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: 10.48550/arxiv.2006.13050)
An $\protect \text{HP}^2$-bundle over $\protect \text{S}^4$ with nontrivial Â-genus
– Comptes Rendus. Mathématique
(2021)
359,
149
(doi: 10.5802/crmath.156)
A vanishing theorem for tautological classes of aspherical manifolds
– Geometry & Topology
(2021)
25,
47
(doi: 10.2140/gt.2021.25.47)
Framings of $W_{g,1}$
– Quarterly Journal of Mathematics
(2021)
6,
1029
(doi: 10.1093/qmath/haaa057)
Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic
– Comptes Rendus. Mathématique
(2020)
358,
469
(doi: 10.48550/arxiv.2105.11158)
On the cohomology of Torelli groups
– Forum of Mathematics, Pi
(2020)
8,
e7
(doi: 10.48550/arxiv.1901.01862)
HOMOLOGY OF HURWITZ SPACES AND THE COHEN-LENSTRA HEURISTIC FOR FUNCTION FIELDS [after Ellenberg, Venkatesh, and Westerland]
– Asterisque
(2020)
422,
469
(doi: 10.24033/ast.1143)
Semi-simplicial spaces
– Algebraic and Geometric Topology
(2019)
19,
2099
(doi: 10.2140/agt.2019.19.2099)
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