Members of the topology group
Permanent Faculty 

Geometric group theory, nonpositive curvature 

Algebraic and geometric topology, 3 and 4dimensional TQFT, elliptic cohomology 


Geometric group theory, ergodic theory, applications to number theory 

Low Dimensional Topology,Heegaard Floer homology 

Topology and geometry of 3dimensional manifolds, group theory 

Geometric group theory 
KTheory, field theories, applications to physics 


Algebraic topology, Ktheory, applications to quantum field theory 
Postdocs and visitors 

Tobias Dyckerhoff  Postdoc 

Ramses Fernandez  visiting DPhil student 

Andre Henriques  Leverhulme Visiting Professor 


Vladimir Voevodsky  Visiting Professor 
Research students 
Manuel Araujo 

Henry Bradford  Geometric group theory 

Antonio De Capua 

Giles Gardam 

Simon Gritschacher 

Renee Hoekzema 

Claudio Llosa Isenrich 

Robert Kropholler 

Alexander Margolis 

Nina Otter 

Mark Penney 

Hemanth Saratchandran 

Federico Vigolo 

Thomas Wasserman 

Gareth Wilkes 

Hongyun Yon 
Retired members
 Wilson Sutherland  Homotopy theoretic study of gauge groups and vector bundles.
 Glenys Luke  Global analysis.
 Ioan James  Homotopy theory; history of topology.
 Brian Steer  Gauge theory; the geometry of manifolds; global analysis.
Former members
 Andrew Stacey
 Shengkui Ye
 Richard Manthorpe
 Rosalinda Juer
 John Mackay  Now at the University of Bristol
 Will Cavendish
 Alessandro Sisto  Now a postdoc at ETH Zurich
 David Hume  Geometric group theory Now a postdoc at Université catholique de Louvain
 Benno Kuckuck  Geometric group theory
 Martin Palmer  Algebraic topology. Now a postdoc at the University of Münster
 Andrew Sale  Geometric group theory
 Owen CottonBarratt  Geometric group theory
 Richard Wade  Now a postdoc at the University of Utah
 Jessica Banks  Low dimensional topology. Now a lecturer at the University of Hull
 Dawid Kielak  Now a postdoc at the Mathematical Institue of the University of Bonn
 Nicholas Touikan  Now at Carleton University, Ottawa
 Lars Louder  Now at University College London
 Alexandra Pettet  Now at the University of British Columbia
 Anne Thomas  Geometric group theory and rigidity, lattices and buildings. Now a lecturer at the University of Glasgow.
 Oscar RandalWilliams  Spaces of manifolds, moduli spaces, diffeomorphism groups. Now a postdoc at the University of Cambridge.
 Alexander Coward  Topology and geometry of 3dimensional manifolds.  DPhil 2008, now a Research Associate at the University of Sydney.
 Jeffrey Giansiracusa  Moduli spaces, diffeomorphism groups, operads. Now a lecturer at Swansea University.
 Karin Alcaraz  Low dimensional topology.
 Liam Wall  Homology growth of congruence subgroups. Now working in consultancy in Oxford.
 George Raptis  Model categories, cobordism categories, Waldhausen Ktheory.  Now a postdoc at Osnabruck.
 Jessica Purcell  Threedimensional manifolds, hyperbolic geometry, and knot theory.  Now at BYU, USA.
 Johannes Ebert  Homotopy theory of surface bundles and moduli spaces of curves.  Now faculty member at the University of Münster.
 Liz Hanbury  Homological stability of spin mapping class groups.  DPhil 2007, now at Durham.
 Graham Hope  Farrell cohomology of mapping class groups, periodicity.  DPhil 2006, now teaching secondary school.
 Stelios Koundouros  Lowdimensional topology.  Now working in London.
 Vivien Easson  Topology and geometry of 3dimensional manifolds.  DPhil 2005, now working in higher education management at Queen Mary, University of London.
 Rune Ljungmann  Characteristic classes.  Now back in Denmark.
 Adam Piggott  Geometric group theory.  DPhil 2004, now Assistant Professor at Bucknell University, USA.