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
Differential cohomology and topological actions in physics
– Advances in Theoretical and Mathematical Physics
(2023)
27,
2045
(doi: 10.4310/ATMP.2023.v27.n7.a3)
THE POSITIVE SCALAR CURVATURE COBORDISM CATEGORY br
– Duke Mathematical Journal
(2022)
171,
2275
(doi: 10.1215/00127094-2022-0023)
Diffeomorphisms of discs and the second Weiss derivative of BTop(-)
(2021)
(doi: 10.48550/arxiv.2109.03500)
Tautological rings and stabilisation
– Glasgow Mathematical Journal
(2021)
64,
231
(doi: 10.48550/arxiv.2006.13050)
An $HP^2$-bundle over $S^4$ with nontrivial $\hat{A}$-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)
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