101. CRC Press Online - Book: Algebraic Number Theory Textbooks Only http://www.crcpress.com/shopping_cart/products/product_detail.asp?sku=3989

102. NUS Dept Of Maths Algebra And Number Theory Seminars Algebra and Number Theory Seminar. Schedule of meetings. http://www.math.nus.edu.sg/~mattankm/AlgSem/

Department of Mathematics National University of Singapore Semester 1, 2005/6 Venue: Colloquium Room B (S14-03-09). Time: 2-3 pm (unless otherwise stated) 10 Aug Lim Meng Fai Some characteristic classes in number theory 17 Aug Chan Song Heng Stephen The partition function and its generalizations 24 Aug Gregor Kempor, Technische Universit ät München (Venue: CRA, Time: 1-2 pm) Invariant theory and computer vision 31 Aug Kim Sangjib Standard monomial theory for flag algebras 7 Sep Nolan Wallach, University of California, San Diego (Colloquium Talk) Shuffling and r -quasisymmetric polynomials 14 Sep Chin Chee Whye Direct and inverse problems in representation theory 21 Sep Break 28 Sep Tan Kai Meng The Fock space representation of the quantum affine algebra of sl n 5 Oct Helmer Aslaksen (Venue: CRA, Time: 1-2 pm) Extending 12 Oct Cancelled Abstracts Some characteristic classes in number theory Lim Meng Fai The talk is based on a paper by Max Karoubi and Thierry Lambre, titled “Quelques classes caractéristiques en théorie des nombres” (Some characteristic classes in number theory), which appears in J. Reine. Angew. Math. 543 (2002), 169-186. The Dennis trace map mod

103. Henri Cohen. Computational Algebraic Number Theory Quadratic fields provide an excellent testing and training ground for the techniques of algorithmic number theory (and for algebraic number theory in http://www.ega-math.narod.ru/Books/Cohen.htm

104. Mastermath Credits 8 credit points Instructors Top, J. (Rijksuniversiteit Groningen), Smit, B. de (Universiteit Leiden) Email J.Top@math.rug.nl, desmit@math.leidenuniv.nl http://www.mastermath.nl/program/00003/00009/

About Mastermath Links Locations Contact ... Spring 2011 Algebraic Number Theory Credits 8 credit points Instructors Top, J. (Rijksuniversiteit Groningen), Smit, B. de (Universiteit Leiden) E-mail J.Top@math.rug.nl desmit@math.leidenuniv.nl Description The course provides a thorough introduction to algebraic number theory. It treats the arithmetic of the number rings that occur in (algorithmic) practice. Topics: Introduction to algebraic numbers and number rings. Ideal factorization, finiteness results on class groups and units, explicit computation of these invariants. Special topic: the number field sieve. Each week, students have to hand in 4 exercises from the course notes out of those listed on the website of this course. Solving the more difficult problems will result in a higher grade. The final problem set of the course will be more substantial. Organization Mondays from September 11 - December 18, 2006, 10:15 - 13:00. 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 last problem set will be more substantial and determine one third of the final grade. Literature We will use the course notes and homework exercises Prerequisites Undergraduate algebra, i.e., the basic properties of groups, rings and fields. This material is covered in first and second year algebra courses in the bachelor program of most universities. The course notes

105. INTRODUCTORY ALGEBRAIC NUMBER THEORY File Format PDF/Adobe Acrobat http://bilder.buecher.de/zusatz/20/20986/20986028_lese_1.pdf

106. Algebraic Number Theory Algebraic Number Theory This is a corrected printing of the second edition of Lang's well-known textbook. It covers all of the basic material of classical algebraic number http://www.springer.com/mathematics/numbers/book/978-0-387-94225-4

Basket USA Change New User Login Home ... My Springer Manage your Account Change Email or Postal Address Change Password Password Lost? Manage your Alerts Change alert profile Unsubscribe Article Tracking Online Book Review Copies ... Subjects Choose a discipline: Astronomy Biomedical Sciences Chemistry Computer Science ... Services Find all our services for you Authors Booksellers Book Reviews Librarians ... Subscription Agencies We are happy to help you! Manage your Account Online Exam Copies Order process Our Email Services SpringerAlerts Overview SpringerAlerts for Journals SpringerAlerts for Book Series SpringerAlerts for Books ... SpringerAlerts for Booksellers More about: Spektrum Akademischer Verlag Birkhäuser T.M.C. Asser Press Publishers and Imprints with external Websites Apress BioMed Central Codes Rousseau Etrasa ... About us Company Information Mission Statement Management Annual Reports Key Facts ... Locations Worldwide What we do Publishing Fields Springer and Open Access Springer in China Developing Countries Initiative Press Press Releases Springer Select Media Kit and Downloads Career All Job Vacancies Trainee-Programs / Editorial Trainees Internships Vocational Training There are no results matching your search terms.

107. Magma Computational Algebra System Home Page A Computational Algebra system for algebra, number theory and geometry. http://magma.maths.usyd.edu.au/

MAGMA Computational Algebra System Home Download Help FAQ ... About Magma How to get Magma Download Online Demo Resources Online Help Discovering Mathematics with Magma Citations How to cite Magma ... Contact us Magma is a large, well-supported software package designed to solve computationally hard problems in algebra, number theory, geometry and combinatorics. It provides a mathematically rigorous environment for computing with algebraic, number-theoretic, combinatoric, and geometric objects. Latest version: (released October 6, 2010) is now available. See here for a summary of the new features in V2.16. Recent Notices: March 18, 2010: Magma V2.16-6 has been released for Windows. November 12, 2009: Magma V2.16-1 has been released for 64-bit Intel/AMD Linux platforms. November 8, 2009: The list of publications that cite Magma has been greatly expanded, now totalling around 2600 items. The updated list may be found here December 19, 2008: The 2008 edition of Magma (Version 2.15) was released in early December and is now available for most supported platforms. It contains many new capabilities as well as major upgrades of algorithms and code for several core areas. See LINK for a summary of the new features.

108. QUANTUM ALGORITHMS IN ALGEBRAIC NUMBER THEORY 1. Introduction Two File Format PDF/Adobe Acrobat Quick View http://www.albanyconsort.com/simon/quantumnt.pdf

109. Mastermath Credits 8 credit points Instructors Lenstra, H.W. (Universiteit Leiden), Stevenhagen, P. (Universiteit Leiden) Email HWL@MATH.leidenuniv.nl, psh@math.leidenuniv.nl http://www.mastermath.nl/program/00007/00007/

About Mastermath Links Locations Contact ... Spring 2011 Algebraic Number Theory Credits 8 credit points Instructors Lenstra, H.W. (Universiteit Leiden), Stevenhagen, P. (Universiteit Leiden) E-mail HWL@MATH.leidenuniv.nl psh@math.leidenuniv.nl Aim The course provides a thorough introduction to algebraic number theory. It treats the basic laws of arithmetic that are valid in subrings of algebraic number fields. Description Introduction to algebraic numbers and number rings. Ideal factorization, finiteness results on class groups and units, explicit computation of these invariants. Possible special topics: binary quadratic forms, the number field sieve, valuations and completions, local fields, introduction to class field theory and reciprocity laws, density theorems. http://websites.math.leidenuniv.nl/ant2008/ Organization The class is taught every Tuesday morning at the Vrije Universiteit in Amsterdam: two hours (10.15-12.00) of lectures and one hour (12.15-13.00) devoted to exercises. Examination The final grade is exclusively based on the results obtained for the weekly homework assignments. Literature http://websites.math.leidenuniv.nl/algebra/

110. MathTools V2.4.2 Mathematical routines by Bhuvanesh Bhatt for the TI-89/92+/V200 in Algebra, Number Theory, Statistics and applications. http://www.technicalc.org/packages/mathtools/main.htm

MathTools Math routines for the TI-89/92+/V200 Linear Algebra, Polynomials, Calculus, Statistics, Special Functions, Vector Analysis, and more Version: 2.4.2 Author: Bhuvanesh Bhatt ( bbhatt1@towson.edu Introduction A Computer Algebra System (CAS) is a kind of mathematical software that enables you to use a computer to manipulate mathematical expressions. A CAS has symbolics, numerics, graphics, programming, and typesetting capabilities, and usually also data import/export. CAS’s are used in many fields such as mathematics, physics, chemistry, engineering, computer science, computational biology, economics, and education. The TI-68k devices (TI-89, TI-92 Plus, and Voyage 200) are great tools, especially for education. They are the most advanced calculators available today. Once you have learned a topic such as vector analysis, you can use the TI-68k CAS to automate some or all of your work, so that you can concentrate on more advanced and/or abstract topics without worrying about calculational errors. The TI-68k are also invaluable when learning a topic, since they allow you to explore the topic in a variety of ways. One problem with the TI-68k is that a lot of commonly used functions are not built-in. MathTools aims to bridge that gap, mainly in the area of mathematics. Since math is used in all of science, MathTools can be used in those fields as well. Besides education, MathTools can also be used in industry and research. One of my goals in maintaining MathTools and its extensive documentation is to introduce people to the beauty of mathematics. MathTools has helped me gain a deeper understanding of computer algebra, and has also introduced me to many new areas in math, far better than from any amount of reading. MathTools mainly consists of TI-Basic functions, but there are also TI-Basic programs, utilities written in C, and a Flash application.

111. Algebraic Number Theory And Related Topics 2010 Sep 20, 2010 Algebraic Number Theory and Related Topics 2010. Program Committee Masanari Kida (University of ElectroCommunications ) http://mathweb.e-one.uec.ac.jp/rims2010-e.html

RIMS Workshop Algebraic Number Theory and Related Topics 2010 Program Committee Masanari Kida (University of Electro-Communications ) Noriyuki Suwa (Chuo University) Shinichi Kobayashi (Tohoku University) Japanese Page Date December 6 (Mon), 2010 December 10 (Fri), 2010 Place Room 420, Research Institute for Mathematical Sciences, Kyoto University Program December 6 (Mon) Introduction Anna Cadoret (Univ. Bordeaux 1) Representation over finite fields of etale fundamental groups of curves. (joint work with Akio Tamagawa) Kazuaki Miyatani (University of Tokyo) Finiteness of crystalline cohomology of higher level Manabu Yoshida (Kyushu University) Takashi Suzuki (The University of Chicago) Fontaine's property (Pm) at the maximal ramification break Shin Hattori (Kyushu University) Ramification correspondence of finite flat group schemes of equal and mixed characteristic Ahmed Abbes (CNRS) Ramification and cleanliness Takeshi Saito (University of Tokyo) l-adic Riemann-Roch formula December 7 (Tue) Takashi Hara (University of Tokyo) On Iwasawa main conjecture of totally real fields Tatsuya Ohshita (Kyoto University) On the higher Fitting ideals of Iwasawa modules of class groups over real abelian fields Yoshitaka Sasaki (Kinki University) Poly-Euler numbers and the related L-function Byoung Du Kim (Victoria University of Wellington) Two-variable p-adic L-functions for modular forms at non-ordinary primes Florian Sprung (Brown University) The p-parts of Tate-Shafarevich groups of elliptic curves

112. Topics In Computational Algebraic Number Theory File Format PDF/Adobe Acrobat Quick View http://www.emis.de/journals/JTNB/2004-1/Belabas.pdf

113. Nico Benschop Homepage, Nico Benschop Homepg: Associative Theory Of Digital Circ A compendium of papers by Nico F. Benschop on abstract algebra, number theory, computer science and physics. http://home.claranet.nl/users/benschop/

114. Dirichlet Summary Proved that in any arithmetic progression with first term coprime to the difference there are infinitely many primes, units in algebraic number theory, ideals, proposed the modern definition of a function. http://turnbull.dcs.st-and.ac.uk/~history/Mathematicians/Dirichlet.html

Johann Peter Gustav Lejeune Dirichlet Click the picture above to see five larger pictures Dirichlet proved in 1837 that in any arithmetic progression with first term coprime to the difference there are infinitely many primes. Full MacTutor biography [Version for printing] List of References (16 books/articles) Mathematicians born in the same country Show birthplace location Additional Material in MacTutor A comment from Thomas Hirst's diary Honours awarded to Lejeune Dirichlet (Click below for those honoured in this way) Fellow of the Royal Society Lunar features Crater Dirichlet Other Web sites Encyclopaedia Britannica Mathematical Genealogy Project Previous (Chronologically) Next Main Index Previous (Alphabetically) Next Biographies index JOC/EFR © May 2000 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Dirichlet.html

115. CAH IT ARF S CONTRIBUTION TO ALGEBRAIC NUMBER THEORY AND RELATED File Format PDF/Adobe Acrobat Quick View http://journals.tubitak.gov.tr/math/issues/mat-98-22-1/mat-22-1-1-98034.pdf

116. Pell Summary Worked on algebra and number theory, gave a table of factors of all integers up to 100000 in 1668. Pell s equation is y^2 = ax^2 + 1, where a is a non-square integer. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Pell.html

117. PDF - ALGORITHMS IN ALGEBRAIC NUMBER THEORY Your browser may not have a PDF reader available. Google recommends visiting our text version of this document. http://www.ams.org/bull/1992-26-02/S0273-0979-1992-00284-7/S0273-0979-1992-00284

118. Mathematics Site --- J.S. Milne Includes preprints and course notes on Group Theory, Fields and Galois Theory, Algebraic Geometry, Algebraic Number Theory,Modular Functions and Modular Forms, Elliptic Curves, Abelian Varieties, Etale Cohomology, and Class Field Theory. http://www.jmilne.org/math/

Mathematics Site - J.S. Milne (since 1996) Contents Addenda/Errata Articles listing abstracts Books Course Notes Group Theory Fields and Galois Theory ... Documents Documents by other mathematicians. Apocrypha. Personal stuff: cv, photo, etc. Tips for authors. Misused words. ... Home Do not work within two hours of a substantial meal; blood cannot be in two places at once. J.E. Littlewood, in Littlewood's miscellany, p199. What's New in Articles Nov 11, 2009. New version of Points on Shimura varieties over finite fields: the conjecture of Langlands and Rapoport What's New in Course Notes Sept 9, 2010. Minor revision of Group Theory April 27, 2010. New version of Algebraic Groups, Lie Groups, and their Arithmetic Subgroups November 23, 2009. Minor revision of Modular Functions and Modular Forms What's New in Expository Notes November 18, 2009. Talk: Shimura varieties and the work of Langlands May 30, 2009. Revised version of A Primer of Commutative Algebra April 26, 2009. Revised version of MotivesGrothendieck's Dream What's New in Documents January 23, 2010.

119. Algebraic Number Theory Lecture Notes File Format PDF/Adobe Acrobat Quick View http://math.rice.edu/~hassett/teaching/465spring03/antlec1.pdf

120. Michael Larsen Indiana University. Algebraic number theory; algebraic geometry; group theory (finite, finitely generated, compact, or algebraic); homological algebra; algebraic combinatorics; applied algebra. Teaching notes, Putnam competition information. http://mlarsen.math.indiana.edu/~larsen/

Michael Larsen I am a Professor in the Math Department at Indiana University Contact Department of Mathematics Indiana University Bloomington, IN USA Phone: FAX: Office: E-mail: Office Hours: Rawles Hall 343 WF9:30-10:30, and by appointment. Here is my schedule for Fall 2010. Research I am interested in various aspects of algebra, especially: algebraic number theory algebraic geometry group theory (finite, finitely generated, compact, or algebraic) homological algebra ... applied algebra Here are my papers and preprints . Here they are organized by MSC classification and by coauthor , courtesy of the AMS. Although I prefer chalk, recently I have given a few talks with slides Teaching Math Math Some course information from past years is available here The following is intended as a roadmap for graduate courses which the algebra group expect to offer regularly in the future. The Bloomington Math Circle meets at a time to be determined. Advising My advisor was Gerd Faltings . He is descended in five steps from Felix Klein , in eight steps from Gauss , and in ten steps from Euler . (My thanks to The Mathematics Genealogy Project for the historical information.)

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