In 2017, new Magnetic Resonance Imaging (MRI) devices by General Electric and Siemens received US Food and Drug Administration approval, allowing them to be used in the US Health care marketplace. The manufacturers of both devices say they are using "Compressed Sensing" (CS) and advertise speedups of 8X and 10X over traditional MRI. They say they will eventually spread the use of CS throughout all MRI applications, with a potential scope of 80 million MRI scans per year globally. This talk will review the applications and the mathematics behind this advance. It will cover the same territory as the article with the same title in the January 2018 issue of the "Notices of the American Mathematical Society." The work described was performed by many researchers across several fields.

David Donoho is Anne T. and Robert M. Bass Professor in the Humanities and Sciences at Stanford University. He is a member of the US National Academy of Sciences and a Foreign Associate of the French Academy of Sciences. He was awarded the 2013 Shaw Prize in Mathematical Sciences. Some of the Ph.D. students he has advised on theses include Jianqing Fan (Princeton) (advised jointly with P. Bickel), Jiashun Jin (Carnegie Mellon), and Emmanuel Candes (Stanford).