C E R  A V Gaetan Bisson Macquarie University, Sydney, Australia ECC’11

Source URL: ecc2011.loria.fr

• Algebraic curves
• Group theory
• Abelian variety
• Niels Henrik Abel
• Elliptic curve
• Isogeny

Elliptic Nets in Cryptography Katherine Stange Elliptic Divisibility Sequences

Source URL: mathsci.ucd.ie

• Algebra
• Mathematics
• Abstract algebra
• Elliptic curve cryptography
• Number theory
• Elliptic curves
• Pairing-based cryptography
• Elliptic divisibility sequence
• Division polynomials
• Elliptic curve
• Tate pairing
• Pairing

Elliptic Curves in Cryptography Ian Blake, Gadiel Seroussi and Nigel Smart Errata (for ¯rst and second printings1 ) p. 7: Line 6 should read `¯nite ¯elds and a ¯nite number of abelian varieties. For all practical pur

Source URL: www.cs.bris.ac.uk

Logic, Elliptic curves, and Diophantine stability Hilbert’s classical Tenth Problem Given a diophantine equation with any number of unknown quantities and with rational integral numerical

Source URL: www.math.harvard.edu

From now on: non-binary field k; non-square d 2 k. ( ) = f(x; y ) 2 k  k :

Source URL: mathsci.ucd.ie

• Elliptic curve cryptography
• Elliptic curves
• Doubling-oriented DocheIcartKohel curve

SELMER GROUPS OF QUADRATIC TWISTS OF ELLIPTIC CURVES Kevin James and Ken Ono 1. Introduction and Statement of Results Let E/Q be an elliptic curve given by:

Source URL: www.mathcs.emory.edu

INDIVISIBILITY OF CLASS NUMBERS OF IMAGINARY QUADRATIC FIELDS AND ORDERS OF TATE-SHAFAREVICH GROUPS OF ELLIPTIC CURVES WITH COMPLEX MULTIPLICATION Winfried Kohnen and Ken Ono

Source URL: www.mathcs.emory.edu

The Menu (1) Hilbert’s Tenth Problem and Diophantine Stability (2) Logic related to Elliptic Curves and their rational points

Source URL: www.math.harvard.edu

Cover and Decomposition Attacks on Elliptic Curves Vanessa VITSE Joint work with Antoine JOUX Universit´ e de Versailles Saint-Quentin, Laboratoire PRiSM

Source URL: ecc2011.loria.fr

• Algebraic curves
• Elliptic curve cryptography
• Public-key cryptography
• Finite fields
• Algebraic surfaces
• Elliptic curve
• Abelian variety
• Curve

The Arithmetic of Elliptic Curves. by Tate, John T. in Inventiones mathematicae volume 23; pp 

Source URL: www.fen.bilkent.edu.tr