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Personal profile

Personal Statement

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/

 

Research Interests

  • 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

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