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Geometry, Algebra, Number Theory, and Their Information Technology Applications

conferences were aimed at honoring his many contributions to number theory, arithmetic geometry, and information technology.;

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Number Theory and Geometry

arithmetic geometry. This book is an introduction to number theory and arithmetic geometry, and the goal of the text is to use geometry as the;

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Noncommutative Geometry

key concepts of noncommutative geometry and its applications in topology, algebraic geometry, and number theory. Our presentation;

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Arithmetic Differential Equations

. For most of the book, the only prerequisites are the basic facts of algebraic geometry and algebraic number theory. It is suitable for;

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Galois Representations in Arithmetic Algebraic Geometry

title was interpreted loosely and the symposium covered recent developments on the interface between algebraic number theory and arithmetic;

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Noncommutative Geometry, Arithmetic, And Related Topics

the intersection of noncommutative geometry and number theory. The interplay between these two fields centers on the study of the rich;

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Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces

. Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces is an ideal resource for graduate students and researchers in number;

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Moduli Spaces and Arithmetic Geometry (Kyoto, 2004)

Since its birth algebraic geometry has been closely related to and deeply motivated by number theory. Particularly the modern study;

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Lectures on Logarithmic Algebraic Geometry

analyzing compactification and degeneration in algebraic geometry and number theory. It features a systematic exposition of the foundations of the;

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Number, Shape, & Symmetry

Through a careful treatment of number theory and geometry, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group;

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Euler Systems. (AM-147), Volume 147

One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler;

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Number Theory with an Emphasis on the Markoff Spectrum

different areas of number theory, highlighting the Markoff spectrum.;Detailing the integration of geometric, algebraic, analytic and arithmetic;

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Arithmetic Geometry over Global Function Fields

This volume collects the texts of five courses given in the Arithmetic Geometry Research Programme 2009-2010 at the CRM Barcelona. All;

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Arakelov Geometry and Diophantine Applications

interested in the connections between algebraic geometry and number theory. The prerequisites are some knowledge of number theory and algebraic;

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Arithmetic and Geometry Around Galois Theory

team of Galatasaray University (Istanbul): Geometry and Arithmetic of Moduli Spaces of Coverings (2008) and Geometry and Arithmetic around;

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Number Theory with an Emphasis on the Markoff Spectrum

different areas of number theory, highlighting the Markoff spectrum.;Detailing the integration of geometric, algebraic, analytic and arithmetic;

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Dynamics

. These include arithmetic geometry, flat geometry, complex dynamics, graph theory, relations to number theory, and topological dynamics. The;

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Arithmetic Geometry And Number Theory

developments in arithmetic geometry and number theory through the works of Deninger-Werner in vector bundles on curves over p-adic fields; of Jiang on;

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Number Theory, Analysis and Geometry

moved from subject to subject, he found analogies that led to important questions in such areas as number theory, arithmetic geometry, and the;

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Number Theory, Analysis and Geometry

moved from subject to subject, he found analogies that led to important questions in such areas as number theory, arithmetic geometry, and the;

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Number Theory and Algebraic Geometry

in analytic and arithmetic number theory, and algebraic geometry. The topics treated include: rational points on algebraic varieties, the Hasse;

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Number Theory

of number theory. The main sub-divisions of number theory are analytical number theory, algebraic number theory and Diophantine geometry. Some;

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Analytic Methods in Arithmetic Geometry

, Tucson, AZ. In the last decade or so, analytic methods have had great success in answering questions in arithmetic geometry and number theory;

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Arithmetic Of Elliptic Curves

. This book treats the arithmetic approach in its modern formulation, through the use of basic algebraic number theory and algebraic geometry;

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Number Theory Related to Modular Curves

varieties, and applications of arithmetic geometry to cryptography. Papers contained in this volume cover these general themes in addition to;

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London Mathematical Society Lecture Note Series Model Theory with Applications to Algebra and Analysis

The first of a two volume set showcasing current research in model theory and its connections with number theory, algebraic geometry, real;

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Model Theory with Applications to Algebra and Analysis, Volume 2

The second of a two volume set showcasing current research in model theory and its connections with number theory, algebraic geometry, real;

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