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 Algebraic Number Theory:     more books (102)

61. Algebraic Number Theory | Mathematical Institute - University Of Oxford
Overview An introduction to algebraic number theory. The aim is to describe the properties of number fields, but particular emphasis in examples will be placed on quadratic fields
http://www.maths.ox.ac.uk/taxonomy/term/1236
MFoCS
Algebraic Number Theory
View course material Number of lectures: 16 HT
Overview
An introduction to algebraic number theory. The aim is to describe the properties of number fields, but particular emphasis in examples will be placed on quadratic fields, where it is easy to calculate explicitly the properties of some of the objects being considered. In such fields the familiar unique factorisation enjoyed by the integers may fail, and a key objective of the course is to introduce the class group which measures the failure of this property.
Learning Outcomes
Students will learn about the arithmetic of algebraic number fields. They will learn to prove theorems about integral bases, and about unique factorisation into ideals. They will learn to calculate class numbers, and to use the theory to solve simple Diophantine equations.
Synopsis
• field extensions, minimum polynomial, algebraic numbers, conjugates, discriminants, Gaussian integers, algebraic integers, integral basis examples: quadratic fields norm of an algebraic number existence of factorisation factorisation in ideals
• 62. Yi Ouyang's Homepage
University of Toronto. Algebraic number theory and arithmetic geometry cohomological tools to study the arithmetic properties of number fields. Publications.
http://www.math.toronto.edu/youyang/
Yi Ouyang , Postdoctoral Fellow
Department of Mathematics
University of Toronto

100 St. George Street
Phone: (416) 978-4156, (905) 828-3841
Fax: (416) 978-4107
Email: youyang@math.toronto.edu
Office: Sidney Smith 5016F or South Building 3023C(UTM)
Welcome to my homepage. I hope you enjoy your stay here.
My name is Yi Ouyang and in Chinese Ou Yang Yi. I am a postdoctoral fellow of the Department of Mathematics at the University of Toronto.
• Research
My specialty is algebraic number theory and arithmetic geometry. More specifically, I apply cohomological tools to study the arithmetic properties of number fields. One topic I am studying is the universal norm distributions, which appears quite often in the theory of cyclotomic fields, elliptic curves and modular curves. I determined the group cohomology of some universal norm distributions and used the results to study the Kolyvagin recursions in Euler systems. The other topic I am studying is about the Mordell-Weil group and Selmer group of an abelian variety in number fields, in particular, in a tower of unramified extensions. I am also participating activities in the

63. Lecture Notes Algebraic Number Theory
title. author. source. dvi. ps. pdf. html. Algebraic Number Theory. Abhijit Das. Kanpur Algebraic Number Theory. Robert Ash. Univ. Illinois Dedekind's Theory of Algebraic
http://www.fen.bilkent.edu.tr/~franz/LN/LN-ant.html
Lecture Notes on Algebraic Number Theory
title author source dvi ps pdf html Algebraic Number Theory Abhijit Das Kanpur Algebraic Number Theory Robert Ash Univ. Illinois Dedekind's Theory of Algebraic Integers Jeremy Avigad Carnegie Mellon Algebraic Number Theory Matt Baker Georgia Algebraic Number Theory I Ching-Li Chai Penn Algebraic Number Theory II Ching-Li Chai Penn Notes on Algebraic Numbers Robin Chapman Exeter Algebraic Number Theory Robin Chapman Exeter Algebraic Number Theory and Quadratic Reciprocity Henry Cohn Micro\$oft Bas Edixhoven Leiden Algebraic Number Theory Matthew Emerton Northwestern Univ. Introduction to algebraic number theory Ivan Fesenko Nottingham Local Fields and Their Extensions Ivan Fesenko, S.V. Vostokov Nottingham Algebraic Number Theory Michael Filaseta South Carolina Algebraic Number Theory Dick Gross Harvard Algebra and Number Theory Jerome William Hoffman LSU Euler Systems Barry Mazur Harvard Loic Merel Jussieu Algebraic Number Theory James Milne Ann Arbor Algebraische Zahlentheorie Wolfgang Ruppert Univ. Erlangen Algebraic Number Theory Gregory Sankaran Bath Algebraic Number Theory Rene Schoof Univ. Rome

64. Vajaitu, Marian
Romanian Academy of Sciences. Algebraic number theory, analytic number theory, class field theory and theory of algebraic functions.
http://www.imar.ro/~mvajaitu/
 CURRICULUM VITAE MARIAN VAJAITU Born: September 27, 1962, Colt, Romania. Address: Romanian Academy, P.O. Box. 1-764, R0-70700 Bucharest, Romania. Studies: I graduated from Department of Mathematics of Mathematics of the University of Bucharest in 1987. The title of Diploma Dissertation was "Riemann's zeta function and applications in Number Theory". The main lectures during this period are: two year a basic course in algebra, an year a basic course in real analysis, complex analysis (a semester), measure theory (a semester), two years a basic course in differential equations, an year of axiomatic and euclidean geometry, an year of differential geometry, an year of functional analysis, a supplementary year of algebra (number theory and groups theory), a course in Algebraic Geometry and one in Algebraic Topology. I studied some classical works in number theory, such as: - analytic number theory (from the books by Ingham, Eduards, Davenport, Titchmarsh, Halberstan, Baker, Bump). - algebraic number theory (from the books by Borevich and Shafarevich, H. Hasse and S. Lang). - valuations and the theory of algebraic functions (from the books by Schilling, Chevalley and Hasse). - class field theory (from the books by Hasse, Chevalley and Neurkirch). I participated also at the seminar of Number Theory lead by Professor N. Popescu devoted to algebraic number theory, analytic number theory, class field theory and theory of algebraic functions.

65. Private Page Berge
University Bordeaux. Algebraic number theory and geometry of numbers. Publications, recent work, and links.
http://www.math.u-bordeaux.fr/~berge/
• phone: +33-5-40-00-60-96 (From France : 05-40-00-60-96) fax : +33-5-40-00-69-50 (From France : 05-40-00-69-50)
• berge@math.u-bordeaux1.fr

• Laboratoire A2X
33405, Talence cedex
France
Math-info,
bibli
NEW
I am a Mathematics professor at the University Bordeaux 1, emeritus since 2000. My general field of research is number theory. After working for several years on algebraic number theory (Galois module structures, regulators and discriminants), I am presently interested in geometry of numbers.
Links to WEB pages of some mathematicians working on lattices and coding theory.
• Christine Bachoc Richard Borcherds Renaud Coulangeon Noam Elkies ...
• P. H. Tiep
Recent work

 66. Foundations And Trends In Communications And Information Theory by F Oggier 2004 - Cited by 49 - Related articleshttp://www.nowpublishers.com/product.aspx?product=CIT&doi=0100000003

67. Karsten's InternetWebWide World Domination Machine
Algebraic number theory. Background information and mathematical links.
http://web.ukonline.co.uk/karsten/
Personal Homepage
I have spent ten years of my youth studying pure mathematics. However, the more I learnt, the more difficult the p-adic modular forms became... Thus I am now working as a quantitative analyst at a medium-sized hedge fund in London. We are researching diverse trading strategies involving European equities, vanilla options and more complex structured products such as credit derivatives. I obtained my PhD in algebraic number theory at Cambridge University , and after that spent about a year each in the Institut Fourier in Grenoble and at the University of Durham as postdoctoral research fellow.My thesis deals with connections between representations of the absolute Galois group, elliptic curves, L-functions, and modular forms. This framework ("Langlands' philosophy") yielded the proof of the Taniyama-Weil conjecture and Fermat's Last Theorem by Wiles in 1995. My more humble contribution studies some of the ingredients in the case of modular forms on Siegel upper half-space, and formsthe basis of two 20-page papers (unfortunately my memory is fading fast, so don't ask me any technical questions!): More recently, I have done some numerical work on the pricing of arithmetically averaged asian options, i.e. financial instruments whose payoff depends on the average price achieved by the underlying over a specified time. Calls and puts can be priced with a

 68. MIT OpenCourseWare | Mathematics | 18.786 Topics In Algebraic Number Theory, Spr This course is a first course in algebraic number theory. Topics to be covered include number fields, class numbers, Dirichlet s units theorem,http://ocw.mit.edu/courses/mathematics/18-786-topics-in-algebraic-number-theory-

69. Algebraic Number Theory - Wolfram Mathematica 7 Documentation
With its convenient symbolic representation of algebraic numbers, Mathematica's stateof-the-art algebraic number theory capabilities provide a concrete implementation of one
http://reference.wolfram.com/mathematica/guide/AlgebraicNumberTheory.html
 baselang='AlgebraicNumberTheory.en'; PRODUCTS Mathematica Mathematica Home Edition Mathematica for Students ... Stephen Wolfram DOCUMENTATION CENTER SEARCH Mathematica Mathematics and Algorithms Number Theory Mathematica ... Number Theoretic Functions Algebraic Number Theory With its convenient symbolic representation of algebraic numbers, Mathematica Mathematica 's powerful unified environment. AlgebraicNumber algebraic number represented in a particular field Root represent a root of a polynomial RootApproximant root approximation IsolatingInterval MinimalPolynomial AlgebraicNumberPolynomial AlgebraicIntegerQ ... AlgebraicNumberDenominator Algebraic Number Fields ToNumberField find a common field, or express numbers in a given field NumberFieldIntegralBasis NumberFieldClassNumber NumberFieldDiscriminant NumberFieldRegulator ... NumberFieldRootsOfUnity Factorization FactorInteger factorization of integers Factor factorization of polynomials GaussianIntegers allow factorization over Gaussian integers Extension field extension for number theoretic and polynomial operations RootReduce reduce an algebraic number to minimal Root form ToRadicals convert to explicit radicals TUTORIALS TUTORIAL COLLECTION MORE ABOUT RELATED LINKS Site Index Choose Language Ask a question about this page Suggest an improvement Leave a message for the team

70. Bosma, Wieb
Radboud Universiteit Nijmegen. Computer algebra and number theory. Research, publications, and past activities.
http://www.math.ru.nl/~bosma/
Wieb Bosma
Universitair HoofdDocent Computer Algebra, Department of Mathematics, Radboud Universiteit Nijmegen, the Netherlands.

71. Budden
Armstrong Atlantic State University. Algebraic Number Theory, Automorphic Forms, Representation Theory. Publications.
http://www.math.armstrong.edu/faculty/budden/
Dr. Mark Budden Associate Professor
Office: UH 289
Phone:
E-mail:
Mark.Budden@armstrong.ed
u
Curriculum Vitae

My Mathematical Ancestry
Research Interests: Algebraic Number Theory, Representation Theory, and Automorphic Forms
Summer Course: College Algebra
Seminars: Hudson Math Colloquium and Mathematics Research Seminar PANTS X (PAlmetto Number Theory Series X) was hosted by the AASU Mathematics Department Sept. 19-20, 2009 Publications and Works in Progress (* indicates student coauthor): M. Budden, On the Local Coefficients of Principal Series Representations of Metaplectic Groups (dissertation) pdf M. Budden, Local Coefficient Matrices of Metaplectic Groups Journal of Lie Theory pdf M. Budden, P. Hadavas, L. Hoffman, and C. Pretz, Applied Mathematics E-Notes pdf (Also, see Lorrie Hoffman's program "validcor" at Carnegie Mellon University's StatLib M. Budden, R.J. Eisenmenger*, and J. Kish*, A Generalization of Scholz's Reciprocity Law, pdf M. Budden, P. Hadavas, and L. Hoffman, On the Generation of Correlation Matrices

72. The Math Forum - Math Library - Algebraic Num. Th.
The Math Forum s Internet Math Library is a comprehensive catalog of Web sites and Web pages relating to the study of mathematics. This page contains sites
http://mathforum.org/library/topics/alg_nt/
 Browse and Search the Library Home Math Topics Number Theory : Algebraic Num. Th. Library Home Search Full Table of Contents Suggest a Link ... Library Help Selected Sites (see also All Sites in this category Algebraic Number Theory: Global Fields - Dave Rusin; The Mathematical Atlas A short article designed to provide an introduction to algebraic number theory. Subcategories include rings of algebraic integers, quadratic extensions, Iwasawa theory, Galois theory, Langlands-Weil conjectures, density theorems, Adele rings and groups, class groups and Picard groups of orders, and many more. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>> All Sites - 24 items found, showing 1 to 24 Algebraic Number Theory Archives - Boston, Grayson Preprints about algebraic number theory and arithmetic geometry are accepted in electronic form for storage until publication. There are instructions for authors who wish to submit preprints to the archives and for for joining the mailing list (members ...more>> Algebra Through Problem Solving - Hillman, Alexanderson

73. Homepage Of Lindsay N. Childs
SUNY Albany. Algebra and number theory, especially relative Galois module theory.
http://math.albany.edu:8000/~lc802/
Lindsay N. Childs
Lindsay N. Childs is Professor of Mathematics at the University at Albany. The following items are available:
Revised 12/28/09

 74. Practical Applications Of Algebraic Number Theory? - MathOverflow In my introductory course, I like to spend some time on the perspective that algebraic number theory is the study of sophisticatedhttp://mathoverflow.net/questions/24971/practical-applications-of-algebraic-numb

 75. Free Books > Science > General > Algebraic Number Theory Download Book (Respecting the intellectual property of others is utmost important to us, we make every effort to make sure we only link to legitimate sites, such as those siteshttp://2020ok.com/books/4/algebraic-number-theory-34704.htm

University of Connecticut. Analytic and algebraic number theory. Research and expository papers.
Job coordinates
Math Dept. UConn, 196 Auditorium Road Unit 3009
Storrs, CT 06269-3009 E-mail: kconrad at math dot uconn dot edu.
On leave
Some pictures

 77. Midwest Algebraic Number Theory Day University of Illinois at Chicago, USA; 10 May 2003.http://www2.math.uic.edu/~jeremy/mwants03.html

78. UR Department Of Mathematics - Naomi Jochnowitz
University of Rochester. Algebraic number theory, modular forms, p-adic modular forms.
http://www.math.rochester.edu/people/faculty/what/
Naomi Jochnowitz
Department of Mathematics
University of Rochester
Rochester, NY 14627
Office: Hylan 1003
Fax: (716) 244-6631
E-mail: what@math.rochester.edu
Research Interests
Algebraic number theory, modular forms, p-adic modular forms.

 79. Algebraic Number Theory Tom Weston File Format PDF/Adobe Acrobathttp://www.math.umass.edu/~weston/cn/notes.pdf

 80. ALGEBRAIC NUMBER THEORY ALGEBRAIC NUMBER THEORY 3 Notations ∅—theemptyset (asetwithoutany elements). a∈A —aisanelementof the set A. (Or an element a of the set A.) a/ ∈A —aisnotanelementhttp://www.math.harvard.edu/~yoshida/AlgebraicNumberTheory.pdf

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