Joonas Ilmavirta is an Associate Professor in the Department of Mathematics and Statistics at the University of Jyväskylä, affiliated with the Faculty of Mathematics and Science. He is part of the Centre of Excellence of Inverse Modelling and Imaging (2018–2025) and contributes to the Inverse Problems research group, focusing on mathematical frameworks for indirect measurements. His work intersects applied and pure mathematics, with applications in geophysics, material science, and astrophysics. Research interests include inverse problems, geometric analysis, and tomography. Key areas are the reconstruction of structures from boundary measurements (e.g., seismic imaging, elasticity tomography), spectral rigidity of manifolds, and quantum computing algorithms for inverse problems on graphs. He explores theoretical foundations and practical implementations of indirect measurement techniques, emphasizing stability, uniqueness, and computational methods. Notable contributions include studies on Finsler geometry, anisotropic elasticity, and low-regularity manifolds. His work addresses challenges in geophysical imaging, such as determining Earth’s internal structure or gas giant compositions using seismic or gravitational data. Collaborative projects involve the FAME Flagship initiative, advancing sensing, imaging, and modeling through inverse problem methodologies. Publications emphasize geometric tomography, ray transforms, and mathematical physics, with a focus on rigorous analysis and interdisciplinary applications. He engages with both theoretical developments and computational tools, bridging pure mathematics with real-world inverse problem solutions.






