I had the honor to deliver a keynote address in the Science on Stage Festival in Turku, Finland, on August 15,2024. The title of the talk was The magic of math: three-dimensional X-ray vision. You can see the recording in YouTube.
The lecture slides are available here in PDF format.
Abstract: In the 1970’s, a new X-ray based innovation was introduced. Tomography, or slice imaging, revealed the inner structure of a patient point by point as a three-dimensional map of tissues. This opened up a new world for doctors as they could do precise diagnosing based on these “CAT-scans.” Tomography is based on recording X-ray images of the patient along many directions, and then using mathematics in a clever way for combining the information into a 3D image. This talk explains that process in simple terms. An important research topic in modern mathematics is to look for a way to do tomographic imaging with the least possible amount of radiation dose to the patient. Or to compensate for incomplete measurements caused by restrictions in the imaging arrangement. This is based on a process called regularisation, also illustrated in the talk in an easy-to-understand way. Also: there is a fun quiz revealing natural tomographers among the audience.
In case you are interested in learning more, check out my two YouTube playlists:
Tomography 100
Tomography 200