Theses

If you are interested in writing a thesis (e.g. a bachelor or master thesis) under my supervision, please don't hesitate to contact me, preferably via email. The topics can be balanced with your individual interests, and are based either on recent courses or on my research interests.

Preparation

It is useful if you have attended classes or seminars in my research areas, e.g. abstract algebra, topology, differential geometry, functional analysis, or operator algebras. If you are enscribed in the Bachelor programme "Mathematics", I recommend minoring in "Theoretical Physics".

Supervised theses

  • Bachelor theses
    Hannes Berkenhagen (2021) "A categorical extension of the split orthogonal group"
    Johannes Johnke (2021) "Reflection-positive 2-dimensional Topological quantum field theories"
    Sebastian Martinköwitz (2020) "Verzopfungen auf verschränkten Moduln"
    Malte Kunath (2014) "Simpliziale Mengen und (oo,1)-Kategorien"
    Darvin Mertsch (2014) "Algebren über Operaden"
  • Master theses
    Darvin Mertsch (2017) "Bündelgerben und getwistete K-Theorie"
    Malte Kunath (2017) "Eindimensionale topologische Feldtheorien im Rahmen von (oo,1)-Kategorien"
  • PhD theses
    Darvin Mertsch (2020) "Geometric models for twisted K-theory based on bundle gerbes and algebra bundles"
    Peter Kristel (2020) "The Spinor Bundle on Loop Space and its Fusion Product"