Since the inception of the CRM, Mathematical Physics has been one of its leading areas of strength. The group has grown considerably over the years and includes at present fourteen regular members who are full-time academic researchers affiliated to seven Quebec universities, and a further fifteen associate members, including six from Europe and the U.S. Working with the regular members at present are ten postdoctoral fellows, fifteen doctoral students, twenty master's students, and numerous scientific collaborators who come for visits of various durations throughout the year.

The group carries out research in several domains, including some of the most active current areas in mathematical physics, These include: classical and quantum integrable systems, with applications to nonlinear coherent fluids, plasmas and optics, quantum spin systems, random matrices, random processes, classical and quantum statistical mechanics, conformal field theory, percolation, spectral theory of Schrôdinger operators, quasi-crystals, analysis of partial differential equations and difference equations via symmetry, quantization techniques and wavelet analysis for signal processing.

Official Website of the Mathematical Physics Laboratory