On February 12 and 19, 2025, Emmanuel Royer gave two one-hour presentations to the fourth and high school students of Collège Stanislas in Montreal (a French school abroad under AEFE). The purpose of the presentation was to make sense of counting prime numbers after demonstrating that there are infinitely many, and then to explore the distribution of prime numbers.

Professor at Université Clermont-Auvergne, Emmanuel Royer is hosted on a delegation for institutional functions by CNRS, to lead the CRM-CNRS.

On January 24, 2025, Emmanuel Royer gave a two-hour talk to Terminale students enrolled in the advanced mathematics specialization at Collège Stanislas in Montréal (a French school abroad of the AEFE network). The aim of the talk was to show how a topic in the arithmetic curriculum—Fermat’s little theorem—although dating back to 1640, underwent 20th-century extensions that underpin today’s secure Internet communications.

A full professor at the Université Clermont-Auvergne, Emmanuel Royer is on CNRS institutional delegation to direct the CRM-CNRS.

On January 23, 2025, a group of mathematicians from the CRM-CNRS (Michèle Couderette, Sébastien Darses, and Emmanuel Royer) visited Collège Stanislas in Montréal (a French school abroad of the AEFE network) to discuss the French and Québec mathematics curricula with the school’s mathematics program coordinator, Antoine le Gouëfflec.

Hosted on long-term CNRS delegation at the CRM-CNRS, Michèle Couderette is an associate professor at the Université Paris-Est Créteil.

Hosted on long-term CNRS delegation at the CRM-CNRS, Sébastien Darses is an associate professor at Aix-Marseille Université.

On January 22, the students of Collège Stanislas in Montréal (a French school abroad of the AEFE network) attended an hour of “hands-in-pockets mathematics.” Ten-minute flash talks were given by CRM-CNRS scientists to troisième students (two one-hour sessions) and to students in Seconde, Première and Terminale (French lycée levels) (one one-hour session). The aim was to present a mathematical topic in a relaxed way with minimal written support, in particular to give students ideas for oral exam topics for the Diplôme national du brevet and the Baccalauréat.

On Wednesday, January 15, 2025, the director of CRM-CNRS met with Mr. Nicolas Douay, the Scientific and University Cooperation Attaché at the French Consulate General in Quebec (Montreal).

This meeting provided an opportunity to present the international laboratory CRM-CNRS; to discuss the scientific positioning of France in Quebec, the challenges of mathematical cooperation in Quebec; and the role of mathematics at CNRS and the important role played by the National Institute of Mathematical Sciences and their Interactions in the French mathematical community.

Starting January 1, 2025, and for one year, the CRM-CNRS welcomes Nicolas Crampé.

Nicolas CRAMPÉ

Researcher, CNRS

01/01/2025 – 12/31/2025

After graduate studies at the École Supérieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI Paris), Nicolas Crampé completed a PhD at the Laboratoire d’Annecy de Physique Théorique (LAPTh) at Université de Savoie. Recruited by CNRS in 2009, he has worked at Université de Montpellier and, since 2018, at Université de Tours. A specialist in exactly solvable systems and representation theory, Nicolas Crampé uses algebraic tools to explore the symmetries underlying various physical problems. His research focuses on calculating entanglement entropies in quantum mechanics, evaluating mean values in non-equilibrium statistical models, and spectral analysis of Hamiltonians. More recently, he has also become interested in certain special functions and their role in the study of algebra representations, association schemes, and quantum integrable models.

Arrived on July 1^st, 2024, Denis Grebenkov left the CRM-CNRS (IRL3457) on December 31, 2024.

During his stay, he was able to initiate projects with

• L. Bundrock (University of Alabama, United States of America);
• A. Girouard (Laval University);
• D. Kinzebulatov (Laval University);
• M. Levitin (University of Reading, UK);
• I. Polterovich (University of Montreal).

He also took advantage of his stay to expand his scientific network to University of British Columbia and Simon Fraser University.

On Friday, November 22, 2024, the director of CRM-CNRS met with the director of the mathematics department at the University of Ottawa, Alistair Savage.

The main tools for mathematical cooperation between France and CRM partners, including the University of Ottawa, were detailed:

• the reception at CRM-CNRS of scientists working in France “assigned on delegation” thanks to joint funding from CNRS and the employer of the assigned person;
• the support program for the international laboratory of the Quebec Research Fund in four pillars:
  • receptions of mathematicians coming from France,
  • long-term research stays in France for CRM members,
  • participation in scientific events in France by CRM members,
  • research internships for students.

The website presenting all cooperation opportunities in mathematics between France and Canada was presented.

On Friday, November 22, 2024, the director of CRM-CNRS met with the director of the CNRS office in Canada, Jan Matas.

This meeting was an opportunity to discuss the positioning of CNRS in Canada, mathematics in Canada, the role of mathematics at CNRS, and the important role played by the National Institute of Mathematical Sciences and their Interactions in the French mathematical community.

On Friday, November 22, 2024, the director of CRM-CNRS met with Mr. Jean-François Doulet, the Scientific and University Cooperation Attaché at the French Embassy in Ottawa.

This meeting provided an opportunity to present the international laboratory CRM-CNRS; to discuss the scientific positioning of France in Canada, the challenges of mathematical cooperation in Canada; and then the role of mathematics at CNRS and the important role played by the National Institute of Mathematical Sciences and their Interactions in the French mathematical community.

The CRM-CNRS will hold its internal seminar on November 12, 2024, from 9 a.m. to 1 p.m. in room 4336 of the Aisenstadt Pavilion (Université de Montréal).

Four scientific talks will be given by:

• Denis Grebenkov
• Sophie Dabo-Niang
• Antoine Zurek
• Nicolas Bousquet.

Program

9:30 a.m.: Antoine Zurek

Some theoretical and numerical results for local and nonlocal diffusion systems

In this talk, I will provide a brief overview of my research on parabolic PDEs. First, I will present some results related to the numerical analysis of the local and nonlocal Shigesada-Kawasaki-Teramoto (SKT) cross-diffusion system. Next, I will introduce and explain the main ideas behind the Computer-Assisted Proofs (CAP) approach. These methods can be powerful tools to study some PDEs when more classical techniques do not yield results. As an example, I will briefly explain how these techniques allow us to obtain the first existence result for the so-called Diffusion Poisson Coupled Model (DPCM).

On Monday 11. November 2024, the director of CRM-CNRS met with Ms. Janice Bailey, the Vice-President for Research – Scientific Direction in the Nature and Technologies sector of the Fonds de recherche du Québec (FRQ).

The meeting was an opportunity to thank the FRQ for its significant efforts in promoting cooperation in mathematics between Quebec and France, particularly through a grant to the Centre de recherches mathématiques (CRM) for this purpose.