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

• Ian Koot
  Ian works in algebraic quantum field theory.
• 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.
• Charley Scotford (Cardiff University)
  Charley works on short-distance scaling limits of low-dimensional quantum field theories.

Master students

• Justin Gassner: algebraic quantum field theory

Research project students

• Johannes Große: KMS states in quantum field theory

Bachelor students

• Maximilian Beetz: Fourier transform on abelian groups and Shor’s algorithm
• Mila Fischer: Representations of braid groups
• Jakob Roßkopf: Enhanced Yang-Baxter operators

Teacher students

• Nabil Iftekhar: Orthonormal bases, Fourier analysis, and wavelets

Completed projects

PhD students

• 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

Other completed student / internship projects

• 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