Karl Rubin
Karl Rubin
Thorp Professor of Mathematics, UC Irvine
Verified email at uci.edu - Homepage
Title
Cited by
Cited by
Year
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
3761991
Euler systems
K Rubin
Princeton University Press, 2000
2972000
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
1711987
A Stark conjecture “over 𝐙” for abelian L-functions with multiple zeros
K Rubin
Annales de l'institut Fourier 46 (1), 33-62, 1996
1641996
Kolyvagin systems
B Mazur, K Rubin
American Mathematical Society 168 (799), 2004
1542004
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
1472003
Supersingular abelian varieties in cryptology
K Rubin, A Silverberg
Advances in Cryptology—CRYPTO 2002, 336-353, 2002
1282002
Supersingular abelian varieties in cryptology
K Rubin, A Silverberg
Advances in Cryptology—CRYPTO 2002, 336-353, 2002
1282002
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
1212002
Ranks of twists of elliptic curves and Hilbert’s tenth problem
B Mazur, K Rubin
Inventiones mathematicae 181 (3), 541-575, 2010
1052010
Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer
K Rubin
Inventiones mathematicae 64 (3), 455-470, 1981
821981
Finding large Selmer rank via an arithmetic theory of local constants
B Mazur, K Rubin
Annals of mathematics, 579-612, 2007
702007
Families of elliptic curves with constant mod p representations
K Rubin
Conference on Elliptic Curves and Modular Forms, 148-161, 1995
681995
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
671987
On the main conjecture of Iwasawa theory for imaginary quadratic fields
K Rubin
Inventiones mathematicae 93 (3), 701-713, 1988
621988
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Articles 1–20