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         Algebraic Number Theory:     more books (100)
  1. Algebraic theory of numbers by Pierre Samuel, 1970
  2. Foundations of the Theory of Algebraic Numbers, Vol. I & II (2 Volume Set) by Harris Hancock, 1964
  3. Lectures on the theory of algebraic numbers by L. E Dickson, 1917
  4. Introduction to the Theory of Algebraic Numbers and Functions by Martin Eichler, 1966
  5. Theory of Algebraic Number Fields by David Hilbert, 1980
  6. Algebraic Theory of Numbers by WeylHermann, 1940
  7. Number Theory & Algebraic Geometry by Miles Reid, 1980
  8. Fundamental exponents in the theory of algebraic numbers, (University of Toronto studies) by Samuel Beatty, 1937
  9. Algebraic Theory of Numbers by Pierre (Silberger, Allan J. trans) Samuel,
  10. Theory of algebraic numbers by Richard F Schulz-Arenstorff, 1961
  11. Lectures on the Theory of Algebraic Numbers by Erich Hecke, 1980
  12. Fermat's last theorem and the origin and nature of the theory of algebraic numbers by Leonard E Dickson, 1917
  13. The Theory of Algebraic Numbers by Harry And Harold Diamond Pollard, 1975
  14. Introduction to the theory of algebraic numbers and functions (Pure and applied mathematics; a series of monographs and textbooks) by M Eichler, 1966

121. Roland Queme Home Page
algebraic number theory.
Roland Queme
13 Avenue du chateau d'eau
31490 Brax

home page:
Last update : 2003 august 11 Private domain of interest
  • Algebraic Number Theory : Geometry of Numbers Diophantine Approximation of algebraic numbers Cyclotomic fields and Fermat's Last Theorem
  • Prepublications :
  • Some congruences on prime factors of class number of algebraic extensions - Version 4.0 2003 april 20 preprint 2003 Apr 25 math.NT/0304405 at A classical approach on cyclotomic fields and Fermat-Wiles theorem - Version 1.2 2002 november 03 preprint at A classical approach on Fermat-Wiles Theorem - Version 8.1 2002 june 18 preprint 2002 Jul 16 at Algebraic Number Theory Archives , University of Illinois A classical approach on Fermat-Wiles Theorem - Version 5.2 2002 jan 30 preprint 2002 Feb 13 at Algebraic Number Theory Archives , University of Illinois A classical approach on Fermat-Wiles Theorem : preprint 2001 Nov 07 at Algebraic Number Theory Archives , University of Illinois A generalization of Eichler's criterion for Fermat's Last Theorem : preprint 2000 May 09 at Algebraic Number Theory Archives , University of Illinois On the factorization of the class number of cyclic extensions K/Q : preprint 1999 May 28 at Algebraic Number Theory Archives , University of Illinois

  • Some Publications :
  • A computer algorithm for finding new euclidean number fields
  • 122. Amnon Besser: Homepage
    Ben Gurion University. number theory, algebraic cycles, algebraic Ktheory and arithmetic geometry. Research, publications, course information, and links.
    Dr. Amnon Besser
    Address Department of Mathematics
    Ben Gurion University

    Be'er Sheva 84105
    Israel Phone
    Room NO.
    Office hours
    : Monday 14-16 Education B.Sc. : Tel Aviv University 1985
    M.Sc. : Tel Aviv University 1987
    Ph.D. : Tel Aviv University 1993 Research Research Interests: Number theory, Arithmetic geometry, p-adic integration, p-adic cohomology, Shimura varieties, Automorphic forms, Algebraic cycles, Algebraic K-theory. List of publications from mathscinet (requires mathscinet authorization) Research profile Research Group: Number Theory and Algebraic Geometry Publications

    123. Seminar KULeuven-UGent, Number Theory And Algebraic Geometry
    number theory and algebraic Geometry meetings at Katholieke Universiteit Leuven and University of Gent, Belgium.
    Number Theory and Algebraic Geometry, KULeuven-UGent.
    Ghent University, Department of Pure Mathematics and Computer Algebra
    K.U.Leuven, Department of Mathematics , research unit algebraic geometry and number theory The seminars take place at (unless stated otherwise)
    • KULeuven, Celestijnenlaan 200B, 3001 Heverlee, room 01.05 UGent, Galglaan 2 (S22), 9000 Gent, room 14

    Information: Jan Denef (KULeuven), Cindy De Volder (UGent) and Wim Veys (KULeuven) Webmasters:
    Wouter Castryck (KULeuven), e-mail:
    Cindy De Volder (UGent), e-mail:
    This year's seminars (2003-2004):
    • Seminar: Thursday May 27th (2004), 13:30-16:00, KULeuven, Frans Oort (Univ. Utrecht) Hecke orbits and foliations in moduli spaces Seminar day: Wednesday May 26th (2004), UGent,
      at 11:00, Stefan De Wannemacker (UGent): Quadratic forms and Stirling numbers of the second kind at 14:30, Raman Preeti (Univ. de Rennes): Multipliers of similitudes
      at 16:00, Antonio Laface (Univ. di Milano): Polynomial interpolation on P n
    • Ph. D. thesis defence:

    124. Veys
    University of Leuven. algebraic geometry, singularity theory, applications in number theory. Papers and preprints.
    Home Page of Wim Veys Contents Work Information Contact Information Publications with available DVI- and PS-file Previous publications Work Information Professor at the University of Leuven (K.U.Leuven), Department of Mathematics, Section of Algebra
    Fields of Research
    Algebraic Geometry, Singularity Theory, applications in Number Theory
    Specific Research Topics
    Exceptional divisor of an embedded resolution, Zeta Functions (Igusa, topological, motivic), Monodromy, configurations of curves on surfaces, Stringy invariants, Principal value integrals
    Ph.D. Students
    Bart Rodrigues : Geometric determination of the poles of motivic and topological zeta functions may 2002 Dirk Segers : Smallest poles of zeta functions and solutions of polynomial congruences, april 2004 Jan Schepers : On stringy invariants
    Ann Lemahieu : On possible poles of zeta functions Filip Cools
    Back to top
    Contact Information Address University of Leuven, Department of Mathematics, Celestijnenlaan 200 B, B-3001 Leuven (Heverlee), Belgium. Electronic mail address

    A summer school for students in number theory, algebra and algebraic geometry. Sophus Lie Conference Center, Nordfjordeid, Norway; 1620 August 2004.
    16.-20. August 2004
    Sophus Lie Conference Center, Nordfjordeid, Norway
    Don Zagier (MPI, Bonn)
    Organizing committee:
    Program: The summer school is particularly aimed at students in number theory, algebra and algebraic geometry.
    The course will consist of three intertwined lecture series, "Elliptic modular forms and their applications" (Don Zagier)
    "Hilbert modular forms and their applications" (Jan Bruinier)
    "Siegel modular forms and their applications" (Gerard van der Geer) The first of these will treat the classical one-variable theory and some of its many applications in number theory (representations of numbers by quadratic forms, irrationality and transcendence results, moments of periodic functions, ...), algebraic geometry (counting of coverings of curves), and mathematical physics (appearance of modular forms in percolation theory, string theory, etc.) The second, which has a more geometric flavor, will give an introduction to the theory of Hilbert modular forms in two variables (i.e., over real quadratic fields), the geometry of Hilbert modular surfaces, and to Borcherds products and the Borcherds lifting. The third will give an introduction to Siegel modular forms (both scalar- and vector-valued) and present a beautiful application to the theory of curves of finite fields (Harder's conjecture).

    126. Home Page For Arthur Baragar
    University of Nevada, Las Vegas. number theory, arithmetic geometry, and algebraic geometry. Personal background and mathematical links.

    127. Felipe Voloch
    University of Texas. number theory and algebraic geometry applications to coding theory and cryptography.
    Felipe Voloch
    Contact Information
    Dept. of Mathematics
    University of Texas

    TX 78712 USA
    My research is in Number Theory and Algebraic Geometry and applications to Coding Theory and Cryptography. You can find out more about my research by getting some of my preprints or seeing my cv . Check out medusa too. I am part of the Number Theory group here at UT. There is also a lot of information on Number Theory at the Number Theory Web I am also a member of the Southwestern Center for Arithmetical Algebraic Geometry I am now an editor of "Ensaios Matematicos", a journal published by the Brazilian Mathematical Society . The journal aims to publish reviews and surveys of high level. Here is the call for papers
    The class on Applications of finite fields, error correcting codes scheduled for the Spring of 2004 has been cancelled. It may be taught in the Spring of 2005 if there is sufficient interest. I will be teaching a graduate class on Algebraic Number Theory in the Fall of 2004. For the web pages of courses I taught in the past and other teaching information go to my course gallery
    Other pages I maintain
    Elliptic curves and formal groups , notes of the seminar run by J. Lubin, J.-P. Serre and J. Tate

    128. Dr. T. Ward, MTH, UEA
    University of East Anglia. Dynamical properties of commuting maps and algebraic dynamical systems, dynamical realization of integer sequences and other connections between number theory and dynamical systems.
    Dr. T. Ward
    School of Mathematics,
    University of East Anglia,
    Email: Web page: Room: (shared with Mrs Ann Barnes Mrs Janet Gooderham
    Staff list Maths Home Page This home page is maintained by . Generated 12/9/2003

    129. Arnold Adelberg
    Grinnell College. number theory, algebraic geometry, combinatorics. Recent publications and information.
    Arnold Adelberg
    Myra Steele Professor of Mathematics
    Grinnell College

    Ph.D. in mathematics, Princeton University, 1996.
    M.A. in mathematics, Princeton University, 1959.
    A.B. summa cum laude with distinction in mathematics, Columbia College, 1956. Interests: Number theory, algebraic geometry, combinatorics. Referee for The American mathematical monthly Discrete mathematics The Fibonacci quarterly , and The journal of number theory
    Reviewer for Mathematical reviews Positions held Recent publications:

    130. Jerome William Hoffman
    of advanced graduate courses, including algebraic Geometry, Commutative Algebra, Elliptic Curves, Modular Forms, algebraic Topology, number theory, Lie Groups
    Jerome William Hoffman
    Last Updated : August 16, 2002 Rank : Professor of Mathematics
    Degree : Ph.D.- Harvard University , 1977 (advisor Heisuke Hironaka
    A.B.- Princeton University
    Office : 374 Lockett Hall
    Address: Department of Mathematics LSU Baton Rouge , LA
    Phone :
    Fax :
    E-mail :
    1.) Over the years I have taught a variety of advanced graduate courses, including: Algebraic Geometry, Commutative Algebra, Elliptic Curves, Modular Forms, Algebraic Topology, Number Theory, Lie Groups and Lie Algebras. For the notes of a course, taken by students on local and global fields, culminating inTate's thesis, see Spring 2000 Math 7290
    2.) I have also been teaching in the REU (Research Experience for Undergraduates) program for the past 5 summers. See the LSU REU link. I have mentored students in many projects, including: zeta functions and modular forms for genus 2 curves, classical invariant theory, zeta functions of graphs. Last summer we explored multiple zeta values and connections to renormalization theory in physics. See Vita for titles of projects.

    131. Algebraic Areas Of Mathematics
    Topics include number theory, groups and sets, commutative rings, algebraic geometry, and linear algebra.
    Search Subject Index MathMap Tour ... Help!
    Algebraic Areas of Mathematics
    Return to start of tour Up to The Divisions of Mathematics The algebraic areas of mathematics developed from abstracting key observations about our counting, arithmetic, algebraic manipulations, and symmetry. Typically these fields define their objects of study by just a few axioms, then consider examples, structure, and application of these objects. We have included here the combinatorial topics and number theory ; each is arguably a distinctive area of mathematics but (as the MathMap suggests) these parts of mathematics, shown in shades of red, share definite affinities. The list on this page includes a rather large number of fields in the MSC scheme. It is also common to interpret the phrase "abstract algebra" in a more narrow sense - to view it as the fields obtained by adding successive axioms to describe the objects of study. Arguably then, abstract algebra is limited to sections 20 and 22 (Group Theory), 13, 16, and 17 (Ring Theory), 12 (Field Theory), and 15 (Linear Algebra), taken in this way as a succession from fewest to most restrictive sets of axioms. The use of algebra is pervasive in mathematics. This particularly true of group theory - symmetry groups arise very naturally in almost every area of mathematics. For example, Klein's vision of geometry was essentially to reduce it to a study of the underlying group of invariants; Lie groups first arose from Lie's investigations of differential equations. It is also true of linear algebra - a field which, properly construed, includes huge portions of Numerical Analysis and Functional Analysis, for example hence that field's central position in the MathMap.

    132. (Israel) Ben Gurion University Of The Negev
    number theory and algebraic Geometry Research Group. Members, research interest, seminars.
    P.O. Box 653, Be'er-Sheva 84105, ISRAEL
    Number Theory and Algebraic Geometry Research Group
    Eitan Bachmat
    PhD: MIT 1994
    Main Research Interests: Arakelov theory, Hilbert modular varieties
    E-mail: Daniel Berend
    PhD: The Hebrew University of Jerusalem 1982
    Main Research Interests (in Number Theory): distribution modulo 1 (especially density modulo 1), Diophantine approximations, some classes of Diophantine equations
    E-mail: Amnon Besser
    PhD: Tel Aviv University 1993
    Main Research Interests: number theory, arithmetic geometry, p-adic integration, p-adic cohomology, Shimura varieties, automorphic forms, algebraic cycles, algebraic K-theory.
    E-mail: Ido Efrat
    PhD: Tel-Aviv University 1990 Main Research Interests: Galois theory, field arithmetic, structure of canonical Galois groups, valuation theory E-mail: Nadya Gurevich PhD: Weizman Institute 2000 Main Research Interests: automorphic forms, representation theory E-mail:

    133. Fermigier, Stéfane
    number theory and algebraic geometry.
    The pages you are about to enter have been written between 1994 and 1996, and have not been updated since These pages are not up to date. If you want to find up to date information about what I'm doing right now, go to instead (basicallly, we are doing Zope and Python development). So, do you really want to see Stéfane Fermigier's home site circa 1995 ? Yes (french version) Yes (english version) No Other sites maintained by Stéfane Fermigier: Other sites that I've been contributing to:
    • AFUL , the french speaking Linux and free software users association.

    134. Zuniga-Galindo, Wilson
    Barry University. algebraic geometry, number theory, padic analysis.
    W. A. Zuniga-Galindo Ph.D.
    Assistant Professor of Mathematics and Computer Science Address: Barry University
    Department of Mathematics and Computer Science
    11300 N.E. Second Avenue, Miami Shores, Florida 33161
    Office: Garner 210
    Office Hours and Schedule
    Hour M T W TH F -AM- Office Hours
    Computer Science I
    Garner Hall 102
    Computer Science I
    Garner Hall 102 11:00AM-12:00 AM 1:00 PM- 2:00 PM Office Hours Office Hours Office Hours Office Hours Computer Security Garner Hall 106 Computer Security Garner Hall 106 4:00 PM-5:50 PM Lab Comp. Science I
    Teaching (Fall 2003)
    • CS231 Computer Science I: Syllabus (MSWord) CS477 Computer security: Syllabus (MSWord)
    Research Interests
    • Algebraic Geometry: Resolution of singularities and zeta functions (local, topological and motivic). Number Theory: Finite and p-adic fields, algebraic curves, exponential sums and Newton polyhedra. Cryptography: Stream ciphers, arithmetic sequences and complexity.

    135. Noam D. Elkies Home Page
    Harvard. number theory, algebraic geometry. Preprints, tables in computational number theory.
    Noam D. Elkies
    Professor, Department of Mathematics Harvard University E-Mail Work Address
    Department of Mathematics, Harvard University, Cambridge, MA 02138. Work Telephone
    fax Mathematics Music Chess links My Brandenburg Concerto #7 (no kidding!) will be premiered by the Metamorphosen Chamber Orchestra Saturday, September 27 at 8PM in Jordan Hall (New England Conservatory, near Symphony Hall). I'll speak at a pre-concert talk at 7:15. Here are my program notes.
    Please ignore these HTML tests.
    sample link #1
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    136. Cryptography And Information Security / Information Security And Cryptography Re
    Interests Informationtheoretic cryptography, Secure distributed computation, Public-key cryptography and digital signatures, number-theoretic and algebraic cryptography, Zero-knowledge protocols, Complexity theory
    Home Research Publications Teaching ... Links Information Security and Cryptography Research Group
    top row, left to right: Ueli Maurer Martin Hirt Jesper Buus Nielsen
    middle row, left to right: Renato Renner
    bottom row, left to right: Bartosz Przydatek Krzysztof Pietrzak Thomas Holenstein
    Mission Statement
    Information is becoming a crucial if not the most important resource of the economy and the society at large. Information differs radically from other resources; for instance, it can be copied without cost, it can be communicated at the speed of light, and it can be destroyed without leaving traces. This poses new challenges for the protection of this new resource and of intellectual property in general. Information security, in particular cryptography, is an enabling technology that is vital for the development of the information society. Our missions are
    • to contribute to understanding the foundations of, and finding practical solutions for, known and emerging information security problems,
    • to foresee and identify future issues in information security

    137. Xing Chaoping
    National University of Singapore. algebraic Geometry, number theory, Cryptography, Coding theory, Complexity theory, Quasi Monte Carlo Method.

    138. Nicholas M. Katz's Home Page
    Professor of number theory algebraic Geometry, Princeton University. Space filling curves over finite fields.
    Check out Bibliography of Nicholas M. Katz pdf file (70 KB) C.V. of Nicholas M. Katz pdf file (6 KB) Photo from 60'th Birthday Conference jpg file (807 KB) Photo from 60'th Birthday Conference (high resolution version) TIF file (123 MB)
    Nicholas M. Katz PDF and DVI files available for download
    On a question of Lillian Pierce dvi file (44 KB) pdf file (982 KB) Hooley parameters for families of exponential sums over finite fields pdf file Notes on G_2, determinants, and equidistribution (typo's corrected Dec. 9, 2003) pdf file online version (joint with Esnault) Cohomological divisibility and point count divisibility (corrected version of nov. 10, 2003) dvi file (41 KB) pdf file (187 KB) Corrected version of Chapter 5 of "Twisted L-Functions and Monodromy" pdf file (Annals of Math Study, to appear) Moments, Monodromy, and Perversity: a Diophantine Perspective Corrections to "Space filling curves over finite fields" dvi file (12 KB) pdf file (88 KB) (joint with Pandharipande) Inequalities related to Lefschetz pencils and integrals of Chern classes pdf file (80 KB) Estimates for "nonsingular" multiplicative character sums dvi file (60 KB) pdf file (206 KB) A semicontinuity result for monodromy under degeneration dvi file (36 KB) pdf file (163 KB) Sato-Tate Equidistribution of Kurlberg-Rudnick Sums pdf file (94 KB) AWS2000 Lectures: L -functions and monodromy: four lectures on Weil II pdf file (184 KB) Larsen's Alternative, Moments, and the Monodromy of Lefschetz Pencils

    139. Home Page Of Eric Bach
    University of Wisconsin. Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, sixstring automata.
    Eric Bach
    Computer Sciences Department
    University of Wisconsin
    1210 W. Dayton St.
    Madison, WI 53706-1685
    telephone: (608) 262-1204
    fax: (608) 262-9777
    email: bach at
    Ph.D., University of California, Berkeley, 1984
    Interests: Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata
    Research Summary
    I am interested in how one uses computers to efficiently solve algebraic and number-theoretic problems (example: how does one tell if a 100-digit number is prime without examining all possible factors?). These problems have intrinsic mathematical interest, as well as applications to random number generation, codes for reliable and secure information transmission, computer algebra, and other areas. I am also interested in applying probability theory to the design and analysis of algorithms. For example, if a large number is composite, it can be proved so by a simple test that uses an auxiliary number, called a `witness.' In practice one usually finds a witness by direct search among the small primes. This leads to the following natural question. How large is the least witness, as a function of the number tested? In recent work, we have given an accurate heuristic model, based on probabilistic assumptions, that allows this, and similar questions, to be answered.
    Some Recent Publications
    Algorithmic Number Theory (Volume I: Efficient Algorithms) (with J. Shallit), MIT Press, 1996. For info click on

    140. Section Of Algebra En Topology-
    algebraic geometry and number theory. Members, research topics, seminar meetings.
    Research unit
    Algebraic geometry and number theory
    Last revision: 2003, january
    Members :
    (click here for a publication list of our section)
    • Prof. Jan Denef ( homepage Prof. Wim Veys ( homepage Prof. em. Alfred Warrinnier Prof. Raymond Debremaeker Dirk Segers Raf Cluckers ( homepage Bart Rodrigues An Commeine Johannes Nicaise Véronique Van Lierde Ann Lemahieu Jan Schepers Wouter Castryck Igor Semaev Marc Coppens
    Links to former staff members:
    Research topics
    Seminar in number theory and algebraic geometry
      Information from : section of algebra and topology
      Reactions : Wim Veys

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