Algebraic geometry over groups I. Algebraic sets and ideal theory G Baumslag, A Myasnikov, V Remeslennikov Journal of Algebra 219 (1), 16-79, 1999 | 405 | 1999 |

Irreducible affine varieties over a free group: II. Systems in triangular quasi-quadratic form and description of residually free groups O Kharlampovich, A Myasnikov Journal of Algebra 200 (2), 517-570, 1998 | 324* | 1998 |

Stallings foldings and the subgroup structure of free groups I Kapovich, A Myasnikov arXiv preprint math/0202285, 2002 | 275 | 2002 |

Elementary theory of free non-abelian groups O Kharlampovich, A Myasnikov Journal of Algebra 302 (2), 451-552, 2006 | 273 | 2006 |

Generic-case complexity, decision problems in group theory, and random walks I Kapovich, A Myasnikov, P Schupp, V Shpilrain Journal of Algebra 264 (2), 665-694, 2003 | 259 | 2003 |

Group-based cryptography A Myasnikov, V Shpilrain, A Ushakov Springer Science & Business Media, 2008 | 225 | 2008 |

Algebraic geometry over groups II. Logical foundations A Myasnikov, V Remeslennikov Journal of Algebra 234 (1), 225-276, 2000 | 216 | 2000 |

Exponential groups 2: Extensions of centralizers and tensor completion of CSA groups A Myasnikov, V Remeslennikov arXiv preprint math/9507203, 1995 | 168 | 1995 |

Non-commutative cryptography and complexity of group-theoretic problems AG Myasnikov, V Shpilrain, A Ushakov American Mathematical Soc., 2011 | 167 | 2011 |

Unification theorems in algebraic geometry E Daniyarova, A Myasnikov, V Remeslennikov Algebra and Discrete Mathematics 1, 80-112, 2008 | 150 | 2008 |

Hyperbolic groups and free constructions O Kharlampovich, A Myasnikov Transactions of the American Mathematical Society 350 (2), 571-613, 1998 | 117 | 1998 |

Open problems in combinatorial group theory. GBAG Myasnikov, V Shpilrain Combinatorial and Geometric Group Theory: AMS Special Session, Combinatorial …, 2002 | 96 | 2002 |

Average-case complexity and decision problems in group theory I Kapovich, A Myasnikov, P Schupp, V Shpilrain Advances in Mathematics 190 (2), 343-359, 2005 | 94 | 2005 |

Foldings, graphs of groups and the membership problem I Kapovich, R Weidmann, A Myasnikov International Journal of Algebra and Computation 15 (01), 95-128, 2005 | 91 | 2005 |

Algebraic geometry over algebraic structures. II. Foundations EY Daniyarova, AG Myasnikov, VN Remeslennikov Journal of Mathematical Sciences 185 (3), 389-416, 2012 | 87 | 2012 |

Measuring sets in infinite groups AV Borovik, AG Myasnikov, V Shpilrain arXiv preprint math/0204078, 2002 | 87 | 2002 |

Implicit function theorem over free groups O Kharlampovich, A Myasnikov Journal of Algebra 290 (1), 1-203, 2005 | 84 | 2005 |

Length based attack and braid groups: cryptanalysis of Anshel-Anshel-Goldfeld key exchange protocol AD Myasnikov, A Ushakov International Workshop on Public Key Cryptography, 76-88, 2007 | 83 | 2007 |

Algebraic geometry over algebraic structures III: Equationally Noetherian property and compactness E Daniyarova, A Myasnikov, V Remeslennikov arXiv preprint arXiv:1002.4243, 2010 | 80 | 2010 |

The halting problem is decidable on a set of asymptotic probability one JD Hamkins, A Miasnikov Notre Dame Journal of Formal Logic 47 (4), 515-524, 2006 | 79 | 2006 |