This reading course will be an invitation into the beautiful subject of algebraic geometry. Roughly speaking, algebraic geometry is a dictionary between solutions of polynomials equations (geometry) and the relations among the polynomials themselves (algebra). This reading course aims to develop the basic geometric objects of algebraic geometry (affine varieties) and their algebraic counterparts (coordinate rings), thereby providing students with a foundation to study more advanced topics in algebraic geometry.
Instructor: Dusty Ross, Department of Mathematics, San Francisco State University
- Reference: The primary reference is freely available here: Algebra & Geometry: A First Course on Varieties by Emily Clader and Dustin Ross
- Objective: This reading course will cover Chapter 0-5 of the reference listed above. If time and energy remains, additional topics can be discussed.
- Prerequisites: Students should have taken a first course in algebra, including rings, ideals, quotients, and the first isomorphism theorem.
- Meetings: Students will meet with the instructor once per week early September to mid December. If more than one student participates, they will be encouraged to meet separately once or twice each week.
- Deadline: CLOSED
- Types: Advanced Undergraduate, Beginning Graduate
- Size: 3 Students
Mentored Reading Program 