I am working on a circle of ideas that goes by the name
See there for survey, introduction, details and further links. Expositions, talk notes and lecture notes are listed here. For a list of published articles and of preprints on the subject see at subprojects.
Here is a list of links to lecture notes that I have prepared for various seminars or course that I organized and/or taught.
Stephan Bongers, Geometric quantization of symplectic and Poisson manifolds, master thesis (August 2013)
Joost Nuiten, Cohomological quantization of local prequantum boundary field theory, master thesis (August 2013)