Research

Most of our research is devoted to equilibrium statistical mechanics, lattice models, continuous limits and their symmetries, using tools of complex analysis, probability and quantum field theory.

A key project is the investigation of the connection between exactly solvable models and Conformal Field Theories.

For the Ising model, it now appears possible to understand mathematically the scaling limits of the various fields of the model at the phase transition, and to reveal remarkable structures that underlie these scaling limits.