Magnus Hellstrøm-Finnsen

Norwegian version of this page Department of Engineering

Norwegian version of this page Position

Associate Professor

Contact

magnus.hellstrom-finnsen@hiof.no

Study place

Fredrikstad

Office nr.

S-412

Academic interests

My research interests are mainly in (higher) categories, monoidal categories, homological algebra and related fields.

Philosophiae doctor, NTNU, 2018.
Master of Science and Technology, NTNU, 2014.

Temporary teaching position, HiØ, 2019-
Temporary teaching position, NTNU, 2018-2019.
PhD-candidate, NTNU, 2014-2018.

Hellstrøm-Finnsen, Magnus (2020). Hochschild Cohomology, Monoid Objects and Monoidal Categories. Bulletin of the Iranian Mathematical Society (BIMS). ISSN 1018-6301. doi: 10.1007/s41980-020-00443-0. Full text in Research Archive Show summary
This paper expands further on a category theoretical formulation of Hochschild cohomology for monoid objects in monoidal categories enriched over abelian groups, which has been studied in Hellstrøm-Finnsen (Commun Algebra 46(12):5202–5233, 2018). This topic was also presented at ISCRA, Isfahan, Iran, April 2019. The present paper aims to provide a more intuitive formulation of the Hochschild cochain complex and extend the definition to Hochschild cohomology with values in a bimodule object. In addition, an equivalent formulation of the Hochschild cochain complex in terms of a cosimplicial object in the category of abelian groups is provided.
Hellstrøm-Finnsen, Magnus (2018). Hochschild cohomology of ring objects in monoidal categories . Communications in Algebra. ISSN 0092-7872. doi: 10.1080/00927872.2018.1461888. Full text in Research Archive
Erdmann, Karin & Hellstrøm-Finnsen, Magnus (2018). Hochschild cohomology of some quantum complete intersections. Journal of Algebra and its Applications. ISSN 0219-4988. 17(11). doi: 10.1142/S0219498818502158. Full text in Research Archive

Hellstrøm-Finnsen, Magnus (2022). Hochschild Cohomology of Monads.
Hellstrøm-Finnsen, Magnus (2022). Hochschild Cohomology of Monads .
Hellstrøm-Finnsen, Magnus (2022). Hochschild cohomology of monads .
Hellstrøm-Finnsen, Magnus (2019). Hochschild cohomology of monoids in monoidal categories . Show summary
We define the Hochschild complex and cohomology of a ring object in a monoidal category enrichedover abelian groups. We interpret the cohomology groups and prove that the cohomology ring is gradedcommutative.
Hellstrøm-Finnsen, Magnus (2017). Hochschild cohomology, monoidal categories and quantum complete intersections. NTNU. ISSN 978-82-326-2822-3.

Published Oct. 24, 2019 10:57 AM - Last modified Jan. 9, 2020 7:21 PM