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
The positive scalar curvature cobordism category
– Duke Mathematical Journal
(2022)
171,
2275
(DOI: 10.1215/00127094-2022-0023)
Classical homological stability from the point of view of cells
(2022)
The family signature theorem
(2022)
Stable cohomology of congruence subgroups
(2022)
Diffeomorphisms of discs
(2022)
Diffeomorphisms of discs and the second Weiss derivative of BTop(-)
(2021)
On the Torelli Lie algebra
(2021)
On the order of Dehn twists
– The New York Journal of Mathematics
(2021)
On the order of Dehn twists
(2021)
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