Jesse Railo
mathematician
Hello! This is Jesse Railo. Welcome to my homepage!
About me
I'm a mathematician working at LUT University in Lappeenranta, Finland. My research is on theoretical aspects of inverse problems for PDEs and geometry. In other words, I study pure mathematics for imaging methods appearing in medicine, engineering and science. I've worked on Radon transforms, geodesic ray transforms, inverse problems for elliptic and parabolic equations (local and nonlocal, linear and nonlinear), and numerics/applications. My work uses methods from harmonic analysis, analysis of PDEs, and differential geometry. See my latest publication records at Google Scholar and preprints at arXiv.
I obtained a PhD degree in mathematics (with distinction) from the University of Jyväskylä in December 2019 where my PhD advisor was Mikko Salo. I was a postdoctoral researcher at ETH Zurich in 2020 - 2021 where my mentor was Rima Alaifari and at the University of Cambridge in 2021 - 2023 where my mentor was Gabriel Paternain. I started in my current position at LUT University in September 2023. I'm a PI in the Flagship of Advanced Mathematics for Sensing, Imaging and Modelling (FAME) of the Research Council of Finland 2024 - 2031 and a Fulbright Fellow (will spend the spring term of 2025 as Visiting Associate Professor at Stanford University).
Current position: Associate Professor at Lappeenranta-Lahti University of Technology LUT.
Contact details:
Email: jesse.railo@lut.fi
Office: 2412
Address:
Computational Engineering
LUT School of Engineering Sciences
Lappeenranta Campus
Yliopistonkatu 34
53850 Lappeenranta, Finland
Please do not hesitate to contact me if you have any questions related to my research or work. I'm also happy to give research talks, research school lectures, talks to public or media interviews. I'm generally free to review research manuscripts and theses within my research areas. Contacts by email, cheers! Feel free to follow or connect at ResearchGate or LinkedIn. See you there!
Social media
Selected publications
(with S. R. Jathar and M. Kar) Broken ray transform for twisted geodesics on surfaces with a reflecting obstacle, The Journal of Geometric Analysis (2024), vol. 34, article no. 212.
(with G. Covi and P. Zimmermann) The global inverse fractional conductivity problem, Preprint (2022), 29 pages, arXiv:2204.04325.
(with M. Kar and P. Zimmermann) The fractional p-biharmonic systems: optimal Poincaré constants, unique continuation and inverse problems, Calculus of Variations and Partial Differential Equations (2023), vol. 62 (4), article no. 130.
(with G. Covi, K. Mönkkönen and G. Uhlmann) The higher order fractional Calderón problem for linear local operators: Uniqueness, Advances in Mathematics 399 (2022), article no. 108246.
(with J. Ilmavirta and O. Koskela) Torus computed tomography, SIAM Journal on Applied Mathematics 80 (2020), no. 4, pp. 1947–1976.
(with J. Lehtonen and M. Salo) Tensor tomography on Cartan-Hadamard manifolds, Inverse Problems 34 (2018), Special Issue on 100 years of the Radon transform, no. 4, 044004.
What's new?
10. - 14.6.2024: Sean Holman from the University of Manchester is visiting us at LUT University.
26.5. - 1.6.2024: I'm attending the IPMS conference in Malta and will present an invited talk Magnetic and thermostatic nonabelian ray transforms in M13. Applications of Rich Tomography by Bill Lionheart and Sean Holman.
20.5. - 24.5.2024: I'm attending International Conference on Elliptic and Parabolic Problems: GAETA 2024 in Italy. Ill present an invited talk Advances and challenges in Calderón problems for nonlocal equations in MS-5: Inverse Problems for PDEs : Imaging and Control, organised by Antonio Corbo Esposito, Luisa Faella, Teresa Scarinci and Antonello Tamburrino.
6. - 7.5.2024: Giovanni Covi from the University of Helsinki and Teemu Saksala from North Carolina State University were visiting us at LUT University.
25.4 - 2.5.2024: Simon St-Amant from the University of Cambridge is visiting us at LUT University.
13.3.2024: I'm giving a trial lecture (i.e. teaching sample) Parametrization and arc length of curves (in Finnish: Käyrän parametrisointi ja kaarenpituus) for the title of Docent (Mathematical Foundations of Inverse Problems) at LUT University.
1.3.2024: Shubham Jathar joined my group at LUT University. Welcome to Lappeenranta! Shubham submitted his PhD thesis on generalized ray transforms at IISER Bhopal, India, earlier this year.
February - March, 2024: I'm on parental leave for about three weeks. I may not reply to emails before mid-March and it may take some time to sort out the backlog.
7.2.2024: Doctoral Education Pilot for Mathematics of Sensing, Imaging and Modelling (DREAM) got funded by the Ministry of Education and Culture of Finland. This will be associated with the FAME Flagship activities. At LUT University, DREAM will support 14 new doctoral students in 2024 - 2027. See the news!
January - April, 2024: I'm teaching with Jouni Sampo a first course on Optimization (in Finnish) aimed for the 2nd year undergraduate students at LUT University.
5. - 13.1.2024: Postdoctoral Researcher Philipp Zimmermann from the University of Barcelona, Spain, was visiting me at LUT University.
4. - 5.1.2024: I organize Inverse Problems session with Tony Liimatainen at the Finnish Mathematical Days 2024, Aalto University.
18.12.2023: I'm most pleased to announce that I was selected to the Fulbright Program and awarded a ASLA-Fulbright Research Grant for Junior Scholars for the academic year 2024 - 2025 by the Fulbright Finland Foundation. My U.S. host institute is Stanford University where I'm to be appointed as a Visiting Associate Professor at the Department of Mathematics for 6 months in 2025. I especially thank András Vasy and LUT University for their support!
11. - 15.12.2023: Inverse Days and Heikki Haario 70: Statistics Meets Inverse Problems conferences are organized in Lahti by LUT University and the Finnish Inverse Problems Society.
11.11.2023: I gave a popular talk How tomography can be studied via geometry? (In Finnish) at Integraatiofest in Lappeenranta. This is an annual physics and mathematics students networking event in Finland.
31.10.2023: I gave a lecture about university mathematics, research and inverse problems (in Finnish) to high school students at Lyseon lukio in Lappeenranta. It was great to see them actively participating and asking questions about mathematics, university studies and research!
24.10.2023: The Research Council of Finland has selected four new Flagships for its Finnish Flagship Programme. LUT University's team specializing in computational engineering is involved in the FAME flagship, which focuses on mathematical modeling, observation, and imaging and is coordinated by the University of Eastern Finland. See news at LUT and Research Council of Finland. Amazing news for the inverse problems community and associated parties!!!
9.10.2023: I'm happy to announce that the Jenny and Antti Wihuri Foundation has awarded Homing Grant for starting my own team at LUT University!
September - October, 2023: I'm teaching with Juho Virpiranta a first course on Partial Differential Equations (in Finnish) aimed for the 3rd year undergraduate students at LUT University.
Talks and lecture videos
Broken ray transforms for twisted geodesics on surfaces
Isaac Newton Institute for Mathematical Sciences, Cambridge: New tomographic methods using particles (Rich and Nonlinear Tomography - a multidisciplinary approach), 19.5.2023.
Unique continuation of the fractional Laplacians, Radon transforms and nonlocal inverse problems
International Zoom Inverse Problems Seminar (UC Irvine), 25.5.2023.
Inverse fractional conductivity problem
International Zoom Inverse Problems Seminar (UC Irvine), 29.9.2022.