I am a lecturer in the Department of Mathematics and Statistics, and my research focuses on functional analysis, operator theory and differential equations.  I am interested both in the theoretical aspects and their applications to problems in engineering and science, like non-destructive testing, liquid crystals, networks, quantum mechanics and others.

After having received a PhD from the Vienna University of Technology I did post-docs at the University of Leicester, the University of Bremen and the Vienna University of Technology.  In 2004 I joined the University of Strathclyde.  I was Visiting Professor at the Vienna University of Technology in 2013 and 2014.  Three times I was a Visiting Fellow at the Isaac Newton Institute for Mathematical Sciences.

Webpage - http://personal.strath.ac.uk/m.langer/

• differential operators, in particular elliptic PDOs and differential operators with singular coefficients
• functions whose values are operators on a Banach space for the study of spectral problems that depend nonlinearly on the eigenvalue parameter
• block operator matrices, i.e. matrices whose entries are operators between Banach spaces, with applications to systems of differential equations
• inverse problems: in particular, mathematical models for non-destructive testing with ultrasonic waves, inverse spectral problems for differential equations with singular coefficients
• operator semigroups and evolution equations, in particular, coagulation-fragmentation equations
• spaces with indefinite inner products and their use in singular perturbations and inverse spectral theory