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# VIGRE seminar, Spring 2003: Algorithmic Number Theory and
Applications

**Instructor:** Maurice Rojas
**Students Enrolled:** Undergrads - Amy Collins (Math),
Benjamin Redd (Math), Colby Stevens (Comp Sci); Grad Students -
Timothy Nix (Comp Sci), Koji Ouchi (Comp Sci).
**Description**
- Number theory has gone from being the purest branch of pure
mathematics to becoming the backbone of modern cryptology and
information technology applications. This course provides an
accessible introduction to the techniques and algorithms underlying
computational number theory and its applications to coding theory
and complexity theory.

Students in mathematics, computer science, and engineering will
find the material quite accessible and there will be plenty of
topics that advanced students can pursue in greater depth. The
necessary algebraic background will be developed as necessary and
tailored specifically to the applications we have in mind, so a
course in abstract algebra is NOT a prerequisite.