Matthias Ehrhardt

Matthias Ehrhardt is a Reader in the Department of Mathematical Sciences at the University of Bath, affiliated with multiple research centers including the Centre for Mathematics and Algorithms for Data (MAD), Centre for Nonlinear Mechanics, Bath Institute for the Augmented Human, and Centre for Bioengineering & Biomedical Technologies (CBio).

• PhD in Medical Imaging from University College London (2012-2015)
• MSc in Industrial Mathematics from Universität Bremen (2006-2012)

Dr. Ehrhardt's research focuses on the mathematical foundations of imaging technologies, with particular expertise in inverse problems and optimization techniques applied to medical imaging. His work bridges theoretical mathematics with practical applications in biomedical imaging, developing novel computational methods for image reconstruction. He has established himself as a key researcher in the field of inverse problems, with contributions spanning regularization theory, stochastic optimization, and deep learning approaches to imaging science.

His recent publications (2025) demonstrate a clear trajectory toward integrating advanced mathematical techniques with machine learning frameworks, particularly in bilevel optimization approaches for medical imaging applications. The research shows strong emphasis on geometric integration methods, stochastic optimization for large-scale problems, and novel approaches to image reconstruction that maintain mathematical rigor while improving computational efficiency.

Dr. Ehrhardt serves as an Associate Editor for SIAM Journal on Imaging Sciences and has organized major conferences including 'Computational Techniques and Imaging Innovations in the Age of AI' and 'Deep Learning and Inverse Problems'. He currently leads multiple research projects with substantial funding from EPSRC and other organizations, focusing on deep learning applications to biomedical imaging.

His research group operates within the Centre for Mathematics and Algorithms for Data (MAD), collaborating closely with biomedical researchers at the Royal United Hospitals Bath NHS Foundation Trust and international partners on cutting-edge imaging technologies for clinical applications.