I delivered a talk entitled Electrical impedance tomography and complex geometric optics solutions: new perspectives at the RIMS Symposium Theoretical and numerical approaches for inverse problems in Kyoto, Japan, on January 21, 2025. RIMS is the Research Institute for Mathematical Sciences on the Kyoto University campus. There is a recurrent inverse problems workshop taking place
My student Alexander Meaney defended his PhD thesis Variational Regularization Methods and Open Data for Image Reconstruction in Computed Tomography on January 15, 2025 at University of Helsinki. His opponent was Professor Silvia Gazzola from University of Pisa. .
Inspired by our new FAME Flagship consortium, I put together a writing team for reviewing the amazing history and present highlights of Finnish inverse problems research. The piece was just published in SIAM News. You can take a look here: SIAM News article.
I gave a talk in the applied math seminar at Virginia Tech. My topic was Electrical Impedance Tomography and Virtual X-rays. You can get my slides here: PDF 47MB. My colleague, Assistant Professor Mirjeta Pasha was a wonderful host. She showed me around the campus and introduced me to the Applied & Computational Math research
I spent October of 2024 at Colorado State University visiting Professor Jennifer Mueller. Our collaboration goes back already 27 years! We are writing another book together, and this trip gives a good boost to the book project. According to my calculations, this is my 15th visit at CSU. The first one was in year 2000
I had the honor to deliver the Arnold Lecture 2024 on October 3, at Gonzaga University in Spokane, WA, USA. The talk was aimed at a general audience, and my topic was The magic of math: three-dimensional X-ray vision. Here are my talk slides: PDF 140MB. I got excellent questions from the crowd, and this
I delivered a public talk on the mathematics of AI – in a Cleveland church turned into a lecture hall of Case Western Reserve University! A bit different vibe than in usual venues. 😂 And I guess I was kind of preaching to the choir… My title was How does AI detect cats in photos
During my September visit I delivered a scientific talk at the Computational Mathematics Seminar at the Flatiron Institute. My topic was Electrical impedance tomography and virtual X-rays, and you can download my slides here: PDF 53MB. Abstract: Electrical Impedance Tomography (EIT) is a nonlinear PDE-based imaging modality where a patient is probed with harmless electric
I gave a public talk about the math of artificial intelligence (AI) at MoMath on September 19, 2024. My goal was two-fold: first of all, to show that modern AI methods are based on elementary school mathematics such as addition and multiplication. Second, I wanted to give audience an idea about “convolution”, the key ingredient
My series of video lectures about X-ray tomography took the important step to explaining how to treat real measured data. I put two simple pieces of material into an X-ray device and show what happens when we try to calculate Radon transform-like line integrals from the pixel values. You can watch the video in YouTube
