Dear Bob, The subjects in my list were not chosen according to the size of research grants or the number of peoples hired in recent years by such and such institutions. I know first hand every subject in the list, at least at the basic level. They make an essential use of category theory, and they inspire new developements in the field. I confess that I am quite ignorant about quantum computing. You wrote:
in funding terms this may currently be the 2nd most funded category-theory related area after Category Theory in Computer Science, with, for example, dedicated large EU grants, US Office of Naval Research support, and many others. Also, this summer two researchers in the area obtained permanent positions in France, and here in Oxford we hired a 3rd faculty member in the area.
I do not question the importance of the subject. But presently, I am not convinced that quantum computing can contribute significantly to category theory. Best, André [For admin and other information see: http://www.mta.ca/~cat-dist/ ] Status: RO