The things we’re working on right now include:

- the statistical properties of loop models, in particular those that appear in reformulations of the Chalker Coddington model for the Hall plateau transition,

- non-compact conformal field theories (for instance Witten’s Black Hole sigma model) and their spin chain regularizations,

- fusion in bulk logarithmic conformal field theory, and the potential relation with Zelevinsky tensor product in affine Hecke algebras,

- in relation with this:  four point-functions and bootstrap in percolation and polymers,

- general properties of non-unitary quantum field theories, in particular using:

- lattice discretizations of the Virasoro algebra and discrete conformal transformations,

- various technical aspects of the Bethe-ansatz

- and also exactly solved models of  transport through quantum impurities.