Website: http://people.math.gatech.edu/~aleykin3/2016math6422/
Instructor: Anton Leykin
 Contact: leykin@math.gatech.edu
 Skiles 109
 Office hours: Mon 4pm, Tue/Thu 2pm, or by appointment
When and where:
1:05 pm  1:55 pm, MWF,
Skiles 169
Description:
This course is an introduction to the subject from a computational angle. The main focus will be on concrete construction of affine and projective varieties, constructive proofs of basic theorems, and theory behind the algorithms used to manipulate various algebrogeometric objects. Two computational gadgets will play a prominent role: Groebner bases (a symbolic exact technique) and polynomial homotopy continuation (a numerical approximate technique).
Text:
 Parts of Cox, Little, O'Shea, ``Using algebraic geometry'' (etext available for free from the library)
 Instructor's notes
Student activities:
 Homework: problem sets (exercises from the textbook) assigned every two weeks.
 Inclass exercises: problems solved and discussed in class in small groups.

There will be no exams.
Software:
 Free software: Macaulay2 (recommended), CoCoA, Singular, Sage.
 Commercial software: Mathematica, Maple.
