This $300,000 Project Grant awarded by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research on inverse boundary value problems and their applications in areas such as medical imaging, geophysics, and nondestructive testing. The key research involves three main topics: 1) electrical impedance tomography (EIT) to determine the conductivity of a medium from boundary measurements, 2) travel time tomography to determine an anisotropic Riemannian metric from boundary travel times, and 3) inverse problems for nonlinear hyperbolic equations. The research will also investigate using wave interactions to gather information about probed objects. This award, with a performance period from August 2024 to July 2027, will fund the research activities and train graduate students at the University of Washington.
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