# Department of Pure Mathematics and Mathematical Statistics

University Lecturer

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 the COHOMOLOGY of TORELLI GROUPS
A Kupers, OSCAR Randal-Williams
– Forum of Mathematics Pi
(2020)
8,
e7
$E_2$-cells and mapping class groups
S Galatius, A Kupers, O Randal-Williams
– Publications mathématiques de l'IHÉS
(2019)
130,
1
Semisimplicial spaces
J Ebert, O Randal-Williams
– Algebraic and Geometric Topology
(2019)
19,
2099
Moduli spaces of manifolds: a user's guide
S Galatius, O Randal-Williams
Infinite loop spaces and positive scalar curvature in the presence of a fundamental group
J Ebert, O Randal-Williams
– Geometry and Topology
(2019)
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
– Journal of 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
Homological stability for moduli spaces of high dimensional manifolds. II
S Galatius, O Randal-Williams
– Annals of Mathematics
(2017)
31,
127
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E2.06

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