1. Home Page Of Robert B. Ash University of Illinois. Downloadable texts in Abstract Algebra, algebraic number theory, Commutative Algebra (PDF). http://www.math.uiuc.edu/~r-ash/

Robert B. Ash Professor Emeritus, Mathematics Dept. of Mathematics University of Illinois 1409 W Green St. Urbana, IL 61801 email r-ash [at] math [dot] uiuc [dot] edu Remarks on Expository Writing in Mathematics Click to read/download Remarks in pdf format Books On Line Abstract Algebra: The Basic Graduate Year This is a student-oriented text covering the standard first year graduate course in algebra. Solutions to all problems are included and some of the reasoning is informal. A Course In Algebraic Number Theory An introduction to the subject, covering both global and local fields. The prerequisite is a standard graduate course in algebra. A Course In Commutative Algebra Commutative algebra is the theoretical foundation of algebraic geometry and algebraic number theory. Assuming as prerequisite a standard graduate algebra course, we attempt to reach an advanced level quickly and efficiently. Complex Variables Co-authored by W.P. Novinger (retired), Florida State University. This is a student-oriented text covering the standard first year graduate course in complex variables. Solutions to all problems are included.

2. Algebraic Number Theory Course notes by Robin Chapman, University of Exeter, May 2000. http://www.maths.ex.ac.uk/~rjc/courses/ant99/ant99.html

MAS4002: Algebraic Number Theory This is the home page for the Algebraic Number Theory course. At present it is still under construction. Eventually it will contain copies of course handouts, commentaries on some of my more challenging problems, and useful links. Most files are in dvi format. The course will be closely based on the following book: Ian Stewart and David Tall, Algebraic Number Theory , Chapman and Hall. Alas the paperback is out of print (and the hardback is overpriced) but the following alternative is very cheap (but a bit old-fashioned): Harry Pollard and Harold G. Diamond, The Theory of Algebraic Numbers , Dover. Course information Background on rings and ideals 1998 exam Problem sheet 1 ... Almost complete summary of notes to course (version 5, recently corrected!) Robin Chapman Room 811, Laver Building University of Exeter Exeter, EX4 4QE, UK rjc@maths.ex.ac.uk 2nd May 2000 Back to teaching page Back to home page

3. Algebraic Number Theory Archive Large linked preprint archives for papers in algebraic number theory and Arithmetic Geometry up to the end of 2002. http://front.math.ucdavis.edu/ANT/

Algebraic Number Theory Archive Welcome to the (new) Algebraic Number Theory Archive, founded by Nigel Boston and Dan Grayson and currently maintained by Michael Zieve. This archive is for research in algebraic number theory and arithmetic geometry. It is being converted to an overlay for the mathematics arXiv Instructions for authors: Please contribute new submissions to the NT (Number Theory) category of the math arXiv following these submission instructions . Submissions in algebraic number theory will automatically appear here within a few days. Please write to the ANT e-mail address if your arXiv article has been overlooked. Members of the mailing list receive announcements of new e-prints. To subscribe (or unsubscribe), please write to the ANT e-mail address. Some TeX fonts in compressed tar format, including the lams* and xy* fonts, which are needed for some of the e-prints. ANT e-mail address: Papers math.NT/0412357 : 18 Dec 2004, Compatibility of local and global Langlands correspondences , by Richard Taylor and Teruyoshi Yoshida. math.AG/0412294

4. Courses Course Notes by Ivan Fesenko, University of Nottingham. PS, PDF. http://www.maths.nott.ac.uk/personal/ibf/courses.html

Lecture Notes of Courses (.ps and .pdf files) Introduction to number theory - ps file (495K) Introduction to number theory - pdf file (242K) This is a first course in number theory. It includes p-adic numbers. Commutative algebra - ps file (381K) Commutative algebra - pdf file (202K) This course is an introduction to modules over rings, Noetherian modules, unique factorization domains and polynomial rings over them, modules over principal ideal domains, localization. Introduction to algebraic number theory - ps file (432K) Introduction to algebraic number theory - pdf file (193K) This course (36 hours) is a relatively elementary course which requires minimal prerequisites from Commutative Algebra (see above) for its understanding. Integrality over rings, algebraic extensions of fields, field isomorphisms, norms and traces are discussed in the second part. Dedekind rings, factorization in Dedekind rings, norms of ideals, splitting of prime ideals in field extensions, finiteness of the ideal class group and Dirichlet's theorem on units are treated in the second part. Homological algebra - ps file (479K) Homological algebra - pdf file (228K) This is a very short introduction to homological algebra This course (25 hours) presents categories, functors, chain complexes, homologies, free, projective and injective obejcts in the category of modules over a ring, projective and injective resolutions, derived functors, Tor and Ext, cohomologies of modules over a finite group, restriction and corestriction.

5. Explicit Algebraic Number Theory Lorentz Center, Leiden, the Netherlands; 23 September 2 October 2002. http://www.math.leidenuniv.nl/~psh/EANT/

September 23 - October 2, 2002 Lorentz Center , Leiden Instructional part (`Stieltjesweek'): September 23 - 26 Organizers: H.W. Lenstra P. Stevenhagen NWO-OTKA workshop: September 27 - Oct 2 Organizers: P. Stevenhagen R. Tijdeman Subject The title Explicit algebraic number theory is borrowed from the series of Oberwolfach meetings on Explicit methods in number theory . Those meetings are characterized by a lively interaction between abstract and advanced arithmetic theories on the one hand and concrete and elementary questions on the other. The spirit of the present workshop, which consists of 4 instructional days and 4 days of talks by (invited) participants, is similar, but within the smaller compass of algebraic number theory. Instructional part The instructional part emphasizes problems that are inspired by questions from other areas of mathematics, including elementary and algorithmic number theory, arithmetic algebraic geometry, and computer algebra. The advanced techniques from algebraic number theory that apply to these problems include class field theory, infinite Galois theory, and the theory of quadratic forms. The purpose of this part is to impart a working knowledge of these theories to the participants, to provide ample illustrations of their use, and to formulate several open problems that may be approachable by means of the same techniques. Prerequisites : basic algebra, number theory, and point set topology, including Galois theory, algebraic number theory and a knowledge of p-adic numbers.

6. Home Page J. S. Milne. Includes preprints and course notes on Group Theory, Fields and Galois Theory, Algebraic Geometry, algebraic number theory,Modular Functions and Modular http://www.jmilne.org/math/

7. MP473 2000 A course by Keith Matthews. Lecture notes (GIF slides), bibliography, web resources. http://www.numbertheory.org/courses/MP473/

MP473 Number Theory IIIH/IVH, Semester 2, 2000 Prepared by Keith Matthews Email: krm@internode.on.net Web: http://www.numbertheory.org/ntw/ Lecture notes Problem sheets Past exams ... Some informative number theory sites Study Suggestions Students are encouraged in tutorials to raise any difficulties encountered with the problem sheets and lecture material. Students should try to keep up to date with study of their lectures, so as to be able to understand subsequent lectures. They are also urged to do as many problems as possible. By doing problems, students will soon discover their strong and weak points. The lecture notes will contain enough explanations and examples to make the definitions, theorems and arguments clear. However some students will need further examples and explanations of certain points and I recommend they peruse books from the reading list below. Most of these books have lots of examples and develop the concepts in greater detail than we have time for in our short course of lectures. Course Outline The course is an introduction to algebraic number theory, especially quadratic and cyclotomic fields.

8. Lecture Notes Of Advanced Courses Lecture notes by ChingLi Chai, University of Pennsylvania. http://www.math.upenn.edu/~chai/coursenotes.html

Lecture Notes of Advanced Courses Notes from some of my graduate courses, courtesy of Jeff Achter Algebraic Number Theory, Part I (Math 620, fall 1993) dvi file (.dvi format) or postscript file (.ps format) Algebraic Number Theory, Part II (Math 620, spring 1994) dvi file (.dvi format) or postscript file (.ps format) Introduction to Automorphic L -functions (Math 620, spring 1997) dvi file (.dvi format)

9. Algebraic Number Theory Archives Electronic preprint archives for mathematics research papers in algebraic number theory and arithmetic geometry. http://www.math.uiuc.edu/Algebraic-Number-Theory/

Algebraic Number Theory Archives Date: Wed, 8 Jan 2003 12:03:33 -0600 (CST) To: Algebraic-Number-Theory@listserv.uiuc.edu Subject: Algebraic-Number-Theory preprint archives I shall no longer be managing the Algebraic Number Theory preprint archives. The web site is now frozen and is not accepting new submissions and subscriptions. Michael Zieve has kindly agreed to assume control, with the help of Greg Kuperberg, and new submissions should be directed to the new URL for the archive, http://front.math.ucdavis.edu/ANT/ Your subscription will continue, unless you choose otherwise. I thank Dan Grayson for setting up the archives and his patient help with technical issues, and Michael and Greg for volunteering to take on this work. Nigel Boston http://www.math.wisc.edu/~boston/ Welcome to the preprint archives for papers in Algebraic Number Theory and Arithmetic Geometry. Use the Find facility of your browser on this page, or search: Our mirror site in the United Kingdom , set up by Richard Pinch. Our main 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. 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.

10. Algebraic Number Theory Archives Electronic preprint archives for mathematics research papers in algebraic number theory and arithmetic geometry. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

11. 4th Midwest Algebraic Number Theory Day University of Illinois, UrbanaChampaign; 29 March 1997. http://www.math.uiuc.edu/~boston/mantd.html

4th Midwest Algebraic Number Theory Day University of Illinois, Urbana-Champaign, Saturday, March 29 boston@math.uiuc.edu web: http://www.math.uiuc.edu/~boston/ The meeting will be held in 314 Altgeld Hall. From I-74, take the Lincoln Avenue exit. Go south for a 1.7 miles, until you reach Green Street. Go west on Green St. for 0.7 miles to 5th Street. Go south one block and then east on John. There is a free parking garage on your right at the end of the block. Altgeld Hall is the historic building with a bell tower at the end of John St., one block to the east. It's easiest to enter the building by its north face, going past the Alma Mater statue, then up to the top of the stairs to find Room 314 and the refreshment lounge. There will be signs!

12. K-theory Preprint Archives Electronic preprint archives for mathematics research papers in Ktheory. Includes some papers in algebraic number theory. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

13. Mathematics Staff Homepage UMIST. algebraic number theory, Galois module structure. http://www.ma.umist.ac.uk/mjt/

Martin Taylor Professor in Pure Mathematics EPSRC Senior Research Fellow Royal Society Wolfson Research Fellow Qualifications: M.A. (Oxford), Ph.D (London). Room No. O15 Administrative duties: Member of EPSRC College, Chairman of Royal Society Scientific Unions Committee Research: Galois, Hermitian and quadratic structure for arithmetic varieties. Publications List CV Other activities: Flyfishing, Hill walking. Professor M J Taylor FRS Mathematics Department, UMIST P.O. Box 88 Manchester M60 1QD UK use + 44 161 200 3640 from overseas Fax: Email: Martin.Taylor@umist.ac.uk

14. Algebraic Number Theory MAS4002 algebraic number theory. This is the home page for the algebraic number theory course. At present it is still under construction. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

15. Elementary And Algebraic Number Theory Introduction to algebraic number theory ps file (432K) Introduction to algebraic number theory - pdf file (193K) http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

16. Algebraic Number Theory Archive Large linked preprint archives for papers in algebraic number theory and Arithmetic Geometry up to the end of 2002. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

17. Mathematics Archives - Topics In Mathematics - Number Theory KANT ADD. KEYWORDS Number theory, computer algebra system, algebraic number fields, software Largest Known Primes ADD. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

18. 11-xx and $L$functions analytic theory 11Nxx Multiplicative number theory 11Pxx Additive number theory; partitions 11Rxx algebraic number theory http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

19. 11 Number Theory algebraic number theory Preprint server (Illinois) Here are the AMS and G ttingen resource pages for area 11. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

20. 11: Number Theory algebraic number theory extends the concept of number to mean an element of some Local analysis usually arises as a part of algebraic number theory. http://www.math.niu.edu/~rusin/known-math/index/11-XX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 11: Number theory Introduction Number theory is one of the oldest branches of pure mathematics, and one of the largest. Of course, it concerns questions about numbers, usually meaning whole numbers or rational numbers (fractions). Elementary number theory involves divisibility among integers the division "algorithm", the Euclidean algorithm (and thus the existence of greatest common divisors), elementary properties of primes (the unique factorization theorem, the infinitude of primes), congruences (and the structure of the sets Z /n Z as commutative rings), including Fermat's little theorem and Euler's theorem extending it. But the term "elementary" is usually used in this setting only to mean that no advanced tools from other areas are used not The remaining parts of number theory are more or less closely allied with other branches of mathematics, and typically use tools from those areas. For example, many questions in number theory may be posed as Diophantine equations equations to be solved in integers without much preparation. Catalan's conjecture are 8 and 9 the only consecutive powers? asks for the solution to

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