Georgia Institute of Technology

Math 6421 - Algebraic Geometry I - Fall 2011

Place and time:

Skiles 170, MWF 1pm

Instructor:

Anton Leykin

Office:

Skiles 220

Phone:

(404) 894-2710

Email:

leykin@math.gatech.edu

Webpage:

http://people.math.gatech.edu/~aleykin3/math6431fall11

Hours:

see webpage

Description:

Algebraic Geometry is a branch of mathematics that occupies a central place in modern mathematics with connections to such classical areas as complex analysis, topology and number theory, as well as modern applied and computer algebra. If combines techniques of commutative algebra with the intuition and language of geometry.

This course offers an introduction to the subject with emphasis on fundamental concepts of classical algebraic geometry, basic apparatus of the commutative algebra, computational techniques, and explicit constructions.

Books:

• Hassett, Introduction to Algebraic Geometry (main text)
• Cox, Little, and O'Shea,
  Ideals, Varieties, and Algorithms and Using Algebraic Geometry
• Smith, Kahanpää, Kekäläinen, and Traves, An Invitation to Algebraic Geometry
• Eisenbud and Harris, The Geometry of Schemes
• Hartshorne, Algebraic Geometry

Computer algebra:

Macaulay2, Singular, Sage.

Prerequisite:

Abstract Algebra.

Homework:

Weekly homework assignments will be posted on the webpage. Grades will be based on homework and class participation.

Important Dates for Fall 2011:

Aug 22	First day of classes
Sep 5	No classes
Oct 17-18	No classes
Nov 24-25	No classes
Dec 9	Last day of classes