BIGMATH aims to train a group of young, creative mathematicians with strong theoretical and practical skills, necessary to tackle the major challenges of the Big Data era. They will also be trained in a wide set of “soft skills” that enable them to transfer effectively their knowledge to the productive world, thus fostering the European market to create innovation. These abilities will result from a close partnership between the academy, providing the students with up-to-date training and knowledge on cutting-edge research on targeted mathematical disciplines, and a group of industries, who will complete the competences of the ESRs by exposing them to a set of Big Data-related real industrial problems. The main domains of interest of the BIGMATH project lie in the areas of optimization, statistics, and large-scale linear algebra for Big Data, which are the most relevant mathematical topics for effective machine learning techniques and ability to build good data-driven products.