Projects per year
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
- 1 Similar Profiles
Collaborations and top research areas from the last five years
-
Maths DTP 2020 University of Strathclyde | Fry, Mark
Dolean Maini, V., Langer, M. & Fry, M.
EPSRC (Engineering and Physical Sciences Research Council)
1/10/21 → 1/10/24
Project: Research Studentship - Internally Allocated
-
Maths DTP 2020 University of Strathclyde | McLauchlan, Sophie
Majumdar, A., Langer, M. & McLauchlan, S.
EPSRC (Engineering and Physical Sciences Research Council)
1/10/20 → 1/10/24
Project: Research Studentship - Internally Allocated
-
Canonical systems whose Weyl coefficients have dominating real part
Langer, M., Pruckner, R. & Woracek, H., 30 Aug 2023, (E-pub ahead of print) In: Journal d'Analyse Mathématique. 40 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile1 Citation (Scopus)5 Downloads (Pure) -
Estimates for the Weyl coefficient of a two-dimensional canonical system
Langer, M., Pruckner, R. & Woracek, H., 20 Jan 2023, (Accepted/In press) In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. 52 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile1 Downloads (Pure)
Activities
-
Quaestiones Mathematicae (Journal)
Matthias Langer (Editorial board member)
2016 → …Activity: Publication peer-review and editorial work types › Editorial board member
-
Complex Analysis and Operator Theory (Journal)
Matthias Langer (Editorial board member)
Feb 2014 → …Activity: Publication peer-review and editorial work types › Editorial board member