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Faculty of Mathematics

 

 

Professor of Mathematics

Research Interests: Algebraic and Geometric Topology, in particular: mapping class groups, moduli spaces, cobordism categories, spaces of manifolds, surgery, configuration spaces, characteristic classes, K-theory and applications of homotopy theory to geometry.

 

Publications

On the Torelli Lie algebra
A Kupers, O Randal-Williams
– Forum of Mathematics, Pi
(2023)
11,
e13
Generalized symmetries of topological field theories
B Gripaios, O Randal-Williams, J Tooby-Smith
– Journal of High Energy Physics
(2023)
2023,
87
On the order of Dehn twists
A Keating, O Randal-Williams
– New York Journal of Mathematics
(2023)
29,
203
The family signature theorem
O Randal-Williams
– Proceedings of the Royal Society of Edinburgh Section A Mathematics
(2023)
1
On the cohomology of Torelli groups. II
O Randal-Williams
(2023)
Generalized symmetries of topological field theories
B Gripaios, O Randal-Williams, J Tooby-Smith
(2022)
Algebraic independence of topological Pontryagin classes
S Galatius, O Randal-Williams
(2022)
THE POSITIVE SCALAR CURVATURE COBORDISM CATEGORY br
J Ebert, O Randal-Williams
– Duke Mathematical Journal
(2022)
171,
2275
Classical homological stability from the point of view of cells
O Randal-Williams
– Algebraic and Geometric Topology
(2022)
Stable cohomology of congruence subgroups
O Randal-Williams
(2022)
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Research Group

Differential Geometry & Topology

Room

E2.06

Telephone

01223 764291