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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

The family signature theorem
O Randal-Williams
– Proceedings of the Royal Society of Edinburgh: Section A Mathematics
(2023)
1
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)
Diffeomorphisms of discs
O Randal-Williams
(2022)
Diffeomorphisms of discs and the second Weiss derivative of BTop(-)
M Krannich, O Randal-Williams
(2021)
On the Torelli Lie algebra
A Kupers, O Randal-Williams
(2021)
Tautological rings and stabilisation
O Randal-Williams
– Glasgow Mathematical Journal
(2021)
64,
231
An $HP^2$-bundle over $S^4$ with nontrivial $\hat{A}$-genus
M Krannich, A Kupers, O Randal-Williams
– Comptes Rendus Mathematique (Academie des Sciences)
(2021)
359,
149
A vanishing theorem for tautological classes of aspherical manifolds
F Hebestreit, M Land, W Lück, O Randal-Williams
– Geometry & Topology
(2021)
25,
47
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Room

E2.06

Telephone

01223 764291