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Department of Mathematics

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  3. Prof. Dr. Hermann Schulz-Baldes
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Master and PhD theses

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Master and PhD theses

Master and PhD thesis

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

Friedrich-Alexander-Universität
Department of Mathematics

Cauerstraße 11
91058 Erlangen
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