Sondre Kvamme

Research group: Algebra
Office: 838 in Sentralbygg II
E-mail: sondre.kvamme(at)ntnu.no
Mail: Department of Mathematical Sciences
NTNU
7491 Trondheim
Norway

About me

I am an associate professor at the Norwegian University of Science and Technology in Norway. Here is my official homepage

From 2019-2021 I was a postdoc at Uppsala university, and from 2017-2019 I was a postdoc at Université Paris-Sud (now part of Université Paris-Saclay) with a grant from FMJH

Research interests: Higher Auslander-Reiten theory, Homological algebra, Homotopical algebra, Monomorphism categories, Representation theory of Artin algebras.

I am a production editor for Annals of representation theory, a diamond open-access journal covering all areas of representations theory!

Publications and Preprints

Collaborators: Jenny August Nan Gao Johanne Haugland Ruben Henrard Martin Herschend Karin M. Jacobsen Gustavo Jasso Julian Külshammer Rene Marczinzik Yann Palu Matthew Pressland Chrysostomos Psaroudakis Adam-Christiaan van Roosmalen Hipolito Treffinger Laertis Vaso Sven Ake-Wegner

Preprints

  1. Sondre Kvamme. Higher extension closure and d-exact categories (submitted)
    arXiv:2502.21064   Video

Publications

  1. Martin Herschend, Sondre Kvamme, and Laertis Vaso. nZ-cluster tilting subcategories for Nakayama algebras.
    Mathematische Zeitschrift. 309 (2025), no. 2, Paper No. 37, 40 pp.
    arXiv   Journal
  2. Jenny August, Johanne Haugland, Karin M. Jacobsen, Sondre Kvamme, Yann Palu, and Hipolito Treffinger. A characterisation of higher torsion classes
    Forum Math. Sigma 13 (2025), Paper No. e33, 36 pp.
    arXiv   Journal   Video
  3. Nan Gao, Julian Külshammer, Sondre Kvamme, Chrysostomos Psaroudakis. A functorial approach to monomorphism categories for species II: indecomposables
    Proc. Lond. Math. Soc. (3) 129 (2024), no. 4, Paper No. e12640, 61 pp.
    arXiv   Journal
  4. Ruben Henrard, Sondre Kvamme, Adam-Christiaan van Roosmalen, and Sven-Ake Wegner. The left heart and exact hull of an additive regular category
    Revista Matemática Iberoamericana 39 (2023), no. 2, pp. 439-494.
    arXiv   Journal
  5. Ruben Henrard, Sondre Kvamme, Adam-Christiaan van Roosmalen. Auslander's formula and correspondence for exact categories
    Advances in Mathematics 401 (2022), Paper No. 108296, 65 pp.
    arXiv   Journal   Video
  6. Nan Gao, Julian Külshammer, Sondre Kvamme, Chrysostomos Psaroudakis. A functorial approach to monomorphism categories for species I
    Communications in Contemporary Mathematics 24 (2022), no. 6, Paper No. 2150069, 55 pp
    arXiv   Journal
  7. Sondre Kvamme. Axiomatizing subcategories of abelian categories
    Journal of Pure and Applied Algebra 226 (2022), no. 4, Paper No. 106862, 27 pp.
    arXiv   Journal
  8. Sondre Kvamme. dZ-cluster tilting subcategories of singularity categories,
    Mathematische Zeitschrift 297, 803-825 (2021)
    arXiv   Journal   pdf
  9. Sondre Kvamme. A generalization of the Nakayama functor,
    Algebras and Representation Theory 23 (2020), no. 4, 1319-1353
    arXiv   Journal   Video
  10. Sondre Kvamme. Gorenstein projective objects in functor categories,
    Nagoya Mathematical Journal 240 (2020), 1-41
    arXiv   Journal
  11. Sondre Kvamme, Rene Marczinzik. Co-Gorenstein algebras,
    Applied Categorical Structures 27 (3) (2019): 277-287.
    arXiv   Journal   pdf
  12. Gustavo Jasso, Sondre Kvamme. An introduction to higher Auslander-Reiten theory,
    Bulletin of the London Mathematical Society 51 (1) (2019): 1-24
    arXiv   Journal

Proceedings, extended abstracts, appendices and other writings.

  1. Sondre Kvamme, An introduction to monomorphism categories,
    Proceedings of the 20th Workshop and International Conference on Representations of Algebras, EMS series of congress reports, Representations of Algebras and Related Topics, 333-384 (2025).
    arXiv   Journal
  2. Sondre Kvamme, Indecomposables in the separated monomorphism category,
    in: Representation theory of quivers and finite-dimensional algebras: Abstracts from the Oberwolfach workshop held February 12-18, 2023. Oberwolfach report 20 (2023), 397-486.
    Report
  3. Sondre Kvamme, Matthew Pressland. Auslander-Reiten translations for Gorenstein algebras,
    Appendix to Monomial Gorenstein algebras and the stably Calabi-Yau property, by Ana Garcia Elsener,
    Algebr. Represent. Theory 24 (2021), 1083-1099,
    arXiv   Journal
  4. Sondre Kvamme. Nakayama algebras associated to unbounded Kupisch series,
    Appendix to Higher Nakayama algebras I: Construction, by Gustavo Jasso and Julian Külshammer,
    Advances in Mathematics 351 (2019): 1139-1200
    arXiv   Journal
  5. Sondre Kvamme. Projectively generated d-abelian categories are d-cluster tilting,
    arXiv:1608.07985