 His research areas include gauge field theories, supersymmetry, 
quantum algebra, integrable systems and combinatorics.At the Université de Montréal, Vinet held the position of director of the Centre de recherches mathématiques (CRM) from 1993 to 1999.During his term as director, the CRM succeeded in rallying the forces of quantitative research by forming a network of centers of excellence in computing from the association of seven major Montreal research centers (CERCA, CIRANO, CRIM, CRM, CRI, GERAD and INRS–Télécom) under the banner of the Network for Computing and Mathematical Modeling (NCM2).