Theoretical particle physics; quantum field theory and applications in particle physics, cosmology, condensed matter physics, etc. Semiclassical methods, topology in field theory, solitons, instantons. Quantum information.

My research focuses on finding precise solutions to physics models. I work on designing systems for the perfect transfer of quantum information. I study the (random) quantum walks used in the development of quantum calculation algorithms. I examine the asymmetrical exclusion processes that apply in a large number of fields like biopolymerization and traffic-flow problems. My research also deals with stochastic processes used in genetic modelling. A large proportion of my work is devoted to integrable or superintegrable systems, so called because they have many conservation laws. They are important in theoretical terms and have many applications. The methodology underlying my research is based in part on the study of symmetries. I am also working to develop their mathematical description in terms of algebraic structures and orthogonal polynomials and special functions.

I'm a condensed matter theorist working as an Assistant Professor at Université de Montréal, in Québec, Canada. I'm interested in the unsual states of matter that emerge (usually) at low temperature, where quantum mechanics dictates the rules.

I hold a Canada Research Chair in Quantum Phase Transitions. 

I'm a member of the Centre de Recherches Mathématiques (CRM), a major hub for the mathematical sciences (including mathematical physics), located on the Université de Montréal campus.