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pro vyhledávání: '"Karl Rubin"'
Autor:
Karl Rubin
One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler systems are special collections of cohomology classes attached to p-adic Galois representations. Introduced by Vi
Publikováno v:
Algebra & Number Theory. 15:711-727
We show that if a rational map is constant on each isomorphism class of unpolarized abelian varieties of a given dimension, then it is a constant map. Our results are motivated by and shed light on a proposed construction of a cryptographic protocol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::32b6b9158221cacb752b772922dab93d
https://doi.org/10.2140/ant.2021.15.711
https://doi.org/10.2140/ant.2021.15.711
Autor:
Karl Rubin, Barry Mazur
A subfield $K$ of $\bar{\mathbb{Q}}$ is $large$ if every smooth curve $C$ over $K$ with a rational point has infinitely many rational points. A subfield $K$ of $\bar{\mathbb{Q}}$ is $big$ if for every positive integer $n$, $K$ contains a number field
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8674e475f54e0fdd22ffd24c21cf66d5
Autor:
Karl Rubin
Publikováno v:
Algebraic Number Theory — in honor of K. Iwasawa, J. Coates, R. Greenberg, B. Mazur and I. Satake, eds. (Tokyo: Mathematical Society of Japan, 1989)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a3f8e9be83fd99ce202681d1cb943ae
https://doi.org/10.2969/aspm/01710409
https://doi.org/10.2969/aspm/01710409
Autor:
Brian Conrad, Karl Rubin
The articles in this volume are expanded versions of lectures delivered at the Graduate Summer School and at the Mentoring Program for Women in Mathematics held at the Institute for Advanced Study/Park City Mathematics Institute. The theme of the pro
Publikováno v:
Inventiones mathematicae. 202:923-925
A certain argument concerning the coprimality of two variables turns out to be incorrect. We are grateful to Ruofan Wang for finding this error. On page 728 we claimed that q and m can be taken to be coprime. This is not always true but actually, in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9a9eaa8033ce1ffc585e3ad6fa81b083
https://doi.org/10.1007/s00222-015-0613-9
https://doi.org/10.1007/s00222-015-0613-9
Publikováno v:
Inventiones mathematicae. 193:697-749
Fixing a nontrivial automorphism of a number field K, we associate to ideals in K an invariant (with values in {0,1,-1}) that we call the "spin" and for which the associated L-function does not possess Euler products. We are nevertheless able, using
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e469c94f47ab4789ce6161b9ef0ee7c5
https://doi.org/10.1007/s00222-012-0438-8
https://doi.org/10.1007/s00222-012-0438-8
Autor:
Alice Silverberg, Karl Rubin
Publikováno v:
Journal of Cryptology. 22:330-364
We show that supersingular Abelian varieties can be used to obtain higher MOV security per bit, in all characteristics, than supersingular elliptic curves. We give a point compression/decompression algorithm for primitive subgroups associated with el
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5efb44780142fd19140b0df3846f69af
https://doi.org/10.1007/s00145-008-9022-1
https://doi.org/10.1007/s00145-008-9022-1
Autor:
Karl Rubin, Alice Silverberg
Publikováno v:
SIAM Journal on Computing. 37:1401-1428
We present efficient compression algorithms for subgroups of multiplicative groups of finite fields, we use our compression algorithms to construct efficient public key cryptosystems called $\T_2$ and CEILIDH, we disprove some conjectures, and we use
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::06395868304df52378ccd0365128c15c
https://doi.org/10.1137/060676155
https://doi.org/10.1137/060676155
Publikováno v:
Journal of Algebra. 314(1):419-438
If $V$ is a commutative algebraic group over a field $k$, $O$ is a commutative ring that acts on $V$, and $I$ is a finitely generated free $O$-module with a right action of the absolute Galois group of $k$, then there is a commutative algebraic group
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5af1dbceca15b3471fb912cf328ebdd7