, ` MICHELE AUDIN Institut de Recherche Math´

Source URL: www-irma.u-strasbg.fr

• Mathematical analysis
• Partial differential equations
• Algebraic curve
• Integrability conditions for differential systems
• Complex analysis
• Analytic functions
• Elliptic functions
• Theta function
• Oscillator representation

Note on the Landweber-Stong elliptic genus by Don Zagier University

Source URL: people.mpim-bonn.mpg.de

• Mathematical analysis
• Mathematics
• Complex analysis
• Elliptic functions
• Modular forms
• Analytic number theory
• Jacobi elliptic functions
• Elliptic cohomology
• Theta function
• Elliptic integral
• Genus of a multiplicative sequence
• Eisenstein series

THEOREM OF THE DAY The Lutz-Nagell Theorem For the elliptic curve y2 = x3 + ax2 + bx + c, with a, b, and c integers and having (non-zero) discriminant function D = −4a3c + a2b2 + 18abc − 4b3 − 27c2, let P = (X, Y)

Source URL: www.theoremoftheday.org

A Provably Secure Elliptic Curve Scheme with Fast Encryption David Galindo1 , Sebasti` a Mart´ın1 , Tsuyoshi Takagi2 and Jorge L. Villar1 1

Source URL: www.dgalindo.es

• Cryptography
• Abstract algebra
• Algebra
• Elliptic curves
• Group theory
• Supersingular elliptic curve
• Trapdoor function
• Finite fields
• Elliptic curve
• Lenstra elliptic curve factorization
• Elliptic curve primality

Elliptic Curve Hash (and Sign) ECOH (and the 1-up problem for ECDSA) Daniel R. L. Brown Certicom Research ECC 2008, Utrecht, Sep

Source URL: www.hyperelliptic.org

• Cryptography
• Cryptographic hash functions
• Error detection and correction
• SHA-1
• SHA-2
• MD5
• NIST hash function competition
• SHA-3
• Elliptic curve only hash
• Elliptic Curve Digital Signature Algorithm
• Libgcrypt
• FORK-256

Hierarchical deterministic Bitcoin wallets that tolerate key leakage (Short paper) Gus Gutoski1 and Douglas Stebila2 1

Source URL: fc15.ifca.ai

• Cryptography
• Key management
• E-commerce
• Public-key cryptography
• Cryptocurrencies
• Bitcoin
• Elliptic Curve Digital Signature Algorithm
• RSA
• Electronic money
• Key
• Digital signature
• Cryptographic hash function

The Book Review Column1 by William Gasarch Department of Computer Science University of Maryland at College Park College Park, MD, 20742 email:

Source URL: www.cs.umd.edu

• Cryptography
• Books on cryptography
• Elliptic curve cryptography
• Cryptanalysis
• RSA
• Key size
• Public-key cryptography
• Cryptographic hash function
• Outline of cryptography
• Cipher
• Block cipher
• Elliptic curve

Introduction Construction of hash functions Elliptic Curve L-Function Elliptic Curve Only Hash (ECOH) Hashing with Elliptic Curve L-Functions Conclusion

Source URL: www5.rz.rub.de

The Lp Dirichlet problem for second order elliptic operators and a p-adapted square function Martin Dindos∗, Stefanie Petermichl†, Jill Pipher‡ October 26, 2006 Abstract

Source URL: www.math.brown.edu

RFC6962-bis update ● ● Some tweaking still needed. Last call should wait for our implementation.

Source URL: www.ietf.org

• Cryptography
• Cryptographic protocols
• Public-key cryptography
• Search algorithms
• Elliptic Curve Digital Signature Algorithm
• Elliptic curve cryptography
• Hash function
• X.509
• SHA-2