MATH 328 - Computational Algebra and Algebraic Geometry

First Semester. This course examines connections between the algebra and geometry of the set of solutions to a system of polynomial equations (called a variety) and the use of algorithms to effect concrete calculations. Topics studied include rings and ideals, Gröbner bases, resultants and elimination theory, Hilbert’s Nullstellensatz, the correspondence between polynomial ideals and algebraic varieties, and applications of the methods to other areas of mathematics. There will be opportunities for computer experimentation and student projects.

Prerequisites & Notes
Prerequisites: MATH 231 and MATH 232. MATH 220 is also highly recommended. Note: Given in alternate years only.

Ms. Colley

Credits: 3 hours