161. Prof. J.H. Coates, FRS University of Cambridge. Interests in number theory, arithmetical algebraic geometry, and Iwasawa theory. http://www.dpmms.cam.ac.uk/site2002/People/coates_jh.html

Department of Pure Mathematics and Mathematical Statistics DPMMS People Prof. J.H. Coates, FRS Prof. J.H. Coates, FRS Title: Sadleirian Professor of Pure Mathematics College: Emmanuel College Room: C1.08 Tel: +44 1223 337989 Personal Home Page Research Interests: Number theory, arithmetical algebraic geometry, Iwasawa theory Information provided by webmaster@dpmms.cam.ac.uk

162. Xing Chaoping National University of Singapore. number theory, algebraic geometry, coding theory, cryptography, Monte Carlo methods. http://www.math.nus.edu.sg/~xingcp/

163. W.Y. Velez's Homepage University of Arizona. algebraic and elementary number theory; Group theory; Field theory; algebraic coding theory; Communication theory; Signal processing. Preprints and articles on educational issues. http://www.math.arizona.edu/~velez/

Personal Information Curriculum Vitae Math 115a Articles Permutations of the positive integers with restrictions on the sequence of differences "University Faculty: Priming the Pump or Lying in Ambush?" "Integration of Research" "Academic Advising as an Aggressive Activity" ... "The Research Mathematician as Storyteller" Powerpoint Presentations Increasing the number of mathematics majors presentation to Project NEXT, Boulder, CO, July 2003 Patents Some Links SACNAS HOMEPAGE

164. Michael TSFASMAN Institute for Information Transmission Problems, Russian Academy of Sciences. algebraic geometry in relation to number theory (varieties over nonalgebraically closed fields, especially over finite fields and number fields, parallelism between the function field and number field case, curves, rational varieties, rational points and zero-cycles, elliptic curves and abelian varieties, towers of varieties and asymptotic theory); number theory (global fields, zeta-functions); Error-correcting codes; Lattices and sphere packings http://www.aha.ru/~tsfasman/

Updated: January 1999 Prof. Dr. Michael A. T s f a s m a n Michael A. Tsfasman Dobrushin Mathematics Laboratory, Institute for Information Transmission Problems, Russian Academy of Sciences, 19 Bolshoi Karetny, 101447 Moscow GSP-4, RUSSIA  Telephone: Fax: E-mail: tsfasman@iitp.ru Curriculum Vitae Books and research papers Family ... Independent University of Moscow There were visits on this homepage.

165. Home Page Of Barry Mazur Harvard University. number theory, automorphic forms, arithmetic algebraic geometry. Papers and work in progress. http://www.math.harvard.edu/~mazur/

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166. Mit~coneil M.I.T. number theory, Arithmetic algebraic geometry. http://www-math.mit.edu/~coneil/

Catherine O'Neil, Senior Postdoctoral Research Associate at M.I.T. Fields of Mathematical Interest: Number Theory, Arithmetic Algebraic Geometry Contact information M.I.T. Math Department Room 77 Mass Ave. Cambridge, MA 02139-4307 office: (617)253-4079 fax: (617)253-4358 email: coneil@math.mit.edu Dowload one of my preprints or papers: ``Jacobians of Genus One Curves (dvi)'' Math. Res. Lett. 8 (2001), no. 1-2, 125-140. ``The Period-Index Obstruction for Elliptic Curves (dvi)'', Journal of Number Theory 95, 329-339 (2002). ``Explicit Descent over X(3) and X(5) (pdf)'', submitted for publication. localparameter.mws (a link for the above preprint.) Download a copy of my thesis in two formats: thesis.dvi or thesis.ps Download my CV (in pdf format). Other links: Analytic Number Theory (18.785), Spring 2003 Fair Foods Wedding Slideshow Recent Kiddo photos (Jan 2004)

167. VersionUS Conference in honour of Michel Raynaud. Orsay, 1822 June 2001. http://www.math.u-psud.fr/~mr2001/confraynaudus.htm

French version ALGEBRAIC GEOMETRY AND APPLICATIONS TO NUMBER THEORY A CONFERENCE IN HONOR OF MICHEL RAYNAUD ORSAY, JUNE 18-22, 2001 Invited speakers Ahmed Abbes, John Coates, Gerd Faltings, David Harbater, Yasutaka Ihara, Johan de Jong, Nicholas M. Katz, Barry Mazur, Vikram. B. Mehta, Laurent Moret-Bailly, Frans Oort, Michael Rapoport, Kenneth A. Ribet, Jean-Pierre Serre, Christopher Skinner, Tetsuji Shioda, Akio Tamagawa, John Tate. Program Organizing Committee Luc Illusie Jean-Marc Fontaine Yves Laszlo Information : mr2001@math.u-psud.fr You have also an hotel list available on the web. Mathematicians who plan to attend the conference are asked to fill the registration form

168. NUMBER THEORY WEB (AUSTRALIAN SITE) number theory Web. ( Australian Site) Aims. New Listings. number theorists' Home Pages/Departmental listings. Things of Interest to number Theorists. Search the number theory Web Pages http://www.math.uga.edu/~ntheory/web.html

Number Theory Web (Australian Site) Aims New Listings Number theorists' Home Pages/Departmental listings Things of Interest to Number Theorists ... Search the Number Theory Web Pages The American mirror site at University of Georgia, Athens, USA has been discontinued as of 21st April 2003; please adjusts your bookmarks The main site is in Vancouver, as of 31st May 2003 The Australian mirror site is at University of Queensland, Brisbane, Australia The Italian mirror site The British mirror site is at University of Cambridge, UK The Japanese mirror site is at University of Electro-Communication, Tokyo The Indian mirror site is at Harish-Chandra Research Institute, Allahabad Created and maintained by Keith Matthews , Dept of Mathematics, University of Queensland, Brisbane, Australia Suggestions for additions or improvements are welcome. Email: krm@maths.uq.edu.au Last modified 19th April 2004

169. SECANTS Programmes SECANTS South of England Computational and Algorithmic number theory Seminars. Next meeting SECANTS 24 22 May 2004, Bath. Programmes of previous meetings. http://www.maths.nott.ac.uk/personal/jec/secants/meetings.html

SECANTS South of England Computational and Algorithmic Number Theory Seminars Next meeting: SECANTS 24 : 22 May 2004, Bath Programmes of previous meetings SECANTS 1 : Saturday 2 December 1995, Oxford SECANTS 2 : Saturday 2 March 1996, Goldsmiths SECANTS 3 : Saturday 1 June 1996, Oxford SECANTS 4 : Saturday 30 November 1996, Oxford SECANTS 5 : Saturday 22 March 1997, RHBNC SECANTS 6 : Saturday 14 June 1997, Oxford SECANTS 7 : Saturday 6 December 1997, Bristol SECANTS 8 : Saturday 14 March 1998, Oxford SECANTS 9 : Saturday 6 June 1998, Royal Holloway SECANTS 10 : Saturday 5 December 1998, Oxford SECANTS 11 : Saturday 27 February 1999, Nottingham SECANTS 12 : Saturday 26 June 1999, Oxford SECANTS 13 : Saturday 11 December 1999, Nottingham SECANTS 14 : Saturday 18 March 2000, Oxford SECANTS 15 : Saturday 17 June 2000, Oxford SECANTS 16 : Saturday 2 February 2002, Royal Holloway SECANTS 17 : Saturday 18 May 2002, Bristol SECANTS 18 : Saturday 14 September 2002, Royal Holloway SECANTS 19 : Saturday 7 December 2002, Oxford SECANTS 20 : Saturday 5 April 2003, Royal Holloway SECANTS 21 : Monday 22 September 2003, Bristol

170. Magma Computational Algebra System Home Page The Magma Computational Algebra System. for. Algebra, number theory and Geometry. Magma is a large, wellsupported software package http://magma.maths.usyd.edu.au/magma/

The Magma Computational Algebra System for Algebra, Number Theory and Geometry 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. Recent Notices: May 31, 2004: Magma version V2.11 has now been released. Registered users may now download V2.11 for Mac (OS X), PC (Linux) and Sparc (Solaris) from here here for example timings. About Magma What's New Magma on-line help FAQ ... Online Magma Calculator (external link) Magma is produced and distributed by the Computational Algebra Group within the School of Mathematics and Statistics of the University of Sydney.

171. Number Theory number theory. Notes home garrett@math.umn.edu See also the automorphic forms, Lfunctions, and representations stuff http://www.math.umn.edu/~garrett/m/number_theory/

Number Theory Notes home garrett@math.umn.edu See also the [ automorphic forms, L-functions, and representations stuff Notes from talk on cyclotomic and Lucas-Aurifeuille-LeLasseur polynomials and factorizations Lucas-Lehmer criterion ] for primality of Mersenne numbers, including Pepin's criterion for primality of Fermat numbers. Belyi's proof of a conjecture of Grothendieck Hodge-podge of old exercises Quadratic reciprocity over global fields Newton polygons ... home The University of Minnesota explicitly requires that I state that "The views and opinions expressed in this page are strictly those of the page author. The contents of this page have not been reviewed or approved by the University of Minnesota."

172. Expository Notes By K. Conrad Expository notes. These were written up for various reasons to accompany a talk for a (mathematically) general audience, to hand http://www.math.uconn.edu/~kconrad/blurbs/

Expository notes These were written up for various reasons: to accompany a talk for a (mathematically) general audience, to hand out as part of some notes in a course, or for some other purpose that I have since forgotten. If you find typographical or other errors in these files, please let me know. Algebra The Hurwitz theorem on sums of squares The Pfister theorem on sums of squares The Artin-Schreier theorem Relativistic addition and group theory ... The degree may not divide the size of the group Algebraic number theory Rings of integers without a power basis Kummer's lemma Fermat's last theorem for regular primes The character group of Q ... Invariants of the splitting field of a cubic, V Analysis The fundamental theorem of algebra via multivariable calculus Probability distributions and maximum entropy L p ... p

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