Welcome! I am a graduate student in pure mathematics at Stanford University, working in topology. My advisor is Søren Galatius and I expect to receive my PhD in 2019. My CV is available.
Email: jreinh [AT] stanford [DOT] edu.
I am interested in algebraic and geometric topology, and my work is aimed at applying homotopy theory to solve geometric questions, with a special focus on the topology of manifolds.
Some keywords: manifold bundles and their characteristic classes, cobordism categories, moduli spaces of manifolds, configuration spaces, surgery theory and the classification of high-dimensional manifolds.
Publications and Preprints
- Characteristic numbers of manifold bundles over surfaces with highly connected fibers, with M. Krannich, preprint. [ArXiv]
- Tautological classes and smooth bundles over BSU(2), Proceedings of the American Mathematical Society, to appear. [ArXiv]
- Linear and quadratic ranges in representation stability, with T. Church, J. Miller and R. Nagpal, Advances in Mathematics 333 (2018), 1 – 40. [ArXiv]