The National Science Foundation (NSF) awarded a $399,625 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to California State University Channel Islands (CSUCI), a Hispanic-Serving Institution. The grant aims to explore the intersections of nonlocal vector calculus and the mathematics of intelligences, which are foundational to understanding complex systems and intelligent phenomena in nature and technology. The research will contribute to fields ranging from artificial intelligence to natural and cognitive sciences by advancing mathematical theories and models. The project also seeks to train the next generation of mathematicians and scientists, fostering community, diversity, and inclusion through the involvement of graduate and undergraduate students at CSUCI. The research objectives focus on conducting investigations at the intersections of nonlocal analysis, dispersive PDEs, and the mathematics of intelligences, with the goal of formulating new theoretical models, proving significant properties, and applying these models to problems in both artificial and natural intelligent systems. The funding period runs from September 1, 2024 to October 31, 2026.