Monodromy and the Tate conjecture-1 Monodromy and the Tate conjecture: Picard numbers and Mordell-Weil ranks in families A. Johan de Jong and Nicholas M. Katz Introduction We use results of Deligne on …-adic monodromy

Source URL: web.math.princeton.edu

• Algebraic geometry
• Tate conjecture
• Projective variety
• Algebraic number field
• Ample line bundle
• Elliptic curve
• Cohomology
• Smooth scheme
• Monodromy
• Lefschetz hyperplane theorem
• Picard group
• Hodge conjecture

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

Speaker: Andrew Sutherland Title: Sato-Tate distributions Abstract: The Sato-Tate conjecture predicts the asymptotic distribution of normalized Frobenius traces of the reductions modulo primes p of a fixed elliptic curve

Source URL: www.math.columbia.edu

Bilinear Pairings in Cryptography Master thesis #603 by

Source URL: www.math.ru.nl

• Elliptic curve cryptography
• Pairing-based cryptography
• Public-key cryptography
• Group theory
• Finite fields
• Tate pairing
• Hyperelliptic curve
• Weil pairing
• BonehLynnShacham
• BonehFranklin scheme
• Pairing
• ID-based encryption

ECCEfficient and Generalized Pairing Computation on Abelian Varieties Hyang-Sook Lee Ewha Womans University

Source URL: www.hyperelliptic.org

• Pairing-based cryptography
• Elliptic curve cryptography
• Elliptic curves
• Linear algebra
• Module theory
• Pairing
• Tate pairing
• Divisor
• Elliptic curve
• Weil pairing

Counting points on smooth plane quartics David Harvey University of New South Wales Number Theory Down Under, University of Newcastle 25th October 2014

Source URL: web.maths.unsw.edu.au

• Finite fields
• Conjectures
• Algebraic curves
• Analytic number theory
• Elliptic curve
• Group theory
• Sato–Tate conjecture
• Hyperelliptic curve
• Curve
• Abstract algebra
• Geometry
• Mathematics

Improved Side Channel Attacks on Pairing Based Cryptography Johannes Blömer∗ Peter Günther†

Source URL: eprint.iacr.org

• Pairing
• Weil pairing
• Elliptic curve cryptography
• Tate pairing
• BLS
• Elliptic curve
• ID-based encryption
• Power analysis
• Side channel attack
• Cryptography
• Abstract algebra
• Algebra

Faster Pairing Computations on Curves with High-Degree Twists Craig Costello1 , Tanja Lange2 , and Michael Naehrig2 1 Information Security Institute

Source URL: eprint.iacr.org

• Cryptography
• Mathematics
• Elliptic curve cryptography
• Linear algebra
• Module theory
• Pairing
• Elliptic curve
• Tate pairing
• Curve
• Abstract algebra
• Elliptic curves
• Algebra

Comparing Implementation Efficiency of Ordinary and Squared Pairings Christine Abegail Antonio1 , Satoru 2 and Ken Nakamula3 Department of Mathematics, Tokyo Metropolitan University Minami-Osawa, Hachioji-shi Tokyo, Japa

Source URL: eprint.iacr.org

• Mathematics
• Cryptography
• Group theory
• Finite fields
• Weil pairing
• Elliptic curve
• Pairing
• Supersingular elliptic curve
• Tate pairing
• Abstract algebra
• Elliptic curves
• Algebra

Articles Articles on Mathematics Fisher, T., Schaefer, E.F. and Stoll, M. The yoga of the Cassels Tate pairing, LMS J. Comput. Math., 13, 2010, [removed]Kachisa, E.J., Schaefer, E.F. and Scott, M. Constructing Brezing-We

Source URL: math.scu.edu

• Number theory
• Cryptography
• Algebraic curves
• Diophantine geometry
• Analytic number theory
• Elliptic curve
• Abelian variety
• Isogeny
• Pairing
• Abstract algebra
• Mathematics
• Algebra