Members of the Department of Mathematics and Statistics are active in directing reserarch in the following fields.

Algebra | Category Theory and Logic | Geometric Group Theory |

Algebraic Geometry | Discrete Mathematics | Mathematical Physics |

Analysis and its Applications | Differential Geometry | Number Theory |

Applied Mathematics | Differential Equations | Probability & Statistics |

**Collaboration:**

The department works in close collaboration with a number of mathematical research centres in the Montréal area:

**Institut des sciences mathématiques (ISM)**

The ISM is an interuniversity organization which coordinates intermediate and advanced level graduate courses amongst nine institutions of higher learning in the province of Québec, including five in Montréal (Concordia, HEC Montréal, McGill, Université de Montréal, Université du Québec à Montréal) to offer a cooperative environment for graduate students at each of these institutions. The goals of the ISM are directed towards graduate education.

**Centre de recherches mathématiques (CRM)**

The mission of the CRM of the Université de Montréal is to promote fundamental research in mathematics and its applications. It acts as a national centre by organizing a variety of integrated activities such as thematic years, summer schools, and series of conferences.__Centre interuniversitaire en calcul mathématique algébrique (CICMA)__

CICMA is an FQRNT Centre in number theory and computational algebra, comprising researchers at Concordia, Laval and McGill and was established in 1990. The main goals of CICMA are the support of research in these areas, and the promotion of research interactions between these subjects__Centre de recherche en théorie des catégories (CTRC)__

The CRTC is a Research Centre consisting of researchers from the four universities in Montréal (McGill, Concordia, Montréal and UQAM), from two CEGEP's (Vanier and John Abbott), and from the University of Ottawa. The main activities are the organization of seminars.

**Colloquia and Seminars:**

The department has several active seminars, some of which are held jointly with other departments of mathematics and statistics in the city. The Québec-Vermont number theory seminar has participants from several universities in Montréal, and from Université Laval in Québec and the University of Vermont. During the academic year, the schedule of seminars and colloquia is published weekly in L'Officiel des mathématiques.

Le Colloque de mathématiques de Montréal is a joint CRM and ISM venture. Le Colloque de statistique de Montréal is a joint undertaking of the various Statistics departments in Montréal. These two colloquia meet at regular intervals and are addressed, in either French or English, by invited speakers.