An incursion into algebraic geometry via Grobner bases


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…

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