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: 10.2140/gt.2021.25.47)
Framings of $W_{g,1}$
– Quarterly Journal of Mathematics
(2021)
6,
1029
(doi: 10.48550/arxiv.2007.00532)
Differential cohomology and topological actions in physics
– Advances in Theoretical and Mathematical Physics
(2020)
(doi: 10.48550/arxiv.2011.05768)
Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic
– Comptes Rendus Mathématique
(2020)
358,
469
(doi: 10.5802/crmath.61)
ON the COHOMOLOGY of TORELLI GROUPS
– Forum of Mathematics, Pi
(2020)
8,
e7
(doi: 10.48550/arxiv.1901.01862)
Exposé Bourbaki 1164 : 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)
Semisimplicial spaces
– Algebraic & Geometric Topology
(2019)
19,
2099
(doi: 10.2140/agt.2019.19.2099)
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