## Papers

[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 subgroupsAlg. & 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 spacesarXiv:1111.7048.

[4] A. Olshanskii, D. Osin,
A quasi-isometric embedding theorem for groupsDuke Math. J., to appear; arXiv:1202.6437.

[5] D. Osin, A.Thom,
Normal generation and $\ell^2$-betti numbers of groupsMath. 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 groupsQuart. 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 Math172 (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.

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 groupsArch. 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 Math190 (1999), no. 7-8, 1151-1172.

[44] D. Osin, On generating set's growth functions for subgroups of free groups, Internat. J. Algebra Comput9 (1999), no. 1, 41-50.