Seminars Conferences Teaching Positions

Website of Damian Osajda


(with Jingyin Huang) Helly meets Garside and Artin, submitted (2019).

(with Piotr Przytycki) Tits Alternative for groups acting properly on 2-dimensional recurrent complexes (with an appendix written jointly with Jon McCammond), submitted (2019).

(with Sergey Norin and Piotr Przytycki) Torsion groups do not act on 2-dimensional CAT(0) complexes, submitted (2019).

(with Alexandre Martin) A combination theorem for combinatorially non-positively curved complexes of hyperbolic groups, Math. Proc. Cambridge Philos. Soc., to appear (2019).

(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, submitted (2017).

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

Normal subgroups of SimpHAtic groups, submitted (2015).

(with Jeremie Chalopin, Victor Chepoi and Hiroshi Hirai) Weakly modular graphs and nonpositive curvature, Mem. Amer. Math. Soc., to appear (2018).

Small cancellation labellings of some infinite graphs and applications, submitted (2014).

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

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

(with Jacek Swiatkowski) 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 Jeremie 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 Bostjan Bresar, Jeremie 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).