Master and PhD theses

Master and PhD thesis can be written in fields close to my scientific interests, namely mathematical physics, differential equations, probability theory, functional analysis, dynamical systems, C*-algebras and non-commutative topology and geometry. More specifically, this concerns products of random matrices, free probability theory, random dynamical systems, Sturm-Liouville operators, spectral theory, Schrödinger operators, quasi-one-dimensional quantum systems, topological insulators and semimetals, quantum mechanical scattering theory, non-commutative geometry, index theory. In case you are interested, please contact me by Email.

Master thesis

• Christian Sadel, Mai 2006, Lyapunov exponents at bandedges
• Tina Comes, Juli 2007, Oszillationstheorem fuer matrix-wertige Sturm-Liouville-Probleme
• Dorothee Barthel, Dezember 2009, Zufaellige Dynamische Systeme auf der Kreisscheibe
• Patrik Duerr, Mai 2012, Scattering Theory of 2-Dimenisonal Lattice Systems
• Stefan Daiker, Oktober 2014, Krein’sche Stabilitaetstheorie J-selbstadjungierter Operatoren
• Sebastian Kaul, Oktober 2016, Rumpf- und Rand-Invarianten für bosonische Systeme und ihre mathematischen Grundlagen
• Tom Stoiber, September 2018, An index theorem for Toeplitz operators with non-commutative quasicontinuous symbols and applications to solid state physics
• Nora Doll, November 2018, Z2-wertige spektrale Fluesse

PhD thesis

• Christian Sadel, August 2009, Analysis of random matrix action related to random operators in quantum physics
• Julio Cesar Avila, Mai 2014, On a Z_2 invariant in periodic 2d systems with time-reversal symmetry and edge states
• Maxim Drabkin, Juni 2015, Analysis of certain random operators related to solid state physics
• Julian Grossmann,  Februar 2018, Oscillation theory for Jacobi matrices and index pairings with applications to topological insulators
• Ali Bereyhi, May 2020, Statistical mechanics of regularized least squares
• Florian Dorsch, Juni 2021, Perturbative analysis of products of random matrices
• Tom Stoiber, November 2022, Index theory and bulk-boundary correspondence for topological insulators and semimetals
• Nora Doll, March 2023, Z2-fluows for skew-adjoint Fredholm operators and skew localizer for real index pairings