# 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

## Publications

(52)## Spectrum of

*J*-frame operatorsResearch output: Research - peer-review › Article

## Spectral enclosures for non-self-adjoint extensions of symmetric operators

Research output: Research - peer-review › Article

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

Research output: Research - peer-review › Article

## Activities

(8)## Quaestiones Mathematicae (Journal)

Activity: Publication peer-review and editorial work › Editorial board member

## Complex Analysis and Operator Theory (Journal)

Activity: Publication peer-review and editorial work › Editorial board member

## IWOTA 2010

Activity: Participating in or organising an event › Key-note speaker and plenary lectures at conferences

## Projects

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

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

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

Project: Research - Internally Allocated › Research (Internally Allocated)

## Doctoral Training Grant 2010 | Cunningham, Laura

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