The PhD program is organized under the Department of Mathematics and Geosciences at the University of Trieste, with collaborations from the Department of Economic, Business, Mathematical, and Statistical Sciences; the Department of Political and Social Sciences; the Department of Physics; the Department of Engineering and Architecture; the Department of Medical, Surgical, and Health Sciences; the Department of Life Sciences. External collaborating institutions include Area Science Park, ICTP, and INAF. Additionally, several private firms are involved, some of which have representatives on the Academic Board. The program is supported by an Academic Quality Group, ensuring a comprehensive and structured academic experience.