Algebraic Topology · Operator Algebra · Noncommutative Geometry · Poisson Geometry · Groupoid and Algebroid
- Dixmier-Douady class vs. Groupoid cohomology
- Continuous-Trace $C^\ast$ algebras
- Twisted Dirac structure, quasisymplectic groupoids, shifted Poisson structure
- Bundle gerbes, gerbes, principal 2-bundles
- Geometric quantization, Foliations, Differentiable stacks
- Twisted $K$-theory, Baum-Connes for foliations, transversal index theory