I am currently working on Grothendieck-Verdier categories. These are monoidal categories with a duality structure that is more general than rigidity. Grothendieck-Verdier categories occur as representation categories of vertex operator algebras. This has been my motivation for studying them.

• A lifting theorem for Grothendieck-Verdier categories. Preprint.
• Surface Diagrams for Frobenius Algebras and Frobenius-Schur Indicators in Grothendieck-Verdier Categories. With Christoph Schweigert. To appear in Higher Structures. See also the additional STL and HOM files and the addendum.

• My bachelor's thesis characterizes linearly distributive categories with invertible distributors as shift monoidal categories up to Frobenius linearly distributive equivalence.
• My master's thesis uses surface diagrams to study Frobenius algebras in linearly distributive categories, Hopf monads, Hopf algebroids, Hopf adjunctions, and Frobenius-Schur indicators for pivotal Grothendieck-Verdier categories.

• Bases in standard categories. Notes for a reading seminar talk on highest weight categories and tilting theory at the University of Hamburg.
• What is dense about the Jacobson density theorem? A short note explaining the name density theorem, using some elementary topology.