# Alexander Olshanskiy

Centennial Professor

#### Research Interests

Combinatorial Group Theory, Geometric Methods in Group Theory, Varieties of Groups and Rings

#### Publications

**List of publications of A. Yu. Olshanskii**

You can download some papers as Postscript or PDF files from the list of my publications below.

1. On the residual property of groups, *Vestnik Mosk. Univ., Ser. Matem.* (1968), N 2, 60-62, Russian (with K. K. Andreyev).

2. On a Hanna Neumann's problem, *Matem. Sbornik* (1968), N 3, 449-453 (in Russian). Translated in *Math. USSR-Sb.*

3. Varieties of residually finite groups, *Izvestia Akad. Nauk SSSR, Ser. Matem.* (1969), N 4, 915-927 (in Russian). Translated in *Math. USSR-Izv.*

4. On the problem of a finite basis of identities for groups, *Izvestia Akad. Nauk SSSR, Ser. Matem.*(1970), N 2, 376-384 (in Russian). Translated in *Math. USSR-Izv.*

5. Two remarks on varieties of groups, *Vestnik Mosk. Univ., Ser. Matem.* (1971) N 2, 45-50 (in Russian).

6. *Some questions of the theory of group varieties*, Ph. D. thesis, Mosc. Univ., Dept. of Mechanics and Mathematics, 1971 (in Russian).

7. Solvable just-non-Cross varieties of groups, *Matem. Sbornik* (1971), N 5, 115-131 (in Russian). English translation: *Math. USSR-Sb.* 14 (1971), 115--129.

8. On orders of relatively free groups of locally finite varieties, *Izvestia Akad. Nauk SSSR, Ser. Matem.* (1973), N1, 89-94 (in Russian). English translation: *Math. USSR-Izv.* 7 (1973), 85--90.

9. On characteristic subgroups of free groups, *Uspekhi Matem. Nauk* (1974), N 1, 179-180 (in Russian). Translated in *Russian Math. Surveys*

10. Quasiidentities in finite groups, *Sibirsk. Matem. J.* (1974), 1409-1413 (in Russian). Translated in *Siberian Math. J.*

11. Identical relations in finite Lie rings, *Matem. Sbornik* (1975), N 4, 543-559, in Russian (joint with Yu. A. Bakhturin). Translated in *Math. USSR-Sb.*

12. On residual property and characteristic subalgebras of free Lie algebras, Trudy Sem. im. I.G.Petrovskogo (1976), N 2, 145-150, in Russian (with Yu. A. Bakhturin).

13. Solvable just-non-Cross varieties of Lie rings, *Matem. Sbornik* (1976), N 3, 384-399, in Russian (joint with Yu. A. Bakhturin). Translated in *Math. USSR-Sb.*

14. To the questions on the number of generators and orders of abelian subgroups of finite p-groups, *Matem. Zametki* (1978), N3, 345-350 (in Russian). English translation: *Math. Notes* 23 (1978), no. 3--4, 183--185.

15. On some infinite sets of identities, Trudy Sem. im. I. G. Petrovskogo (1978), N 3, 139-145 (in Russian).

16. Investigation of locally finite varieties of groups, Doctor of Sci. Thesis (1979), Moscow State Univ., Dept. of Mechanics and Mathematics (in Russian).

17. Infinite groups with cyclic subgroups, *Doklady Akad. Nauk SSSR*, 245 (1979), N 4, 785-787 (in Russian); English translation: *Soviet Math. Dokl.* 20 (1979), no. 2, 343--346.

18. An infinite simple Noetherian torsion free group, *Izvestia Akad. Nauk SSSR, Ser. Matem.* (1979), N 6, 1328-1393 (in Russian); Translated in *Math. USSR-Izv.*

19. On groups with cyclic subgroups, *Doklady Bulg. Akad. Nauk* 32 (1979), N 5, 1165-1166 (in Russian).

20. An infinite group with subgroups of prime orders, *Izvestia Akad. Nauk SSSR, Ser. Matem.*, 44 (1980), N 2, 309-321 (in Russian); English translation: *Math. USSR-Izv.* 16 (1981), no. 2, 279--289.

21. To the question on the existence of an invariant mean on a group, *Uspekhi Matem. Nauk *(1980), N 4, 199-200 (in Russian).

22. Remark on a countable non-topologized group, *Vestnik Mosk. Univ., Ser. Matem.* (1980), N 3, 103 (in Russian).

23. On Novikov - Adian's theorem, *Matem. Sbornik*, 118 (1982), n 2, 203-235 (in Russian). Translated in Math. USSR-Sb.

24. Groups of a finite exponent with subgroups of a prime order, *Algebra and Logika* (1982), N 5, 553-618 (in Russian); English translation: *Algebra and Logic* 21 (1982), no. 5, 369--418.

25. Practical work in algebra, Moscow State Univ. Publ (1983) 92 pages, in Russian (jointly with a team of authors).

26. Collection of exercises in algebra, Parts 1,2,3,4, Moscow State Univ. Publ. (1983, 1984, 1985, 1986), 148+184+104+72 pages, in Russian (jointly with a team of authors).

27. On a geometric method in combinatorial group theory, Proc. Int. Congress Math. 1(1983), 415-424.

28. On abelian and central extensions of aspherical groups, *Izvestia Vuzov, Matem.* (1985), N 11, 48-60, in Russian (with I. S. Ashmanov); English translation: *Soviet Math.* (Iz. VUZ) 29 (1985), no. 11, 65--82.

29. Varieties in which all finite groups are abelian, *Matem. Sbornik,* 126 (1985), N 1, 59-82 (in Russian).

30. Subgroups of quasifinite groups, *Uspekhi Matem. Nauk*, 41 (1986), N 6, 169-170, in Russian (joint with G. S. Deryabina); English translation: *Russian Math. Surveys* 41 (1986), no. 6, 169--170.

31. The Neumanns - Shmel'kin's theorem, *Vestnik Mosk. Univ., Ser. Matem.* (1986), N 6, 61-64 (in Russian); English translation: *Moscow Univ. Math. Bull.* 41 (1986), no. 6, 52--55.

32. Collection of exercises in algebra, Moscow, Nauka (1987), 352 pages, in Russian (joint with a team of authors).

33. Identical relations, Sovremen. problemy matem. Fundament. napravl., 117-240: in Itogi Nauki i Tekhniki VINITI AN SSSR, 18, Moscow, 1988, in Russian (with Yu. A. Bakhturin). Translated in *Encyclopaedia of Mathematical Sciences, Algebra II, Noncommutative Rings. Identities* Vol. 18, Springer, Heidelberg, 1991

34. The Mal'tsev problem on operations on groups, Trudy Sem. im. I. G. Petrovskogo, 14 (1989), 225-249 (in Russian); translation in *J. Soviet Math.* 51 (1990), no. 4, 2468--2486

35. *Geometry of defining relations in groups,* Moscow, Nauka, 1989, 448 pages (in Russian)

Translated in Mathematics and its Applications (Soviet Series), 70. Kluwer Academic Publishers Group, Dordrecht, 1991. xxvi+505 pp. ISBN: 0-7923-1394-1

36. Thrifty embedding of countable groups, *Vestnik Mosk. Univ., Ser. Matem.* (1989), N 2, 28-34 (in Russian); translation in *Moscow Univ. Math. Bull.* 44 (1989), no. 2, 39--49.

37. Infinite groups, Sovremen. problemy matem., Fundament. napravl., 5-113; in Itogi Nauki i Tekhniki VINITI AN SSSR, 37, Moscow, 1989, in Russian (with A. L. Shmel'kin); Translated in *Encyclopaedia of Mathematical Sciences, Algebra IV, Infinite Groups. Linear Groups*. VOL. 37, Springer, Heidelberg, 1993

38. Diagrams of homomorphisms of surface groups, Sibirsk. Matem. J., 30 (1989), N 6, 150-171 (in Russian); translation in *Siberian Math. J.* 30 (1989), no. 6, 961--979 (1990)

See also: A comment on my paper: "Diagrams of homomorphisms of surface groups" Sibirsk. Mat. Zh. 31 (1990), no. 2, 222.

39. Some applications of graded diagrams in combinatorial group theory, London Math. Soc., Lecture Notes Ser., 160 (1990), 258-308 (with S. V. Ivanov)

40. Embedding of countable periodic groups into 2-generator simple periodic groups, Ukrain. Matem. J., 43 (1991), N 7-8, 980-986 (in Russian); translation in *Ukrainian Math. J.* 43 (1991), no. 7-8, 914--919 (1992)

41. Hyperbolicity of groups with subquadratic isoperimetric inequality, *Intern. J. of Algebra and Comput.* 1 (1991), N 3, 281-289.

42. Periodic quotients of hyperbolic groups, *Matem. Sbornik.*, 182 (1991), N 4, 543-567 (in Russian); ; translation in Math. USSR-Sb. 72 (1992), no. 2, 519--541

43. Almost every group is hyperbolic, *Intern. J. of Algebra and Comput.*, 2 (1992), N 1, 1-17.

44. On two problems of H. Neumann about linked products of groups, *Bull. Austral. Math. Soc.*, 46 (1992), 2, 311-315 (joint with S. V. Ivanov).

45. Embedding of periodic groups into simple periodic groups, Ukrain. Matem. J., 44 (1992), N 6, 845-847 (in Russian); translation in *Ukrainian Math. J.* 44 (1992), no. 6, 761--763 (1993)

46. On residualing homomorphisms and G-subgroups of hyperbolic groups, *Intern. J. of Algebra and Comput.*, 3 (1993), 1-44.

47. On calculation of width in free groups, London Math. Soc., Lecture Notes Ser., 204 (1995), 255-258.

48. A simplification of Golod's example, Proc. 3rd Int. Conf. in Group Theory (Korea, Pusan, 1994), Walter de Gryuter (1995), 263-265.

49. SQ-universality of hyperbolic groups, Matem. Sbornik, 186 (1995), N 8, 119-132 (in Russian); translation in *Sbornik Math.* 186 (1995), no. 8, 1199--1211.

50. A group variety defined by a semigroup law, *J. Austral. Math. Soc. (Series A)* 60 (1996), 255-259 (with A.Storozhev).

51.Generality of the class of groups in which subgroups with a lesser number of generators are free. (Russian) *Mat. Zametki* **59** (1996), no. 4, 489-496, 638; translation in *Math. Notes ***59** (1996), no. 3-4, 350-355. (with G. N. Arzhantseva).

52. Hyperbolic groups and their quotients of finite exponent, *Trans. Amer. Math. Soc.* 348 (1996) N 6, 2091-2138 (with S. V. Ivanov). pdf-file ps-file

53. On finite and locally finite subgroups of free Burnside groups of large even exponents, *Journal of Algebra*, 195(1997), 241-284 (with S. V. Ivanov). pdf-file

54.On the distortion of subgroups of finitely presented groups. (Russian) *Mat. Sb.* **188** (1997), no. 11, 51-98; translation in *Sb. Math.* **188** (1997), no. 11, 1617-1664. pdf-file ps-file

55. Some constructions relating to hyperbolic groups, London Math. Soc. Lecture Notes Ser., 252 (1998), 263-290 (joint with K. V. Mikhajlovskii).

56. Distortion functions for subgroups, in "Geometric Group Theory Down Under", Proc. of a Special Year in Geometric Group Theory, Canberra, Australia, 1996, Ed. J.Cossey,..., Walter de Gruyter, Berlin - New York, 1999, 281-291. ps-file

57. The growth of finite subgroups in p-groups, London Math. Soc. Lect. Note Ser. 261 (1999), 579-595. ps-file

58. Quadratic isoperimetric functions of the Heisenberg groups. A combinatorial proof, Algebra, 11, *J. Math. Sci.* (new York) 93 (1999), no.6, 921-927 (with M. V. Sapir). ps-file

59. Length functions on subgroups in finitely presented groups, In Groups Korea'98, *Proc. Intern. Conf., Pusan*, Korea, 1998, Ed. Young Gheel Baik ..., Walter de Gruyter, Berlin -- New York, 2000, 297-304 (with M.V.Sapir). ps-file

60. Embeddings of relatively free groups into finitely presented groups *Contemp.Math.*, 264 (2000), 23-47 (joint with M.V.Sapir) ps-file

61. On the Bass - Lubotzky question about quotients of hyperbolic groups, *Journal of Algebra*, 226 (2000), 807-817. pdf-file ps-file

62. Length and area functions in groups and quasi-isometric Higman embeddings, *Intern. J. Algebra and Comput.*, 11 (2001), no. 2 , 137-170 (with M.V.Sapir). ps-file

63. Non-amenable finitely presented torsion-by-cyclic groups, *Electron. Res. Announc. Amer. Math. Soc.* 7 (2001), 63-71 ( with M.V.Sapir). pdf-file

64. Comparison of products of the varieties of Lie algebras, *Comm. in Algebra* , 29 (2001), #9, 4267-4275 (with A.L.Shmelkin ).

65. Isoperimetric functions of groups and combinatorial complexity of the word problem , Annals of Mathematics 156 (2002), # 2, 467-518 (with J.-C. Birget, E.Rips, M.Sapir). ps-file

66. Non-amenable finitely presented torsion-by-cyclic groups, acceptedin Publ. Math. IHES, 96 (2002), # 6 (with M.V. Sapir).pdf-file ps-file

67. Self-normalization of free subgroups in the free Burnside groups, in Groups, Rings, Lie and Hopf Algebras, Kluwer AP, 2003, p.p. 179-187.

68. The conjugacy problem for groups and Higman Embeddings, submitted to Electron. Res. Announc. Amer. Math. Soc. (with M.V. Sapir).

69. Conjugacy problem and Higman embeddings, "Memoirs of the AMS" 170 (2004), no. 804 p.p. vii+131 (with M.V. Sapir).

70. Subgroups of finitely presented groups with solvable conjugacy problem, Intern. J. Algebra and Comput., 15, no. 5-6 (2005), 1-10 (with M.V. Sapir).

71. Groups with non-simply connected asymptotic cones, Contemporary Mathematics, 394 (2006), 203-208 (with M.V** **Sapir).

72. Groups with small Dehn functions and bipartite chord diagrams, accepted to Geomtric and Functional Analysis, 53 p.p. (with M.V. Sapir).

73. On finite definability of groups F/[M,N], "Vestnik Moskovskogo Universiteta" (Proc. of the Moscow State University), Ser. 1, 2007, no.6, 19-21 (with O.V.Kulikova)

74.Groups with quadratic-non-quadratic Dehn functions,''Intern. J. Algebra and Comput.'', 17(2007), no. 2, p.p. 401-419.

75.A finitely presented group with two non-homeomorphic asymptotic cones, ''Intern. J. Algebra and Comput.'', 17(2007), no.2, p.p. 421-426(with M.V.Sapir)

76.Large restricted Lie algebras, ''Journal of Algebra'', 310 (2007), no. 1, 413-427 (with Yu.A.Bahturin).

77. Linear automorphism groups of relatively free groups. ''Turkish Journal of Mathematics'', 31(2007) (suppl., dedicated to the memory of Brian Hartley), 105-111.

78. A 2-generated 2-related group with no non-trivial finite quotients. ''Algebra and Discrete Math.'' 2007, no. 2, 111--114 (with M.V.Sapir).

79. Large groups and their periodic quotients. ''Proc. of the AMS'', 136 (2008), no. 3, 753-759 (with D.V.Osin).

80. On products of T-ideals in free algebras and free group algebras. "Journal of Pure and Applied Algebra", 213(2009), no. 2, 259-263.

81. Schreier rewriting beyond the classical setting. "Science in China", Ser. A, Mathematics (Springer), 52 (2009), no.2, 231--243(with Yu.A.Bahturin).

82. Lacunarly hyperbolic groups. ''Geometry and Topology'', 13(2009), no. 4, 2051-2140 (with D.V.Osin and M.V.Sapir).

83. Periodic quotients of hyperbolic and large groups. ''Groups, Geometry and Dynamics'', 3(2009), no.3, 423--452 (with A.Minasyan and D.Sonkin).

84. On $F_k$-like groups. ''Algebra and Logic'', 48(2009), no.2, 140--146 (with M.V.Sapir).

85. Actions of maximal growth, ''Proceedings of the London Math. Soc.'' 101 (2010), no.1, 27-72 (with Yu.A.Bahturin).

86. Filtrations and distortion in infinite-dimensional algebras, ''Journal of Algebra'', 327 (2011), 251-291 (with Yu.A.Bahturin).

87. Subgroup distortion in wreath products of cyclic groups, ''Journal of Pure and Applied Algebra'', 215(2011) 2987-3004 (with Tara Davis).

88. Space functions of groups, ''Trans. Amer. Math. Soc'', 364 (2012), 4937-4985.

89. Groups with undecidable word problem and almost quadratic Dehn function, "Journal of Topology" 5 (2012), no.4, 785--886 (with Appendix written by M.V.Sapir).

90. A quasi-isometric embedding theorem for groups,"Duke Math. Journal", 162 (2013), no.9, 1621--1648 (with D.V.Osin).

91. Space functions and space complexity of the word problem in semigroups, "Computational Complexity", 22 (2013), no.4, pp. 771--830.

92. On topologizable and non-topologizable groups, "Topology and its Applications", 160 (2013), 2104-2120 (with Ant.A. Klyachko and D.V.Osin).

93. On abelian subgroups of finitely generated metabelian groups, "Journal of Group Theory", 16 (2013), no.5, 695--705 (with V.H.Mikaelian).

94. $C^*$-simple groups without free subgroups, "Groups, Geometry and Dynamics", 8 (2014), 933-983. (with D.V.Osin).

95. Growth of subalgebras and subideals in free Lie algebras, "Journal of Algebra" 422 (2015), 277-305 (with Yu.A.Bahturin).

96. Relative subgroup growth and subgroup distortion, "Groups, Geometry and Dynamics", 9 (2015), no.1, 237-273 (with Tara Davis).

97. On infinite groups of finite exponent, "Algebra and Logica", 54 (2015), no. 2, 243-251, in Russian, English translation in Algebra and Logic: Volume 54, Issue 2 (2015) (with V.D. Mazurov and A.I.Sozutov).

98. On identities in the products of group varieties, "Intern. J. of Algebra and Comput.", v. 25 (2015), no. 3, 531-540 (with N.S. Boatman).

99. On pairs of finitely generated subgroups in free groups, "Proceedings AMS", 143 (2015), 4177-4188.

100. Diagonal bi-acts over semigroups with finiteness conditions, "Semigroup Forum", 91 (2015), no. 2, 538-542 (with I.B. Kozhukhov).

101. Embedding construction based on amalgamations of group relators, "Journal of Topology and Analysis", 8 (2016), no. 1, 1-24.

102. Constructions of torsion-free countable, amenable, weakly mixing groups, accepted to "L'Enseignement Mathematique", also arXiv:1405.7605, 17 pp. (with R. Grigorchuk and R. Kravchenko).

103. On Kaluzhnin - Krasner's embeddings of groups, accepted to "Algebra and Discrete Mathematics", arxiv:1502.07052, 10 pp.

104. Subnormal subgroups in free groups, their growth and co-growth, arXiv1312.0129, 45 pp.

*The following papers have been published in Soros Educational Journal.*

105. Multiplication of symmetries and transformations, no. 5 (1996), 115-120 (in Russian).

106. Group calcula, no. 10 (1996), 114-119 (in Russian).

107. Planar graphs, no. 11 (1996), 117-122 (in Russian).

108. On the complexity of computations in groups, no. 3 (2000), 120-125 (in Russian).

#### Conference Talks

International Congress of Mathematics, 1982

At seven All-Union Algebra Conferences and five other All-Union Conferences (1969-1990)

Algebra Conference, Halle (Germany), 1986

International Conference "Groups-St Andrews-1989" (four lectures)

International Conference on Group Theory, Debrecen (Hungary), 1990

Fifth Congress of Vietnamese Mathematicians, 1990

Workshop in Geometric and Combinatorial Methods in Group Theory, Edinburgh, UK, 1993

Group Theory Conference, Spetses, Greece, 1993

Group Theory and Topology Workshop, Albany, NY, Oct. 1993

Geometrical and Homological Methods in Group Theory, Durham, UK, 1994

Third International Conference in Group Theory, Pusan, Korea, 1994

International Conference in Groups and Group Rings, Gliwice, Poland, 1994

Conference on Generators and Relations in Groups, Cortona, Italy, 1994

International Algebra Conference, Jerusalem (Israel), 1996

International Conference on Modern Algebra and Its Applications, Nashville, USA, 1996

International Conference on Geometric and Combinatorial Group Theory, Canberra, Australia, 1996

International Conference on Group Theory, Montreal, Canada, 1996

International Algebra Conference, St. Petersburg (Russia), 1997

International Algebra Conference, Hong Kong, 1997

Malcev Algebra Conference, Novosibirsk (Russia), 1997

International Conference "Groups-St Andrews-1997" (two lectures), Bath (UK)

Conference on Geometric Group Theory, Mobile, AL, 1998

Conference on Combinatorial Methods in Algebra, Fayetteville (Arkansas, USA), 1998

International Conference on Algorithmic Problems in Groups and Semigroups, Lincoln (Nebraska, USA), 1998

International Conference in Group Theory, Pusan, Korea, 1998

International Conference on Combinatorial and Computational Methods in Mathematics, Omsk, Russia, 1998

Conference in Algebra, Moscow (Russia), 1999

International Conference in Algebra, Hong Kong, 1999

Wasatch Topology Conference, Park City (Utah, USA), 1999

International Conference in Logic and applications, Novosibirsk (Russia), 2000

International Conference in Group Theory, Edmonton (Canada), 2000

Groups, Rings, Lie and Hopf Algebras, St.John's (Canada), 2001

International Conference in Algebra, Sumy (Ukraine), 2001 (2 lectures)

Algebra and Discrete Mathematics, Euroconference in Hattingen (Germany), 2001 (2 talks)

Intern. Math. Conf., Kiev (Ukraine), June 2002

Intern. Conf. "Algebra -- Geometry and Intersections", Hattingen (Germany), July 2002

Intern. Conf. In Algebra, Krasnoyarsk (Russia), August 2002

Geometric Group Theory Conf., Pensacola (Florida), November 2002

Intern. Conf. in Algebra and Number Theory, Tula (Russia), May 2003

Conference in Combinatorics, Dynamics and Geometry of Groups, Gaeta (Italy), May-June 2003

4th Ukrainian Algebraic Conference, Lviv (Ukraine), August 2003

53rd Algebra Day in Ottawa (Canada), Sept. 27, 2003

Intern. Conf. in Algebra, Moscow (Russia), June 2004

Workshop on K-theory and the Geometry of Groups, Honolulu, Hawaii, Jan. 2005

Conference in Groups and Group Rings, Bedlevo (Poland), June 2005

Geometric and Probabilistic Methods in Group Theory, Geneva (Switzerland), June 2005

5-th Ukrainian Conference in Algebra and Number Theory, Odessa (Ukraine), July 2005

Asymptotic invariants and Geometric and Probabilistic Methods in Group Theory and Dynamical Systems, College Station (Texas), Nov. 2005

Group Theory, conference in Ischia (Italy), March-Apr. 2006

Geometric and Combinatorial Group Theory, conference in Nashville (TN, USA), May 2006

Conference in Group Theory, Nalchik (Russia), July 2006

Workshop in Combinatorial Group Theory, Novosibirsk (Russia), August 2006

Workshop in Group Theory, Kiev (Ukraine), Dec. 2006.

Conference in Algebra and Geometry, Erevan (Armenia), May 2007.

Conference "Algebraic Days in Antalya IX", Antalya (Turkey), May 2007.

2-d Congress in Algebra and Combinatorics, Beijing - Xi'an (China), July 2007.

International Conference "Algebra and its Applications", Krasnoyarsk (Russia), August 2007.

Conference in honor of Wilhelm Magnus, New York (NY, USA), Sep. 2007.

Workshop on Asymptotic Group Theory and Cryptography, Ottawa (Canada), Dec. 2007

Colloquium talk at the Mathematical Institute in Cuernavaca (Mexico), March 2008

Conference "Group Theory and Related Topics", Xuzhou (China), April 2008

Intern. Algebraic Kurosh Conference, Moscow (Russia), May-June, 2008

Workshop "Profinite and Asymptotic Group Theory" Oberwolfach, June, 2008

Conference and workshop in Group Theory, Chelyabinsk (Russia), Aug. 2008

Colloquium talk at the College of Charleston (SC, USA), March 2009

Conference "Groups and Models", Istambul (Turkey), June 2009.

International conference "Semigroups and related topics", Porto (Portugal), July, 2009.

The 4th Novi Sad Algebraic Conference, Novi Sad (Serbia), August, 2009.

International conference dedicated to the 50th anniversary of the chair 'Algebra and Logic' of Kyiv National University, Kyiv (Ukraine), December, 2009

Conference "Algebra and Number Theory: Contemporary Problems and Applications", Tula (Russia), May, 2010

VIII International Conference and workshop in Group Theory, Nalchik (Russia), July, 2010.

Conference "Algebra and Logic, Theory and Applications", Krasnoyarsk (Russia), July, 2010.

Workshop "Algorithmic problems of Group Theory and adjacent areas", Erlagol (Altay, Russia) July-August, 2010 (eight 60-min. lectures).

Workshop on Geometric, Asymptotic, Combinatorial Group Theory, Montreal (Canada), August, 2010.

Algebraic Symposium, Moscow (Russia), November, 2010.

Meeting AMS, Statesboro, Georgia (USA), March 2011.

Conference on Algebra and Applications, Caldas Novas (Brazil), May 2011.

Workshop ''Recent Advances in Geometric Group theory", Southampton (UK), June-July 2011, and a talk at the Topology Seminar of Mathematical Institute in Oxford (UK), June 27, 2011.

8th International Algebraic Conference in Ukraine, Luhansk (Ukraine), July 2011.

International Conference on Ring Theory, Novosibirsk (Russia), July 2011.

Monster groups, ESI, Vienna (Austria), December, 2011.

AMS sectional meetings in Honolulu, HI, March, 2012

Conference ''Ischea Group Theory 2012", Ischea (Italy), March, 2012.

Conference ''Group Theory and Related Topics", Shanghai (China), May, 2012.

Conference ''Groups and their actions", Bedlewo (Poland), July 2012.

Conference ''Group Theory, Combinatorics, and Computing", Boca Raton, Florida, Oct. 2012.

Conference ''Combinatorial Theory of Groups and Hopf Algebras", Sackville (Canada), Oct. 2012.

Conference "Algebra and Combinatorics", Yekaterinburg (Russia). June 2013.

Conference "Aspects of Semigroup and Group Theory", Tel Aviv (Israel), June 2013.

9-th International Algebraic Conference in Ukraine, Lviv (Ukraine), July 2013.

Conference "Algebra and Logic, Theory and Applications", Krasnoyarsk (Russia), July 2013.

Conference and workshop "Lie algebras, algebraic groups and invariant theory", Moscow (Russia), Jan.-Feb. 2014.

Conference "Asymptotic properties of groups", Paris (France), March 2014.

Conference "Geometry of computation in groups", Vienna (Austria), March/April 2014.

Conference "Algebra and Number Theory: Contemporary problems and applications". Tula (Russia), April 2014.

Conference "Classes of groups, algebras, and their applications", Gomel (Belorussia), July 2014.

International Algebraic Conference, Kyiv (Ukraine), July 2014.

Conference `` Combinatorial and Geometric Group Theory", Jerusalem (Israel), Dec. 2014.

Conference "Algebra, Number Theory, Discrete Geometry: contemporary problems and applications", Tula (Russia), May 2015.

Conference "Growth, Symbolic Dynamics and Combinatorics of words in groups", ENS (Paris, France), June 2015.

Conference "Groups and their actions", Bedlewo (Poland), June 2015.

Conference "Lie and Jordan Algebras, their Representations and Applications, VI". Bento Goncalves (Brazil), Dec. 2015.

#### Editorships

Communications in Algebra, Editorial Board

International Journal of Algebra and Computation, Editorial Board

Journal of Group Theory, Editorial Board

Algebra and Discrete Mathematics, Editorial Board

Electronic Research Announcements in Mathematical Sciences, Editorial Board

#### Awards

Moscow Mathematical Society Prize winner, 1970

Invited speaker of International Congress of Mathematics, 1982

Kargapolov Prize "for outstanding contributions to group theory" at the 3rd International Algebra Conference, Krasnoyarsk, Russia, 1993

Honorary Badge, Seminar "Algebra and Logic," Novosibirsk.

J. Miller Professorship, University of Illinois at Urbana Champaign, March-April 1995

Russian Federation Presidential Award 1993-1996

INTAS Award 1994-1998

Soros Professorship, 1995-96 and 1998

Russian Fund (awarded to outstanding research groups), 1996-1997

INTAS grant 99-1224, 2000-2003

Malcev prize of the Russian Academy of Sciences for the series of papers in geometric and combinatorial group theory, 2000

Russian Fund for Fundamental Research, 1996-1998, 1999-2001; grant 02-01-00170, 2002-2004; grant 05-01-00895, 2005-2007; grant 08-01-00573, 2008-2010; grant 11-01-00945, 2011-2013; grant 15-01-05823, 2015-2017.

NSF Focus Research Grant, DMS-0455881, 2005-2008.

NSF research grants (with Mark Sapir): DMS 0072307, 2000- 2003; DMS-0245600, 2003-2006; DMS 0700811, 2007 - 2012; DMS 1161294, 2012- 2015, DMS-1500180, 2015-2018.

Fellow of the American Mathematical Society, class 2015.

#### Students

#### Current

Currently A. Yu. Olshanskii advises 1 graduate student at Vanderbilt University.

#### Former

A. N. Fedorov

T. V. Dubrovina

G. S. Derjabina

V. S. Atabekian

S. V. Ivanov

V. S. Guba

K. I. Lossov

V. N. Obraztsov

A. M. Storozhev

Nguen Hung Shon

V. G. Mikaelian

A. A. Klyachko

Yu. S. Semenov

K. V. Mikhajlovskii

A. Vdovina

G. Z. Arjantseva

N. V. Bezverhniy

D. V. Osin

P. A. Kozhevnikov

A. E. Pankratjev

A. Minasyan

D. Sonkin

A. Muranov

M. Milentyeva

O. Kulikova

T.Davis

V.Chaynikov

Nicholas Boatman