Associate Professor of Mathematical Analysis, Department of Mathematics, University of Genoa
Principal Investigator at MaLGa – Machine Learning Genoa Center
I work on inverse problems for partial differential equations and on the mathematics of machine learning for imaging. My research ranges from uniqueness and stability for Calderón-type problems to generative models, learned regularizers and operator learning, with applications to medical imaging and physical sciences.
Uniqueness, stability and reconstruction for Calderón's inverse conductivity problem and related problems, including electrical impedance tomography, recovery from finitely many measurements, and models of electrolysers.
Diffusion and flow-based priors, manifold-aware sampling and generative models in infinite dimensions, applied to posterior sampling, EIT and MRI.
Statistical learning theory for regularization functionals, sparsity-promoting priors, and physics-informed kernel methods for learning operators between function spaces.
Infinite-dimensional compressed sensing for inverse problems, with applications to photoacoustic tomography, the sparse Radon transform, deconvolution and MRI.
I have also worked on complex and hypercomplex analysis and on theoretical economic geography, including market areas in general equilibrium.
An introduction to my research for a general audience, in Italian with subtitles.
Listed by year of first appearance. For the full record see Google Scholar.
Matteo Santacesaria is an Associate Professor of Mathematical Analysis at the University of Genoa and a Principal Investigator at MaLGa, the Machine Learning Genoa Center. He received his PhD from École Polytechnique and held postdoctoral positions at Université Grenoble Alpes, the University of Helsinki and Politecnico di Milano. His research lies at the interface of inverse problems, partial differential equations and machine learning, with applications to medical imaging. In 2026 he received the EAIP Young Scientist Award.
Email: matteo (dot) santacesaria (at) unige (dot) it
MaLGa, Department of Mathematics, University of Genoa, Italy
I also write, about things other than work, on Substack.