Stolz-Teichner program; mathematical physics, especially quantum field theory and sigma models; K-homology and KK-theory; chromotopy (chromatic homotopy); topological modular forms; (local) functorial quantum field theory; geometric models for (co)homology; noncommutative geometry, especially von Neumann algebras, noncommutative integration, modular theory, correspondences, Connes fusion, continuous tensor product systems; applications of topology and noncommutative geometry to each other.