Homepage of Maximilian Hans

I am a PhD student of Daniel Kasprowski at the University of Southampton. Before that, I was based in Bonn, working with Peter Teichner. My research interests lie primarily at the intersection of geometric topology and homotopy theory. This includes spaces of embeddings and diffeomorphisms, 4-manifolds, surgery theory, K- and L-Theory. I am currently working on a comparison between classical and modified surgery theory.

Here are some notes I have written covering various topics.

• A Light Bulb Theorem for Multi-Disks.
• The Kervaire Invariant and a non-smoothable Manifold.
• The Pontrjagin-Thom Construction.
• The Birman-Craggs Homomorphisms.
• The Rokhlin Invariant and Homology Cobordism.
• Symplectic Representation of the Mapping Class Group.

Contact: maximilian.hans(at)soton.ac.uk
Office: Room 8035, B54, West Highfield Campus, University Road, SO17 1BJ