• Hochschild cohomology of ring objects in monoidal categories 

      Hellstrøm-Finnsen, Magnus (Journal article; Peer reviewed, 2018)
      We define the Hochschild complex and cohomology of a ring object in a monoidal category enriched over abelian groups. We interpret the cohomology groups and prove that the cohomology ring is graded-commutative.
    • Permutations, power operations, and the center of the category of racks 

      Szymik, Markus (Journal article, 2018)
      Racks and quandles are rich algebraic structures that are strong enough to classify knots. Here we develop several fundamental categorical aspects of the theories of racks and quandles and their relation to the theory of ...