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Publikationen

Scientific Papers

1 Michael Cuntz: Fusion algebras for imprimitive complex reflection groups. J. Algebra 311,1 (2007), 251--267.
2 Michael Cuntz: Integral modular data and congruences. J. Algebraic Combinatorics 29 (2009), 357--387.
3 Michael Cuntz: Classification of Fusion Categories. Oberwolfach Reports, Arbeitsgemeinschaft: Conformal Field Theory 4,2 (2007).
4 Michael Cuntz: Fusion algebras with negative structure constants. J. Algebra 319 (2008), 4536--4558.
5 Michael Cuntz, Istvan Heckenberger: Weyl groupoids with at most three objects. J. Pure Appl. Algebra 213,6 (2009), 1112--1128.
6 Michael Cuntz, Istvan Heckenberger: Weyl groupoids of rank two and continued fractions. Algebra & Number Theory 3 (2009), 317--340.
7 Michael Cuntz, Christopher Goff: An isomorphism between the fusion algebras of $V_L^+$ and type $D^{(1)}$ level $2$. (2008).
8 Michael Cuntz, Istvan Heckenberger: Reflection groupoids of rank two and cluster algebras of type $A$. J. Combin. Theory Ser. A 118,4 (2011), 1350--1363.
9 Michael Cuntz, Istvan Heckenberger: Finite Weyl groupoids of rank three. Trans. Amer. Math. Soc. 364 (2012), 1369--1393.
10 Michael Cuntz: Minimal fields of definition for simplicial arrangements in the real projective plane. Innov. Incidence Geom. 12 (2011), 49--60.
11 Michael Cuntz: Crystallographic arrangements: Weyl groupoids and simplicial arrangements. Bull. London Math. Soc. 43,4 (2011), 734--744.
12 Michael Cuntz, Istvan Heckenberger: Finite Weyl groupoids. J. Reine Angew. Math. 702 (2015), 77--108.
13 Mohamed Barakat, Michael Cuntz: Coxeter and crystallographic arrangements are inductively free. Adv. Math. 229,1 (2012), 691--709.
14 Michael Cuntz, Yue Ren, Guenther Trautmann: Strongly symmetric smooth toric varieties. Kyoto J. Math. 52,3 (2012), 597--620.
15 Michael Cuntz: Simplicial arrangements with up to 27 lines. Discrete Comput. Geom. 48,3 (2012), 682--701.
16 Michael Cuntz: Klassifikation simplizialer Arrangements mit dem Computer. Computeralgebra Rundbrief 50 (März 2012).
17 Michael Cuntz: A lecture on finite Weyl groupoids. Oberwolfach (October 2012), 1--14.
18 Michael Cuntz, Christian Stump: On root posets for noncrystallographic root systems. Math. Comp. 84,291 (2015), 485--503.
19 Michael Cuntz, David Geis: Combinatorial simpliciality of arrangements of hyperplanes. Beitr. Algebra Geom. 56,2 (2015), 439--458.
20 Michael Cuntz, Torsten Hoge: Free but not recursively free arrangements. Proc. Amer. Math. Soc. 143,1 (2015), 35--40.
21 Takuro Abe, Mohamed Barakat, Michael Cuntz, Torsten Hoge, Hiroaki Terao: The freeness of ideal subarrangements of Weyl arrangements. J. Eur. Math. Soc. 18,6 (2016), 1339--1348.
22 Michael Cuntz: Frieze patterns as root posets and affine triangulations. European J. Combin. 42 (2014), 167--178.
23 Takuro Abe, Michael Cuntz, Hiraku Kawanoue, Takeshi Nozawa: Non-recursively freeness and non-rigidity. Discrete Mathematics. 339,5 (2016), 1430--1449.
24 Michael Cuntz, Simon Lentner: A simplicial complex of Nichols algebras. Math. Z. 285, no. 3-4 (2017), 647–-683.
25 Michael Cuntz: On wild frieze patterns. Exp. Math. 26,3 (2017), 342--348.
26 Michael Cuntz, Bernhard Mühlherr, Christian J. Weigel: Simplicial arrangements on convex cones. to appear in Rend. Semin. Mat. Univ. Padova (2016).
27 Michael Cuntz: On subsequences of quiddity cycles and Nichols algebras. preprint (2016).
28 Michael Cuntz: (22_4) and (26_4) configurations of lines. to appear in Ars Math. Contemp. (2017).
29 Jürgen Bokowski, Michael Cuntz: Hurwitz’s regular map (3,7) of genus 7: a polyhedral realization. preprint (2017).

Theses

1 Michael Cuntz: Explizite Realisierung von semidirekten Produkten mit abelschem Kern als Galoisgruppen. Diplomarbeit. Universitaet Heidelberg (2002).
2 Michael Cuntz: Fourier-Matrizen und Ringe mit Basis. Dissertation. Universitaet Kassel (2005).
3 Michael Cuntz: Finite Weyl groupoids and crystallographic arrangements. Habilitationsschrift. Universitaet Kaiserslautern (2010).