IRMA teams

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Advanced Mathematics Research Institute (UMR 7501) IRMA has a specific place in French mathematics as the first UMR (Unité Mixte de Recherche) of CNRS. It encompasses all mathematicians at Université de Strasbourg : a community of about 100 researchers and professors working at the University or at the research institutions CNRS and INRIA. The HCERES evaluation report of 2017 notes the relatively recent diversification of the mathematical research themes, so that now almost all mathematical subjects are present, from the most theoretical to the most applied. According to this report, “IRMA is one of the best research labs at the international level in several mathematical domains”. It also highlights:

a high production of top-level research papers published in the most prestigious mathematics journals;
honours and awards at the local, national and international level (N. Anantharaman’s Infosys Prize and CNRS Silver medal, 3 Ourisson prizes, MésoChallenge prize for the Feel++ developers’ team, J.P. Wintenberger’s Cole prize in Number Theory,…). Four members were invited in the last three ICMs (International Congress of Mathematicians) as plenary or sections speakers, four members are or were fellows of the Institut Universitaire de France since 2012. IRMA hosts several ANR projects (6 as coordinator and 8 as partner on the period 2013-2018). The lab also takes part in several CNRS GDR (Groupement de Recherche), 4 of them were coordinated by IRMA members (in the period 2013-2018).
numerous international collaborations, including several research contracts with Japan, PICS (Projet International de Coopération Scientifique) with Croatia, Germany, USA, GDR-E GRIFGA with Italy, NSF GEAR contract…
IRMA hosts an Inria team (CALVI, then TONUS) since 2003, which certifies the excellence of the applied mathematics team in modeling and scientific computing.

External link to IRMA website

The 7 IRMA teams are associated to the IRMIA++ Institute :

Pure mathematics teams Algebra, topology, quantum groups and representations team, Analysis team, Arithmetics and algebraic geometry team, Geometry team

The teams of pure mathematics have obtained internationally recognized results:

proof of Kobayashi’s conjecture on the hyperbolicity of high degree hypersurfaces (Brotbek, Publ. IHES, Inventiones); construction of Gromov-Witten’s invariants for non-archimedean varieties (Porta); proof of Grothendieck’s standard conjectures for abelian 4-dimensional varieties (Ancona);
study of delocalization for Schrödinger operators on tree-like graphs (Anantharaman-Sabri, Annals of Math.); study of spectral properties of quantum spin systems or more general Berezin-Toeplitz operators (Le Floch); results on the differential transcendence of the generating series of certain random walks in a quadrant (Dreyfus et al., Inventiones);
development of higher Teichmüller theory by the groups of Fock, Guichard and Papadopoulos;
new results in the representation theory of preprojective algebras, using affine Mirkovic-Vilonen polytopes (Baumann, Publi. IHES); development of the theory of functor homology (Djament-Vespa).

Applied mathematics teams Modelling and control team, Probability team, Statistics team

In applied mathematics,

the MoCo team hosts the Inria TONUS team working on plasma physics. In this context, several collaborations have been conducted with astrophysicists (MHD simulations by Lattice Boltzmann methods), computer scientists (2 joint PhD supervision with the Inria CAMUS team on scientific software optimizations), physicists (joint publications on plasma physics applications);
new research has started on hot deep learning subjects, partly with ICube. The team was awarded an Inria grant in 2019 for a PhD on machine learning applied to optimized numerical methods. The team was also awarded a PEPS CNRS (Projet Exploratoire Premier Soutien) and an NVIDIA support for such studies;
the team also has an important activity around fluid mechanics and medical applications (for instance, the Eye2Brain project is an international collaboration between mathematicians, medical doctors, computer scientists and physicists to model blood flow in the brain and the eye and use them for medical diagnosis); in the simulation of high magnetic fields with LNCMI (Laboratoire National des champs magnétiques intenses);
the statistics team work on non-parametric statistic, extreme-value theory, dimension reduction, Bayesian methods, censoring methods. The interaction between this team and the other laboratories of the university or industries are very diverse due to the consulting services proposed by CeStatS;
there are numerous collaborations with private companies through the Cemosis, CeStatS and master of Actuarial Science. These collaborations are based on research contracts or CIFRE thesis (5 CIFRE PhD since 2013).