Computing genus 2 curves from invariants on the Hilbert moduli space Journal of Number Theory, Special Issue on Elliptic Curve Cryptography http://eprint.iacr.org

Source URL: 2010.eccworkshop.org

• Algebra
• Abstract algebra
• Analytic number theory
• Invariant theory
• Algebraic surfaces
• Algebraic curves
• Moduli space
• Moduli theory
• Modular form
• Abelian variety
• Elliptic curve
• Complex multiplication

COUNTING COVERS OF AN ELLIPTIC CURVE MIKE ROTH A BSTRACT. This note is an exposition of part of Dijkgraaf’s article [Dij] on counting covers of elliptic curves and their connection with modular forms. C ONTENTS

Source URL: www.mast.queensu.ca

IMAPP MATHEMATICS RADBOUD UNIVERSITY NIJMEGEN The Netherlands Better paths for elliptic curve primality proofs

Source URL: www.math.ru.nl

• Mathematics
• Primality tests
• Number theory
• Abstract algebra
• Finite fields
• Analytic number theory
• Elliptic curve primality
• Group theory
• Modular arithmetic
• Elliptic curve
• Primality certificate
• AKS primality test

Explicit Algorithms for Humbert Surfaces David Gruenewald A thesis submitted in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Pure Mathematics at the University of Sydney, December 2008

Source URL: echidna.maths.usyd.edu.au

• Abelian varieties
• Algebraic surfaces
• Analytic number theory
• Algebraic curves
• Bernhard Riemann
• Humbert surface
• Modular form
• Elliptic curve
• Complex multiplication
• Shimura variety
• AppellHumbert theorem
• Abelian surface

INTRODUCTION TO SHIMURA CURVES, II Pilar Bayer Universitat de Barcelona • Mathematisches Institut, Georg-August-Universit¨ at, G¨

Source URL: www.uni-math.gwdg.de

• Differential geometry
• Curves
• Differential geometry of curves
• Modular curve
• Shimura variety
• Geometry
• Abstract algebra
• Mathematical analysis

ec: A Modular Elliptic Curve Library for Haskell Nikhil Desai and Brandon Azad June 11, 2014 1

Source URL: www.scs.stanford.edu

Discrete logarithms: Recent progress in small characteristic Antoine Joux CryptoExperts Chaire de Cryptologie de la Fondation de l’UPMC — LIP6

Source URL: www-fourier.ujf-grenoble.fr

• Logarithms
• Computational hardness assumptions
• Modular arithmetic
• Finite fields
• Discrete logarithm
• Index calculus algorithm
• Elliptic curve
• Discrete logarithm records
• Abstract algebra
• Mathematics
• Group theory

Review of Elliptic curves, by Anthony W. Knapp This book is about elliptic curves and modular functions, two topics that are intimately related in both accidental and essential ways. As emphasized by Andr´e Weil in his

Source URL: www.sunsite.ubc.ca

• Analytic number theory
• Modular forms
• Algebraic curves
• Abelian varieties
• Conjectures
• Elliptic curve
• Modularity theorem
• Modular elliptic curve
• Arithmetic of abelian varieties
• Abstract algebra
• Mathematics
• Mathematical analysis

PDF Document

Source URL: www.numbertheory.org

• Group theory
• Modular arithmetic
• Quadratic residue
• Integer sequences
• Elliptic curve
• Prime number
• Number theory
• Quadratic field
• Abstract algebra
• Mathematics
• Algebraic number theory