Our research team focus to fundamental aspects of inverse problems and imaging. We are part of the wider research group of Uncertainty Quantification and Inverse Problems 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

• Postdocs:

  • Shubham Jathar (PhD 2024 expected, IISER Bhopal, India). Shubham specializes to integral geometric inverse problems.

  • Expected start in August 2024: Antti Kujanpää (PhD 2022, University of Helsinki, Finland). Antti specializes to applications of microlocal analysis for inverse problems. Co-supervised with Prof. Emilia Blåsten.

• MSc students:

  • Jarmo Flander. Currently studies inverse problems for PDEs.

Open positions

There will be open positions at postdoctoral and PhD student levels in 2024 and later. 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.

Open position right now! 

• We are looking for several PhD students in Inverse Problems and related areas starting in August 2024/January 2025. These positions will be funded via the Doctoral Education Pilot for Mathematics of Sensing, Imaging and Modelling at LUT University (see DREAM webpage at LUT). Professors of Uncertainty Quantification and Inverse Problems research group may be contacted for further details. Our team (supervisor: Jesse Railo) is looking for at least two PhD students working in one of the research areas listed in the beginning of this webpage.

Research funding