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
$E_\infty$-cells and general linear groups of infinite fields
(2018)
(doi: 10.48550/arxiv.1810.11931)
Infinite loop spaces and positive scalar curvature in the presence of a fundamental group
– Geometry and Topology
(2018)
23,
1549
(doi: 10.48550/arxiv.1711.11363)
Some phenomena in tautological rings of manifolds
– Selecta Mathematica, New Series
(2018)
24,
3835
(doi: 10.1007/s00029-018-0417-z)
Topology of electroweak vacua
– Journal of High Energy Physics
(2018)
782,
94
Homological stability for automorphism groups
– Advances in Mathematics
(2017)
318,
534
(doi: 10.1016/j.aim.2017.07.022)
Homological stability for moduli spaces of high dimensional manifolds. II
– Annals of Mathematics
(2017)
186,
127
(doi: 10.4007/annals.2017.186.1.4)
Homological stability for moduli spaces of high dimensional manifolds. I
– Journal of the American Mathematical Society
(2017)
31,
215
(doi: 10.1090/jams/884)
Homological Stability for Spaces of Embedded Surfaces
– Geometry and Topology
(2017)
21,
1387
(doi: 10.48550/arxiv.1304.3006)
Tautological rings for high dimensional manifolds
– Compositio Mathematica
(2017)
153,
851
(doi: 10.1112/s0010437x16008332)
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