Schäfer, Björn; Tobolski, Mariusz. Voltage quantum graphs and a Gross-Tucker theorem for quantum graphs. arXiv:2602.20996
Tobolski, Mariusz. On morphisms of topological quivers. arXiv:2506.23913 (accepted in Proc. Amer. Math. Soc.)
Gillespie, Matthew; Hall, Lucas; Jones, Benjamin; Tobolski, Mariusz. Principal Actions on Topological Quivers and Associated Operator Dynamics. arXiv:2503.16352 (accepted in Doc. Math.)
Chirvasitu, Alexander; Tobolski, Mariusz. Non-Commutative classifying spaces of groups via quasi-topologies and pro-C*-algebras. arXiv:2304.14681 (accepted in J. Noncommut. Geom.)
Gardella, Eusebio; Hajac, Piotr M.; Tobolski, Mariusz; Wu, Jianchao. The local-triviality dimension of actions of compact quantum groups. arXiv:1801.00767
Gothe, Atul; Quigg, John; Tobolski, Mariusz. Gluing topological graph C*-algebras. J. Topol. Anal. Online ready. February 2026.
Hajac, Piotr M.; Tobolski, Mariusz. From length-preserving pushouts of graphs to one-surjective pullbacks of graph algebras. J. Noncommut. Geom. 20 (2026), no. 2, 607-655.
Hall, Lucas; Huang, Leonard; Krajczok, Jacek; Tobolski, Mariusz. The covariant Stone–von Neumann theorem for locally compact quantum groups. Lett. Math. Phys. 115 (2025), no. 1, Paper No. 2, 24 pp.
Hajac, Piotr M.; Tobolski, Mariusz. The covariant functoriality of graph algebras. Bull. Lond. Math. Soc. 56 (2024), no. 11, 3269--3288.
Baraquin, Isabelle; Franz, Uwe; Gerhold, Malte; Kula, Anna; Tobolski, Mariusz. Free resolutions for free unitary quantum groups and universal cosovereign Hopf algebras. J. Lond. Math. Soc. (2) 109 (2024), no. 4, Paper No. e12898, 50 pp.
Tobolski, Mariusz. Noncommutative numerable principal bundles from group actions on C*-algebras. J. Geom. Phys. 200 (2024), Paper No. 105176, 20 pp.
Chirvasitu, Alexandru; Dąbrowski, Ludwik; Tobolski, Mariusz. The Bestvina-Edwards theorem and the Hilbert-Smith conjecture. Kyoto J. Math. 62 (2022), no. 3, 523--545.
Arici, Francesca; D'Andrea, Francesco; Hajac, Piotr M.; Tobolski, Mariusz. An equivariant pullback structure of trimmable graph C*-algebras. J. Noncommut. Geom. 16 (2022), no. 3, 761--785.
Chirvasitu, Alexandru; Hajac, Piotr M.; Tobolski, Mariusz. Non-surjective pullbacks of graph C*-algebras from non-injective pushouts of graphs. Bull. Lond. Math. Soc. 53 (2021), no. 1, 1--15.
Chirvasitu, Alexandru; Passer, Benjamin; Tobolski, Mariusz. Equivariant dimensions of graph C*-algebras. J. Funct. Anal. 280 (2021), no. 6, Paper No. 108912, 32 pp.
Hajac, Piotr M.; Reznikoff, Sarah; Tobolski, Mariusz. Pullbacks of graph C*-algebras from admissible pushouts of graphs. Quantum dynamics—dedicated to Professor Paul Baum, 169--178, Banach Center Publ., 120, Polish Acad. Sci. Inst. Math., Warsaw, 2020.
Arici, Francesca; Hajac, Piotr M.; Tobolski, Mariusz. Associated noncommutative vector bundles over the Vaksman-Soibelman quantum complex projective spaces. Quantum dynamics—dedicated to Professor Paul Baum, 161--168, Banach Center Publ., 120, Polish Acad. Sci. Inst. Math., Warsaw, 2020.
Hajac, Piotr M.; Kaygun, Atabey; Tobolski, Mariusz. A graded pullback structure of Leavitt path algebras of trimmable graphs. Quantum dynamics—dedicated to Professor Paul Baum, 47--52, Banach Center Publ., 120, Polish Acad. Sci. Inst. Math., Warsaw, 2020.
Dawid, Sebastian M.; Głazek, Stanisław D.; Gonsior, Rafał; Kwapisz, Jan; Serafin, Kamil; Tobolski, Mariusz. Renormalization group procedure for potential -g/r^2. Phys. Lett. B 777 (2018), 260--264.
Herranz, Francisco J.; de Lucas, Javier; Tobolski, Mariusz. Lie-Hamilton systems on curved spaces: a geometrical approach. J. Phys. A 50 (2017), no. 49, 495201, 23 pp.
de Lucas, J.; Tobolski, M.; Vilariño, S. Geometry of Riccati equations over normed division algebras. J. Math. Anal. Appl. 440 (2016), no. 1, 394--414.
de Lucas, Javier; Tobolski, Mariusz; Vilariño, Silvia. A new application of k-symplectic Lie systems. Int. J. Geom. Methods Mod. Phys. 12 (2015), no. 7, 1550071, 6 pp.