• United Kingdom

20002020

Research output per year

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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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Projects

Research Output

  • 50 Article
  • 5 Chapter (peer-reviewed)

Discrete fragmentation systems in weighted ℓ1 spaces

Kerr, L., Lamb, W. & Langer, M., 7 Feb 2020, In : Journal of Evolution Equations. 33 p.

Research output: Contribution to journalArticle

Open Access
File
  • 7 Downloads (Pure)

    Spectral enclosures for a class of block operator matrices

    Giribet, J., Langer, M., Martínez Pería, F., Philipp, F. & Trunk, C., 1 Jun 2020, In : Journal of Functional Analysis. 278, 10, 24 p., 108455.

    Research output: Contribution to journalArticle

  • Thesis

    Mathematical analysis of k-path Laplacian operators on simple graphs

    Author: Hameed, E. M., 8 Jan 2019

    Supervisor: Langer, M. (Supervisor) & Estrada, E. (Supervisor)

    Student thesis: Doctoral Thesis

    Mathematical model based methods for characterising defects within ultrasonic non destructive evaluation

    Author: Cunningham, L., 6 May 2015

    Supervisor: Mulholland, A. (Supervisor) & Langer, M. (Supervisor)

    Student thesis: Doctoral Thesis

    Activities

    Quaestiones Mathematicae (Journal)

    Matthias Langer (Editorial board member)
    2016 → …

    Activity: Publication peer-review and editorial work typesEditorial board member

    Complex Analysis and Operator Theory (Journal)

    Matthias Langer (Editorial board member)
    Feb 2014 → …

    Activity: Publication peer-review and editorial work typesEditorial board member