Information

Schedule

RAs are due at 6:00am PT. Everything else is due at 11:59pm PT.

W Mon Wed Fri
1

Introduction

Class: Slides

Ring Theory Basics

Class: Slides
Due: RA/w1wed

Single Variable Polynomials

Class: Slides
Due: RA/w1fri, MA
2 (MLK Day)

Multivariable Polynomials

Class: Slides
Due: RA/w2wed

Affine and Projective Spaces

Class: Slides
Due: RA/w2fri, WR
3 Quiz 1

Affine Varieties

Class: Slides
Due: RA/w3wed

(Class Canceled)

Due: RA/w3fri, WR
4

Polynomial Maps

Class: Slides

Catch Up

Class: Slides

Monomial Orders

Class: Slides
Due: RA/w4fri, WR
5 Quiz 2

Multivariable Division

Class: Slides
Due: RA/w5wed

Monomial Ideals

Class: Slides
Due: RA/w5fri, WR
6 Quiz 3

Gröbner Bases

Class: Slides
Due: RA/w6wed

Buchberger’s Algorithm

Class: Slides
Due: RA/w6fri, WR
7 (Presidents’ Day)

Affine Nullstellensatz

Class: Slides
Due: RA/w7wed

Affine Hilbert Function 1

Class: Slides
Due: RA/w7fri, WR
8

Affine Hilbert Function 2

Class: Slides

Catch Up

Class: Slides

Projective Varieties

Class: Slides
Due: RA/w8fri, WR
9 Quiz 4

(De)Homogenization

Class: Slides
Due: RA/w9wed

Projective Nullstellensatz

Class: Slides
Due: RA/w9fri, WR
10

Projective Hilbert Function

Due: RA/w10mon
Bézout’s Theorem

(Work Day)

Due: Project, FR
7 Quiz 5