The project will discuss the basics of algebraic geometry while exploring the concept of Grobner bases. We will study the existence of Grobner bases, how to compute them and a few standard applications to the geometry of algebraic varieties, such as via elimination theory. The project will illustrate the theory via computations in Macaulay2.
Instructor: Florian Enescu, Department of Mathematics & Statistics, Georgia State University
- Reference: Current Classes
- Objective: The project will teach the students the main concepts in algebraic geometry as well as given a working knowledge of Grobner bases.
- Prerequisites: Basic knowledge of groups, rings and fields.
- Meetings: Once per week: 1-2 hours
- Deadline: CLOSED
- Type: Advanced Undergraduate, Beginning Graduate, Reading, Research
- Size: 1-2 students
PROJECT CLOSED! Thank you for your interest…