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
Exposé Bourbaki 1164 : Homology of Hurwitz spaces and the Cohen-Lenstra heuristic for function fields (after Ellenberg, Venkatesh, and Westerland)
– Asterisque
(2020)
422,
469
(doi: 10.24033/AST.1143)
Semisimplicial spaces
– Algebraic & Geometric Topology
(2019)
19,
2099
(doi: 10.2140/agt.2019.19.2099)
$E_2$-cells and mapping class groups
– Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques
(2019)
130,
1
(doi: 10.1007/s10240-019-00107-8)
$E_\infty$-cells and general linear groups of infinite fields
(2018)
(doi: 10.48550/arxiv.2005.05620)
Infinite loop spaces and positive scalar curvature in the presence of a fundamental group
– Geometry & Topology
(2018)
23,
1549
(doi: 10.2140/gt.2019.23.1549)
Some phenomena in tautological rings of manifolds
– Selecta Mathematica
(2018)
24,
3835
(doi: 10.1007/s00029-018-0417-z)
Topology of the Electroweak Vacua
– Physics Letters B
(2018)
782,
94
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