Founded more than a hundred years ago, the Institut Élie Cartan de Lorraine is one of the largest French mathematics laboratories and the largest in the Grand Est region. The laboratory covers the entire field of mathematics: it conducts research in fundamental mathematics [geometry, analysis, number theory] and in applied mathematics [probability, statistics, partial differential equations]. The institute offers a complete scientific training provided by dedicated teacher-researchers. A joint research unit (UMR 7502) of the CNRS and the University of Lorraine, IECL works in close collaboration with Inria Nancy – Grand Est with the three project-teams it hosts. The IECL is also part of the AM2i scientific cluster of the University of Lorraine, the Charles Hermite Federation and the CNRS Institute of Mathematical Sciences and their Interactions (INSMI).