The “Laboratoire d’Excellence” Centre Européen pour les Mathématiques, la Physique et leurs interactions (CEMPI), a project of the Laboratoire de Mathématiques Paul Painlevé and the Laboratoire de Physique des Lasers, Atomes et Molécules (PhLAM) in Lille, was created in the context of the “Programme d’Investissements d’Avenir” in February 2012 (the French excellence initiative). It has been extended in 2019 and distinguished as one of the “projets-phare” of the Agence Nationale de la Recherche (the organization that runs governmental research programs in France).

The collaboration Painlevé-PhLAM federates forces for fundamental and applied research, for training, and for technological development in a wide spectrum of knowledge that stretches from pure and applied mathematics to experimental and applied physics.

Every year, CEMPI welcomes a number of scholars to contribute to its scientific activities through their participation in the conferences, workshops and seminars, and the development of common research with the CEMPI permanent researchers.

The training of mathematicians and physicists at the graduate and post-graduate level is also an important aspect of the activities of CEMPI.

Every year, CEMPI provides a number of fellowships to students enrolling in one of its master’s programs, a number of PhD fundings and post-doctoral positions.

**The CEMPI RESEARCH program is mainly devoted to three focus areas:**

##### DYNAMICS

This focus area is concerned with key problems of a mathematical and/or physical nature in which the dynamic plays a key role. These problems may come from the development of innovative optical fibres for telecommunication links and high-power lasers, from the complex behaviour in cold atoms physics and non-linear optics, from the statistical mecanics, from geometrical group theory, and from functional analysis.

##### TOPOLOGY AND APPLICATIONS

This focus area is concerned with topological questions, which naturally arise, on the one hand, in the study of the matter and, on the other hand, in applications of homotopical methods in arithmetic and representation theory.

##### BIOLOGY/MODELISATION STOCHASTIC/DATA SCIENCE

The third area focus~~s~~es on scientific problems where probabilistic and statistical approaches play an important role. It is concerned with deterministic and/or probabilist dynamic of population, in ecology, and in cellular biology, as well as Data Science and machine learning via determinantal processes.