The National Science Foundation (NSF) has awarded a $183,980 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the University of Arizona for a 3-year research project titled "Theoretical and Algorithmic Foundations of Novel Medical Imaging Modalities." The research aims to develop advanced mathematical techniques and efficient numerical algorithms to enable new medical imaging modalities, such as photoacoustic tomography, thermoacoustic tomography, magnetoacoustoelectric tomography, and ultrasound current density imaging. These emerging techniques offer improved diagnostic capabilities compared to classical tomography at lower cost and risk to patients. The project will involve collaboration between the principal investigator, domain scientists, and a graduate student to resolve central theoretical challenges and create practical image reconstruction algorithms for these novel imaging modalities. The results will be disseminated through publications, conferences, and public data releases to advance the mathematical and applied sciences underlying these innovative diagnostic tools.