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

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

Lars Louder
John Mackay
   

Research students

Karin Alcaraz

Low dimensional topology

Jessica Banks

Knot theory

Henry Bradford
Owen Cotton-Barratt

Geometric group theory

David Hume

Geometric group theory and ergodic theory

Rosalinda Juer
Dawid Kielak

Geometric group theory

Benno Kuckuck

Geometric group theory

Richard Manthorpe
Martin Palmer

Algebraic topology

Andrew Sale

Geometric group theory

Hemanth Saratchandran
Alessandro Sisto
Richard Wade

Geometric group theory

 

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.
  • Dan Quillen -- K-Theory; cyclic homology; applications to physics.

Recent members

  • Nicholas Touikan
  • 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 Sydney.
  • Oscar Randal-Williams -- Spaces of manifolds, moduli spaces, diffeomorphism groups. Now a postdoc at the University of Copenhagen.
  • Jeffrey Giansiracusa -- Moduli spaces, diffeomorphism groups, operads. Now a lecturer at Swansea University.
  • 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 in Bonn, Germany.
  • Alexander Coward -- Topology and geometry of 3-dimensional manifolds. -- DPhil 2008, now Kerner Assistant Professor at UC Davis, USA.
  • 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.