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
On the Cohomology of Torelli Groups. II
– International Mathematics Research Notices
(2023)
2024,
2339
(doi: 10.1093/imrn/rnad143)
On the Torelli Lie algebra
– Forum of Mathematics Pi
(2023)
11,
e13
(doi: 10.48550/arxiv.2106.16010)
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)
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)
Diffeomorphisms of discs and the second Weiss derivative of BTop(-)
(2021)
(doi: 10.48550/arxiv.2109.03500)
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