When most people think of medical imaging modalities such as CT, MRI, or ultrasound scans, they probably don't think about mathematicians being involved in the development of these important life-saving technologies. But in fact, the field of computational medical imaging is a highly active area of research in applied mathematics, and all medical imaging technologies are based on fascinating underlying mathematics. Medical imaging is part of a large and dynamic field of applied mathematics known as "inverse problems." This talk will provide an introduction to the idea of an inverse problem, and we will touch on the mathematics behind a few modern medical imaging technologies, including my own area of research, Electrical Impedance Tomography (EIT).
This talk is part of the Pi Mu Epsilon Induction Ceremony which begins at 4pm. The talk should be accessible to a general mathematical audience.