Program

Number theorists have always made calculations, whether by hand, desk calculator, or computer. In recent years this predilection has extended in many directions, and has been reinforced by interest from other fields such as computer science, cryptography, and algebraic geometry. The Algorithmic Number Theory program at MSRI will cover these developments broadly, with an eye to making connections to some of these other areas. The program will be organized around the following topics:Combinatorial and computational number theoryAlgorithmic algebraic number theoryNumber-theoretic cryptographyFunction fields and algebraic curvesArithmetic geometry. In each of these areas both practical and theoretical algorithmics will be encouraged, and we anticipate that some participants will perform actual calculations on a computer, while others wouldn't dream of actually using a computer to calculate anything. Silvio Levy has compiled a Reading List for the Algorithmic Number Theory program, which is viewable at http://www.msri.org/local/library/reading_lists/0001-ant.html