Website of Damian Osajda

(with Chris Karpinski and Piotr Przytycki) Weak Tits alternative for uniform lattices in buildings, submitted (2023).

(with Piotr Przytycki) Coxeter groups are biautomatic, submitted (2022).

(with Thomas Haettel) Locally elliptic actions, torsion groups, and nonpositively curved spaces, submitted (2021).

(with Piotr Przytycki) Tits Alternative for 2-dimensional CAT(0) complexes, Forum Math. Pi 10 (2022), Paper No. e25, 19 pp.

(with Motiejus Valiunas) Helly groups, coarsely Helly groups, and relative hyperbolicity, Trans. Amer. Math. Soc. (2022), doi:10.1090/tran/8727.

(with Zachary Munro and Piotr Przytycki) 2-dimensional Coxeter groups are biautomatic, Proc. Roy. Soc. Edinburgh Sect. A 152 (2022), no. 2, 382-401.

(with Jérémie Chalopin, Victor Chepoi, Anthony Genevois and Hiroshi Hirai) Helly groups, Geom. Topol., to appear (2023).

(with Jingyin Huang) Helly meets Garside and Artin, Invent. Math. 225 (2021), no. 2, 395-426.

(with Piotr Przytycki) Tits Alternative for groups acting properly on 2-dimensional recurrent complexes (with an appendix written jointly with Jon McCammond), Adv. Math. 391 (2021), Paper No. 107976, 22 pp.

(with Sergey Norin and Piotr Przytycki) Torsion groups do not act on 2-dimensional CAT(0) complexes, Duke Math. J. 171 (2022), no. 6, 1379-1415.

(with Alexandre Martin) A combination theorem for combinatorially non-positively curved complexes of hyperbolic groups, Math. Proc. Cambridge Philos. Soc. 170 (2021), no. 3, 445-477.

(with Nima Hoda) Two-dimensional systolic complexes satisfy Property A, Internat. J. Algebra Comput. 28 (2018), no. 7, 1247-1254.

(with Jingyin Huang) Quasi-Euclidean tilings over 2-dimensional Artin groups and their applications, Mem. Amer. Math. Soc., to appear (2020).

(with Jingyin Huang) Metric systolicitiy and two-dimensional Artin groups, Math. Ann. 374 (2019), no. 3-4, 1311-1352.

(with Jingyin Huang) Large-type Artin groups are systolic, Proc. Lond. Math. Soc. 120 (2020), no. 1, 95-123.

Residually finite non-exact groups, Geom. Funct. Anal. 28 (2018), no. 2, 509-517.

Group cubization (with an appendix by Mikael Pichot), Duke Math. J. 167 (2018), no. 6, 1049-1055.

(with Tomasz Prytuła) Classifying spaces for families of subgroups for systolic groups, Groups Geom. Dyn. 12 (2018), no. 3, 1005-1060.

Normal subgroups of SimpHAtic groups, J. Topol. Anal. (2021), doi:10.1142/S1793525321500515.

(with Jérémie Chalopin, Victor Chepoi and Hiroshi Hirai) Weakly modular graphs and nonpositive curvature, Mem. Amer. Math. Soc., 268 (2020), no. 1309.

Small cancellation labellings of some infinite graphs and applications, Acta Math. 225 (2020), no. 1, 159-191.

(with Goulnara Arzhantseva) Graphical small cancellation groups with the Haagerup property, preprint (2014).

Combinatorial negative curvature and triangulations of three-manifolds, Indiana Univ. Math. J. 64 (2015), no. 3, 943-956.

(with Jacek Świątkowski) On asymptotically hereditarily aspherical groups, Proc. Lond. Math. Soc. 111 (2015), no. 1, 93-126.

A combinatorial non-positive curvature I: weak systolicity, preprint (2013).

(with Jérémie Chalopin and Victor Chepoi) On two conjectures of Maurer concerning basis graphs of matroids, J. Combin. Theory Ser. B 114 (2015), 1-32.

(with Goulnara Arzhantseva) Infinitely presented small cancellation groups have the Haagerup property, J. Topol. Anal. 7 (2015), 389-406.

(with Sebastian Hensel and Piotr Przytycki) Realisation and dismantlability, Geom. Topol. 18 (2014), 2079-2126.

(with Boštjan Brešar, Jérémie Chalopin, Victor Chepoi and Tanja Gologranc) Bucolic complexes, Adv. Math. 243 (2013), 127-167.

A construction of hyperbolic Coxeter groups, Comment. Math. Helv. 88 (2013), no. 2, 353-367.

(with Victor Chepoi) Dismantlability of weakly systolic complexes and applications, Trans. Amer. Math. Soc. 367 (2015), no. 2, 1247-1272.

(with Piotr Przytycki) Boundaries of systolic groups, Geom. Topol. 13 (2009), 2807-2880.

Ideal boundary of 7-systolic complexes and groups, Algebr. Geom. Topol. 8 (2008), no. 1, 81-99.

Connectedness at infinity of systolic complexes and groups, Groups Geom. Dyn. 1 (2007), 183-203.

(with Jan Dymara) Boundaries of right-angled hyperbolic buildings, Fund. Math. 197 (2007), 123-165.

The topology of the punctured Banach-Mazur compacta, preprint (2003).