81. Algebraic Number Theory algebraic number theory. Credits, 8 credit points. Instructor, Peter Stevenhagen, Leiden University. Email, psh@math.leidenuniv.nl http://www.few.vu.nl/onderwijs/masters/sectorplan_wiskunde/vakken/Algebraic_Numb

Dutch Master Program in Mathematics home Course Descriptions Fall 2004 Advanced Linear Programming (LNMB) Systems and Control Algebraic Number Theory Measure Theoretic Probability ... Functional Analysis Algebraic Number Theory Credits: 8 credit points Instructor: Peter Stevenhagen, Leiden University E-mail: psh@math.leidenuniv.nl Aim: This course provides a thorough introduction to algebraic number theory. It treats the arithmetic of the number rings that occur in (algorithmic) practice. Description: Introduction to algebraic numbers and number rings. Ideal factorization, finiteness results on class groups and units, explicit computation of these invariants. Special topics: binary quadratic forms, the number field sieve. Valuations and completions, local fields, introduction to class field theory. Special topics: reciprocity laws, representation of primes by quadratic forms, density theorems. Organization: Thursday morning lectures 10.15-13.00 at the University of Amsterdam . The final hour (12.15-13.00) will be devoted to homework problems. Examination: The final grade is exclusively based on the results obtained for the weekly homework assignments. The final homework assignment will be slightly more substantial.

82. K-theory Preprint Archives Electronic preprint archives for mathematics research papers in Ktheory. Includes some papers in algebraic number theory. http://www.math.uiuc.edu/K-theory/

K-theory Preprint Archives Welcome to the preprint archives for papers in K-theory. We accept submissions of preprints in electronic form for storage until publication. Storage after publication may be possible, too. Search with htdig: Search with google: Our mirror site in Germany Our home site in the USA Instructions for authors Instructions for joining the mailing list. Members of the mailing list receive announcements of preprints when they are deposited in the archives. (The list has more than 300 members.) Best Current Practices: Recommendations on Electronic Information Communication A calendar of K-theory events. A bibtex file (2342698 bytes), or the same thing gzipped (557172 bytes) containing 6454 citations to papers related to K-theory and instructions for enlarging bibtex to work with such a large file. MPRESS , a searchable index of preprints, including references to the preprints stored here. Some TeX fonts , stored in a tar image compressed with gzip, including the lams* and xy* fonts, which are needed for some of the preprints. The unprocessed recent submissions bibtex entries Source code for xdvi , a viewer under unix for dvi files.

83. Elsevier.com - Algebraic Groups And Number Theory, 139 Algebraic Groups and Number Theory provides the first systematic exposition in (Chapter Heading) algebraic number theory. Algebraic Groups. http://www.elsevier.com/wps/product/cws_home/673951

Home Site map Regional Sites Advanced Product Search ... Algebraic Groups and Number Theory, 139 Book information Product description Audience Author information and services Ordering information Bibliographic and ordering information Conditions of sale Book related information Submit your book proposal Other books in same subject area About Elsevier Select your view ALGEBRAIC GROUPS AND NUMBER THEORY, 139 To order this title, and for more information, go to http://books.elsevier.com/bookscat/links/details.asp?isbn=0125581807 By Vladimir Platonov , Academy of Sciences Andrei Rapinchuk , Academy of Sciences Rachel Rowen Included in series Pure and Applied Mathematics, 139 Description This milestone work on the arithmetic theory of linear algebraic groups is now available in English for the first time. Algebraic Groups and Number Theory provides the first systematic exposition in mathematical literature of the junction of group theory, algebraic geometry, and number theory. The exposition of the topic is built on a synthesis of methods from algebraic geometry, number theory, analysis, and topology, and the result is a systematic overview ofalmost all of the major results of the arithmetic theory of algebraic groups obtained to date. Audience Research mathematicians; graduate students; and libraries.

84. Jan Nekovar Universit© Pierre et Marie Curie (Paris VI). algebraic number theory, arithmetic algebraic geometry. http://www.math.jussieu.fr/~nekovar/

Case 247 4, place Jussieu F-75252 PARIS CEDEX 05 FRANCE Office: 175 rue du Chevaleret/ 16 rue Clisson, 75013 PARIS (Office: 7A43 Tel : Fax: E-mail: nekovar[at]math[.]jussieu[.]fr URL : http://www.math.jussieu.fr/~nekovar/ CV.ps CV.pdf Publications ... Links

85. Algebraic Number Theory The lectures for MATH0053, algebraic number theory, FebruaryMay 2001, have now finished. Fairly complete notes on the course are available as Postscript. http://www.bath.ac.uk/~masgks/Algnumthy/

Algebraic Number Theory The lectures for MATH0053, Algebraic Number Theory, February-May 2001, have now finished. Fairly complete notes on the course are available as Postscript. There are copies of them and of the solutions to the examples sheets in the pigeonholes in 1 West Level 3. Examples sheets The reading list for the course, available from the library catalogue , lists some relevant books which are available in the University of Bath Library . For number theory, Stewart and Tall is a useful source. For pure commutative ring theory, there are three standard books, all called Commutative Algebra . All are excellent, but all are hard to read as a first introduction. They are by Zariski and Samuel, by Atiyah and Macdonald, and by Matsumura. The first two are in the library; the last is not, but I have a copy I am willing to lend if anybody is interested. Examples sheets Examples sheet 1 (also as a dvi file). Examples sheet 2 (also as a dvi file). Examples sheet 3 (also as a dvi file). Examples sheet 4 (also as a dvi file).

86. Powell's Books - Graduate Texts In Mathematics #190: Problems In Algebraic Numbe The 500 problems in algebraic number theory in this work, written at varying levels of difficulty, are systemically and didactically arranged to reveal the. http://www.powells.com/biblio?isbn=0387986170

87. Algebraic Number Theory (Redirected from algebraic number theory). In mathematics, an algebraic number field (or simply number field) is a finite (and therefore algebraic) field http://www.algebra.com/algebra/about/history/Algebraic-number-theory.wikipedia

Algebraic number theory Regular View Dictionary View (all words explained) Algebra Help my dictionary with pronunciation , wikipedia etc Algebraic number field (Redirected from Algebraic number theory In mathematics , an algebraic number field (or simply number field ) is a finite (and therefore algebraic field extension of the rational numbers Q . That is, it is a field which contains Q and has finite dimension when considered as a vector space over Q The study of algebraic number fields, and these days also of infinite algebraic extensions of the rational number field, is the central topic of algebraic number theory See in particular: quadratic field cyclotomic field additive polynomial Ideal class group ... mathematics -related article is a stub . You can help Wikipedia by expanding it Retrieved from " http://en.wikipedia.org/wiki/Algebraic_number_field Categories Algebraic number theory Abstract algebra ... Mathematics stubs Views Article Discussion Edit this page History Personal tools Create account / log in Navigation Main Page Community portal Current events Recent changes ... Donations Search Toolbox What links here Related changes Upload file Special pages ... Permanent link In other languages Slovenà ¡Äina Deutsch This page was last modified 11:01, 28 August 2005.

88. D. Prasad Tata Institute for Fundamental Research. algebraic number theory, Automorphic forms, Representation theory. Publications. http://www.math.tifr.res.in/~dprasad/

Dipendra Prasad Email dprasad@math.tifr.res.in Professor of Mathematics. PhD from Harvard University, 1989. Mathematical Interest : Algebraic number theory, Automorphic forms, Representation theory. List of Publications Description of Work Professional Recognition Professional Experience List of Publications Papers in Journals Trilinear forms for representations of GL(2) and local epsilon factors, Compositio Math TEX file DVI file (With B.H. Gross) Test Vectors for linear forms, Maths Annalen PDF file Invariant linear forms for representations of GL(2) over a local field, American J. of Maths TEX file DVI file (With B.H. Gross) On the decomposition of a representation of SO(n) when restricted to SO(n-1), Canadian J. of Maths TEX file DVI file On the decomposition of a representation of GL(3) restricted to GL(2), Duke J. of Maths PDF file Bezout's theorem for simple abelian varieties, Expositiones Math. On the local Howe duality correspondence, IMRN , No. 11, 279-287 (1993). [ PDF file (With B.H. Gross) On irreducible representations of SO(2n+1)xSO(2m), Canadian J. of Maths

89. Lecture Notes Algebraic Number Theory algebraic number theory. Matt Baker. Georgia. algebraic number theory I algebraic number theory and Quadratic Reciprocity. Henry Cohn. Micro$oft 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

90. Algebraic Number Theory - Definition Of Algebraic Number Theory In Encyclopedia In mathematics, an algebraic number field (or simply number field) is a finite field extension of the rational numbers Q. That is, it is a field which http://encyclopedia.laborlawtalk.com/Algebraic_number_theory

Add to Favorites General Encyclopedia Legal ... Law forum Search Word: Visit our Law forums Labor Law Accidents Law Bankruptcy Law Business Law ... Tax Law In mathematics , an algebraic number field (or simply number field ) is a finite field extension of the rational numbers Q . That is, it is a field which contains Q and has finite dimension when considered as a vector space over Q The study of algebraic number fields, and these days also of infinite algebraic extensions of the rational number field, is the central topic of algebraic number theory See in particular: quadratic field cyclotomic field Ideal class group Dirichlet's unit theorem ... Dedekind zeta function This article is licensed under the GNU Free Documentation License . It uses material from the Wikipedia article "Algebraic_number_theory" Browse algebraic number algal Algebraic number theory Algeripithecus ... algolagnia Search Word: General Encyclopedia Legal Medical Computer Science Law Forum Embed a dictionary search in your own web page Link to Us Advertise Add to Favorites ... Legal notices

91. Leanne Robertson's Homepage Smith College. algebraic number theory; Class groups and class numbers; Power integral bases; Cyclotomic fields. Publications. http://maven.smith.edu/~lroberts/

Leanne Robertson Assistant Professor Department of Mathematics Smith College Northampton, MA 01063 Office: 314 Burton Hall voice: 413-585-3861 fax: 413-585-3786 email: lroberts@math.smith.edu Office Hours: Monday 2-3 Tuesday 9-10 Thursday 1:30-2:30 and by appointment Courses MTH 105 Discovering Mathematics MTH 111 Calculus MTH 153 Discrete Mathematics MTH 211 Linear Algebra (Fall 2005) MTH 224 Geometry MTH 233 Modern Algebra MTH 238 Number Theory MTH 307 Topics in Math Education MTH 333 Topics in Abstract Algebra (Topic Spring 2004: Algebraic Number Theory) Education: Ph. D. University of California at Berkeley B.A. Reed College Research Interests: Algebraic number theory Class groups and class numbers Power integral bases Cyclotomic fields Publications (pdf file with abstracts) I am a member of the Five College Number Theory Seminar Useful links for students: A Guide to Mathematics at Smith College Summer Research Opportunities for Students Budapest Semester in Mathematics Hudson River Undergraduate Math Conference ... Smith College

92. Number Theory introductory number theory, algebraic number theory, analytic number theory, Introduction to algebraic geometry, modular forms, cyclotomic fields. http://www.math.mcgill.ca/department/numtheory.php

Research Research home page Algebraic Geometry Analysis Applied Mathematics ... Seminars Number Theory Number theory is as old as human thought, if not older. The ancient civilizations were preoccupied with many fundamental questions of number theory. Rightly so. Civilization as we know it today would not be if it were not for the concept of zero, for example. Indeed many of the unsolved problems of number theory have the fertile quality of generating new fundamental concepts of mathematics. Over the centuries, this discipline has grown into a mighty banyan tree with extensive branches into other areas of mathematics: algebraic geometry, representation theory, group theory, harmonic analysis, theoretical physics and computer algorithms to name only a few. The group at McGill, consisting of Henri Darmon Eyal Goren John Labute and Jonathan Pila has been focusing on arithmetic algebraic geometry and number theory with special emphasis on elliptic curves, L-functions, Shimura varieties and automorphic forms. The McGill group is part of an active Montreal-wide number theory network which organises, among other scientific activities, the world-famous Quebec-Vermont Number Theory Seminar CICMA ) is the basis of the number theory seminar. As such, course notes and research papers (in preprint form) are produced and circulated on a regular basis by the participants. Students at McGill can take advantage of the expertise grouped around CICMA and conduct research under the supervision of any of its members.

93. 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-bordeaux.fr Laboratoire A2X 33405, Talence cedex France Math-info, bibli 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 Publications Liste des publications. Format dvi postscript Recent work Perfect Lattices having a prescribed perfect section with the same norm. Classification of positive forms having prescribed automorphisms, Contemporary Mathematics, Volume 249 (1999), 199204. Symplectic lattices, Contemporary Mathematics, Volume 272 (2000), 922. J. Th. Nombres Bordeaux, Volume 12, (2000), 281291. Symmetric Groups and Lattices (avec J. Martinet)

94. 1.3.4 Algebraic Number Theory -- Dr S Howson -- 16 HT 1.3.4 algebraic number theory Dr S Howson 16 HT. http://www.maths.ox.ac.uk/current-students/undergraduates/handbooks-synopses/200

Next: 1.3.5 Algebraic Topology Up: 1.3 Geometry and Number Previous: 1.3.3 Analytic Number theory Contents Subsections 1.3.4.1 Aims 1.3.4.2 Synopsis 1.3.4.3 Reading 1.3.4 Algebraic Number Theory Dr S Howson 16 HT Prerequisites : Students who have not taken section b10 Elementary Number Theory should read about quadratic residues in, for example, the appendix to Stewart and Tall. This will help with the examples. 1.3.4.1 Aims To get a deeper understanding of the ordinary integers, it is useful to ' the solutions of equations, and be free to operate with numbers in this larger domain (just as one does when moving from the real numbers to the complex numbers). Algebraic number theory determines to what extent arithmetic in rings like is the same as ordinary arithmetic, and in what ways it differs. Having established some basic principles one can apply these to problems in number theory such as finding integer solutions to polynomial equations. 1.3.4.2 Synopsis Algebraic number fields. Algebraic integers; existence and properties of an integral basis; examples, including quadratic and cyclotomic fields. Ideals, fractional ideals, unique factorisation of ideals. Splitting of rational primes in field extensions. The ideal class group and the group of units. Applications to Diophantine equations

95. Math 248B - Algebraic Number Theory - Winter 2004 Math 248B algebraic number theory - Winter 2004. General information Syllabus Announcements Dates Homework Handouts http://math.stanford.edu/~brubaker/math248b.html

Math 248B - Algebraic Number Theory - Winter 2004 General information Syllabus Homework Handouts General information Meeting Time Mon., Wed., Fri., 10:00 - 10:50 (may be negotiated otherwise) Location Building 380 (Math), room 381-T Professor Ben Brubaker ( brubaker@math.stanford.edu Office: 382-F (2nd floor, Math building 380) Office Phone: 3-4507 Office Hours: Monday 2-3:30, Wednesday 2-3:30, or by appointment. Course Assistant Ryan Vinroot ( vinroot@math.stanford.edu Office: 380-G (Basement, Math building) Office hours: By appointment only. Textbooks Multiplicative Number Theory , by Harold Davenport. The Theory of the Riemann Zeta Function , by E.C. Titchmarsh. Course Content We will review the basics of class field theory in the first week through the lens of reciprocity. Then we'll head to Davenport, covering the first 8 chapters, essential and classical analytic number theory from which all else follows. We'll break and do several weeks on the zeta function. Classical stuff again, but often shoved under the rug. We'll end with a potpourri of topics, including Siegel's theorem and proofs of algebraic facts using analytic information. We conclude by discussing automorphic forms in general and their role in solving fundamental questions in algebraic number theory. It will be sweet. Prerequisites There are essentially no prerequisites for this course. If you took Rubin's 248A in the fall, or know the equivalent information, you'll have a better view from which to understand the arc of the course, but its not at all necessary in understanding the day to day material.

96. HOME PAGE OF DAVID J. WRIGHT Oklahoma State University. algebraic number theory and algebraic groups, with methods from functional analysis and analytic number theory. http://www.math.okstate.edu/~wrightd/

David J. Wright's Home Hello: I am a mathematician on the faculty of Oklahoma State University. My home page is divided up into the following areas of information: Current Teaching Schedule My resume and other personal information Some facts about my education, career and family are given here. MSRI MathGraphics info: notes and info about lectures Number Theory and PARI This a web supplement I created to the textbook Elementary Number Theory and its Applications by Ken Rosen. It contains among other things: Web tools for Number Theory Web tools for Cryptology Student Projects in Number Theory and Cryptology The Indra's Pearls Web Site Information on a book about kleinian groups which I co-authored and which is now published by Cambridge University Press. MATH 6490: Indra's Pearls Course Materials The course ran in the spring of 2004. Introduction to Dynamical Systems and Fractals These are the materials I prepared for a course given in the spring of 1996, including a 170-page book processed in latex2html. Symmetry Web This is a World Wide Web machine for experimenting with symmetry groups of simple geometric figures.

97. UM Department Of Mathematics: University Of Michigan Department Of Mathematics: analytic number theory (Math 675/775) and; algebraic number theory and class field theory (Math 676/776). One additional advanced number theory course is http://www.math.lsa.umich.edu/research/number_theory/

Home People Graduate Program Undergraduate Program ... Links Search Mathematics Search WWW Graduate Program in Number Theory at the University of Michigan. The department has long maintained a vigorous graduate program in number theory. Faculty Permanent: (tenured and tenure-track) B. Conrad (starts Fall 2000), Algebraic number theory; arithmetic geometry. D.J. Lewis (currently on retirement furlough), Diophantine equations, algebraic number fields and function fields H.L. Montgomery, Analytic number theory, distribution of prime numbers, Fourier analysis, analytic inequalities, probability. C. Skinner (starts Fall 2000) Algebraic number theory; arithmetic geometry. T. Wooley Analytic number theory, diophantine equations. Junior: M. Emerton, A. Toth. Faculty in related areas include: I. Dolgachev (algebraic geometry), W. Fulton (algebraic geometry), T. Hales (representation theory; Langlands program), R. Lazarsfeld (algebraic geometry), A. Moy (representation theory), G. Prasad (arithmetic of algebraic groups). Courses Each year the department offers an undergraduate course in number theory, Math 475, and an introductory graduate course, Math 575.

98. Chris Smyth Edinburgh University. algebraic number theory, especially algebraic integers which are constrained in some way; algorithmic aspects of algebraic curves; combinatorial aspects of network design. Recent publications. http://www.maths.ed.ac.uk/~chris/

Chris Smyth's minimalist home page. Misc Hamilton's Bridge over the Royal Canal, Dublin Misc Misc James Cook Mathematical Notes Clark's Nutcracker Four herons in Regent's Park, London, 25 March 2005 (photo: Dan Salter) Family photos: you have been warned! ... AKS Recent preprints and papers N. Berry, A. Dubickas, N.Elkies, B. Poonen and C J Smyth, The conjugate dimension of algebraic numbers . Click here for .ps file or here for xxx archive C J Smyth, Explicit formulas for the Mahler measure of families of multivariable polynomials. Click here for .ps file. J McKee and C J Smyth, There are Salem numbers of every trace. Click here for .ps file or here for xxx archive J McKee and C J Smyth, Salem numbers of trace -2 and traces of totally positive algebraic integers. Click here for .ps file A Dubickas and C J Smyth, On metric heights , Periodica Math. Hung. 46 (2)(2003), 135-155. F Beukers and C J Smyth, Cyclotomic points on curves. In: Number Theory for the Millenium I, A.K. Peters 2002 ( Proceedings of the Millennial Conference on number theory, Urbana May 21-26 2000), 67-85. Click here for .ps file.

99. Algebraic Number Theory: algebraic number theory Next Global Theory Up Number Theory Previous Analytic Number Theory. algebraic number theory http://www.math.dartmouth.edu/graduate-students/syllabi/graduate-syllabi/number-

Next: Global Theory: Up: Number Theory Previous: Analytic Number Theory: Algebraic Number Theory: Global Theory: Local Theory: root

100. Algebraic Number Theory algebraic number theory. (G) Lang algebraic number theory; 6. (G) Marcus Number Fields; 7. (G) Ribenboim Algebraic Numbers; 8. http://www.math.dartmouth.edu/graduate-students/syllabi/graduate-syllabi/number-

Next: About this document ... Up: References: Previous: Analytic Number Theory Algebraic Number Theory (G = Global; L = Local) (L) Artin: Algebraic Numbers and Algebraic Functions (G,L) Cassels, Frohlich: Algebraic Number Theory (G,L) Golstein: Analytic Number Theory (Chapters 1-6) (G,L) Janusz: Algebraic Number Fields (G) Lang: Algebraic Number Theory (G) Marcus: Number Fields (G) Ribenboim Algebraic Numbers (L) Weiss: Algebraic Number Theory root

Page 5     81-100 of 187    Back | 1  | 2  | 3  | 4  | 5  | 6  | 7  | 8  | 9  | 10  | Next 20