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
The positive scalar curvature cobordism category
– Duke Mathematical Journal
(2022)
171,
2275
(doi: 10.1215/00127094-2022-0023)
Differential cohomology and topological actions in physics
– Advances in Theoretical and Mathematical Physics
(2022)
27,
2045
(doi: 10.48550/arxiv.2011.05768)
Tautological rings and stabilisation
– Glasgow Mathematical Journal
(2021)
64,
231
(doi: 10.48550/arxiv.2006.13050)
An ${\bf H}P^2$-bundle over $S^4$ with nontrivial $\hat{A}$-genus
– Comptes Rendus Mathematique
(2021)
359,
149
(doi: 10.5802/CRMATH.156)
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: 10.1093/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)
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