• United Kingdom

If you made any changes in Pure these will be visible here soon.

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

Fingerprint Dive into the research topics where Matthias Langer is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Self-adjoint Operator Mathematics
Operator Matrix Mathematics
Block Matrix Mathematics
Eigenvalue Mathematics
Operator Mathematics
Resolvent Mathematics
Weyl Function Mathematics
Symmetric Operator Mathematics

Network Recent external collaboration on country level. Dive into details by clicking on the dots.

Projects 2007 2022

Research Output 2000 2020

  • 49 Article
  • 5 Chapter (peer-reviewed)

Spectral enclosures for a class of block operator matrices

Giribet, J., Langer, M., Martínez Pería, F., Philipp, F. & Trunk, C., 2 Jan 2020, In : Journal of Functional Analysis. 24 p., 108455.

Research output: Contribution to journalArticle

Operator Matrix
Block Matrix
Circle theorem
28 Downloads (Pure)

Collimated dual species oven source and its characterisation via spatially resolved fluorescence spectroscopy

Cooper, N., Da Ros, E., Nute, J., Baldolini, D., Jouve, P., Hackermüller, L. & Langer, M., 14 Mar 2018, In : Journal of Physics D: Applied Physics. 51, 10, 8 p., 105602.

Research output: Contribution to journalArticle

Open Access
Fluorescence Spectroscopy
Fluorescence spectroscopy


Mathematical analysis of k-path Laplacian operators on simple graphs

Author: Hameed, E. M., 1 Nov 2017

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., 1 Aug 2014

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

Student thesis: Doctoral Thesis

Activities 2008 2016

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