Algebraic Geometry. 3 credits

Catalog description

Integrates topics from algebra directly into the geometric context through the study of algebraic varieties. Methods require the use of fields, rings, ideals to describe geometric objects. Topics include affine varieties, Hilbert’s Basis Theorem, Gröbner bases, Buchberger’s Criterion and Algorithm, parametrizations, Hilbert’s Nullstellensatz, and the Algebra-Geometry Dictionary. Offered by Mathematics . Limited to three attempts.