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 diffeomorphisms of even-dimensional discs
– Journal of the American Mathematical Society
(2024)
38,
63
(doi: 10.48550/arxiv.2007.13884)
Asymptotic mapping class groups of Cantor manifolds and their finiteness properties (with an appendix by Oscar Randal-Williams)
– Revista Matematica Iberoamericana
(2024)
40,
2003
(doi: 10.4171/RMI/1502)
Algebraic independence of topological Pontryagin classes
– Journal fuer die Reine und Angewandte Mathematik: Crelle's journal
(2023)
2023,
287
(doi: 10.1515/crelle-2023-0051)
The Alexander trick for homology spheres
– International mathematics research notices
(2023)
(doi: 10.48550/arxiv.2308.15607)
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: 10.1007/jhep03(2023)087)
The family signature theorem
– Proceedings of the Royal Society of Edinburgh Section A Mathematics
(2023)
154,
2024
(doi: 10.1017/prm.2022.91)
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