The expansion of Artificial Intelligence (AI), in the broad sense, is one of the most exciting developments of the 21st century. This progress opens up many possibilities but also poses grand challenges. The center "Wallenberg AI, Autonomous Systems and Software Program" (WASP) is launching a program to develop the mathematical side of this area. The aim is to promote the competence of Sweden as a nation within the area of AI. We are taking part in this program through four research projects: