Tuesday and Thursday 8:30 - 9:45 am in SAS 1220

Instructor: Cynthia Vinzant (3260 SAS, email)
Offce Hours: Monday, Wednesday 1 - 2pm or by appointment
Textbook: B. Hassett, Introduction to Algebraic Geometry, Cambridge University Press (errata)
Syllabus

Exam: There will be an in class midterm on Tuesday, October 4th. Solutions

Final Project: Students will complete a project on a topic related to algebraic geometry, consisting of a poster presentation on Dec. 13 and a final paper due the same day. Further details and suggested topics are here.

Topics:
Jane Coons: Stanley-Reisner Rings
Katherine Harris: Elliptic Curve Cryptosystems
Samantha Kirk: Twenty-seven lines on a cubic surface
Brittany Riggs: The Combinatorial Nullstellensatz
Michael Ruddy: Bertini's Theorem
Xingjian Yu: Algebra in Computer Vision

Homework
Here are guidelines for writing up your homework (prepared by Seth Sullivant).
Homework 1 (.pdf .tex) due Thursday, September 1
Homework 2 (.pdf .tex) due Thursday, September 8
Homework 3 (.pdf .tex) due Thursday, September 15
Homework 4 (.pdf .tex) due Thursday, September 22
Homework 5 (.pdf .tex) due Thursday, September 29
Homework 6 (.pdf .tex) due Thursday, October 20
Homework 7 (.pdf .tex) due Thursday, October 27
Homework 8 (.pdf .tex) due Thursday, Novemeber 3
Homework 9 (.pdf .tex) due Thursday, Novemeber 10
Homework 10 (.pdf .tex) due Thursday, Novemeber 17

Software
Macaulay2 (Examples from class)
Maple
Singular (try online)
Mathematica

Extra resources and reading
Ideals, Varieties, and Algorithms, by Cox, Little, and O'Shea
What is a Grobner Basis?, by Bernd Sturmfels