Bachelor, Master and PhD projects/theses
If you are interested in a topic from functional analysis, mathematical quantum physics, operator algebras or braid groups, then you can write your BSc or MSc thesis in our group. Please get in touch in order to arrange a topic and supervision. Physics students with an interest in mathematics and the necessary mathematical background are also welcome.
Some of the projects below contain links to articles / reports that convey an idea of the kind of research we are doing.
Ongoing projects
PhD students
| Name |
|
Topic |
Supervision |
| Ian Koot |
|
Entropies in AQFT and modular theory |
Gandalf Lechner |
| Johannes Große |
|
Algebraic quantum field theory |
Gandalf Lechner |
Master students
Bachelor students
| Name |
|
Topic |
Supervision |
| Johannes Liegsalz |
|
Subproduct Systems |
Gandalf Lechner |
| Noah Corona López |
|
Complexity of one parameter groups |
Gandalf Lechner |
Completed projects
Some of the completed projects listed below are linked to pdf files (theses, project reports or corresponding articles).
PhD
Master and Diploma
| Name |
Date |
Title/Topic |
Supervision |
| Justin Gassner |
02/25 |
Energy densities in algebraic QFT |
Gandalf Lechner |
| Johannes Große |
09/24 |
KMS States on Crossed Products by Finite Groups |
Ricardo Correa da Silva and Gandalf Lechner |
| Timothy Weaving |
04/20 |
Quantum Information (MSc at Cardiff) |
Gandalf Lechner |
| Nathaniel Fox |
07/17 |
Transparent potentials for quantum scattering (MSc at Cardiff) |
Gandalf Lechner |
| Charley Scotford |
05/17 |
Supersymmetric quantum mechanics (MSc at Cardiff) |
Gandalf Lechner |
| Peter Sutherns |
04/16 |
The Radon Transform |
Gandalf Lechner |
| Giovanni Cattarina |
07/16 |
Link Invariants, Braid Groups and Classification of Enhanced Yang-Baxter Operators in d=2 (Laurea at Bologna) |
Gandalf Lechner |
| Albert Huber |
04/12 |
Thermal Equilibrium States in Deformed Quantum Field Theory (Diploma at Vienna) |
Gandalf Lechner |
| Christian Schützenhofer |
12/11 |
Multi-particle S-matrix models in 1+1 dimensions and associated QFTs (Diploma at Vienna) |
Gandalf Lechner |
Bachelor
| Name |
Date |
Title/Topic |
Supervision |
| Andreas Rothemund |
12/24 |
The Jones index and R-matrices |
Gandalf Lechner |
| Moritz Reichert |
11/24 |
Bi-free probability and modular theory |
Gandalf Lechner |
| Leon Bernáth |
10/24 |
Standard subspaces and crossing symmetry |
Ricardo Correa da Silva und Gandalf Lechner |
| Benedikt Wenzel |
09/24 |
Spectral analysis of transparent potentials |
Ricardo Correa da Silva, Gandalf Lechner, and Davide Lonigro |
| Maximilian Beetz |
04/24 |
Shors Algorithmus |
Gandalf Lechner |
| Nabil Iftekhar |
02/24 |
Approximationseigenschaften von Orthonormalbasen |
Gandalf Lechner |
| Jakob Roßkopf |
08/23 |
Enhanced Yang-Baxter Operators |
Gandalf Lechner |
| Mila Fischer |
07/23 |
Darstellungen von Hecke-Algebren |
Gandalf Lechner |
Other completed student / internship projects
| Name |
Date |
Title/Topic |
Supervision |
| Johannes Große (research project student) |
02/24 |
KMS states on Z2-crossed products |
Ricardo Correa da Silva und Gandalf Lechner |
| Ludwig Peschik (research project student) |
08/23 |
Crossing Symmetry and the String Fourier Transform |
Ricardo Correa da Silva und Gandalf Lechner |
| Owen Tanner (Cardiff CUROP student) |
08/19 |
Von Neumann Algebras |
Gandalf Lechner and Ulrich Pennig |
| Vidal Agniel (project student) |
08/16 |
Weighted composition operators |
Gandalf Lechner |
