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
Smooth generalized symmetries of quantum field theories
– Journal of Geometry and Physics
(2024)
201,
105212
(doi: 10.48550/arxiv.2310.16090)
On diffeomorphisms of even-dimensional discs
– Journal of the American Mathematical Society
(2024)
38,
63
(doi: 10.1090/jams/1040)
Algebraic independence of topological Pontryagin classes
– Journal für die reine und angewandte Mathematik (Crelles Journal)
(2023)
2023,
287
(doi: 10.1515/crelle-2023-0051)
On the cohomology of Torelli groups. II
– International Mathematics Research Notices
(2023)
2024,
2339
(doi: 10.1093/imrn/rnad143)
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)
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