Jesse Railo
mathematician
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Hello! This is Jesse Railo. Welcome to my homepage!
About me
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 Alumni from Stanford University where I was Visiting Associate Professor for 6 months in Spring 2025 (hosted by András Vasy).
Current position: Associate Professor of Applied Mathematics at Lappeenranta-Lahti University of Technology LUT, Finland.
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. Contacts by email, cheers! Feel free to follow or connect at ResearchGate or LinkedIn. See you there!
Social media
Social media
Selected publications
Selected publications
(with E. L. K. Blåsten, T. Helin, A. Kujanpää and L. Oksanen) Recovering a (1+1)-dimensional wave equation from a single white noise boundary measurement, Preprint (2025), 25 pages, arXiv:2503.18515.
(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?
What's new?
September - October, 2025: I'll be on parental leave from September 1 and might not read my email regularly until October 26. I cannot currently review manuscripts for journals, but please consider to ask from one of our research team members whose speciality is briefly described on the team page.
9.7.2025: I moved back to Finland from Stanford! I'm on holidays and might not read my email regularly until August 10.
11. - 18.6.2025: Antti Kujanpää from our team at LUT will visit András Vasy and myself at Stanford.
4. - 5.6.2025: I'll visit Francois Monard and Hadrian Quan and give a talk at UC Santa Cruz.
3.6.2025: I'll give a talk in Analysis & PDE Seminar at Stanford.
May, 2025: Ella Salo completed her BSc thesis Limited angle Radon transform: theory and numerical study at LUT under the supervision of Shubham Jathar and myself. She will continue as a summer assistant in our research group in June. Congrats!
30.4.2025: I gave a talk in Inverse Problems Seminar at the UC Irvine. It was my pleasure to visit Katya Krupchyk.
25.4.2025: I gave a talk in Applied Math/PDE/Data Science Seminar at the UC Santa Barbara. It was my pleasure to visit Hanming Zhou and meet with Gustavo Ponce.
14. - 18.4.2025: I visited Maarten de Hoop and Antti Kykkänen at Rice University. I had a pleasure to deliver a talk in their group seminar.
9.4.2025: I gave a talk in the Differential Geometry / PDE / Inverse Problems Seminar at the University of Washington, Seattle, USA. It was my pleasure to visit Gabriel P. Paternain, Gunther Uhlmann and Stefan Steinerberger.
12.1.2025: I'm relocating for work to Stanford, CA, USA!
8.1.2025: I'm very excited to announce that I was named as one of the new EMS Young Academy Members 2025 - 2028! Read more about EMYA from the EMS webpage.
2.1.2025: Janne Nurminen started as a new postdoctoral researcher in our research team! He finished his PhD at the University of Jyväskylä, Finland, in the summer 2024. Welcome to LUT!
2.1.2025: Jarmo Flander started as a new doctoral student in our research team! He recently finished his Master's thesis Calderón problem for piecewise constant conductivities at LUT University.
23.12.2024: I received a Grant for International Research Visit of the Research Foundation of LUT University, LAB University and Saimaa Vocational College Sampo in 2025. This grant is awarded as a support towards my upcoming Fulbright visit at Stanford University.
September - December, 2024: I'm on a half-time parental leave.
26. - 30.8.2024: I'm attending the first ever Finland-Japan Workshop in Industrial and Applied Mathematics in Helsinki. Looking forward the trip!
20. - 22.8.2024: Janne Nurminen from the University of Jyväskylä visited us at LUT.
19.8.2024: Antti Kujanpää started as a new postdoctoral researcher in our research team. Previously, he was a Postdoctoral Fellow at the HKUST Institute for Advanced Studies. He obtained his PhD degree from the University of Helsinki in 2022.
1.8.2024: Oula Kekäläinen (who just obtained his MSc from Aalto University) started as a new PhD student in our research team. Welcome to Lappeenranta and our research group!
31.7.2024: We have five PhD positions open in Applied Mathematics at LUT University. Check out the call and apply if you are looking for doing a PhD in applied mathematics! Finland is a great place to live and carry out academic research. We are looking people with several different backgrounds.
27.6.2024: Emil Aaltosen Säätiö has awarded a project grant of 200 000 EUR to my research team at LUT University! See the news and the project description (both in Finnish) at the homepage of Emil Aaltosen Säätiö.
25.6.2024: I'm happy to announce that the Rector of LUT has decided to promote me to a tenure track associate professor of applied mathematics! Read about the tenure track career at LUT.
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.
Talks and lecture videos
Talks and lecture videos
Broken ray transforms for twisted geodesics on surfaces
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
Inverse fractional conductivity problem
International Zoom Inverse Problems Seminar (UC Irvine), 29.9.2022.
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