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.

• Linearly distributive coherence in the absence of units. With Christian Reiher and Christoph Schweigert. Preprint. Submitted.
• Grothendieck–Verdier functors. Advances in Mathematics, 502, Part A (2026).
• Surface Diagrams for Frobenius Algebras and Frobenius-Schur Indicators in Grothendieck-Verdier Categories. With Christoph Schweigert. Higher Structures (accepted). See also the additional STL and HOM files and the addendum. Here is a popular science summary of some of the paper.

• 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 Jacobson's density theorem? A short note explaining the name density theorem, using some elementary topology.