Algebraic Geometry

Course Description and Grading Breakdown
This course will cover the basics of affine and projective varieties from the classical viewpoint, before moving on to the theory of schemes.

The grade will be based entirely on homework, to be handed in weekly.


Prerequisites
The main prerequisite is a working knowledge of modern algebra, especially the theory of rings and modules. Previous exposure to commutative algebra would be helpful, but will not be assumed. Some familiarity with category theory will, however, be necessary.


Course Meeting Time and Location
Monday, Wednesday and Friday
1:00 - 1:55 pm
255 Linde


Course Instructor Contact Information and Office Hours
Dr. Justin Campbell
206 Kellogg

Office hours: by appointment


Notes and Textbooks
The course will very loosely follow Chapters I and II of Hartshorne's book. Other good resources are the book Algebraic Varieties by George Kempf, Ravi Vakil's notes, and James Milne's notes.

Lecture notes:


Course Policies
Late work - I may give homework extensions on a case-by-case basis if the situation warrants it. Last-minute requests are unlikely to be granted.


Assignments
 Date PostedAssignment Due Date  Solutions
 10/5  Problem Set 1 10/12 Problem Set 1 Solutions
 10/13 Problem Set 2 10/19 Problem Set 2 Solutions
 10/20 Problem Set 3 10/26 Problem Set 3 Solutions
 10/27 Problem Set 4 11/2 Problem Set 4 Solutions
 11/4 Problem Set 5 11/9 Problem Set 5 Solutions
 11/10 Problem Set 6 11/16 Problem Set 6 Solutions
 11/17 Problem Set 7 11/26 Problem Set 7 Solutions
 12/1 Problem Set 8 12/7 


Collaboration Table
 HomeworkExams
You may consult:  
Course textbook (including answers in the back)YESYES
Other booksYESNO
Solution manualsNONO
InternetYESNO
Your notes (taken in class)YESYES
Class notes of othersYESNO
Your hand copies of class notes of othersYESYES
Photocopies of class notes of othersYESNO
Electronic copies of class notes of othersYESNO
Course handoutsYESYES
Your returned homework / examsYESYES
Solutions to homework / exams (posted on webpage)YESYES
Homework / exams of previous yearsNONO
Solutions to homework / exams of previous yearsNONO
Emails from TAsYESNO
You may:

Discuss problems with othersYESNO
Look at communal materials while writing up solutionsYESNO
Look at individual written work of othersNONO
Post about problems onlineNONO
For computational aids, you may use:

CalculatorsYES*NO
ComputersYES*NO

* You may use a computer or calculator while doing the homework, but may not refer to this as justification for your work.  For example, "by Mathematica" is not an acceptable justification for deriving one equation from another.  Also, since computers and calculators will not be allowed on the exams, it's best not to get too dependent on them.

Ċ
agps1.pdf
(99k)
Justin Campbell,
Oct 8, 2018, 5:41 PM
Ċ
Justin Campbell,
Oct 13, 2018, 1:32 PM
Ċ
agps2.pdf
(106k)
Justin Campbell,
Oct 13, 2018, 1:10 PM
Ċ
Justin Campbell,
Oct 22, 2018, 10:54 AM
Ċ
agps3.pdf
(92k)
Justin Campbell,
Oct 24, 2018, 3:02 PM
Ċ
Justin Campbell,
Oct 31, 2018, 11:00 AM
Ċ
agps4.pdf
(135k)
Justin Campbell,
Oct 27, 2018, 5:41 PM
Ċ
Justin Campbell,
Nov 5, 2018, 9:38 AM
Ċ
agps5.pdf
(120k)
Justin Campbell,
Nov 4, 2018, 9:13 AM
Ċ
Justin Campbell,
Nov 12, 2018, 3:35 PM
Ċ
agps6.pdf
(118k)
Justin Campbell,
Nov 15, 2018, 8:22 PM
Ċ
Justin Campbell,
Nov 19, 2018, 2:15 PM
Ċ
agps7.pdf
(68k)
Justin Campbell,
Nov 17, 2018, 9:13 AM
Ċ
Justin Campbell,
Dec 1, 2018, 10:35 AM
Ċ
agps8.pdf
(98k)
Justin Campbell,
Dec 1, 2018, 11:47 AM
Ċ
Justin Campbell,
Oct 31, 2018, 2:22 PM
Ċ
Justin Campbell,
Dec 7, 2018, 11:58 AM