### Research Proposals

#### Posted by David Corfield

There’s nothing quite like a research proposal to give you a sense of some of the big stories out there. Try Geometry and Quantum Theory for what’s happening in Holland of relevance to the Café. From a couple of years back, John Rognes*et al.*talked about Brave New Rings, and, of course, there is John’s proposal for Higher Categorical Structures and Their Applications written with Peter May. Personal research statements are equally interesting, see for example Dror Bar-Natan’s discussion of the categorification of knot invariants, including a mention of the “big dream of categorifying all of quantum algebra”. Posted at January 3, 2007 1:23 PM UTC

## Re: Research Proposals

I’m pleased that Dror Bar-Natan is interested in categorification! Here are some snippets from his research proposal:

I guess it’s time for me to start explaining how James Dolan and Todd Trimble and I have categorified the theory of quantum groups!