• 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.
    • Hochschild cohomology of some quantum complete intersections 

      Erdmann, Karin; Hellstrøm-Finnsen, Magnus (Journal article; Peer reviewed, 2018)
      We compute the Hochschild cohomology ring of the algebras A = kX, Y /(Xa,XY − qY X, Y a) over a field k where a ≥ 2 and where q ∈ k is a primitive ath root of unity. We find the dimension of HHn(A) and show that it is ...
    • Hochschild cohomology, monoidal categories and quantum complete intersections 

      Hellstrøm-Finnsen, Magnus (Doctoral theses at NTNU;2018:6, Doctoral thesis, 2018)
    • The Homotopy Theory of (∞,1)-Categories 

      Hellstrøm-Finnsen, Magnus (Master thesis, 2014)
      The homotopy category of a stable (∞,1)-category can be endowed with a triangulated structure. The main objective of this thesis is to give a proof of this fact. First it will be discussed some ideas of higher category ...