# Math 494 Special Topics in Mathematics

# Elementary Algebraic Geometry

## Spring 2003

MWF 11:00 311 AH

Call Number: 65006

#### Instructor David Marker

- Office: 411 SEO
- Office Phone: (312) 996-3069
- Office Hours: M 9-11, W 12-1, and by appointment.
- Fax: (312) 996-1491
- e-mail: marker@math.uic.edu
- web page:
http://www.math.uic.edu/~marker
- course web page: http://www.math.uic.edu/~marker/math494

#### Prerequisites

Math 320 Linear Algebra I, Math 330 Abstract
Algebra, and consent of instructor.
#### Description

Algebraic Geometry is the study of the geometry of
solution sets of systems of polynomial equations.
This is a central area of modern mathematics with deep
connections to number theory and applications to a broad spectrum of areas including cryptography and mathematical physics.
We will show how ideas from linear algebra and ring theory
can be applied to yield geometric insights.
Specific topics covered will include:
- algebraically closed fields
- geometry of projective spaces;
- conic and cubic plane curves;
- affine varieties and ideals in polynomial rings.

#### Course Goals

Math 494 is intended to ease students transition from
undergraduate to graduate mathematics by:
- introducing the problems and results from an important area of modern mathematics;
- illustrating the interconnections between different branches of mathematics;
- reviewing and developing further results from linear algebra and abstract algebra.

#### Grading

Grades will largely be based on
homework. In addition there may be an oral and/or takehome
midterm and final. Class participation will also count.
#### Notes and Links

Problem Sets

Last updated 4/25/03