Photo by Rachael Boyd
Photo by Rachael Boyd
My main research interests are algebraic and geometric topology, especially in moduli spaces, fiber bundles, and applications of homotopy theory to geometry, with a special focus on the topology of manifolds.
Publications
Contributed to the appendix of: Characteristic numbers of manifold bundles over spheres and positive curvature via block bundles
Some rational homology computations for diffeomorphisms of odd-dimensional manifolds
With J. Ebert, Journal of Topology 17 (1) (2024) [Journal] [ArXiv]
Simplicial volume and essentiality of manifolds fibered over spheres
Parametrised moduli spaces of surfaces as infinite loop spaces
Bundles with non-multiplicative Â-genus and spaces of metrics with lower curvature bounds
Characteristic numbers of manifold bundles over surfaces with highly connected fibers
Tautological classes and smooth bundles over BSU(2)
Linear and quadratic ranges in representation stability
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I have always had a passion for sharing my enthusiasm for mathematics.
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