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
Generalized symmetries of topological field theories
– Journal of High Energy Physics
(2023)
2023,
87
(doi: 10.48550/arxiv.2209.13524)
The family signature theorem
– Proceedings of the Royal Society of Edinburgh Section A Mathematics
(2023)
154,
2024
(doi: 10.1017/prm.2022.91)
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: 10.1017/S0017089521000045)
An ${\bf H}P^2$-bundle over $S^4$ with nontrivial $\hat{A}$-genus
– Comptes Rendus Mathématique
(2021)
359,
149
(doi: 10.48550/arxiv.2007.15062)
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