1. 3D topological phases of matter---mainly around the 3D solvable models that Kevin Walker and Wang wrote down. There is also a connection with higher category/algebra.
2. Metaplectic anyons (with Matt Hastings and Chetan Nayak).
3. 2D SPT classification, and fermionic Levin-Wen models.
Leeds: Jiannis Pachos, Paul Martin, Frank Nijhoff, Tim Spiller, Zoltan Kadar, ...
Funded by the EPSRC Project: Physical, algebraic and geometric underpinnings of topological quantum computation
* site under construction (work in progress!)