By Paul Garrett.

Robert Harley, Pierrick Gaudry, François Morain and Mireille Fouquet have established new records for point counting in characteristic 2, using a new algorithm by to Takakazu Satoh.

Lecture notes from a seminar J. Lubin, J.-P. Serre and J. Tate.

Syllabus and detailed reading list by Miles Reid, University of Warwick.

Lecture notes and resources by Helena Verrill, Louisiana State University, 2004.

Articles and links, compiled by Graham Everest.

Lecture notes and surveys by Ralph Greenberg, University of Washington (PS).

Includes errata for his books Rational Points on Elliptic Curves and Advanced Topics in the Arithmetic of Elliptic Curves.

A course by Jerrold Tunnell. An introduction to rational points on elliptic curves through examples.

Elementary introduction and brief explanation of some well-known results.

Number Theory section of the sci.math FAQ list.

Textbook covering following topics: compositions and partitions; arithmetic functions; distribution of primes; irrational numbers; congruences; diophantine equations; combinatorial number theory; and geometry of numbers.

Examples and algorithms for computing Klein polyhedra, also known as Arnold sails or veils (voiles), by Keith Briggs.

Michel Waldschmidt. Cetraro summer school lectures, July 2000.

Proofs along with equation solvers and graphical views written in Java.

A forum for all mathematicians who work in valuation theory or apply valuation theoretical results in their own field of research.

Thesis, papers, manuscripts, letters and bibliography.

Papers and surveys by Ed Schaefer.

Full notes as .dvi, .pdf, and .ps files for all the advanced courses J. S. Milne taught between 1986 and 1999.