MATH 538: Algebraic Geometry I

Note: If this course is being taught this semester, more information can be found at the course home page.

Cross Listed

(none)

Prerequisites

MATH436 and MTH437

This course is a prerequisite or co-requisite for

(none)

Description

Algebraic geometry is the study of geometric objects defined by polynomials in several variables. This course will present a mix of classical geometric methods along with techniques from commutative algebra, which provides the technical underpinnings of modern algebraic geometry. Particular emphasis will be paid to algebraic curves. A working knowledge of commutative algebra is a prerequisite for the course.

Topics covered

Varieties in projective space, curves, intersections in projective space.

MATH 535