Introduction B Mazur, K Rubin Proceedings of the National Academy of Sciences of the United States of …, 1997 | 494* | 1997 |

The “main conjectures” of Iwasawa theory for imaginary quadratic fields K Rubin Inventiones mathematicae 103 (1), 25-68, 1991 | 376 | 1991 |

Euler systems K Rubin Princeton University Press, 2000 | 297 | 2000 |

Review: Ehud de Shalit, Iwasawa theory of elliptic curves with complex multiplication K Rubin Bulletin (New Series) of the American Mathematical Society 21 (1), 108-112, 1989 | 254* | 1989 |

Tate-Shafarevich groups andL-functions of elliptic curves with complex multiplication K Rubin Inventiones mathematicae 89 (3), 527-559, 1987 | 171 | 1987 |

A Stark conjecture “over 𝐙” for abelian L-functions with multiple zeros K Rubin Annales de l'institut Fourier 46 (1), 33-62, 1996 | 164 | 1996 |

Kolyvagin systems B Mazur, K Rubin American Mathematical Society 168 (799), 2004 | 154 | 2004 |

Algebraic Geometry-Torus-Based Cryptography K Rubin, A Silverberg Lecture Notes in Computer Science 2729, 349-365, 2003 | 147* | 2003 |

Torus-based cryptography K Rubin, A Silverberg Advances in Cryptology-CRYPTO 2003, 349-365, 2003 | 147 | 2003 |

Supersingular abelian varieties in cryptology K Rubin, A Silverberg Advances in Cryptology—CRYPTO 2002, 336-353, 2002 | 128 | 2002 |

Supersingular abelian varieties in cryptology K Rubin, A Silverberg Advances in Cryptology—CRYPTO 2002, 336-353, 2002 | 128 | 2002 |

Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer K Rubin Inventiones mathematicae 64 (3), 455-470, 1981 | 128* | 1981 |

Ranks of elliptic curves K Rubin, A Silverberg BULLETIN-AMERICAN MATHEMATICAL SOCIETY 39 (4), 455-474, 2002 | 121 | 2002 |

Ranks of twists of elliptic curves and Hilbert’s tenth problem B Mazur, K Rubin Inventiones mathematicae 181 (3), 541-575, 2010 | 105 | 2010 |

Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer K Rubin Inventiones mathematicae 64 (3), 455-470, 1981 | 82 | 1981 |

Finding large Selmer rank via an arithmetic theory of local constants B Mazur, K Rubin Annals of mathematics, 579-612, 2007 | 70 | 2007 |

Families of elliptic curves with constant mod p representations K Rubin Conference on Elliptic Curves and Modular Forms, 148-161, 1995 | 68 | 1995 |

The main conjecture. Appendix to: Cyclotomic fields I and II, S. Lang K Rubin Graduate Texts in Math 121, 397-419, 1990 | 68* | 1990 |

Global units and ideal class groups K Rubin Inventiones mathematicae 89 (3), 511-526, 1987 | 67 | 1987 |

On the main conjecture of Iwasawa theory for imaginary quadratic fields K Rubin Inventiones mathematicae 93 (3), 701-713, 1988 | 62 | 1988 |