logo Web



Banner of COVID-19 Notice

Events at the CRM

PDF version

News - CRM


Computer-assisted Mathematical Proofs in Nonlinear Analysis

A new weekly Seminar Series (every Tuesday of the Summer at 10 am) starts on Tuesday June 23, 2020 at 10 am. To register, visit the new web page : CRM CAMP in Nonlinear Analysis

First activity : Stable periodic patterns in 3D for the Ohta-Kawasaki problem

To participate to all other CRM Seminar Series, see the CRM calendar.

To see recent videos, see our YouTube Channel.

Launch of the CRM Expert Team in Epidemiology and Public Health Activities

Banner of the CRM Expert Team in Epidemiology and Public Health

On this occasion, Professor Morgan Craig (Université de Montréal) will give a videoconference at 4 p. m. on June 19, 2020. To participate, follow this link: https://umontreal.zoom.us/j/94839201651?pwd=Nm52ZzUzWjdrNWhlMG04Rk1Cb0NZQT09

Title of the conference : Quantitative approaches to understanding the immune response to SARS-CoV-2 infection

For more information, we invite you to visit the CRM Expert Team in Epidemiology and Public Health web page.

Creation of the CRM-ISM-AMQ award for an exceptional publication

It is our pleasure to announce the establishment of the CRM-ISM-AMQ Prize, to be awarded annually for an outstanding publication in the Annales mathématiques du Québec (AMQ) . The new prize has been created in collaboration between the Centre de recherches mathématiques, the Institut des sciences mathématiques (ISM) and the AMQ.

Awarding Rules: The prize is awarded at the end of each calendar year. To be eligible, the paper must be published in the AMQ during that or the previous year. The winning paper is selected by the Editorial Board; no nominations are required.

The monetary value of the prize is CAD $1000. For the first time, the prize will be awarded in December 2021 to one of the papers published in the years 2021 or 2020.

For further information on the AMQ , including the submission guidelines, please visit https://www.springer.com/journal/40316

Two Québec researchers named Fellows of the Institute of Mathematical Statistics

Two McGill professors have recently been named Fellows of the Institute of Mathematical Statistics (IMS). They are probabilist Louigi Addario-Berry, CRM Deputy Director in charge of Scientific Activities from 2015 to 2019, and statistician Johanna G. Nešlehová, 2019 recipient of the CRM-SSC Prize.

Created in 1935, the IMS is a professional and scholarly society of international repute fostering the development and dissemination of the theory and applications of statistics and probability; it has over 3500 active members. Each year, the IMS selects a class of Fellows who have demonstrated excellence in research or leadership in probability or statistics. This high distinction was awarded this year to 35 individuals, including professors Addario-Berry, Nešlehová, and three other Canadians. For a summary of their achievements and a complete list of the 2020 IMS Fellows. | Read more

2020 CRM-SSC Prize Recipient Erica Moodie (McGill University) Erica Moodie

The CRM-SSC Prize in Statistics is awarded annually by the Centre de recherches mathématiques (CRM) and the Statistical Society of Canada (SSC) in recognition of outstanding research carried out primarily in Canada by a statistician during the first fifteen years after completing a PhD. The 2020 recipient of this prize is Erica Moodie, William Dawson Scholar and Associate Professor in the Department of Epidemiology, Biostatistics, and Occupational Health at McGill University. | Read more

En avant math!

Twelve field initiative projects were selected following the first call. Some of these will get started quickly. You will find the list on the website En avant math !

Online Open Probability School (OOPS)

In view of the current situation, PIMS-CRM Summer School in Probability and the Summer School 2020 Séminaire de mathématiques supérieures (SMS) on Discrete Probability, Physics and Algorithms have united to run a series of mini-courses in probability this Summer: OOPS! (Online Open Probability School).

To register: https://mailman-mail5.webfaction.com/listinfo/oops

En avant math! offers traditional games

En avant math!, an initiative for the promotion of mathematics at the national level launched by the CRM and CIRANO, offers over the weeks, traditional games from different periods of history and different countries:

- a brief history
- the rules of the game
- an analysis of these games in relation with mathematics
- questions you can ask the children you play with

It's up to you!

Towards a dynamic model of 'dramatic' social change: news from PhysNum, the Numerical Physics laboratory of the CRM

The team of Roxane de la Sablonnière (Department of Psychology of the Université de Montréal) in collaboration with Jean-Marc Lina (École de technologie supérieure de Montréal), member of the CRM, recently received $ 350,000 from Canadian Institutes of Health Research to study the response of Canadians to the COVID-19 pandemic. They have developed a dynamic model of 'dramatic' social change. Data collection is underway and modeling of what is currently happening

Étudier l'effet des politiques publiques sur les préjugés et les processus d'adaptation à la crise de la COVID-19
UdeMontréal Forum, April 23, 2020

Videoconference of Lai-Sang Young (Courant Institute of Mathematical Sciences, New York University) on our YouTube Channel

Videoconference of Alex Townsend (Cornell University) on our YouTube Channel

CRM Expert Team in Epidemiology and Public Health

The CRM is establishing an alliance of community forces to highlight research in the mathematics and the statistics of epidemiology and public health. This initiative by our director Luc Vinet and our deputy director Jean-Philippe Lessard is part of a concerted effort to understand and control COVID-19. In addition, many researchers involved are working on a wider range of viral diseases.

The members who have already accepted are:

  • - Jacques Bélair (Université de Montréal)
  • - Marie-Claude Boily (Imperial College London)
  • - David Buckeridge (McGill University)
  • - Morgan Craig (Université de Montréal)
  • - Mathieu Maheu-Giroux (McGill University)
  • - Benoît Mâsse (École de santé publique)
  • - Simon de Montigny (Université de Montréal)
  • - Erica Moodie (McGill University)
  • - Louis-Martin Rousseau (Polytechnique Montréal)
  • - Alexandra M. Schmidt (McGill University)
  • - Dave Stephens (McGill University)
  • - Guy Wolf (Université de Montréal)

Mathematics in the COVID-19 Fight : News from the Mathematical Modelling of COVID-19 Task Force

Photo of Jacques Bélair

Several universities around the world are setting up teams of researchers to model the Covid-19 pandemic. The goal of this research is to help hospitals and health systems in each country to predict the impact of such a crisis. Jacques Bélair, member of the Centre de recherches mathématiques (CRM), is part of the Mathematical Modelling Rapid Response Task Force, a group set up in February 2020 when Covid-19 was knocking on Canada's doors.

Learn more

John H. Conway, 1937-2020

This legendary mathematician distinguished himself in discrete mathematics, group theory and his love of games, including his famous "game of life", a cellular automaton. He died on April 11, 2020 from complications related to coronavirus.

Video memories and photos of his visit to the CRM, September 27, 2017

Photo de John Conway
Photo: Denise Applewhite, Office of Communications, Princeton University.

A new video conference on Friday April 17, 2020 with Lai-Sang Young (Courant Institute of Mathematical Sciences, New York University)

Colloque des sciences mathématiques CRM-ISM

Photo of Lai-Sang Young

TITLE: Observable events and typical trajectories in finite and infinite dimensional dynamical systems

DATE: Le vendredi 17 avril 2020 à 16 h

PLACE: Zoom meeting

Direct link: https://umontreal.zoom.us/j/170851981?pwd=b1ZxMWM0Z3Q0d3I5ZHJUS0FUZEY5QT09

Meeting ID: 170 851 981

Password: 942210


The terms "observable events" and "typical trajectories" in the title should really be between quotation marks, because what is typical and/or observable is a matter of interpretation.

For dynamical systems on finite dimensional spaces, one often equates observable events with positive Lebesgue measure sets, and invariant distributions that reflect the large-time behaviors of positive Lebesgue measure sets of initial conditions (such as Liouville measure for Hamiltonian systems) are considered to be especially important. I will begin by introducing these concepts for general dynamical systems -- including those with attractors -- describing a simple dynamical picture that one might hope to be true. This picture does not always hold, unfortunately, but a small amount of random noise will bring it about. In the second part of my talk I will consider infinite dimensional systems such as semi-flows arising from dissipative evolutionary PDEs.

I will discuss the extent to which the ideas above can be generalized to infinite dimensions, and propose a notion of "typical solutions".



Henri Darmon (henri.darmon@mcgill.ca)

Jean-François Coeurjolly (coeurjolly.jean-francois@uqam.ca)


Home Archives

CRM Laboratories

Mathematical Analysis
Both classical and central to modern mathematics, mathematical analysis lies at the core of our understanding of any continuous system. The mathematical analysis laboratory has undertaken in-depth studies of dynamical systems, partial differential equations and spectra of operators.

The objective of CAMBAM (Center for Applied Mathematics in Bioscience and Medicine) is the application of mathematics to address biological challenges across all levels of biological organisation ranging from the molecular/genetic through single cell and whole organ physiology to population and ecosystem dynamics.

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

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

GIREF gathers researchers and research groups from several academic institutions in order to facilitate research, development, training of specialists and interaction with the industrial circles in the field of modeling an numeric simulation.

Founded in 1982, LaCIM is one of the principal research center in combinatorics, algebraic combinatorics and theoretical computer science on the international scene.

Applied Mathematics
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.

Mathematical Physics
Mathematical physics represents one of the traditional strengths of the CRM since the beginning of the 1970's. Research focus on several of the most active scientific areas in mathematical physics.

Montreal Institute for Learning Algorithms (MILA)
Artificial intelligence and machine learning are dynamic and ever-expanding disciplines. The incorporation of MILA into the CRM will give the CRM a more important role within the so-called “digital strategy” of the Québec government.

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.

Probability lab members pursue research in a broad range of areas, spanning theoretical and applied, continuous and discrete probability. A particular focus is on the development and analysis of probabilistic models for real-world phenomena from physics, biology, statistics and computer science.

The Actuarial and Financial Mathematics Laboratory is an inter-university group of researchers focused on the mathematics of actuarial science and finance. Its research activities are concentrated on the applications of probabilistic and statistical techniques to analyze random events with financial impact.

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.