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.

Preprints

• Contributed to the appendix of: Sphericity of κ-classes and positive curvature via block bundles

Publications

• Some rational homology computations for diffeomorphisms of odd-dimensional manifolds     

With J. Ebert, Journal of Topology, accepted for publication [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