Publications

Published articles:

• Marczinzik, René: On self-orthogonal modules in Iwanaga-Gorenstein rings. Annals of Representation Theory, Volume 1 (2024) no. 1, pp. 67-70. 

• Erdmann, Karin; Klász, Viktória, Marczinzik, René (with an appendix by Bernhard Böhmler and René Marczinzik): Selfextensions of modules over group algebras. Journal of Algebra Volume 649, 1 July 2024, Pages 319-346.

• Chen, Xiao-Wu; Iyengar, Srikanth B.; Marczinzik, René: Homological dimensions of the Jacobson radical. https://arxiv.org/abs/2210.08691. To appear in Proceedings of the AMS.

• Marczinzik, René: On total stability conditions for Dynkin quivers. Bulletin of the London Mathematical Society. https://doi.org/10.1112/blms.12765.

• Böhmler, Bernhard; Marczinzik, René: On the extension-closed property for the subcategory Tr(Ω^2(mod−A)). Algebr Represent Theor (2022). https://doi.org/10.1007/s10468-022-10140-7.

• Marczinzik, René; Sen, Emre: A new characterization of quasi-hereditary Nakayama algebras and applications. Comm. Algebra (2022), https://doi.org/10.1080/00927872.2022.2063301.

• Marczinzik, René; Vaso, Laertis: Existence of a 2-cluster tilting module does not imply finite complexity. J. Algebra 598 (2022), 385–391.

• Iyama, Osamu; Marczinzik, René: Distributive lattices and Auslander regular algebras. Adv. Math. 398 (2022).

• Böhmler, Bernhard; Marczinzik, René: A cluster tilting module for a representation-infinite block of a group algebra. J. Algebra 589 (2022), 483–494.

• Li, Shen; Marczinzik, René; Zhang, Shunhua: Gorenstein projective dimensions of modules over minimal Auslander-Gorenstein algebras. Algebra Colloq. 28 (2021), no. 2, 337–350.

• Cruz, Tiago; Marczinzik, René: On properly stratified Gorenstein algebras. J. Pure Appl. Algebra 225 (2021), no. 12.

• Marczinzik, René: On a conjecture about dominant dimensions of algebras. J. Algebra 565 (2021), 582–597. 

• Marczinzik, René; Rubey, Martin; Stump, Christian: A combinatorial classification of 2-regular simple modules for Nakayama algebras. J. Pure Appl. Algebra 225 (2021), no. 3.

• Madsen, Dag Oskar; Marczinzik, René; Zaimi, Gjergji: On the classification of higher Auslander algebras for Nakayama algebras. J. Algebra 556 (2020), 776–805.

• Marczinzik, René: On the injective dimension of the Jacobson radical. Proc. Amer. Math. Soc. 148 (2020), no. 4, 1481–1485.

• Marczinzik, René: On modules M with τ(M)≅νΩ^{d+2}(M) for isolated singularities of Krull dimension d. Proc. Amer. Math. Soc. 148 (2020), no. 2, 527–534.

• Marczinzik, René: Simple reflexive modules over Artin algebras. J. Algebra Appl. 18 (2019), no. 10, 1950193, 8 pp.

• Marczinzik, René: Monomial algebras of dominant dimension at least two. Comm. Algebra 47 (2019), no. 4, 1829–1834.

• Marczinzik, René: The finiteness of the Gorenstein dimension for Artin algebras. J. Algebra Appl. 18 (2019), no. 6, 1950112, 8 pp.

• Kvamme, Sondre; Marczinzik, René: Co-Gorenstein algebras. Appl. Categ. Structures 27 (2019), no. 3, 277–287.

• Marczinzik, René: On a new formula for the Gorenstein dimension. J. Algebra 526 (2019), 104–111.

• Chan, Aaron; Marczinzik, René: On representation-finite gendo-symmetric biserial algebras. Algebr. Represent. Theory 22 (2019), no. 1, 141–176.

• Chan, Aaron; Iyama, Osamu; Marczinzik, René: Auslander-Gorenstein algebras from Serre-formal algebras via replication. Adv. Math. 345 (2019), 222–262.

• Madsen, Dag Oskar; Marczinzik, René: On bounds of homological dimensions in Nakayama algebras. Proc. Amer. Math. Soc. Ser. B 5 (2018), 40–49.

• Marczinzik, René: On minimal Auslander-Gorenstein algebras and standardly stratified algebras. J. Pure Appl. Algebra 222 (2018), no. 12, 4068–4081.

• Böhmler, Bernhard; Marczinzik, René: On a conjecture about Morita algebras. J. Algebra 508 (2018), 569–574.

• Marczinzik, René: On a problem about simple modules in Gorenstein algebras. J. Algebra 502 (2018).

• Marczinzik, René: Upper bounds for the dominant dimension of Nakayama and related algebras. J. Algebra 496 (2018), 216–241.

• Marczinzik, René: Upper bounds for dominant dimensions of gendo-symmetric algebras. Arch. Math. (Basel) 109 (2017), no. 3, 231–243.

• Marczinzik, René: A bocs theoretic characterization of gendo-symmetric algebras. J. Algebra 470 (2017), 160–171.

Conference proceedings:

• Marczinzik, René: On generalisations of Iwanaga-Gorenstein algebras. In Oberwolfach Workshop Report 2020,3. https://publications.mfo.de/handle/mfo/3746.

• Chan, Aaron; Iyama, Osamu; Marczinzik, René: Two constructions on Iwanaga-Gorenstein algebras. Proceedings of the 50th Symposium on Ring Theory and Representation Theory, 23–27, Symp. Ring Theory Represent. Theory Organ. Comm., Yamanashi, 2018. 

• Chan, Aaron; Marczinzik, René: On representation-finite gendo-symmetric biserial algebras. Proceedings of the 49th Symposium on Ring Theory and Representation Theory, 18–22, Symp. Ring Theory Represent. Theory Organ. Comm., Shimane, 2017.

Preprints:

• Cruz, Tiago; Marczinzik, René : Higher torsion-free Auslander-Reiten sequences and the dominant dimension of algebras. https://arxiv.org/abs/2404.0227.

• Klász, Viktória; Marczinzik, René; Marquardt, Judith : Nakayama algebras of small homological dimension and pattern avoiding permutations. https://arxiv.org/abs/2403.11359.

• Chan, Aaron; Iyama, Osamu; Marczinzik, René: Dominant Auslander-Gorenstein algebras and Koszul duality. https://arxiv.org/abs/2210.06180.

• Chavli, Eirini; Marczinzik, René: Homological algebra of Nakayama algebras and 321-avoiding permutations. https://arxiv.org/abs/2204.13764.

• Marczinzik, René; Thomas, Hugh; Yıldırım, Emine: On the interaction of the Coxeter transformation and the rowmotion bijection. https://arxiv.org/abs/2201.04446.

• Chan, Aaron; Darpö, Erik; Iyama, Osamu; Marczinzik, René: Periodic trivial extension algebras and fractionally Calabi-Yau algebras. https://arxiv.org/abs/2012.11927.

• Marczinzik, René: A bimodule approach to dominant dimension. https://arxiv.org/abs/2005.08656. Not intended for publication. The results will be generalised in joint work with Tiago Cruz in forthcoming work.

• Marczinzik, René: Selfextensions of modules for Nakayama and Brauer tree algebras.  https://arxiv.org/abs/1908.11301. Not intended for publication. The results got generalised in the article Selfextensions of modules over group algebras. Journal of Algebra Volume 649, 1 July 2024, Pages 319-346.

• Marczinzik, René: Gendo-symmetric algebras, dominant dimensions and Gorenstein homological algebra. https://arxiv.org/abs/1608.04212.