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 |

Anton Leykin 2011-08-19