Matthias Langer

Lecturer B

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
Close
  1. Spectrum of J-frame operators

    Research output: Research - peer-reviewArticle

  2. Spectral enclosures for non-self-adjoint extensions of symmetric operators

    Research output: Research - peer-reviewArticle

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  1. Quaestiones Mathematicae (Journal)

    Activity: Publication peer-review and editorial workEditorial board member

  2. Complex Analysis and Operator Theory (Journal)

    Activity: Publication peer-review and editorial workEditorial board member

  3. IWOTA 2010

    Activity: Participating in or organising an eventKey-note speaker and plenary lectures at conferences

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Projects

(5)
  1. Doctoral Training Partnership (DTP - University of Strathclyde) | Ross, Grant Jamieson

    Project: Research Studentship - Internally AllocatedResearch Studentship (Internally Allocated)

  2. New Methods For Ultrasonic NDE Of Difficult Materials | Tant, Katherine Margaret Mary

    Project: Research - Internally AllocatedResearch (Internally Allocated)

  3. Doctoral Training Grant 2010 | Cunningham, Laura

    Project: Research Studentship - Internally AllocatedResearch Studentship (Internally Allocated)

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Matthias Langer

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