Matthias Langer

Matthias Langer is a Senior Lecturer in the Department of Mathematics and Statistics at the University of Strathclyde, part of the Faculty of Science. He received his PhD from the Vienna University of Technology and has held postdoctoral positions at the University of Leicester, the University of Bremen, and Vienna University of Technology before joining Strathclyde in 2004. He was a Visiting Professor at Vienna University of Technology in 2013 and 2014 and has been a Visiting Fellow at the Isaac Newton Institute three times.

His research lies at the intersection of functional analysis, operator theory, and differential equations, with applications in mathematical physics and engineering. Key areas include spectral theory of block operator matrices, inverse problems, coagulation-fragmentation equations, and differential operators with singular coefficients. He applies these theories to problems in non-destructive testing, liquid crystals, quantum mechanics, and networks.

The recent publications highlight a strong focus on canonical systems, Weyl coefficients, spectral analysis, and nonlinear PDEs arising in material science. His work combines deep theoretical analysis with practical modeling, particularly in systems governed by evolution equations and spectral problems with indefinite inner products.

Scientific Awards and Recognitions:

• Three-time Visiting Fellow, Isaac Newton Institute for Mathematical Sciences
• Visiting Professor, Vienna University of Technology (2013, 2014)

Advising and Grants: Dr. Langer has supervised several doctoral researchers including Grant Jamieson Ross, Sophie McLauchlan, and Michael Doherty. He has been Principal Investigator on multiple EPSRC-funded projects, including Doctoral Training Partnerships (DTP) and research on differential operators with singularities and indefinite inner product spaces. His projects span from 2007 to ongoing work extending to 2025.

Professional Engagement: He serves on the editorial boards of Quaestiones Mathematicae and Complex Analysis and Operator Theory, and has been an invited speaker and organizer at international conferences such as IWOTA and the Nordic Congress of Mathematicians.