Math 6422: Algebraic Geometry II
 Website: http://people.math.gatech.edu/~aleykin3/2016-math6422/ 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 algebro-geometric 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'' (e-text available for free from the library) Instructor's notes Student activities: Homework: problem sets (exercises from the textbook) assigned every two weeks. In-class 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.