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Rational Points on Elliptic Curves Undergraduate Texts in ~ The theory of elliptic curves involves a pleasing blend of algebra geometry analysis and number theory This volume stresses this interplay as it develops the basic theory thereby providing an opportunity for advanced undergraduates to appreciate the unity of modern mathematics
Elliptic curve Wikipedia ~ Although the formal definition of an elliptic curve is fairly technical and requires some background in algebraic geometry it is possible to describe some features of elliptic curves over the real numbers using only introductory algebra and geometry
The Arithmetic of Elliptic Curves Graduate Texts in ~ The theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study This book treats the arithmetic approach in its modern formulation through the use of basic algebraic number theory and algebraic geometry
Papers Preprints and Lecture Notes by Michael Stoll ~ Genus 2 curves with several points contained in an arithmetic progression Slides of a talk at Arithmetic Geometry Number Theory and Computation MIT 20180824 pdf Simultaneous torsion in the Legendre family of elliptic curves
Ellipticcurve cryptography Wikipedia ~ Ellipticcurve cryptography ECC is an approach to publickey cryptography based on the algebraic structure of elliptic curves over finite fields
Modular Functions and Modular Forms Elliptic Modular ~ Modular Functions and Modular Forms Elliptic Modular Curves Milne Version 131 March 22 2017
VARIOUS NUMBER THEORISTS HOMEPAGESDEPARTMENTAL LISTINGS ~ Various Number Theorists Home PagesDepartmental listings Complete listing A B C D E F G H I J K L M N O P Q R S T U V
Journal of Algebra ~ The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects
Kristin Lauter at Microsoft Research ~ Kristin Lauter is a Principal Researcher and Research Manager for the Cryptography group at Microsoft Research Her research areas are number theory and algebraic geometry with applications to cryptography She is particularly known for her work on homomorphic encryption elliptic curve
Millennium Problems Clay Mathematics Institute ~ The prime number theorem determines the average distribution of the primes The Riemann hypothesis tells us about the deviation from the average
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