Oxford Topology

Research

Active areas of research in the group include: geometric group theory; algebraic topology; low-dimensional topology; topological quantum field theory; and K-theory.

• Members of the research group
• Recent papers from the topology group

Seminars

• Topology Seminar, Mon 3.30pm - Upcoming - Past
• Geometric Group Theory Seminar, Tues 3pm - Upcoming - Past
• Geometry & Analysis Seminar, Mon 2.15pm - Upcoming - Past
• Junior Geometry & Topology Sem, Thurs 4pm - Upcoming - Past
• Junior Topology & Group Theory Sem, Wed 4pm - Upcoming - Past
• Poincaré Seminar, Mondays 12.30pm
• Advanced Class, Mondays 11.00am
• Online topology seminars list
• London Geometry and Topology Seminar
• Geometry and Groups in the South East

Classes

Past topics of the topology advanced class, the Poincaré seminar, or graduate lecture courses include:

• The 4-dimensional light bulb theorem
• Factorisation homology
• Simplicial homotopy theory
• L^2 Betti numbers
• Topology of 4-manifolds
• Functor calculus
• Surface subgroups
• Configuration spaces
• Cobordism theory: old and new
• Finiteness properties of discrete groups
• Surgery theory
• Arc-presentations of links
• The Nilpotence Theorem in stable homotopy
• Elliptic cohomology
• Operads and the Deligne conjecture
• Cohomology of groups
• Classics in algebraic topology
• Quantum invariants in low-dimensional topology
• Introduction to spectral sequences

Links

• Conferences in algebraic or geometric topology
• London Mathematical Society
• British topology homepage
• The Journal of Topology