Geometry.Net - Pure_And_Applied_Math: Algebraic Number Theory

Math 514: Algebraic Number Theory
Math 515 algebraic number theory. Spring Semester, 2002. This course is an introductionto algebraic number theory and class field theory, continuing Math 515.
http://www.math.uic.edu/~jeremy/math515/
GAP Forum: New Algebraic Number Theory Preprint Server
Mon, 15 Aug 94 090500 +0200 ^ From Joachim Neubueser Joachim.Neubueser@Math.RWTHAachen.DE ^ Subject new algebraic number theory preprint server
http://www-gap.dcs.st-and.ac.uk/~gap/Forum/Neubuese.1/Joachim.1/new_alge.1/1.htm
Mathlinks.info - Number Theory
algebraic number theory Course Notes (J Miline); Algebraic NumberTheory - Lecture Notes (I Fesenko - University of Nottingham);
http://www.mathlinks.info/em027_number_theory.htm

Extractions: Algebra and Number Theory Lecture Notes ( J Hoffman - Louisiana State University) Algebraic Number Theory Course Notes (J Miline) Algebraic Number Theory Lecture Notes (I Fesenko - University of Nottingham) Computational Number Theory Tutorial (R Campbell - University of Maryland, Baltimore County) Elementary and Analytic Number Theory Course Notes (W Chen - Imperial College, University of London) Elementary Introduction to Elliptic Curves Reports (L Charlap, D Robbins and R Coley - Center for Communications Research) Elliptic Curve Cryptography Tutorial (Integrity Sciences, Inc.) Elliptic Curves Course Notes (J Miline) Fermat's Last Theorem Article (MacTutor History of Mathematics Archives - University of St. Andrews) Fermat's Last Theorem Article (S Singh - Prometheus) Fermat's Last Theorem Tutorial (University of Bath) Introduction to Analytic Number Theory Lecture Notes (N Elkies - Harvard University) Introduction to Number Theory Lecture Notes (I Fesenko - University of Nottingham) Introduction to Number Theory Tutorial (X Jia - Southwest Texas State University) Ken Ribet's Modular Forms Course Course Notes (W Stein - Harvard University) Mathematics of Fermat's Last Theorem Tutorial (C Daney) Modular Functions and Modular Forms Course Notes (J Miline) Topics in Number Theory Course Notes (D Wilkins - Trinity College) Acta Arithmetica INTEGERS: The Electronic Journal of Combinatorial Number Theory Journal of Number Theory The Ramanujan Journal Other Resources
NUMBER THEORY FTP SITES/CALCULATOR PROGRAMS/ARCHIVES
archives. algebraic number theory Archives; apfloat A C++ High PerformanceArbitrary Precision Arithmetic Package by Mikko Tommila;
http://www.maths.uq.edu.au/~krm/N1.html

Extractions: The CAGE project CALC (Keith Matthews' number theory calculator) Number theory programs for Casio Graphic Calculators (Roy MacLean) Class polynomials of CM fields (Annegret Weng) CPG , a class polynomial generator (Marcel Martin) CLINT (Hugh Montgomery's Computational Laboratories in Number Theory Computations on curves of genus2 and their jacobians (Paul Van Wamelen) Congruence Zeta Function Calculator (Hiroyuki Ogawa) Critical Strip Explorer 0.6
MA4A6 Algebraic Number Theory (Reading Module)
MA4A6, Terms 12. algebraic number theory (Reading Module), 18 CATS. StatusList C. Audience The module is intended mainly for year four students.
http://www.maths.warwick.ac.uk/pydc/mauve/mauve-MA4A6.html

Extractions: Terms 1-2 Algebraic Number Theory (Reading Module) 18 CATS Status List C Audience: The module is intended mainly for year four students. Prerequisites: There is no formal prerequisite, but the student should have some algebraic sophistication. Janusz uses some elementary terms from Galois theory which need a little explanation, and a handout will be provided, but Galois theory is not a prerequisite. The exam will be structured so students who have not taken Commutative Rings will not be at a disadvantage. Content: This reading module discusses factorizations of primes in number rings. First one learns about how it is possible for a prime number to factorize in a quadratic extension. (This is well-explained in a second year essay written for me last year by John Hudson and makes a good starting point). You then might notice that the question of whether a prime number p remains prime in the Gaussian integers Z i ] depends on the congruence class of p modulo 4. For instance, 3 remains prime whereas 5 = (2-
PMA6160 Topics In Algebraic Number Theory
PMA6160 Topics in algebraic number theory. This is a graduate course givenas part of the RTP in Sheffield. The course is an introduction
http://www.shef.ac.uk/~pm1afj/courses/pma6160/

Extractions: This is a graduate course given as part of the RTP in Sheffield. The course is an introduction to modular forms, along the lines of a previous course I gave in Oxford, but expanded to 24 lectures. The first part of the course will cover the arithmetic theory of modular forms, as given in the books of Shimura and Miyake. After this, I will discuss elliptic curves and functions, and explain how to regard modular forms as sections of sheaves on moduli spaces of elliptic curves. In the remainder of the course, I will consider adeles and automorphic representations and finally give a brief lecture on Galois representations associated to modular forms. The notes for the course are available here. Here is example sheet 1 , containing some elementary calculations with some congruence subgroups; the solutions are here. example sheet 2 is much more classical in nature, and contains a proof of the Ramanujan congruences; here are the solutions . Finally, example sheet 3 contains some questions on elliptic curves and the arithmetic-geometric mean. The solutions are here.
NoMaDS
North of England algebraic number theory Group, based at Durham, Nottingham, Sheffield and UMIST .Category Science Math Number Theory Eventslink to NoMaDS past programmes. North of England algebraic number theory Group.This is the home page for the North of England algebraic number theory Group.
http://www.shef.ac.uk/~pm1afj/lms/

Extractions: North of England Algebraic Number Theory Group This is the home page for the North of England Algebraic Number Theory Group. This group is based at Durham, Nottingham, Sheffield and UMIST, and we are grateful to the London Mathematical Society . for financially supporting the group by means of a Scheme 3 grant. This grant has recently been renewed for 2002-03, and pays for travel expenses for NoMaDS members, as well as other visitors (if sufficient funds are available). Although our official title is the one given above, we informally refer to ourselves as NoMaDS (an abbreviation of No ttingham, Ma nchester, D urham and S heffield, the host cities), as suggested by John Cremona. The seventh meeting took place at Durham , on May 4th 2002. The eighth meeting will take place in Sheffield on Saturday September 28th 2002. The speakers will be the following: The eighth meeting will take place on Saturday September 28th in Sheffield. Here is the provisional programme: coffee/tea
Papers By AMS Subject Classification
No papers on this subject. 11RXX algebraic number theory global fields For complexmultiplication, see 11G15 / 11XX Number theory / Classification root.
http://im.bas-net.by/mathlib/en/ams.phtml?parent=11RXX
ALGEBRAIC GEOMETRY AND ALGEBRAIC NUMBER THEORY
3 ALGEBRAIC GEOMETRY AND algebraic number theory Proceedings of the Special Programat Nankai Institute of Mathematics Tianjin, China September 1989 June
http://www.wspc.com.sg/books/mathematics/1640.html

Extractions: Contents: On the Slope of Non-Hyperelliptic Fibrations of Genus 4 (Z-J Chen) On the Rank and the BSD Conjecture of Elliptic Curves E D y x D (K-Q Feng) An Introduction to Arthur's Invariant Trace Formula (K F Lai) Hecke Operators, Hirzebruch Sums and Pellian Equation Conjecture (H-W Lu) Ramification Divisor of Regular Schemes (Z-H Luo) A Note on Representations of Integers by Ternary Quadratic Forms (D-Y Pei) A Summarized Account for the Representation Theory of Quantum Linear Groups (J-P Wang) Representations of Finite Dimensional Hopf Algebras Arising from Quantum Groups, II (N-H Xi)
Math 688R. Topics In Algebraic Number Theory
Math 688R. Topics in algebraic number theory terms offered, credit hours, prerequisites,and course description. Math 688R. Topics in algebraic number theory.
http://www.math.byu.edu/Programs/688.html
Algebraic Number Theory And Diophantine Analysis, Graz, Österreich, 30.8. - 5.9.
algebraic number theory and Diophantine Analysis, Graz, Österreich, 30.8. AlgebraicNumber Theory and Diophantine Analysis, Graz, Österreich, 30.8. 5.9.98.
http://www.gwdg.de/~cais/oldkonfhinw/node13.html

Extractions: Representation Theory of Algebras, Alte Konferenzen - Old Vorherige Seite: ICM98 - International Conference This international conference is organized by The topics of the conference include algebraic number theory, diophantine equations, transcendence, uniform distribution as well as computational and analytic aspects. There will be one hour survey lectures as well as 20 minutes contributed talks (open for everybody) and a special session on diophantine equations. The following mathematicians have already agreed to attend the conference: Graz is the capital of Styria, a southern province of Austria. The meeting will take place at the University and the Technical University, which are both in walking distance from the city center. Graz can be reached either by train or by plane. There are flights from Vienna, Zurich and Frankfurt. There will be a possibility for moderately priced housing in a dormitory. Of course, it is possible to choose any hotel in Graz via the tourist office. The conference fee is approximately 1000 ATS (ca. 150DM, ca. 90US$ , ca. 450FF). In special cases a reduction of the conference fee may be possible. For more details we refer to the second announcement in approximately one year. Everybody interested in the second announcement should contact the e-mail address: nt98@weyl.math.tu-graz.ac.at
MATH272 - Algebraic Number Theory
Year 2000/2001 algebraic number theory MATH 272 FA. This is a coursein the elements of the theory of numbers. Topics covered include
http://www.wesleyan.edu/wesmaps/course0001/math272f.htm

Extractions: MATH 272 FA This is a course in the elements of the theory of numbers. Topics covered include dividibility, congruences, quadratic residues, Diophantine equations and a brief introduction to algebraic numbers. Major readings not known Weekly problem sets. Take-home midterm and final. Familiarity with computers useful but not required. COURSE FORMAT: Lecture Level: UGRD Credit: Gen Ed Area Dept: NSM MATH Grading Mode: Graded Prerequisites: Links to Web Resources For This Course. Last Updated on MAR-26-2001
MATH509: Algebraic Number Theory - CUA
MATH509 algebraic number theory. The study of number theory usingalgebraic techniques. Topics include extension fields of rational
http://home.cua.edu/courselist/course.cfm?DEPT=MATH&COURSENUM=509
Unit Description: Alg. Num. Thy.
algebraic number theory (MATH 31110). Unit number and title MATH 31110 AlgebraicNumber Theory; Level 3; Credit point value 10 credit points;
http://www.maths.bris.ac.uk/~madhg/unitinfo/current/l3_units/algnumth.htm

Extractions: Texts and Syllabus Unit number and title: MATH 31110 Algebraic Number Theory Level: Credit point value: 10 credit points Year: First Given: 1996/7 (but this unit is approximately the first half of a longer course which was given for many years previously). Lecturer/organiser: Dr. A. W. Chatters (Room 3.9, Tel. 928 7976, email arthur.chatters@bris.ac.uk Semester: 2 (weeks 13-18) Timetable: Tuesday 11.10am, Wednesday 12.10pm, Thursday 9.00am Prerequisites: Level 1 Pure Mathematics or Number Theory and Group Theory The course will give a brief introduction to some ways in which results from algebra can be used to solve problems in number theory. The central object of study will be the ring of integers of a quadratic number field. In this setting there will be a great emphasis on determining when unique factorisation holds or fails. Methods will be developed for solving various special types of Diophantine equation, culminating with a proof of Fermat's Last Theorem for cubes.
Algebra, Number Theory And Cryptography Research Group, Univ. Of Calgary
11Axx, 11D09, 11Rxx. Elementary number theory; Quadratic and bilinear Diophantineequations; algebraic number theory global fields. Number Theory.
http://www.math.ucalgary.ca/~cunning/algebra.html

Extractions: Research at the Department of Mathematics Research category Researcher AMS subject classification Research topics Number theory Richard Guy Elementary prime number theory, factorization; Special numbers, sequences and polynomials (e.g. Bernoulli). Number theory Richard Mollin Elementary number theory; Quadratic and bilinear Diophantine equations; Algebraic number theory: global fields. Number Theory Clifton Cunningham Representation-theoretic methods - automorphic representations over local and global fields. Number Theory Renate Scheidler Arithmetic theory of algebraic function fields; Algebraic number theory computations; Algebraic coding theory. Number Theory Richard Guy Diophantine equations; Binomial coefficients; factorials; $q$-identities; Evaluation of constants; Fibonacci and Lucas numbers and polynomials and generalizations; Arithmetic functions; related numbers; inversion formulas; Representation problems; Primes in progressions Number theory Hugh Williams Computational number theory; Elementary number theory; Diophantine equations.
Number Theory
Math 254 Introduction to algebraic number theory. Instructor Chad Schoen.Prerequisites Text Neukirch, J.; algebraic number theory. Topics
http://www.math.duke.edu/graduate/courses/spring00/math254.html

Extractions: Instructor: Chad Schoen Math 251 or strong performance in Math 200 or the equivalent. Students will be expected to enter the course with a working knowledge of the following basic notions in algebra: Groups, actions of groups on a set, commutative rings, ideals, modules over commutative rings, principal ideal domains, unique factorization domains, the classification of finitely generated modules over principal ideal domains, field extensions, the structure of finite fields, basic Galois theory. The course should be helpful to graduate students considering working in algebra, algebraic geometry or another area of mathematics which interacts with number theory. It should be of interest to advanced undergraduates who have fulfilled the prerequisites and who are interested in learning more about algebraic number theory. Neukirch, J.; Algebraic Number Theory Quadratic equations in two variables, Number fields and function fields, orders in number fields and algebraic curves over finite fields, affine schemes, integral closure and desingularization, Dedekind domains, the class group, applications to binary quadratic forms and diophantine equations, decomposition of primes in extension fields, valuation theory, ramification theory, the geometry of numbers, finiteness of the class group and Dirichlet's unit theorem, extensions of global fields with fixed ramification, bounds on discriminants.
Esmonde, Jody; Murty, M. R. - Problems In Algebraic Number Theory - Buecher Onli
algebraic number theory - Rezensionenund die Moeglichkeit zum Onlinekauf dieses Buches finden Sie hier.
http://www.buch-shop-versand.de/Esmonde_Jody_Murty_M_R_Problems_in_Algebraic_Num
Atlas: Frobenius Groups: It's All Algebraic Number Theory By Ron Brown
Conference Homepage. Frobenius groups it's all algebraic number theorypresented by Ron Brown University of Hawaii Frobenius groups
http://atlas-conferences.com/c/a/c/v/07.htm

Extractions: University of Hawaii Frobenius groups play a prominent role in the general theory of finite groups. After reviewing definitions we show that the problem of finding all Frobenius groups with abelian Frobenius kernel is a problem in algebraic number theory. We illustrate this with a very elementary construction of all Frobenius groups whose Frobenius complement is either the quaternion group or the special linear group SL(2,Z/5Z) and with some combinatorial results (e.g., a count of the metabelian Frobenius groups of order at most one million). The key idea is that Frobenius groups with abelian kernel correspond precisely to finite modules over certain well-behaved classical maximal orders, and the indecomposable modules correspond to powers of maximal ideals of the associated Dedekind domain. Connections with Amitsur's calculation of the finite groups which are subgroups of division rings will be mentionned.
UR Math: Algebra And Number Theory Group
algebraic number theory, modular forms, padic modular forms.
http://www.math.rochester.edu/research/algebra_and_number_theory/

Extractions: This site will look much better in a browser that supports web standards , but it is accessible to any browser or Internet device. Full sitemap Search Steve Gonek gonek @math.rochester.edu The Riemann zeta function, L functions, and the distribution of prime numbers. Naomi Jochnowitz what @math.rochester.edu Algebraic number theory, modular forms, p-adic modular forms Saul Lubkin lubkin @math.rochester.edu Algebraic geometry, homological algebra; Construction of algebraic-topological like invariants in algebraic geometry. Sanford Segal ssgl @math.rochester.edu Analytic and elementary number theory; complex analysis; history of Mathematics. Arnold Pizer apizer @math.rochester.edu Arithmetic of quaternion algebras and its connections to modular forms, Brandt matrices, Hecke operators, and Ramanujan graphs. Suzanne Caulk suzcaulk @math.rochester.edu Hilbert-Seigel modular forms Mike Knapp mknapp @math.rochester.edu
Meetings At Oberwolfach 2001
20.01.2001 Combinatorial Convexity and algebraic Geometry. 21.01. 23.06.2001 Two Hundred Years of number theory after CarlFriedrich Gauß's Disquisitiones Arithmeticae
http://www.mfo.de/Meetings/Meeting_Program_2001.html

Extractions: Mathematisches Forschungsinstitut Oberwolfach / Meeting Programs Participants of the meetings at Oberwolfach are invited personally by the director of the institute. The participation is subject to such an invitation. Interested researchers, in particular young mathematicians, can contact the administration of the institute. Since the number of participants is restricted not all enquiries can be considered. Meetings at Oberwolfach 2002

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