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Come and celebrate the First International Day of Mathematics at the CRM (Pavillon André-Aisenstadt, Université de Montréal). The theme of this year is : Math is everywhere

Poster of International Day of Mathematics 2020

Thematic Semester: The Mathematics of Decision Making, January-June 2020


Optimization under uncertainty

from March 23rd to 27th, 2020

Aisenstadt Chair Éva Tardos lecture¿s video Learning In Games

Louis Nirenberg, 1925-2020


Louis Nirenberg, a world leader in geometric analysis and partial differential equations, passed away on January 26 at the age of 94. He was born in 1925 in Hamilton, Ontario. After Louis¿s family moved to Montréal, he attended Baron Byng High School, followed by McGill University. In 1949 Louis Nirenberg received a Ph.D. from New York University, where he later became a professor at the Courant Institute. His fundamental contributions include the pioneering work on nonlinear PDE techniques in global differential geometry, the Gagliardo-Nirenberg inequalities in the theory of Sobolev spaces, the Agmon-Douglis-Nirenberg theory of elliptic boundary value problems, the John-Nirenberg space of functions of bounded mean oscillation (BMO), the Kohn-Nirenberg theory of pseudo-differential operators, and the Newlander-Nirenberg theorem in complex geometry. Louis Nirenberg has been recognized for his research achievements with numerous prizes and awards, such as the Abel Prize, the Crafoord Prize and the National Medal of Science.

In 2014, the CRM has established an annual lecture series in geometric analysis in honour of Louis Nirenberg. It was a privilege and a pleasure to have him attend this event for several years. His mathematical insight, kindness, and an unmatched sense of humour will be greatly missed.

For more informatinon:

Dusa McDuff appointed Chair of the International Scientific Advisory Committee (ISAC) of the CRM


Dusa McDuff is the Helen Lyttle Kimmel '42 professor of Mathematics at Barnard College at Columbia University in New York and she has brilliantly served on the CRM's ISAC since 2013. Her appointment to the presidency is now for a 4-year term. We know that she will much contribute to making the CRM excel. She replaces Gérard Ben Arous who leaves his role as president and his seat on the ISAC. We wish to express to him heartfelt thanks. He will have been the first external Chair of our ISAC and for close to seven years he will have remarkably contributed to the advancement of the CRM. This institute is much indebted to him and very grateful for his outstanding support.

Bravo Ruth Charney!


On December 4 2019, the American Mathematical Society (AMS) announced the nomination of Ruth Charney (Brandeis University) as President Elect.

We congratulate Ruth for this prestigious and important appointment. This testifies to how much she cares about our community and to the esteem in which she is held.

Thank you Ruth for maintaining your involvement in the CRM International Scientific Advisory Committee (ISAC) in spite of your important additional responsibilities as President of the AMS.

Cole Prize is awarded to James Maynard Oxford research professor


Oxford Mathematician James Maynard, a CRM-ISM postdoctoral fellow 5 years ago, has won the Cole Prize in Number Theory for his contributions to prime number theory. In particular, the prize recognizes three papers, published between 2015 and 2019. Two of them were written while he was a CRM-ISM postdoc with Andrew Granville. The Cole Prize, presented by the American Mathematical Society (AMS) is a top world prize in number theory, and has now been won twice in a row by CRM's number theorists, Henri Darmon in 2017 and James Maynard now.

James Maynard is receiving the 2020 prize on Thursday, January 16 during the Joint Prize Session at the 2020 Joint Mathematics Meetings in Denver.

First Aisenstadt Chair Éva Tardos Lecture

As part of the Thematic Semester: OPTIMIZATION 2020, The Mathematics of Decision Making


Éva Tardos
Jacob Gould Schurman Professor
Department of Computer Science
Cornell University

Friday, January 17, 2020, 2:00 pm
Pavillon André-Aisenstadt, room 6214/6254

Conference: Learning in Games

Selfish behavior can often lead to suboptimal outcome for all participants, a phenomenon illustrated by many classical examples in game theory. Over the last decade we developed good understanding on how to quantify the impact of strategic user behavior on the overall performance in many games (including traffic routing as well as online auctions). In this talk we will focus on games where players use a form of learning that helps them adapt to the environment, and consider two closely related questions: What are broad classes of learning behaviors that guarantee high social welfare in games, and are these results robust to situations when game or the population of players is dynamically changing.

Research interests:

Algorithms and algorithmic game theory, the subarea of theoretical computer science theory of designing systems and algorithms for selfish users. Her research focuses on algorithms and games on networks and simple auctions. She is mostly interested in designing algorithms and games that provide provably close-to-optimal results

Éva Tardos will be at the CRM from January 17, 2020 to give her 1st conference from the Aisenstadt Chair. A second lecture will be held in April 2020. Details to come.

Video of the Persi Diaconis conference

As part of the Grandes conférences publiques of the CRM, Persi Diaconis gave a conference on November 27, 2019 entitled Adding Numbers and Shuffling Cards.

Video of the conference on our site and on YouTube: (if you missed it or... if you want to see it again)


From left to right:

Alejandro Adem, President of NSERC; Roseann Runte, CEO of the Canada Foundation for Innovation (CFI); Marie-Josée Hébert, Vice-rectrice à la recherche, à la découverte, à la création et à l'innovation at UdeM; Persi Diaconis, Professor of Mathematics and Statistics at Stanford University; Janice Bailey, Scientific Director of FRQNT and Luc Vinet, Director of CRM.

For the advancement of mathematics: the beginnings of the En avant math! project


Researchers from CRM and CIRANO are embarking on an ambitious project, promoting and puting forward the mathematical sciences from preschool to university including the general public.

A site: enavantmath.org

A million to give Quebecers a taste for mathematics

The recipe to make mathematics more enjoyable

Video of the En avant math! project announcement on November 28, 2019 on our site and on YouTube

Three components:

  • - The CRM and CIRANO will produce a series of analyzes that will provide evidence to feed the reflection.
  • - An advisory committee made up of key players in Quebec society to lead the reflection.
  • - A call for proposals of field activities for all audiences in Quebec open now until February 15, 2020. Click here to submit a project: L'avenir est mathématique.

Christiane Rousseau leads UNESCO to establish the International Day of Mathematics


March 14 is proclaimed the International Day of Mathematics by UNESCO since November 25, 2019, thanks to the initiative of Christiane Rousseau who has been leading this initiative since the beginning. Christiane Rousseau is a member of the CRM and a newly retired professor in the Department of Mathematics and Statistics at the Université de Montréal. See the article from the Forum of udemnouvelles.

The 2020 theme will be "Mathematics is everywhere", for example, in the selected date. Indeed, March 14 is already celebrated in some countries as the Day of Pi, since March 14 is also written 3/14, which corresponds to the approximation 3.14.

Thus, mathematics are even in the chosen date!

For more info: idm314.org

2020 CRM-Fields-PIMS Prize Recipient

SulemProfessor Catherine Sulem of the University of Toronto is the winner of the 2020 CRM-Fields-PIMS Prize.  | Read more

Olivier Lafitte, new CNRS Director of the UMI-CRM in Montréal


Olivier Lafitte is professor at the Galilée Institute of Paris 13 University in Villetaneuse since 2001. His areas of interest are varied, around partial differential equations and ordinary differential equations. He has been collaborating with Montréal colleagues for a long time. At the direction of the UMI-CRM (created in 2011 and co-led by the director of the CRM, Luc Vinet), Olivier Lafitte's mission is to develop collaborations and exchanges between the French and Québec mathematical communities. Research teams, who have or want to set up projects, are invited to contact him at lafitte@crm.umontreal.ca or 514-343-6111, extension 4726.


Launched in 1991 by the Centre de recherches mathématiques (CRM), the André-Aisenstadt Prize offers talented young Canadian mathematicians a scholarship and medal for outstanding research achievements.


The recipient is invited to deliver a lecture at the CRM and to write a brief article on his or her work for publication in the Bulletin of the CRM.

An international jury

The CRM's International Scientific Advisory Committee advises the CRM on all its major scientific orientations and chooses the recipient each year. The last recipient, Yaniv Plan, will give his lecture on November 15, 2019 at 4 pm in room 6214 at Pavillon André-Aisenstadt.

Deadline: March 1st, 2020

Please, submit the files to the email: candidature@crm.umontreal.ca | Awarding rules |

Bruno Rémillard, SSC Gold Medalist 2019

remillard This year’s recipient of the Gold Medal of the Statistical Society of Canada is Bruno N. Rémillard. This prestigious award is bestowed upon a person who has made outstanding contributions to statistics, or to probability, either to mathematical developments or in applied work. It is intended to honour current leaders in their field. Bruno Rémillard is professor at HEC Montréal and member of the CRM Statistics laboratory. Professor Rémillard was also nominated IMS Fellow for 2019. | Read more

Dimitris Koukoulopoulos makes waves by proving the celebrated Duffin-Shaeffer conjecture

KoukoulopoulosandMaynard Professor Dimitris Koukoulopoulos, a member of the CICMA lab of the Centre de recherches mathématiques (CRM) and Professor in the Mathematics Department of the Université de Montréal, has caused a sensation by proving the long-standing Duffin-Schaeffer conjecture in collaboration with Professor James Maynard from Oxford University. The Duffin-Schaeffer conjecture is a vast generalization of Liouville's famous theorem on the approximation of real numbers by rational numbers. Formulated in 1941, it had long resisted the efforts of the best researchers and its proof represents a milestone in metric diophantine approximation. Koukoulopoulos and Maynard were postdoctoral researchers at the Centre de recherches mathématiques, from 2010 to 2012, and from 2013 to 2014 respectively, under the supervision of Professor Andrew Granville of the Université de Montréal. Their proof involves the "pretentious" perspective in analytic number theory pioneered by Granville in collaboration with Professor Kannan Soundararajan of Stanford University.

Other references on this breakthrough :
Wired | Wikipedia | UdeM Nouvelles | Scientific American | Quanta - September 26, 2019 | Science et Vie - September 21, 2019 | Trust my science - September 17, 2019

Thomas J. Bothner: winner of the 2019 Gábor Szegö Prize

The Centre de recherches mathématiques would like to congratulate Thomas J. Bothner on the 2019 Gábor Szegö Award just given to him at the 15th OPSFA Symposium (Orthogonal Polynomials, Special Functions and Applications) which took place in Hagenberg, Austria. Thomas J. Bothner is Professor at the Department of Mathematics at King's College London. He was a CRM-ISM Postdoctoral Fellow from 2013 to 2015. The SIAM Activity Group on Orthogonal Polynomials and Special Functions (SIAG/OPSF) awards the Gábor Szegö Prize every two years since 2011 to an early career researcher for outstanding contributions. Thomas J. Bothner was very happy to receive this prize.

Jean-Philippe Lessard nominated deputy director of scientific activities at the CRM

Lessard On July 1, Jean-Philippe Lessard, professor at McGill University, was nominated deputy director of scientific programs for a two-year term. His research interests include applied mathematics, numerical analysis and partial differential equations. He replaces Louigi Addario-Berry, who has been a brilliant member of the CRM management team since 2015. We extend our sincere thanks.

Creation of the Endowment Fund Robert Langlands

The Centre de recherches mathématiques (CRM) of the Université de Montréal is proud to announce the creation of the Robert Langlands Endowment Fund. This fund will finance CRM activities promoting the use of the French language. These activities include training and research in mathematics in Quebec and Canada. | En savoir plus

Renewal of the subsidy granted to the UMI-CRM

The Fonds de recherche Nature et technologies (FRQNT) has confirmed the renewal of a grant of $ 300,000 to the Unité Mixte Internationale (UMI) Centre de recherches mathématiques (CRM). | Read more

The CRM welcomes the Montreal Declaration for a Responsible Development of Artificial Intelligence

The Centre de recherches mathématiques welcomes the Montreal Declaration for a Responsible Development of Artificial Intelligence unveiled on December 4, 2018. The CRM, partner of MILA and IVADO, endorses this statement. One of its objectives is "to promote the digital transition so that everyone can benefit from this technological revolution". To this end, the CRM, in collaboration with CIRANO, has recently been mandated by the Quebec government to develop a national initiative to increase numeracy. | Read more


The Simons Foundation has awarded the Centre de Recherches Mathématiques (CRM), a grant of $976,320 (USD) for 5 years to develop a Simons CRM Scholar program. | Read more


The Director of the Quebec Research Fund - Nature and Technology (FRQNT), Janice Bailey, is pleased to present the FRQNT's Award of Excellence to Professors Yoshua Bengio of the Université de Montréal and Louis Taillefer of the Université de Sherbrooke. This award was presented on the occasion of the FRQNT Research Day held in Quebec City. | Read more

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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.