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Stolz-Teichner program; (local) functorial quantum field theory and sigma models; K-homology and KK-theory; chromotopy and topological modular forms; 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.

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