Master and PhD projects
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 MSc thesis in our group. Please get in touch in order to arrange a topic and supervision. Also Bachelor projects are available, see for example the suggested topics from the seminar on low-dimensional topology (StudOn link).
Ongoing projects
PhD students
- Tasarla Deadman (Cardiff University)
Tasarla works on braid group representations and unitary solutions of the Yang-Baxter equation, see this extended abstract for an impression. - Ian Koot
Ian works on entropies of states of von Neumann algebras in algebraic quantum field theory. - Ivan Romualdo de Oliveira (guest PhD student from Sao Paulo). Ivan works on Newton-Wigner localisation in curved spacetimes and modular localisation.
Master students
- Justin Gassner: energy densities in algebraic quantum field theory
Research project students
- Johannes Große: KMS states, crossed products, quantum field theory
Bachelor students
- Maximilian Beetz: Fourier transform on abelian groups and Shor’s algorithm
- Leon Bernáth: Standard subspaces and crossing symmetry
Teacher students
- Nabil Iftekhar: Orthonormal bases, Fourier analysis, and wavelets
Completed projects
PhD students
- Charley Scotford
PhD 05/2023, Cardiff University
Projekt: Scaling Limits of Integrable Quantum Field Theories and Non-Local Chiral Models. - Sabina Alazzawi
PhD 11/2014, University of Vienna (supervision jointly with Jakob Yngvason)
Project: Deformations of Quantum Field Theories and the Construction of Interacting Models - Thomas Ludwig
PhD 07/2013, Leipzig University (supervision jointly with Rainer Verch)
Project: Wick Rotation for Quantum Field Theories on Degenerate Moyal Space - Eric Morfa-Morales
PhD 02/2012, University of Vienna (supervision jointly with Jakob Yngvason)
Project: Deformations of Quantum Field Theories on Curved Spacetimes
Master- und Diploma projects
- Timothy Weaving
MSc 2020, Cardiff University
Project: Quantum Information - Nathaniel Fox
MSc 2017, Cardiff University
Project: Transparent potentials for quantum scattering - Charley Scotford
MSc 2017, Cardiff University
Project: Supersymmetric quantum mechanics - Peter Sutherns
MSc 2016, Cardiff University
Project: The Radon Transform - Giovanni Cattarina
Laurea/MSc 07/2016 Bologna/Cardiff
Project: Link Invariants, Braid Groups and Classification of Enhanced Yang-Baxter Operators in d=2 - Albert Huber
Diploma 04/2012, Universität Wien
Project: Thermal Equilibrium States in Deformed Quantum Field Theory - Christian Schützenhofer
Diploma 12/2011, Universität Wien
Project: Multi-particle S-matrix models in 1+1 dimensions and associated QFTs
Completed Bachelor projects
- Jakob Roßkopf: (BSc summer 2023)
Enhanced Yang-Baxter operators - Mila Fischer: (BSc summer 2023)
Komplexe, irreduzible Darstellungen der Zopfgruppen mit höchstens zwei Eigenwerten als Darstellungen von Hecke-Algebren und ihr Zusammenhang mit Darstellungen der symmetrischen Gruppe
Other completed student / internship projects
- Ludwig Peschik
Quantum/String Fourier transform and crossing-symmetric braided twists - Owen Tanner
CUROP projekt student, July/August 2019, Cardiff University (supervision jointly with Ulrich Pennig)
Project: Von Neumann Algebras - Vidal Agniel
International project student, summer 2016, Cardiff University
Project: Study of weighted composition operators on Bergman and Hardy spaces