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 theory
- Algorithmic algebraic number theory
- Number-theoretic cryptography
- Function fields and algebraic curves
- Arithmetic 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
Number-theoretic cryptography workshop
October 16, 2000
to October 20, 2000
This workshop will focus on number-theoretic aspects of cryptography, and will be cross-cultural, where the the cultures in question are "mathematics" and "computer science."
Arithmetic Geometry
December 11, 2000
to December 15, 2000
This workshop will focus on the development of explicit and computational methods in arithmetic
geometry, as well as the complexity analysis of existing algorithms.
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