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Karl Rubin
Karl Rubin
Thorp Professor of Mathematics, UC Irvine
Verified email at uci.edu - Homepage
Title
Cited by
Cited by
Year
The “main conjectures” of Iwasawa theory for imaginary quadratic fields
K Rubin
Inventiones mathematicae 103 (1), 25-68, 1991
4211991
Euler systems
K Rubin
Princeton University Press, 2000
370*2000
Kolyvagin systems
B Mazur, K Rubin
American Mathematical Society 168 (799), 2004
2082004
Tate-Shafarevich groups andL-functions of elliptic curves with complex multiplication
K Rubin
Inventiones mathematicae 89 (3), 527-559, 1987
1881987
A Stark conjecture “over 𝐙” for abelian L-functions with multiple zeros
K Rubin
Annales de l'institut Fourier 46 (1), 33-62, 1996
1771996
Torus-based cryptography
K Rubin, A Silverberg
Advances in Cryptology-CRYPTO 2003, 349-365, 2003
1552003
Supersingular abelian varieties in cryptology
K Rubin, A Silverberg
Advances in Cryptology—CRYPTO 2002, 336-353, 2002
1282002
Ranks of elliptic curves
K Rubin, A Silverberg
BULLETIN-AMERICAN MATHEMATICAL SOCIETY 39 (4), 455-474, 2002
1282002
Supersingular abelian varieties in cryptology
K Rubin, A Silverberg
Advances in Cryptology—CRYPTO 2002, 336-353, 2002
1282002
Ranks of twists of elliptic curves and Hilbert’s tenth problem
B Mazur, K Rubin
Inventiones mathematicae 181 (3), 541-575, 2010
1212010
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
821995
Global units and ideal class groups
K Rubin
Inventiones mathematicae 89 (3), 511-526, 1987
821987
Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer
K Rubin
Inventiones mathematicae 64 (3), 455-470, 1981
821981
The main conjecture. Appendix to: Cyclotomic fields I and II, S. Lang
K Rubin
Graduate Texts in Math 121, 397-419, 1990
81*1990
Finding large Selmer rank via an arithmetic theory of local constants
B Mazur, K Rubin
Annals of mathematics, 579-612, 2007
762007
On the main conjecture of Iwasawa theory for imaginary quadratic fields
K Rubin
Inventiones mathematicae 93 (3), 701-713, 1988
711988
p-adicL-functions and rational points on elliptic curves with complex multiplication
K Rubin
Inventiones mathematicae 107 (1), 323-350, 1992
601992
Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer
K Rubin
Arithmetic theory of elliptic curves, 167-234, 1999
571999
Rank frequencies for quadratic twists of elliptic curves
K Rubin, A Silverberg
Experimental Mathematics 10 (4), 559-569, 2001
552001
Practical cryptography in high dimensional tori
M Van Dijk, R Granger, D Page, K Rubin, A Silverberg, M Stam, ...
Advances in Cryptology–EUROCRYPT 2005, 234-250, 2005
542005
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