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Prof. Dr.  Michael Cuntz

https://orcid.org/0000-0003-1016-3383
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Publications

  1. 2024

  2. E-pub ahead of print

    Singular plane curves: freeness and combinatorics

    Cuntz, M. & Pokora, P., 23 Nov 2024, (E-pub ahead of print) 17 p.

    Research output: Working paper/Preprint › Preprint

  3. 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

  4. Accepted/In press

    A classification of generalized root systems

    Cuntz, M. & Mühlherr, B., 25 Jul 2024, (Accepted/In press) 11 p.

    Research output: Working paper/Preprint › Preprint

  5. E-pub ahead of print

    Frieze patterns over finite commutative local rings

    Cuntz, M. & Böhmler, B. K., 17 Jul 2024, (E-pub ahead of print) 17 p.

    Research output: Working paper/Preprint › Preprint

  6. 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

  7. 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

  8. 2023

  9. Accepted/In press

    On arrangements of hyperplanes from connected subgraphs

    Cuntz, M. & Kühne, L., 16 Nov 2023, (Accepted/In press) 22 p.

    Research output: Working paper/Preprint › Preprint

  10. E-pub ahead of print

    Comptage des quiddités sur les corps finis et sur quelques anneaux ℤ/Nℤ

    Cuntz, M. & Mabilat, F., 6 Apr 2023, (E-pub ahead of print) 32 p.

    Research output: Working paper/Preprint › Preprint

  11. Published

    Higher braidings of diagonal type

    Cuntz, M. & Ohrmann, T., 6 Apr 2023, In: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 19, 019, 23 p., 019.

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

  12. Published

    Grassmannians over rings and subpolygons

    Cuntz, M., 13 Jan 2023, In: International Mathematics Research Notices. 2023, 9, p. 8078-8099 22 p., rnac350.

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

  13. 2022

  14. Published

    A Greedy Algorithm to Compute Arrangements of Lines in the Projective Plane

    Cuntz, M., Jul 2022, In: Discrete & computational geometry. 68, 1, p. 107-124 18 p.

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

  15. Published

    Congruence Normality of Simplicial Hyperplane Arrangements via Oriented Matroids

    Cuntz, M., Elia, S. & Labbé, J. P., Mar 2022, In: Annals of combinatorics. 26, 1, 85 p.

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

  16. 2021

  17. 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

  18. Published

    A bound for crystallographic arrangements

    Cuntz, M., 15 May 2021, In: Journal of algebra. 574, p. 50-69 20 p.

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

  19. Published

    Friezes satisfying higher slk-determinants

    Baur, K., Faber, E., Gratz, S., Serhiyenko, K., Todorov, G., Cuntz, M. & Plamondon, P. G., 1 Mar 2021, In: Algebra and Number Theory. 15, 1, p. 29-68 40 p.

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

  20. 2020

  21. Published

    "Le compte est bon" lösen mit Computeralgebra

    Cuntz, M., Oct 2020, In: Computeralgebra Rundbrief. 67, p. 19-21

    Research output: Contribution to journal › Article › Transfer

  22. 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

  23. Published

    Tits arrangements on cubic curves

    Cuntz, M. & Geis, D., 10 Mar 2020, In: Innov. Incidence Geom.. 18, 1, p. 7-24 18 p.

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

  24. Published

    MAT-free reflection arrangements

    Cuntz, M. & Mücksch, P., 24 Jan 2020, In: Electronic Journal of Combinatorics. 27, 1, P1.28.

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

  25. 2019

  26. Published

    On the Tits cone of a Weyl groupoid

    Cuntz, M., Mühlherr, B. & Weigel, C. J., 2 Dec 2019, In: Communications in algebra. 47, 12, p. 5261-5285 25 p.

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

  27. Published

    Arrangements of ideal type are inductively free

    Cuntz, M., Röhrle, G. & Schauenburg, A., Aug 2019, In: International Journal of Algebra and Computation. 29, 5, p. 761-773 13 p.

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

  28. Published

    Supersolvable simplicial arrangements

    Cuntz, M. & Mücksch, P., Jun 2019, In: Advances in applied mathematics. 107, p. 32-73 42 p.

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

  29. 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

  30. Published

    A combinatorial model for tame frieze patterns

    Cuntz, M., 2019, In: Münster J. Math.. 12, 1, p. 49-56 8 p.

    Research output: Contribution to journal › Article › Research

  31. 2018

  32. Published

    On subsequences of quiddity cycles and Nichols algebras

    Cuntz, M., 15 May 2018, In: Journal of algebra. 502, p. 315-327 13 p.

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

  33. 2017

  34. E-pub ahead of print

    Hurwitz's regular map $(3,7)$ of genus 7: A polyhedral realization

    Bokowski, J. & Cuntz, M., 10 Nov 2017, (E-pub ahead of print) In: The Art of Discrete and Applied Mathematics. 1, 1, e1010.

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

  35. E-pub ahead of print

    (224) and (264) configurations of lines

    Cuntz, M. J., 8 Aug 2017, (E-pub ahead of print) In: Ars mathematica contemporanea. 14, 1, p. 157-163 7 p.

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

  36. Published

    On Wild Frieze Patterns

    Cuntz, M., 3 Jul 2017, In: Experimental mathematics. 26, 3, p. 342-348 7 p.

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

  37. Published

    A simplicial complex of Nichols algebras

    Cuntz, M. & Lentner, S., 1 Apr 2017, In: Mathematische Zeitschrift. 285, 3-4, p. 647-683 37 p.

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

  38. Published

    Simplicial arrangements on convex cones

    Cuntz, M., Muhlherr, B. & Weigel, C. J., 1 Jan 2017, In: Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova. 138, p. 147-191 45 p.

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

  39. 2016

  40. Published

    Non-recursive freeness and non-rigidity

    Abe, T., Cuntz, M., Kawanoue, H. & Nozawa, T., 6 May 2016, In: Discrete mathematics. 339, 5, p. 1430-1449 20 p.

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

  41. Published

    The freeness of ideal subarrangements of Weyl arrangements

    Abe, T., Barakat, M., Cuntz, M., Hoge, T. & Terao, H., 25 Apr 2016, In: Journal of the European Mathematical Society. 18, 6, p. 1339-1348 10 p.

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

  42. 2015

  43. Published

    Combinatorial simpliciality of arrangements of hyperplanes

    Cuntz, M. & Geis, D., 28 Oct 2015, In: Beitrage zur Algebra und Geometrie. 56, 2, p. 439-458 20 p.

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

  44. External

    Finite Weyl groupoids

    Cuntz, M. & Heckenberger, I., 1 May 2015, In: Journal fur die Reine und Angewandte Mathematik. 2015, 702, p. 77-108 32 p.

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

  45. Published

    Free but not recursively free arrangements

    Cuntz, M. & Hoge, T., 1 Jan 2015, In: Proceedings of the American Mathematical Society. 143, 1, p. 35-40 6 p.

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

  46. Published

    On root posets for noncrystallographic root systems

    Cuntz, M. & Stump, C., 1 Jan 2015, In: Mathematics of computation. 84, 291, p. 485-503 19 p.

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

  47. 2014

  48. Published

    Frieze patterns as root posets and affine triangulations

    Cuntz, M., Nov 2014, In: European journal of combinatorics. 42, p. 167-178 12 p.

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

  49. 2012

  50. External

    Simplicial Arrangements with up to 27 Lines

    Cuntz, M., 1 Oct 2012, In: Discrete and Computational Geometry. 48, 3, p. 682-701 20 p.

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

  51. External

    Strongly symmetric smooth toric varieties

    Cuntz, M., Ren, Y. & Trautmann, G., 1 Sept 2012, In: Kyoto journal of mathematics. 52, 3, p. 597-620 24 p.

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

  52. External

    Coxeter and crystallographic arrangements are inductively free

    Barakat, M. & Cuntz, M., 15 Jan 2012, In: Advances in mathematics. 229, 1, p. 691-709 19 p.

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

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