Stefan Schwede

Stefan Schwede is Professor at the University of Bonn's Mathematical Institute, specializing in algebraic topology and homotopy theory. His research advances equivariant stable homotopy theory through innovative frameworks like global homotopy theory, which unifies symmetries across all compact Lie groups.

Key contributions include foundational work on orthogonal spectra, global model structures, and equivariant versions of Thom spectra and K-theory. His book 'Global Homotopy Theory' synthesizes developments in the field and establishes universal properties of global classifying spaces.

Schwede has developed computational tools for stable splittings of Stiefel manifolds and pioneered applications of category theory to equivariant contexts. His lectures emphasize connections between abstract homotopy theory and geometric structures like orbispaces.

He teaches advanced courses on topology and maintains an active seminar series in homotopy theory.