Title: Mathematics of medical imaging

Abstract: In this talk I will attempt to give the attendees the idea of why and what kind of mathematics is involved into
contemporary medical imaging. Most of you have probably heard of CAT scan, MRI, and maybe some other its modalities.  However, it
is not that often that people know that tomographic images are not actually real images, but rather results of intricate
mathematical procedures. Thus, very advanced mathematics plays a huge role. The mathematics of this subject is beautiful and
diverse. Just to give you an idea, it deals in particular with differential equations and differential and integral geometry, group
representations and harmonic analysis, numerical analysis and computer programming. This is what has kept the speaker and many
others hooked up on tomography. Several brand new cheap, effective, and safe tomographuic methods are being developed by engineers
right now, which requires new mathematical techniques. In particular, the speaker and Prof. Wolfgang Bangerth are starting a new
project on this.