Algebraic Geometry Perugia 2019


Instructor: Chris Peterson
Teaching Assistant: Michael DiPasquale
Draft of course notes
Slides on Numerical Algebraic Geometry
Slides on Data Analysis: Digital Pictures

Helpful Resources

• Bases for infinite dimensional vector spaces (notes by Karen Smith).
• Kempe's universality theorem (Wikipedia article).
• Generalizations of Kempe's universality theorem (Master's thesis of Timothy Good Abbott).
• Chebatorev's density theorem (Wikipedia article).
• Universally optimal distributions of points on spheres (Article on sphere packings)
• Packing lines, planes, etc.: packings in Grassmannian spaces (Article on packings in Grassmannians)

Getting started with some computer programs for algebraic geometry:

• Setting up Macaulay2
• Macaulay2 scripts

Problem Sets

• Problem Set 1
• Problem Set 2
• Problem Set 3
• Problem Set 4
• Problem Set 5
• Problem Set 6
• Problem Set 7

Final Exam and Final Projects

• Review Sheet for Final Exam
• Final Projects