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• #### Hochschild cohomology of ring objects in monoidal categories ﻿

(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 ﻿

(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 ﻿

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

(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 ...