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
On diffeomorphisms of even-dimensional discs
– Journal of the American Mathematical Society
(2024)
38,
63
(doi: 10.48550/arxiv.2007.13884)
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)
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
- <
- 2 of 8