Research Team: Mathematical Foundations of Inverse Problems
Research Team: Mathematical Foundations of Inverse Problems
Our research team focus to fundamental aspects of inverse problems and imaging and is part of the Applied Mathematics Research Unit at LUT University. Our team is part of the FAME Flagship (Advanced Mathematics for Sensing, Imaging and Modelling) of the Research Council of Finland and participates to the activities of the Finnish Inverse Problems Society.
Our team members do research in the following areas:
Integral geometry and inverse problems for PDEs on Riemannian manifolds
Inverse problems for fractional and nonlocal equations
Low regularity and partial data questions for inverse problems
Stability theory and reconstruction methods for inverse problems
Bayesian statistical theory for nonlinear inverse problems
Applications of microlocal analysis for inverse problems
Principal investigator: Associate Professor Jesse Railo
Senior researchers: Jouni Sampo. Jouni specializes to applied harmonic analysis and industrial applications of mathematics.
Postdocs:
Shubham Jathar (PhD 2024, IISER Bhopal, India). Shubham specializes to integral geometric inverse problems.
Antti Kujanpää (PhD 2022, University of Helsinki, Finland). Antti specializes to applications of microlocal analysis for inverse problem. Co-supervised with Emilia Blåsten (LUT).
Janne Nurminen (PhD 2024, University of Jyväskylä, Finland). Janne specializes to Calderón type inverse problems and nonlinear PDEs.
Doctoral students:
Oula Kekäläinen (MSc (Tech.) 2024, Aalto University, Finland). Co-supervised with Mihajlo Cekić (CNRS & Université Paris-Est Créteil, France).
Jarmo Flander (MSc (Tech.) 2024, LUT University, Finland). Co-supervised with Toni Karvonen (LUT).
Joel Turkulainen (MSc 2025, University of Helsinki, Finland). Co-supervised with Katya Krupchyk (UC Irvine, USA).
Master's students:
Ella Salo
We regularly hire postdoctoral researchers and PhD students. We are seeking strong candidates with their background in harmonic analysis, partial differential equations, differential geometry, mathematical statistics and inverse problems. If you are interested in working in our research group in the future, please send a shortish email with your CV to Jesse Railo, jesse.railo@lut.fi.
Our research at LUT is supported by the following external parties:
2024 - 31: FAME Flagship by the Research Council of Finland.
2026 - 29: Doctoral Research Grant (Joel Turkulainen) by the Finnish Cultural Foundation (Elina, Sofia ja Yrjö Arffman Fund). Project budget: EUR 96 000.
2025 - 27: Project Grant by the Emil Aaltonen Foundation. Project budget: EUR 200 000.
2024 - 27: Doctoral Education Pilot for Mathematics of Sensing, Imaging and Modelling by the Ministry of Education and Culture of Finland. Project budget (share of our team): EUR 510 000.
2025 - 26: Homing Grant by the Jenny and Antti Wihuri Foundation. Project budget: EUR 75 000.
2025: Grant for International Research Visit (Jesse Railo, Stanford University) by the Research Foundation of LUT University, LAB University and Saimaa Vocational College Sampo. Host: Prof. András Vasy. Project budget: USD 30 000.
2025: ASLA-Fulbright Research Grant for Junior Scholars (Jesse Railo, Stanford University) by the Fulbright Finland Foundation. Host: Prof. András Vasy. Project budget: EUR 10 000.
2023 - 25: CoE of Inverse Modelling and Imaging by the Research Council of Finland.
Previously, we were supported by the following external parties:
2021 - 23: The Foundations’ Post Doc Pool Grant (Jesse Railo, University of Cambridge) by the Finnish Academy of Science and Letters (Vilho, Yrjö and Kalle Väisälä Fund). Host: Prof. Gabriel P. Paternain. Project budget: EUR 91 000.