[1] A. Klyachko, A. Olshanskii, D. Osin, On topologizable and non-topologizable groups, arXiv:1210.7895.
[2] M. Hull, D. Osin, Induced quasi-cocycles on groups with hyperbolically embedded subgroups, Alg. & Geom. Topology, to appear; arXiv:1203.5436.
[3] F. Dahmani, V. Guirardel, D. Osin, Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces, arXiv:1111.7048.
[4] A. Olshanskii, D. Osin, A quasi-isometric embedding theorem for groups, Duke Math. J., to appear; arXiv:1202.6437.
[5] D. Osin, A.Thom, Normal generation and $\ell^2$-betti numbers of groups, Math. Ann., to appear; arXiv:1108.2411.
[6] D. Osin, A. Ould Houcine, Finitely presented groups with infinitely many non-homeomorphic asymptotic cones, arXiv:1108.2100.
[7] M. Hull, D. Osin, Conjugacy growth of finitely generated groups, Adv. Math. 235 (2013), 361–389.
[8] D. Osin, Appendix to "Malnormal subgroups and Frobenius groups: basics and examples" by P. de la Harpe and C. Weber, arXiv:1104.3065.
[9] A. Myasnikov, D. Osin, Algorithmically finite groups, J. Pure App. Algebra 215 (2011), 2789-2796.
[10] W. Lück, D. Osin, Approximating the first $L^2$-betti number of residually finite groups, J. Topol. Analysis 3 (2011), no. 2, 153-160.
[11] D. Osin, M. Sapir, Universal tree-graded spaces and asymptotic cones, Internat. J. Algebra Comput. 21 (2011), no. 5, 793-824.
[12] A. Minasyan, D. Osin, Fixed subgroups of automorphisms of relatively hyperbolic groups, Quart. J. Math. 63 (2012), no. 3, 695-712.
[13] R. Gilman, A. Myasnikov, D. Osin, Exponentially generic subsets of groups, Illinois J. Math. 54 (2010), 371-388.
[14] D. Osin, Rank gradient and torsion groups, Bull. London Math. Soc. 43 (2011), 10-16.
[15] D. Osin, On the universal theory of torsion and lacunary hyperbolic groups, Groups, Complexity & Cryptology, 1 (2009), no. 2, 311-319.
[16] A. Minasyan, D. Osin, Normal automorphisms of relatively hyperbolic groups, Trans. AMS 362 (2010), no. 11, 6079-6103.
[17] D. Osin, $L^2$-Betti numbers and non-unitarizable groups without free subgroups, Internat. Math. Res. Notices (2009), no. 22, 4220-4231.
[18] A. Olshanskii, D. Osin, M. Sapir, Lacunary hyperbolic groups. With an appendix by Michael Kapovich and Bruce Kleiner. Geom. & Topol. 13 (2009), no. 4, 2051-2140.
[19] D. Osin, Small cancellations over relatively hyperbolic groups and embedding theorems, Annals of Math. 172 (2010), 1–39.
[20] D. Osin, D. Sonkin, Uniform Kazhdan groups, preprint, 2006.
[21] D. Osin, V. Shpilrain, Public key encryption and encryption emulation attacks, Lecture Notes Comp. Sc. 5010 (2008), 252–260.
[22] I. Belegradek, D. Osin, Rips construction and Kazhdan property (T), Groups, Geom., & Dynam. 2 (2008), no. 1, 1-12.
[23] A.Yu. Olshanskii, D. Osin, Large groups and their periodic quotients, Proc. Amer. Math. Soc 136 (2008), 753-759.
[24] G. Arzhantseva, A. Minasyan, D.V. Osin, The SQ-universality and residual properties of relatively hyperbolic groups, J. Algebra 315 (2007), no. 1, 165-177.
[25] D. Osin, Uniform non-amenability of free Burnside groups, Arch. Math. 88 (2007), no. 5, 403-412.
[26] D. Osin, Peripheral fillings of relatively hyperbolic groups, Invent. Math. 167 (2007), no. 2, 295-326. (Announced in Electron. Res. Announc. Amer. Math. Soc. 12 (2006), 44-52.)
[27] D. Osin, Elementary subgroups of relatively hyperbolic groups and bounded generation, Internat. J. Algebra Comput., 16 (2006), no. 1, 99-118.
[28] D. Osin, Relative Dehn functions of HNN--extensions and amalgamated products, Contemp. Math. 394 (2006), 209-220.
[29] D. Osin, Relatively hyperbolic groups: Intrinsic geometry, algebraic properties, and algorithmic problems, Memoirs Amer. Math. Soc. 179 (2006), no. 843, vi+100 pp.
[30] A. Erschler, D. Osin, Fundamental groups of asymptotic cones, Topology 44 (2005), no. 4, 827-843.
[31] D. Osin, M. Sapir, Asymptotic cones of relatively hyperbolic groups. Appendix to the paper ``Tree graded spaces and asymptotic cones" by C. Drutu and M. Sapir, Topology 44 (2005), no. 5, 959-1058.
[32] D. Osin, Asymptotic dimension of relatively hyperbolic groups, Internat. Math. Res. Notices 35 (2005), 2143-2162.
[33] D. Osin, Algebraic entropy of elementary amenable groups, Geom. Dedicata 107 (2004), no. 1, 133-151.
[34] D. Osin, Weak hyperbolicity and free constructions, Contemp. Math. 360 (2004), 103-111.
[35] D. Osin, The entropy of solvable groups, Ergodic Theory & Dynam. Systems 23 (2003), no. 3, 907-918.
[36] D. Osin, Exponential radicals of solvable Lie groups, J. Algebra 248 (2002), 790-805.
[37] G. Arzhantseva, D. Osin, Solvable groups with polynomial Dehn functions, Trans. Amer. Math. Soc. 354 (2002), no. 8, 3329-3348.
[38] D. Osin, Elementary classes of groups (in Russian), Mat. Zametki 72 (2002), no. 1, 84-93; English translation in Math. Notes 72 (2002), no. 1-2, 75-82.
[39] D. Osin, Weakly amenable groups, Contemp. Math. 298 (2002), 105-113.
[40] D. Osin, Kazhdan constants of hyperbolic groups, Funct. Anal. and its Applications 36 (2002), no. 4, 290-297.
[41] D. Osin, Distortions of subgroups in nilpotent groups, Comm. Algebra 29 (2001), 5439-5463.
[42] D. Osin, On the problem of intermediate subgroup growth in solvable and linear groups, Proc. Steklov Math. Institute 231 (2000), no. 4, 316-338.
[43] D. Osin, On rank growth of subgroups in finitely generated groups (in Russian), Mat. Sbornik 190 (1999), no. 8, 81-102; English translation in: Sbornik Math. 190 (1999), no. 7-8, 1151-1172.
[44] D. Osin, On generating set's growth functions for subgroups of free groups, Internat. J. Algebra Comput. 9 (1999), no. 1, 41-50.
