# 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 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 ${\bf H}P^2$-bundle over $S^4$ with nontrivial $\hat{A}$-genus
M Krannich, A Kupers, O Randal-Williams
– Comptes Rendus Mathématique
(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
Framings of $W_{g,1}$
A Kupers, O Randal-Williams
– Quarterly Journal of Mathematics
(2021)
6,
1029
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E2.06

01223 764291
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