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Department of Pure Mathematics and Mathematical Statistics

 

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

A vanishing theorem for tautological classes of aspherical manifolds
F Hebestreit, M Land, W Lück, O Randal-Williams
– Geometry and Topology
(2021)
25,
47
Framings of $W_{g,1}$
A Kupers, O Randal-Williams
– The Quarterly Journal of Mathematics
(2021)
6,
1029
Manifolds and Groups
C Löh, O Randal-Williams, T Schick
– Oberwolfach Reports
(2021)
17,
417
Differential cohomology and topological actions in physics
J Davighi, B Gripaios, O Randal-Williams
– Advances in Theoretical and Mathematical Physics
(2020)
On automorphisms of high-dimensional solid tori
M Bustamante, O Randal-Williams
– Geometry and Topology
(2020)
Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic
M Krannich, O Randal-Williams
– Comptes Rendus Mathematique
(2020)
358,
469
$E_\infty$-cells and general linear groups of infinite fields
S Galatius, A Kupers, O Randal-Williams
(2020)
ON the COHOMOLOGY of TORELLI GROUPS
A Kupers, O Randal-Williams
– Forum of Mathematics, Pi
(2020)
8,
e7
Homology of hurwitz spaces and the cohen-lenstra heuristic for function fields: [after Ellenberg, Venkatesh, and Westerland]
O Randal-Williams
– Astérisque
(2020)
422,
469
Semi-simplicial spaces
J Ebert, O Randal-Williams
– Algebraic & Geometric Topology
(2019)
19,
2099
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Room

E2.06

Telephone

01223 764291