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Apl. Prof. Dr.  Thorsten Holm

https://orcid.org/0000-0003-1840-0304
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Publications

  1. 2024
  2. E-pub ahead of print

    Non-commutative friezes and their determinants, the non-commutative Laurent phenomenon for weak friezes, and frieze gluing

    Cuntz, M., Holm, T. & Jørgensen, P., 17 Oct 2024, (E-pub ahead of print) 26 p.

    Research output: Working paper/Preprint › Preprint

  3. Published

    Frieze patterns over algebraic numbers

    Cuntz, M., Holm, T. & Pagano, C., 2 Apr 2024, In: Bulletin of the London Mathematical Society. 56, 4, p. 1417-1432 16 p.

    Research output: Contribution to journal › Article › Research › peer review

  4. E-pub ahead of print

    Noncommutative frieze patterns with coefficients

    Cuntz, M., Holm, T. & Jorgensen, P., 15 Mar 2024, (E-pub ahead of print) 18 p.

    Research output: Working paper/Preprint › Preprint

  5. Published

    Weak friezes and frieze pattern determinants

    Holm, T. & Jorgensen, P., 2024, In: Proceedings of the American Mathematical Society. 152, 4, p. 1479-1491 13 p.

    Research output: Contribution to journal › Article › Research › peer review

  6. 2023
  7. Published

    Virtual mutations of weighted surface algebras

    Holm, T., Skowroński, A. & Skowyrski, A., 1 Apr 2023, In: Journal of Algebra. 619, p. 822-859 38 p.

    Research output: Contribution to journal › Article › Research › peer review

  8. 2021
  9. Published

    Subpolygons in Conway-Coxeter frieze patterns

    Cuntz, M. & Holm, T., 2 Sept 2021, In: Algebraic Combinatorics. 4, 4, p. 741-755 15 p.

    Research output: Contribution to journal › Article › Research › peer review

  10. 2020
  11. Published

    Frieze patterns with coefficients

    Cuntz, M., Holm, T. & Jørgensen, P., 26 Mar 2020, In: Forum of Mathematics, Sigma. 8, e17.

    Research output: Contribution to journal › Article › Research › peer review

  12. Published

    A p-angulated Generalisation of Conway and Coxeter's Theorem on Frieze Patterns

    Holm, T. & Jørgensen, P., Jan 2020, In: International Mathematics Research Notices. 2020, 1, p. 71-90 20 p.

    Research output: Contribution to journal › Article › Research › peer review

  13. Published

    Modulare Arithmetik: Von den ganzen Zahlen zur Kryptographie

    Holm, T., 2020, 43 p. (Springer essentials)

    Research output: Book/Report › Monograph › Education

  14. 2019
  15. Published

    Cluster tilting subcategories and torsion pairs in Igusa–Todorov cluster categories of Dynkin type A∞

    Gratz, S., Holm, T. & Jørgensen, P., 1 Jun 2019, In: Mathematische Zeitschrift. 292, 1-2, p. 33-56 24 p.

    Research output: Contribution to journal › Article › Research › peer review

  16. Published

    Frieze patterns over integers and other subsets of the complex numbers

    Cuntz, M. & Holm, T., 27 Mar 2019, In: Journal of Combinatorial Algebra. 3, 2, p. 153-188 36 p.

    Research output: Contribution to journal › Article › Research › peer review

  17. 2018
  18. Published

    Algebras and Representation Theory

    Erdmann, K. & Holm, T., 2018, (Springer Undergraduate Mathematics Series)

    Research output: Book/Report › Monograph › Education › peer review

  19. 2017
  20. Published

    All SL2-tilings come from infinite triangulations

    Bessenrodt, C., Holm, T. & Jørgensen, P., 31 Jul 2017, In: Advances in mathematics. 315, p. 194-245 52 p.

    Research output: Contribution to journal › Article › Research › peer review

  21. 2016
  22. Published

    Generalised friezes and a modified Caldero-Chapoton map depending on a rigid object, II

    Holm, T. & Jørgensen, P., 1 May 2016, In: Bulletin des Sciences Mathematiques. 140, 4, p. 112-131 20 p.

    Research output: Contribution to journal › Article › Research › peer review

  23. 2015
  24. Published

    Cluster tilting vs. weak cluster tilting in Dynkin type A infinity

    Holm, T. & Jørgensen, P., 1 Mar 2015, In: Forum mathematicum. 27, 2, p. 1117-1137 21 p.

    Research output: Contribution to journal › Article › Research › peer review

  25. Published

    Generalized friezes and a modified Caldero-Chapoton map depending on a rigid object

    Holm, T. & Jørgensen, P., 2015, In: Nagoya mathematical journal. 218, 1, p. 101-124 24 p.

    Research output: Contribution to journal › Article › Research › peer review

  26. 2014
  27. Published

    Towards derived equivalence classification of the cluster-tilted algebras of Dynkin type D

    Bastian, J., Holm, T. & Ladkani, S., 15 Jul 2014, In: Journal of algebra. 410, p. 277-332 56 p.

    Research output: Contribution to journal › Article › Research › peer review

  28. Published

    Torsion pairs in cluster tubes

    Holm, T., Jørgensen, P. & Rubey, M., May 2014, In: Journal of algebraic combinatorics. 39, 3, p. 587-605 19 p.

    Research output: Contribution to journal › Article › Research › peer review

  29. Published

    Generalized frieze pattern determinants and higher angulations of polygons

    Bessenrodt, C., Holm, T. & Jørgensen, P., Apr 2014, In: Journal of Combinatorial Theory. Series A. 123, 1, p. 30-42 13 p.

    Research output: Contribution to journal › Article › Research › peer review

  30. 2013
  31. Published

    Ptolemy diagrams and torsion pairs in the cluster categories of Dynkin type D

    Holm, T., Jørgensen, P. & Rubey, M., Oct 2013, In: Advances in applied mathematics. 51, 5, p. 583-605 23 p.

    Research output: Contribution to journal › Article › Research › peer review

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