Both classical and central to modern mathematics, mathematical analysis is at the core of all continuous system comprehension. The mathematical analysis laboratory concentrates its research on dynamical systems, partial differential equations and spectra of operators.

CICMA, is an inter-university research center officially established in 1989. Its research activities are concentrated on number theory and arithmetic geometry.

CIRGET is a joint force of researchers at the cuttin-edge of international research in differential geometry, topology, geometric group theory and mathematical physics.

Founded in 1982, LaCIM is composed of researchers in mathematics and theory computing with interests in descrete mathmatics and mathematical aspects of computing.

As a result of state-of-the-art computational resources, it has become possible to simulate problems and figure solutions that we only dreamed of a decade ago. This has been a driving force in the creation of this laboratory.

The work of PhysNum is focused on cerebral imaging and its method. Started within a collaboration with INSERM (Hôpital Pitié-Salpêtrière) and the Institut universitaire de gériatrie de Montréal, this trend took shape during the study of reconstruction signals in magnetoencephalographic problems.

Mathematical physics represents one of the traditional strengths of the CRM ever since the arrival of J. Patera and P. Winternitz at the Centre at the beginning of the 1970's. Research focus on several of the most active scientific areas in mathematical physics.

Statistics is central to many endeavours in society. Whether it be through surveys from sampling, clinical trials to study various biomedical treatments or experimental designs in agriculture or industry, statistical methodology can be found everywhere in science. The statistics laboratory rallies a great number of statisticians from Eastern Canada.

Quantum information is an emerging field of research, at the crossroads of mathematics, physics, computer science and chemistry. It could potentially bring about a fundamental revolution, not only in our way of processing information, but also in our way of understanding the world.

Quantum information is an emerging field of research, at the crossroads of mathematics, physics, computer science and chemistry. It could potentially bring about a fundamental revolution, not only in our way of processing information, but also in our way of understanding the world.

Ever since the fundamental work of Claude Shannon and Alan Turing during the first half of the 20th century, information theory has been anchored in a classical conception of the physical world inherited from Newton and Einstein. This conception has prevented us from exploiting the full potential of the physical world for the processing of information since in reality the world is governed, at the microscopic level, by the laws of quantum mechanics. These laws are quite different from those of classical physics. For instance, quantum mechanics teaches us that elementary particles do not behave like macroscopic objects such as planets and hockey pucks. What influence could this reality have on our way of processing information? Several laboratories have been established worldwide to investigate this avenue of research; the members of the Institut transdisciplinaire d'informatique quantique (INTRIQ) are among the pioneers of this extraordinary scientific adventure.