Abstract Algebra Algebra Algebraic Geometry Algebraic Topology Applied Mathematics Arithmetic Geometry Basic Algebra Basic Mathematics Calculus Category Theory Classical Analysis Combinatorics Commutative Algebra Complex Algebra Complex Analysis Differential Algebra Differential Analysis Differential Calculus Differential Equations Differential Geometry Differential Topology Discrete Mathematics Elliptic Curves Fourier Analysis Functional Analysis Fractals Fractional Calculus Geometric Algebra Geometry Geometric Topology Groups Theory Graph Theory Harmonic Analysis Higher Algebra History of Mathematics Homological Algebra Integral Calculus K-theory Lie Algebra Linear Algebra Mathematical Analysis Mathematical Series Modern Geometry Multivairable Calculus Number Theory Numerical Analysis Probability Theory Real Analysis Rings and Fileds Riemannian Geometry Theorems in Calculus Topology Trigonometry Set Theory Constants & Numerical Sequences
Lectures on Moduli Spaces of Elliptic Curves
The goal of these notes is to introduce orbifolds and stacks through the example of elliptic curves. This note contains below topics, Elliptic Curves and the Moduli Problem, Families of Elliptic Curves and the Universal Curve, The Orbifold and Modular Forms.
Author(s): Richard Hain
80 Pages 
Lectures on Moduli Spaces of Elliptic Curves
The goal of these notes is to introduce orbifolds and stacks through the example of elliptic curves. This note contains below topics, Elliptic Curves and the Moduli Problem, Families of Elliptic Curves and the Universal Curve, The Orbifold and Modular Forms.
Author(s): Richard Hain
80 Pages
Park City lectures on elliptic curves over function fields
This note contains below topics, Background on curves and function fields, Elliptic curves over function fields, Surfaces and the Tate conjecture.
Author(s): Douglas Ulmer
72 Pages
Elliptic Curves An Introduction
This note describes the following topics, Solving cubic equations in two variables, Group law on the cubic curve, Theta functions, Rank two vector bundles on elliptic curves.
Author(s): University of Limerick
99 Pages
Elliptic Curve Cryptography by Abhijit Das
This note explains the following topics, Arithmetic of Elliptic Curves, Classical EllipticCurve Cryptography, Efficient Implementation, Introduction to Pairing, PairingBased Cryptography, Sample ApplicationECDSA Batch Verification.
Author(s): Abhijit Das
137 Pages
Elliptic Functions An Elementary Text Book for Students of Mathematics
This note explains the following topics, Elliptic Integrals, Elliptic Functions, Periodicity of the Functions, Landens Transformation, Complete Functions, Development of Elliptic Functions into Factors, Elliptic Integrals of the Second Order, Numerical Calculations.
Author(s): Arthur L. Bake
147 Pages
Elliptic Curve Cryptography by Christian Wuthrich
Ellipticcurve cryptography is an approach to publickey cryptography based on the algebraic structure of elliptic curves over finite fields.
Author(s): Christian Wuthrich
98 Pages
Elliptic Curves by Samuele Anni
This note explains the following topics, Plane curves, Projective space and homogenisation, Rational points on curves, BachetMordell equation, Congruent number curves, Elliptic curves and group law, Integer Factorization Using Elliptic Curves, Isomorphisms and jinvariant, Elliptic curves over C, Endomorphisms of elliptic curves, Elliptic Curves over finite fields, The MordellWeil Theorem, Elliptic Curve Cryptography.
Author(s): Samuele Anni
126 Pages
Mathematical Foundations of Elliptic Curve Cryptography
This note covers the following topics, algebraic curves, elliptic curves, elliptic curves over special fields, more on elliptic divisibility sequences and elliptic nets, elliptic curve cryptography, computational aspects, elliptic curve discrete logarithm.
Author(s): Prof. Dipl-Ing, Dr. techn. Michael Drmota
113 Pages