GeomeriX is an Inria project-team whise overall scientific objective is to contribute both foundational and practical methods for data processing through a geometric perspective. We aim at producing modern computational tools for the furtherance of scientific exploration, allowing the analysis, processing, and simulation of a variety of data. The project-team’s focus on geometry offers a common language and tight intellectual cohesion, while promoting wide scientific applications due to the pervasiveness of topology and geometric aspects in topics from computer graphics, simulation, dynamical systems, and data science.