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
A vanishing theorem for tautological classes of aspherical manifolds
– Geometry & Topology
(2021)
25,
47
(doi: 10.2140/gt.2021.25.47)
Framings of $W_{g,1}$
– The Quarterly Journal of Mathematics
(2021)
6,
1029
(doi: 10.48550/arxiv.2007.00532)
Differential cohomology and topological actions in physics
– Advances in Theoretical and Mathematical Physics
(2020)
(doi: 10.48550/arxiv.2011.05768)
On automorphisms of high-dimensional solid tori
– Geometry and Topology
(2020)
Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic
– Comptes Rendus Mathematique (Academie des Sciences)
(2020)
358,
469
(doi: 10.5802/CRMATH.61)
On the cohomology of Torelli groups
– Forum of Mathematics Pi
(2020)
8,
e7
(doi: 10.1017/fmp.2020.5)
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