The “main conjectures” of Iwasawa theory for imaginary quadratic fields K Rubin Inventiones mathematicae 103 (1), 25-68, 1991 | 429 | 1991 |

Euler systems K Rubin Princeton University Press, 2000 | 383 | 2000 |

Kolyvagin systems B Mazur, K Rubin American Mathematical Society 168 (799), 2004 | 216 | 2004 |

Tate-Shafarevich groups andL-functions of elliptic curves with complex multiplication K Rubin Inventiones mathematicae 89 (3), 527-559, 1987 | 190 | 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 | 179 | 1996 |

Torus-based cryptography K Rubin, A Silverberg Advances in Cryptology-CRYPTO 2003, 349-365, 2003 | 160 | 2003 |

Ranks of twists of elliptic curves and Hilbert’s tenth problem B Mazur, K Rubin Inventiones mathematicae 181 (3), 541-575, 2010 | 131 | 2010 |

Ranks of elliptic curves K Rubin, A Silverberg BULLETIN-AMERICAN MATHEMATICAL SOCIETY 39 (4), 455-474, 2002 | 128 | 2002 |

Supersingular abelian varieties in cryptology K Rubin, A Silverberg Advances in Cryptology—CRYPTO 2002, 336-353, 2002 | 120 | 2002 |

Families of elliptic curves with constant mod p representations K Rubin, A Silverberg Elliptic curves, modular forms, & Fermat’s last theorem (Hong Kong, 1993 …, 1995 | 84 | 1995 |

Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer K Rubin Inventiones mathematicae 64 (3), 455-470, 1981 | 83 | 1981 |

The main conjecture. Appendix to: Cyclotomic fields I and II, S. Lang K Rubin Graduate Texts in Math 121, 397-419, 1990 | 81* | 1990 |

Global units and ideal class groups K Rubin Inventiones mathematicae 89 (3), 511-526, 1987 | 80 | 1987 |

Finding large Selmer rank via an arithmetic theory of local constants B Mazur, K Rubin Annals of mathematics, 579-612, 2007 | 79 | 2007 |

On the main conjecture of Iwasawa theory for imaginary quadratic fields K Rubin Inventiones mathematicae 93 (3), 701-713, 1988 | 73 | 1988 |

p-adicL-functions and rational points on elliptic curves with complex multiplication K Rubin Inventiones mathematicae 107 (1), 323-350, 1992 | 61 | 1992 |

Rank frequencies for quadratic twists of elliptic curves K Rubin, A Silverberg Experimental Mathematics 10 (4), 559-569, 2001 | 60 | 2001 |

Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer K Rubin Arithmetic theory of elliptic curves, 167-234, 1999 | 58 | 1999 |

Choosing the correct elliptic curve in the CM method K Rubin, A Silverberg Mathematics of Computation 79 (269), 545-561, 2010 | 53 | 2010 |

Twisting commutative algebraic groups B Mazur, K Rubin, A Silverberg Journal of Algebra 314 (1), 419-438, 2007 | 53 | 2007 |