Professor of 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
Monodromy and mapping class groups of 3-dimensional hypersurfaces
(2023)
(doi: 10.48550/arxiv.2308.06397)
Monodromy and mapping class groups of 3-dimensional hypersurfaces
– Mathematische Annalen
(2023)
(doi: 10.48550/arxiv.2308.06397)
On the Torelli Lie algebra
– Forum of Mathematics, Pi
(2023)
11,
e13
(doi: 10.48550/arxiv.2106.16010)
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)
1
(doi: 10.1017/prm.2022.91)
Differential cohomology and topological actions in physics
– Advances in Theoretical and Mathematical Physics
(2023)
27,
2045
(doi: 10.4310/ATMP.2023.v27.n7.a3)
THE POSITIVE SCALAR CURVATURE COBORDISM CATEGORY br
– Duke Mathematical Journal
(2022)
171,
2275
(doi: 10.1215/00127094-2022-0023)
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