences, University of Southampton, 2012-2015.
Member of the EPSRC Mathematical Sciences Strategic Advisory Team, 2015-2017
Chair of the EPSRC Mathematical Sciences Strategic Advisory Team, 2018-2020
Member of the Council of the Institute of Mathematics and its Applications, 2012-
Member of the EPSRC Science and Engineering Technology Board 2021-2025