Project Grant 2347868

This $335,956 Project Grant was awarded by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The funding will support research at the University of Washington centered on the study of inverse problems, particularly those involving transport-type partial differential equations. The project will focus on developing a geometric framework and tools to facilitate the reconstruction of internal structure from local or boundary measurements, including applications in areas like X-ray computed tomography, geophysical prospection, and parameter identification for partial differential equations. The research also aims to characterize distinguished solutions to transport problems, with potential implications for resolving longstanding geometric inverse problems. The project will provide research and training opportunities for graduate and undergraduate students, and is expected to be completed by June 30, 2027.