101. Pietro Cornacchia's Home Page University of Pisa. algebraic number theory ideal class groups for cyclotomic fields, and Ktheory of the rings of integers of an abelian number field. http://www.dm.unipi.it/pages/cornac/public_html/cornacchia.html

I am a graduate student in Mathematics at University of Pisa. I like traveling, the mountains and riding my motorbike. My field of interest is Algebraic Number Theory. In particular, I am interested in the structure of the ideal class groups for cyclotomic fields, and the K-theory of the rings of integers of an abelian number field. Some interesting mathematical links: AMS Cyclotomic fields VSG Algebraic Number theory archives K-theory archives ... UMI Other links: Altavista (search engine) Italian newspapers Meteo Works: The parity of the class number of the cyclotomic fields of prime conductor Proceedings of the AMS, (1997) n. 11, 3163-3168. Anderson's module for cyclotomic fields of prime conductor, Journal of Number Theory. Fitting ideals of class groups in a p extension, submitted. The 2-ideal class groups of Q submitted. Fitting ideals of class groups of real fields , with Cornelius Greither, submitted. Fitting ideals for e'tale and algebraic K-gropus of number rings , with Paul Arne Ostvaer, in preparation. If you want to contact me, feel free to drop me a

102. Algebraic Number Theory: New & Used Books Category Search Result For Algebraic N algebraic number theory New Used Books Category Search Result for algebraic number theory. Compare new and used books prices among 122 book stores in a http://www.fetchbook.info/fwd_topics/id_1559340.html

Bookmark Recommend Us Enhance Your Site Browse Books ... Forums New! Help Keyword Title Author ISBN Welcome Guest [Sign In] Searched in books for Algebraic Number Theory More than titles matched your search. Search took seconds. All Categories Mathematics Algebra General Algebraic Number Theory Add Review Abstract Algebra, 3rd Edition By David Dummit Richard M. Foote Hardcover List Price $132.10 / Similar to Abstract Algebra Compare Prices Add To Wish List Details ... Add Review Skew Fields: Theory of General Division Rings (Illustrated) By P.M. Cohn Hardcover / 500 Pages / Cambridge Univ Pr / October 1995 / 0521432170 List Price $130.00 / Similar to Skew Fields: Theory of General... Compare Prices Add To Wish List Details ... Add Review Algebraic Graph Theory, 2nd Edition By Norman Biggs Paperback / 205 Pages / Cambridge Univ Pr / July 1994 / 0521458978 List Price $36.99 / Similar to Algebraic Graph Theory Compare Prices Add To Wish List Details ... Add Review Algebra to Go: A Mathematics Handbook By Great Source Ed. Group Staff

103. Home Page Of Clemens Adelmann Technical University Braunschweig. algebraic number theory, elliptic curves, zeta and L-functions. Publication and lectures. http://www.algebra.tu-bs.de/adelmann/index_en.html

German Home pages: TU Braunschweig Department 1 Mathematics Applied Algebra Technical University Braunschweig Department Applied Algebra Pockelsstr. 14, D-38106 Braunschweig, Germany Tel. +49-531-391-7537 Fax +49-531-391-7510 Dr. Clemens Adelmann Contact Tel.: +49-531 391-7506 E-Mail: C.Adelmann@tu-bs.de Teaching Lecture: "Die Mathematik von Dedekind und Fricke" (Winter 2002/2003) Lecture: "Algebraische Gleichungen" (Summer 2003) Areas of Interest Algebraic number theory, elliptic curves, zeta- and L-functions. Publications The Decomposition of Primes in Torsion Point Fields, Lecture Notes in Mathematics 1761, Springer, 2001. Errata (PostScript). Last Updated: 6/2/2003 H.Weiss@tu-bs.de

104. Algebraic Number Theory: New & Used Books Search Result For Algebraic Number The algebraic number theory New Used Books Search Result for algebraic number theory. Compare new and used books prices among 122 book stores in a click. http://www.fetchbook.info/Algebraic_Number_Theory.html

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105. Now Publishers algebraic number theory is roughly speaking the study of numbers. One of the first goals of algebraic number theory was to study the solutions of http://www.nowpublishers.com/now/product.aspx?product=CIT&doi=0100000003§ion

106. Gerald J. Janusz University of Illinois at UrbanaChampaign. epresentation theory of finite groups, algebraic number theory, Brauer groups, ring theory, algebraic coding theory. Selected publications, teaching material. http://www.math.uiuc.edu/~janusz/

Gerald J. Janusz Department of Mathematics University of Illinois at Urbana-Champaign 1409 W. Green Street Urbana, Illinois 61801-2975 Office: 375 Altgeld Hall Tel: (734) 944-1120 FAX: (217) 333-9576 e-mail: janusz@math.uiuc.edu General Information Ph.D. University of Oregon, 1965. Area of Specialization Representation theory of finite groups, algebraic number theory, Brauer groups, ring theory, algebraic coding theory. Selected Publications The Schur group of an algebraic number field, Annals of Math., 103(1976), 253-281. Automorphisms of simple algebras and group algebras, Proc. Philadelphia Conference, Dekker Lecture Notes, 37(1976), 381-388. Orthogonal groups of some trace forms, J. Pure and Applied Algebra, 29(1983) 297-312. Introduction to Modern Algebra, 6th Ed. Harcourt/Academic Press, Burlington (2001) (text by N. McCoy, revised by G. Janusz) Permutation groups generated by a transposition and another element, L'Enseignement Math. 38 (1992), 4153. Hereditary Crossed Products, TAMS v.352 (2000) 3381-3410/with J. Haefner Overlap and Covering Polynomials with Applications to Designs and Self-dual Codes , SIAM J. on Discrete Math., v. 13, no.2, (2000)

107. Lim Chong Hai National University of Singapore. algebraic number theory. http://www.math.nus.edu.sg/~matlimch/

Dr Lim Chong Hai, PhD (Univ of California, Berkeley) Office S14 - 01 - 07, Dept of Mathematics Tel 6874 - 3336 Fax 6779 - 5452 Email matlimch@nus.edu.sg Mailing Dept of Mathematics, Nat'l Univ of Singapore Address 2 Science Drive 2, Singapore 117543 Lim Chong Hai Department of Mathematics National University of Singapore Singapore 119260 Republic of Singapore matlimch@math.nus.sg Office : S14 01-7 Faculty of Science (65) 6874-6249 (office) (65) 6779-5452 (fax) Back to the home page of the Department of Mathematics Last Modified: 28 July 2003

108. MA4131 Algebraic Number Theory This module studies the links between algebra and number theory, and begins with the IN Stewart and DO Tall, algebraic number theory, Chapman and Hall. http://www.math.le.ac.uk/TEACHING/MODULES/MA-05-06/MA4131.html

Next: MA4501 Mathematics Project Up: Previous: MA4111 Differential Geometry MA4131 Algebraic Number Theory MA4131 Algebraic Number Theory Credits: Convenor: Dr. N. Snashall Semester: 2 (weeks 13 to 24) Prerequisites: essential: MA3101 desirable: MA2001 or MA2081 MA3151 Assessment: Coursework: 10% Three hour examination: 90% Lectures: Problem Classes: Tutorials: none Private Study: Labs: none Seminars: none Project: none Other: none Surgeries: none Total: Subject Knowledge Aims This module studies the links between algebra and number theory, and begins with the concept of factorisation. Building on the well known fact that every positive integer can be uniquely written as a product of primes, we investigate number systems where the elements also have this unique factorisation property. This is then applied to find the solutions of Diophantine equations. We then investigate number systems which do not have unique factorisation; this naturally leads on to the study of unique factorisation of ideals and Dedekind domains. The module ends by studying other connections between algebra and number theory, such as quadratic residues and their application to congruence equations. Learning Outcomes Students should be able to understand the connections between algebra and number theory through the concept of irreducibility of rings of integers, be able to investigate properties of unique factorisation and solve Diophantine equations, appreciate where unique factorisation of elements does not exist, find unique factorisation of ideals in a Dedekind domain and know that the ring of integers of a number field is a Dedekind domain.

109. 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 Toronto, ON M5S 3G3, Canada 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. Education I got both my BS and MS degrees from the Department of Mathematics at the University of Science and Technology of China , the youngest of the most prestigious universities in China and the proudest of all. You can find some information about my undergraduate study from our class homepage Class 8901 In 1995, I spent a year at Department of Mathematics of the Ohio State University My four years study(1996-2000) at Department of Mathematics of the University of Minnesota ended up with my Ph.D degree in June 2000 under the instruction of Professor Greg William Anderson 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

110. Algorithms And Number Theory Most of the other talks focused on more classical topics of algorithmic algebraic number theory, with half a dozen on various aspects of solving Diophantine http://www.dagstuhl.de/04211/

SCHLOSS DAGSTUHL INTERNATIONAL CONFERENCE AND RESEARCH CENTER FOR COMPUTER SCIENCE Dagstuhl Seminar 04211 Home Page Dagstuhl-Seminars Algorithms and Number Theory J. Buhler (Reed College, US), J. Cremona (Univ. of Nottingham, GB), M.E. Pohst (TU Berlin, DE) Seminar Data Seminar Materials List of participants with talks + materials List of participants with adresses From outside of Dagstuhl this list is only accessible via anonymous login. Use "anonymous" as user id and your e-mail address as password. (Works similar to anonymous ftp.) Seminar Participants Group Picture Seminar Participants Group Picture Summary This seminar on number-theoretical algorithms and their applications was the fifth on this topic at Dagstuhl over a period of more than 10 years. This time we attracted a record number of 54 participants from 14 countries. One of the major goals of these seminars has been to broaden interactions between number theory and other areas. For instance, there has been an effort to bring together people developing the theory of efficient algorithms with people actually writing software. There has also been continuing interest in cryptography, and almost a third of the talks were on algebraic curves, most with an eye to applications in cryptography. Since elliptic curves in cryptography seem to be mainly objects of hardware implementations, nowadays, the focus is on higher genus curves and related more sophisticated mathematical objects. This time we also had a major new topic: algorithmic K-theory which has been rapidly developing over the last few years. Not surprisingly seven talks were given on this subject, several alone on (algorithmic aspects of) logarithmic class groups.

111. R&D: Institut Für Experimentelle Mathematics - Algebraic Number Theory Institute for Experimental Mathematics. Prof. Dr. G. Frey Prof. Dr. H.G. Rück. Institute for Experimental Mathematics/ algebraic number theory http://www.uni-essen.de/fet/fue/eng/fb06/frey.htm

University of Duisburg and Essen / Location Essen Institute for Experimental Mathematics Prof. Dr. G. Frey Institute for Experimental Mathematics/ Algebraic Number Theory Contact: Prof. Dr. G. Frey phone: 0201/183-7657/7656 fax: 0201/183-7669 phone: 0201/183-7655/7655 fax: 0201/183-7669 Research Profile: Algorithmic Number Theory Explicit Galois theory Two-dimensional Galois representations and the Artin conjecture Arithmetic analysis of Artin L-series Geometry of numbers. Arithmetic Geometry Arithmetic of Abelian varieties, in particular elliptic curves over number fields and finite fields Explicit equations for Abelian varieties of small dimension Algebraic coding theory. Links between Data Security and Strucutes of Number Theory Public key cryptosystems with elliptic curves. Publications:

112. Nagaraj, D.S. Institute of Mathematical Sciences, C.I.T., Chennai. algebraic number theory, algebraic geometry. http://www.imsc.res.in/~dsn/

I am interested in the following areas of Mathematics: Algebraic Geometry and Algebraic Number theory. Hello. List of publications On the moduli of curves with theta-characteristics Compositio Mathematica, Vol 75, P. 287-297, 1990. The stucture of Iwasawa module associated with a $Z^r_p$-extension of a p-adic local field of characteristic Journal of Number theory,Vol 38,No 1, P. 52-57, May 1991. (with A.R.Aithal) Splitting types of holomorphic bundles associateted to some hormonic maps. Comm. In Algebra Vol 21 (10), P. 3727-3731, 1993. (with S.Ramanan) Polarisation of type (1,2, ... ,2) on Abelian varieties Duke Journal of Mathematics, (Pages, 157 - 194), Vol.80, No.1, Oct.1995. (with C.S.Seshadri) Degenerations of the moduli spaces of vector bundles on curves I Proc.Indian Acad. Sci (Math. Sci.), Vol. 107, No. 2, pp 101-137, May 1997. (with Indranil Biswas) Parabolic ample bundles, II: Connectivity of zero locus of a class of sections Topology, Vol. 37, No. 4, pp. 781-789, 1998. (with Laytimi Fatima) On the Maximal Degeneracy Loci and the secant vector bundle Jour. of Math. Sci.(Newyork) 94 (1999), No.1, 1068-1072.

113. Claus Fieker Technische Universit¤t Berlin. algebraic number theory; computational class field theory; the KANT computer algebra system. http://magma.maths.usyd.edu.au/users/claus/

Claus Fieker Address: School of Mathematics and Statistics, F07 University of Sydney NSW, 2006 Australia phone: +61-2-9351 5795 fax : +61-2-9351 4534 email: claus AT maths.usyd.edu.au Research Interests: Algebraic Number Theory Computational Class Field Theory Computer Algebra MAGMA and KANT Newly: computational mirco biology with my wife Michelle Publications Last modified: Fri Mar 12 19:03:03 MET DST 2004

114. Algebraic Number Theory NV1 algebraic number theory NV1. 7.5 ECTScredits (5 Swedish Credits); Subject Mathematics Literature A. Fröhlich MJ Taylor algebraic number theory, http://www.uadm.uu.se/inter/education/index.php/course/718

@import url(http://www.uadm.uu.se/inter/education/uu_css/maincss.css); webbstandards UPPSALA UNIVERSITY Programmes and Courses Courses: By Department By Subject By Title International Office Algebraic Number Theory NV1 ECTS-credits (5 Swedish Credits) Subject: Mathematics Language of Instruction: English on request Prerequisites: 90 ECTS credit points in mathematics including Number Theory MN1, Linear Algebra MN2 and Algebra MN3. Level: D Study Period: January-May (half time course). Examination: Written examination when the course is finished. Instruction: Lectures and problem solving sessions where the students present solutions. Responsible Department: Department of Mathematics Content: Kummers proof of Fermats last theorem for regular prime exponents, theory of ideals and modules for Dedekind rings, ideal class group and unit group of an algebraic number field, quadratic fields, quadratic forms, cyclotomic fields, elliptic curves. Further Information: Mr. Sohel Zibara, Departmental ECTS Coordinator, tel.: +46-18 471 32 03, fax: +46-18 471 32 01, e-mail: Studievagledare@math.uu.se Webmaster

115. Number Theoretical Research algebraic number theory. blueline I. Stewart, D. Tall algebraic number theory. Chapman and Hall, 1979. LC Washington Introduction to Cyclotonic fields http://www.math.utu.fi/research/numbertheory/algebraic.html

Algebraic Number Theory Many questions initially related to integers can be extended to larger domains, namely, to algebraic number fields . Particularly interesting are such fundamental concepts as the unit group, the discriminant and the class number, which all depend on the arithmetical structure of the field. Deep algebraic methods are used in the study of these concepts. Algebraic number theory is by no means based solely on algebra. For example, L-functions , which carry valuable information about many invariants associated to number fields, create a strong link to analysis. In addition, the theory of elliptic curves has proved to be immensely useful in many difficult problems concerning algebraic number fields. The research of our group is concentrated on theoretical and computational questions on Abelian fields , which are Galois extensions of the field of rationals whose Galois group is commutative. The arithmetic of such fields is closely related to p-adic L-functions. We have investigated many questions related to these functions, such as the location of zeros. Moreover, we have worked on Iwasawa theory , whose roots are in certain infinite Abelian extensions, the canonical example of which is the extension generated by all roots of unity of order p n , where p is a fixed prime.

116. Hartmut Bauer Technische Universit¤t Berlin. algebraic number theory and analytic theory of algebraic numbers. Thesis and preprints. http://www.math.tu-berlin.de/~bauer/

Hartmut Bauer Address: FB 3 - Mathematik MA 8-1 D-10623 Berlin Germany phone: +49-30-314-79387 phone: +49-30-314-24015 (secretary) fax : +49-30-314-21604 email: bauer@math.tu-berlin.de Research Interests: Algebraic Number Theory Analytic Theory of Algebraic Numbers Calculation of L-Functions over Number Fields Diploma Thesis: PhD Thesis: Distribution of Values of Artin L-Functions and Applications Preprints: On the Value Distribution of Artin-L-Series and the Functional Independence of Dedekind-Zeta-Functions , 2000, submitted to J. N. Th. TU-Berlin Mathematics Department KANT Last modified: Fri Mar 12 19:03:03 MET DST 1999

117. Department Of Mathematics - Algebraic Number Theory (Winter Semester 2005/06) Workgroup on Number Theory and Algebraic Geometry. Deutsche Version Universität Karlsruhe (TH) Fakultät für Mathematik http://www.mathematik.uni-karlsruhe.de/mi2schmidt/edu/algzahlthi2005w/en

@import url(http://www.mathematik.uni-karlsruhe.de/root/media/fakultaet.css); @import url(http://www.mathematik.uni-karlsruhe.de/root/media/fakultaet-druck.css); Department of Mathematics Workgroup on Number Theory and Algebraic Geometry Deutsche Version URL: http://www.mathematik.uni-karlsruhe.de/mi2schmidt/edu/algzahlthi2005w/en Department of Mathematics Institutes and Divisions Mathematical Institute II Workgroup Number Theory and Algebraic Geometry - Classes ... AlgNumbI Navigation Department of Mathematics Dean's Office Institutes and Divisions Mathematical Institute I ... Staff Algebraic Number Theory (Winter Semester 2005/06) Lecturer: Prof. Dr. Claus-Günther Schmidt Classes: Lecture (1024), Problem class (1025) Weekly hours: Audience: Mathematics, computer sciences (5.-11. semester) Schedule Lecture: Tuesday 9:45-11:15 Seminarraum 31 Begin: 25.10.2005, End: 16.2.2006 Thursday 9:45-11:15 Seminarraum 31 Problem class: Wednesday 15:45-17:15 Seminarraum 33 Begin: 26.10.2005, End: 15.2.2006

118. American Mathematical Monthly, The: Algebraic Number Theory And Fermat's Last Th Full text of the article, algebraic number theory and Fermat s Last Theorem, Third Edition from American Mathematical Monthly, The, a publication in the http://www.findarticles.com/p/articles/mi_qa3742/is_200301/ai_n9218480

@import url(/css/us/style1.css); @import url(/css/us/searchResult1.css); @import url(/css/us/articles.css); @import url(/css/us/artHome1.css); Advanced Search Home Help IN free articles only all articles this publication Automotive Sports 10,000,000 articles - not found on any other search engine. FindArticles American Mathematical Monthly, The Jan 2003 Content provided in partnership with 10,000,000 articles Not found on any other search engine. Featured Titles for ASA News ASEE Prism Academe African American Review ... View all titles in this topic Hot New Articles by Topic Automotive Sports Top Articles Ever by Topic Automotive Sports Algebraic Number Theory and Fermat's Last Theorem, Third Edition American Mathematical Monthly, The Jan 2003 by Bressoud, David Save a personal copy of this article and quickly find it again with Furl.net. It's free! Save it. Number Theory, T*(16-17: 1), L. Algebraic Number Theory and Fermat's Last Theorem, Third Edition. Ian Stewart, David Tall. AK Peters, 2002, xix + 313 pp, $38. [ISBN 1-56881 119-5] A new edition of the most readable, accessible, enjoyable text in algebraic number theory. Three new chapters introduce the ideas behind Wiles' proof of Fermat's Last Theorem. Ends with the ABC Conjecture. DB Advertisement Save Print Send Link ... Subscribe IN free articles only all articles this publication Automotive Sports FindArticles - research-quality articles from trusted sources About Us Advertise with Us ... Furl.net

119. Algebraic Number Theory, Course Syllabus, Spring 2005. algebraic number theory, MAS5331, Spring 2005. Location 106 LOV. Time MWF 11151205. Instructor Dr. Mark van Hoeij. e-mail hoeij@math.fsu.edu http://www.math.fsu.edu/~hoeij/syllabus_numtheory.html

Algebraic Number Theory, MAS5331, Spring 2005. Location: 106 LOV Time: MWF 11:15-12:05 Instructor: Dr. Mark van Hoeij e-mail: hoeij@math.fsu.edu URL: http://www.math.fsu.edu/~hoeij 211 LOV. Office hours: MWF 9:30-10:30. You are welcome during other hours as well. Text: I will hand out the material in class. Most of it will come from the following web pages: http://modular.fas.harvard.edu/papers/ant/ and http://www.jmilne.org/math/CourseNotes/math676.html Grading: There will be three tests during the semester, and one final test. Each of these four tests will account for 20% of the final grade. The remaining 20% of the grade will be determined by homework. Exam policy: There will be no makeup tests or quizzes. A missed test can only be excused before the day of the test, and you will need a good reason with proof. When a missed test is excused, the grade of the test will be the same as the grade on your final. A missed test will not be excused on or after the day of the test, and a non-excused missed test means zero points. Course objectives: Rings of integers of number fields. Unique factorization of ideals in Dedekind domains. The group of units of the ring of integers. The class group. Valuations. Local fields.

120. Marcus Wagner Technische Universit¤t Berlin. algebraic number theory. http://www.math.tu-berlin.de/~wagner/

Marcus Wagner Address: FB 3 - Mathematik MA 8-1 D-10623 Berlin Germany phone: 030/314-23761 (MA 812) email: wagner@math.tu-berlin.de Research Interests: Algebraic number and function fields Publications On the computation of Hermite-Humbert constants for real quadratic number fields (preprint) PS PDF Table of Humbert forms This table contains 19 Humbert forms. Thery are listed with their minimal vectors, eutactic coefficients and the dimension of perfection. 16 Humbert forms are extreme. [ PS PDF TU-Berlin Mathematics Department ... KANT Last modified: 2005-07-18 16:40

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