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: 10.1007/JHEP03(2023)087)
On the order of Dehn twists
– The New York Journal of Mathematics
(2023)
29,
203
The family signature theorem
– Proceedings of the Royal Society of Edinburgh Section A Mathematics
(2023)
154,
2024
(doi: 10.1017/prm.2022.91)
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
– 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)
An $\protect \text{HP}^2$-bundle over $\protect \text{S}^4$ with nontrivial Â-genus
– Comptes Rendus Mathematique (Academie des Sciences)
(2021)
359,
149
(doi: 10.5802/crmath.156)
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