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Department of Pure Mathematics and Mathematical Statistics

Sadleirian Professor of Pure 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 automorphisms of high-dimensional solid tori
M Bustamante, O Randal-Williams
– Geometry and Topology
(2024)
28,
1629
Classical homological stability from the point of view of cells
O Randal-Williams
– Algebraic & Geometric Topology
(2024)
24,
1691
Configuration spaces as commutative monoids
O Randal‐Williams
– Bulletin of the London Mathematical Society
(2024)
56,
2847
Homological stability for general linear groups over Dedekind domains
O Randal-Williams
(2024)
Smooth generalized symmetries of quantum field theories
B Gripaios, O Randal-Williams, J Tooby-Smith
– Journal of Geometry and Physics
(2024)
201,
105212
Uniform twisted homological stability
J Miller, P Patzt, D Petersen, O Randal-Williams
(2024)
On diffeomorphisms of even-dimensional discs
A Kupers, O Randal-Williams
– Journal of the American Mathematical Society
(2024)
38,
63
Algebraic independence of topological Pontryagin classes
S Galatius, O Randal-Williams
– Journal für die reine und angewandte Mathematik (Crelles Journal)
(2023)
2023,
287
Monodromy and mapping class groups of 3-dimensional hypersurfaces
O Randal-Williams
(2023)
On the Cohomology of Torelli Groups. II
O Randal-Williams
– International Mathematics Research Notices
(2023)
2024,
2339
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Research Group

Differential Geometry & Topology

Room

E2.06

Telephone

01223 764291