Karl Rubin: preprints

 

(with B. Mazur) Pairings in the arithmetic of elliptic curves (pdf, dvi).

(with A. Silverberg) Algebraic tori in cryptography (pdf, dvi), to appear in High Primes and Misdemeanours: lectures in honour of the 60th birthday of Hugh Cowie Williams, Fields Institute Communications Series, American Mathematical Society (2003).

(with A. Silverberg) Torus-based cryptography (pdf, dvi), to appear in Advances in Cryptology --- CRYPTO 2003, Lecture Notes in Computer Science (2003), Springer; Cryptology ePrint Archive, Report 2003/039

(with B. Mazur) Introduction to Kolyvagin systems (pdf, dvi).

(with B. Mazur) Studying the growth of Mordell-Weil (pdf, dvi), to appear in the Documenta Math. volume in honor of K. Kato.

(with R. Pollack) The main conjecture for CM elliptic curves at supersingular primes (pdf, dvi), to appear in Annals of Mathematics.

(with B. Mazur) Kolyvagin systems (pdf, dvi), to appear in Memoirs of the AMS.

(with B. Mazur) Elliptic curves and class field theory, in the Proceedings of the 2002 ICM (Beijing). Published version, or updated version (pdf, dvi) with corrected references.



Euler Systems.