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Elliptic curve
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#	Item
771	The Past, evolving Present and Future of Discrete Logarithm Antoine Joux, Andrew Odlyzko and Cécile Pierrot Abstract The first practical public key cryptosystem ever published, the Diffie-Hellman key exchange algorithm, Add to Reading List Source URL: www.dtc.umn.edu Language: English - Date: 2014-06-04 21:00:21 Finite fields Logarithms Computational hardness assumptions Group theory Diffie–Hellman problem Index calculus algorithm Discrete logarithm XTR Elliptic curve cryptography Abstract algebra Cryptography Mathematics
772	SELMER COMPANION CURVES BARRY MAZUR AND KARL RUBIN Abstract. We say that two elliptic curves E1 , E2 over a number field K are n-Selmer companions for a positive integer n if for every quadratic character χ Add to Reading List Source URL: abel.math.harvard.edu Language: English - Date: 2012-03-09 13:52:58 Analytic number theory Elliptic curve Group theory
773	ON THE COHOMOLOGY OF CERTAIN PEL TYPE SHIMURA VARIETIES ELENA MANTOVAN Abstract. In this paper, we study the local geometry at a prime p of PEL type Shimura varieties for which there is a hyperspecial level subgroup. We Add to Reading List Source URL: www.its.caltech.edu Language: English - Date: 2008-10-13 16:07:02 Homological algebra Cohomology theories Algebraic surfaces Algebraic groups Shimura variety Barsotti–Tate group Étale cohomology Elliptic curve Tate group Abstract algebra Algebra Algebraic geometry
774	Open problems: Descending cohomology, geometrically compiled by Barry Mazur * Open problems in mathematics, statistics, theoretical computer science and related areas are welcome. Please contact the section editor Kefeng Add to Reading List Source URL: abel.math.harvard.edu Language: English - Date: 2014-07-24 21:21:20 Hodge theory Homological algebra Algebraic curves Abelian varieties Algebraic surfaces Elliptic curve Hodge structure Moduli space Intermediate Jacobian Abstract algebra Algebraic geometry Geometry
775	ON CERTAIN UNITARY GROUP SHIMURA VARIETIES by Elena Mantovan Abstract. — In this paper, we study the local geometry at a prime p of a certain class of (PEL) Add to Reading List Source URL: www.its.caltech.edu Language: English - Date: 2006-09-05 14:20:40 Algebraic geometry Shimura variety Étale cohomology Elliptic curve Group scheme Galois module Abelian variety Tate–Shafarevich group Barsotti–Tate group Abstract algebra Algebra Homological algebra
776	THE FACES OF EVIDENCE (IN MATHEMATICS) BARRY MAZUR Notes for the presentation and discussion at Museion, February 5, [removed]What is evidence? Add to Reading List Source URL: abel.math.harvard.edu Language: English - Date: 2014-01-16 09:46:11 Fractals Analytic number theory Mandelbrot set Elliptic curve Julia set Philosophy of mathematics Theorem Mathematical proof Representation theory Mathematics Mathematical analysis Complex dynamics
777	ELLIPTIC CURVES AND THEIR STATISTICS Rough notes for my Basic Notions Talk, Feb[removed]B. Mazur Add to Reading List Source URL: abel.math.harvard.edu Language: English - Date: 2012-02-27 12:02:38 Analytic number theory Algebraic number theory Field theory Diophantine geometry Algebraic curves Elliptic curve Algebraic number field Prime number Quartic function Abstract algebra Mathematics Algebra
778	Elliptic curves, their companions, and their statistics Barry Mazur What is the probability that a cubic plane curve with rational coefficients has infinitely many rational points? Questions of this type (more exactly fo Add to Reading List Source URL: abel.math.harvard.edu Language: English - Date: 2011-12-13 10:36:46 Diophantine geometry Elliptic curves Abelian varieties Analytic number theory Group theory Mordell–Weil theorem Rational point Arithmetic of abelian varieties Curve Abstract algebra Mathematics Algebraic geometry
779	Internet Engineering Task Force (IETF) Request for Comments: 5759 Category: Informational ISSN: [removed]J. Solinas Add to Reading List Source URL: www.rfc-editor.org Language: English - Date: 2010-01-24 14:56:32 Cryptographic protocols Electronic commerce X.509 NSA Suite B Cryptography Elliptic curve cryptography Elliptic Curve DSA Revocation list Public key certificate Elliptic curve Diffie–Hellman Cryptography Public-key cryptography Key management
780	############################################################## Elliptic Curve Digital Signature Algorithm Curve = P-192 Hash Length = 160 ############################################################## =================== Add to Reading List Source URL: csrc.nist.gov Language: English - Date: 2012-08-08 12:44:02 Civil law Cyberwarfare Digital signature Digital Signature Algorithm Applied mathematics Public-key cryptography Cryptography Elliptic Curve DSA

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