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 and the Centre of Excellence of Inverse Modelling and Imaging of the Research Council of Finland. 

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

Team members

• 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).

• Master's students:

  • Ella Salo

Open positions

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.

Research funding