Sadleirian Professor of Pure 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
Tautological rings and stabilisation
– Glasgow Mathematical Journal
(2021)
64,
231
(doi: 10.1017/S0017089521000045)
A vanishing theorem for tautological classes of aspherical manifolds
– Geometry & Topology
(2021)
25,
47
(doi: 10.48550/arxiv.1705.06232)
Framings of $W_{g,1}$
– Quarterly Journal of Mathematics
(2021)
6,
1029
(doi: 10.48550/arxiv.2007.00532)
Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic
– Comptes Rendus Mathematique
(2020)
358,
469
(doi: 10.48550/arxiv.2105.11158)
On the cohomology of Torelli groups
– Forum of Mathematics Pi
(2020)
8,
e7
(doi: 10.1017/fmp.2020.5)
HOMOLOGY OF HURWITZ SPACES AND THE COHEN-LENSTRA HEURISTIC FOR FUNCTION FIELDS [after Ellenberg, Venkatesh, and Westerland]
– Astérisque
(2020)
422,
469
(doi: 10.24033/ast.1143)
Semi-simplicial spaces
– Algebraic & Geometric Topology
(2019)
19,
2099
(doi: 10.48550/arxiv.1705.03774)
$E_2$-cells and mapping class groups
– Publications Mathematiques De L Institut Des Hautes Etudes Scientifiques
(2019)
130,
1
(doi: 10.48550/arxiv.1805.07187)
Infinite loop spaces and positive scalar curvature in the presence of a
fundamental group
– Geometry & Topology
(2018)
23,
1549
(doi: 10.2140/gt.2019.23.1549)
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