# 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

Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic
M Krannich, O Randal-Williams
– Comptes Rendus. Mathématique
(2020)
358,
469
ON the COHOMOLOGY of TORELLI GROUPS
A Kupers, O Randal-Williams
– Forum of Mathematics, Pi
(2020)
8,
e7
Semi-simplicial spaces
J Ebert, O Randal-Williams
– Algebraic and Geometric Topology
(2019)
19,
2099
$E_{2}$-cells and mapping class groups
S Galatius, A Kupers, O Randal-Williams
– Publications Mathématiques de l'Institut des Hautes Études Scientifiques
(2019)
130,
1
Moduli spaces of manifolds: a user's guide
S Galatius, O Randal-Williams
(2019)
Infinite loop spaces and positive scalar curvature in the presence of a fundamental group
J Ebert, O Randal-Williams
– Geometry & Topology
(2018)
23,
1549
Some phenomena in tautological rings of manifolds
O Randal-Williams
– Selecta Mathematica, New Series
(2018)
24,
3835
Topology of the Electroweak Vacua
B Gripaios, O Randal-Williams
– Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
(2018)
782,
94
Homological stability for automorphism groups
O Randal-Williams, N Wahl
(2017)
318,
534
Homological stability for moduli spaces of high dimensional manifolds. II
S Galatius, O Randal-Williams
– Annals of Mathematics
(2017)
186,
127
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