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 Fur Die Reine Und Angewandte Mathematik
(2023)
2023,
287
(doi: 10.48550/arxiv.2208.11507)
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)
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