Members of the topology group


Permanent Faculty

Martin Bridson

Geometric group theory, non-positive curvature

Christopher Douglas

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

Cornelia Drutu

Geometric group theory, ergodic theory, applications to number theory

András Juhász

Low Dimensional Topology,Heegaard Floer homology

Marc Lackenby

Topology and geometry of 3-dimensional manifolds, group theory

Panos Papazoglou


Geometric group theory

Graeme Segal

K-Theory, field theories, applications to physics

Ulrike Tillmann

Algebraic topology, K-theory, applications to quantum field theory


Postdocs and visitors

Tobias Dyckerhoff - Postdoc

George Raptis - Visiting February 23- March 16

Tim Riley - Visiting


Research students

Manuel Araujo

Henry Bradford -- Geometric group theory

Antonio De Capua

Giles Gardam

Simon Gritschacher

Claudio Llosa Isenrich

Robert Kropholler

Mark Penney 

Hemanth Saratchandran 

Thomas Wasserman

Hongyun Yon


Retired members

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 Cotton-Barratt -- Geometric group theory
  • Richard Wade -- Now a postdoc at the University of Utah
  • Jessica Banks -- Low dimensional topology. Now a postdoc at Université du Québec à Montréal
  • 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 Randal-Williams -- Spaces of manifolds, moduli spaces, diffeomorphism groups. Now a postdoc at the University of Cambridge.
  • Alexander Coward -- Topology and geometry of 3-dimensional 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 K-theory. -- Now a postdoc at Osnabruck.
  • Jessica Purcell -- Three-dimensional 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 -- Low-dimensional topology. -- Now working in London.
  • Vivien Easson -- Topology and geometry of 3-dimensional 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.