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Elliptic Curves and Big Galois Representations

The arithmetic properties of modular forms and elliptic curves lie at the heart of modern number theory. This book develops a;

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Elliptic Curves, Hilbert Modular Forms And Galois Deformatio

of elliptic curves and their classification.;

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Elliptic Curves, Modular Forms and Iwasawa Theory

collection of contributions covers a range of topics in number theory, concentrating on the arithmetic of elliptic curves, modular forms, and Galois;

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Mordell Weil Lattices

the theory of Mordell-Weil lattices in detail, notably, relevant portions of lattice theory, elliptic curves, and algebraic surfaces. After;

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Computational Aspects Of Algebraic Curves

in algebraic curves is receiving more interest not only from the mathematics community, but also from engineers and computer scientists, because of the;

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Number Theory Related to Modular Curves

of Galois representations attached to modular forms, rational points on elliptic and modular curves, modularity of some families of Abelian;

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Computational Aspects of Modular Forms and Galois Representations

of elliptic curves (Schoof's algorithm) was at the birth of elliptic curve cryptography around 1985. This book gives an algorithm for computing;

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Elliptic Curves. (MN-40), Volume 40

analytic functions in the upper half plane with certain transformation laws and growth properties. The two subjects--elliptic curves and modular;

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LMSST

is the little that is needed on Galois cohomology. Many examples and exercises are included for the reader. For those new to elliptic curves;

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London Mathematical Society Student Texts

is the little that is needed on Galois cohomology. Many examples and exercises are included for the reader. For those new to elliptic curves;

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Twisted L-Functions and Monodromy. (AM-150), Volume 150

questions where we do not even know what sort of answers to expect. This book explores two of them: What is the average rank of elliptic curves, and;

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Complex Multiplication

of integers and applications to cryptography using elliptic curves. The author is exhaustive in his treatment, giving a thorough development of the;

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Elliptic Functions

Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and algebraic-arithmetic theory has been at the;

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Fermat's Last Theorem

proof relies on basic background materials in number theory and arithmetic geometry, such as elliptic curves, modular forms, Galois;

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Elliptic Curves

Like its bestselling predecessor, Elliptic Curves: Number Theory and Cryptography, Second Edition develops the theory of elliptic curves to;

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Galois Representations in Arithmetic Algebraic Geometry

attention, e.g. Erez on geometric trends in Galois module theory; Mazur on rational points on curves and varieties; Moonen on Shimura varieties;

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Algebraic Geometry for Beginners

detailed treatment of algebraic plane curves with a special emphasis on elliptic curves and their birational classification. The role played by;

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The Arithmetic of Elliptic Curves

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;

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Jacobi Forms Finite Quadratic Modules and Weil Representations over Number Fiel

arithmetic theory of Hilbert modular forms, its L-series, and into elliptic curves over number fields. This work is inspired by the classical theory;

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Elliptic curves and functions

An introduction in the theory of elliptic functions and elliptic curves. Both are a priori different mathematical subjects. However, there;

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Galois Groups and Fundamental Groups

covered are elliptic surfaces, Grothendieck's anabelian conjecture, fundamental groups of curves and differential Galois theory in positive;

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Arithmetic Of Elliptic Curves

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;

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Automorphic Forms & Galois Representati

Automorphic forms and Galois representations have played a central role in the development of modern number theory, with the former coming;

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The Arithmetic of Elliptic Curves

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;

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Elliptic Curves, Modular Forms and Their L-functions

of elliptic curves, modular forms, and $L$-functions. His main goal is to provide the reader with the big picture of the surprising connections among;

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Modular Forms and Fermat's Last Theorem

curves, modular functions, modular curves, Galois cohomology, and finite group schemes. Representation theory, which lies at the core of Wiles;

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Ranks of Elliptic Curves and Random Matrix Theory

interplay of number theory and random matrices. It begins with an introduction to elliptic curves and the fundamentals of modelling by a family;

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