Instructor: Y.P. Lee, JWB 305
Office Hours:
MW 1111:50 + any time my office door is open.
Class Time.
Fall: MWF 12:5013:50 and Tue 14:0015:00.
Spring: MWF 12:5013:50 and
Tue 14:3015:30.
(Usually lectures on MW and problem sessions on TF.)
Classroom.
Fall: JWB 308.
Spring: LCB 225 (MWF) and LCB 222
(Tue)
Course Website: http://www.math.utah.edu/~yplee/teaching/ag/
Text: Algebraic Geometry by Robin Hartshorne.
Also recommended: The Red Book of Varieties and Schemes by
David Mumford.
Official Course Numbers.
Fall: 61301 (24488),
Spring: 61401 (13000).
Course Description: This will be a 2semester series of Introduction to Algebraic Geometry. The first two chapters of the textbook will be the focus of the first semester. Chapter 3 (and hopefully more) will be covered in the second semester.
There will be 2 hours of lectures and 2 hours of problem sessions per week. Because I believe strongly in active learning, the problem sessions will be the core of the class. The pace of the lectures will be generally brisk and the students are expected to work hard outside the classroom. The participants of the lectures should plan to study at least 1 hour per lecture to keep up with the class. Those who plan to participate in the problem sessions should expect to invest a lot more (and perhaps learn a lot more in return)!
Regarding Commutative Algebra: My policy on the purely algebraic results is consistent with the textbook. Namely, these results will be quoted as needed, with references to the literature for their proofs. My suggestion to the students, if they have not seen these results before, is to skip back and forth between the textbook (or course notes) and books on commutative algebra, using the geometric examples to enrich the algebra, and the cleancut algebraic techniques to clarify the geometry. Nevertheless, it is very useful to have basic working knowledge of commutative algebra, at the level of Introduction to Commutative Algebra by Atiyah and Macdonald, before plunging into Hartshorne's book.
Prof. Paul Roberts is teaching a class on commutative algebra, using the textbook by Matsumura. Students are encouraged to take his class concurrently.
Homework:
Problem solving is vital for this class.
We will try to work on as many problems as possible from the textbook.
I will actively seek groups of volunteers to report their solutions in the
problem sessions.
(Hints to some problems are available upon request.)
Exams: No exam.
Grading Policy: In accordance with the departmental tradition, A is
given to all registered students.
Erin 
Yoshi 
Qiang 
Joro 
Mike 
Sarah 
Kazuma 
1.13 
1.46 
1.79 
1.1012 
1.1315 
1.1618 

1.1921 
2.12, 15 
2.35 
2.68 
2.911 
2.1214 
2.1719 
2.16, 3.12 
3.34, 6 
3.79 
3.10, 1213 
3.1416, 
3.18, 20 
3.5, 11, 17, 19 
3.2123 
4.13 
4.4, 67 
4.810 
4.12; 5.12 
5.34 
4.5, 11 
5.56 
5.78 
5.910 
5.1112 
5.1314 

5.15 
5.16 
5.17 
5.18 
6.1 
6.4 

6.6 
6.8 
6.10 
6.12 
7.4 
6.9,11 

7.13 
7.57 
7.8,9,10(a,b,d) 
7.11,12,14 

8.12 
8.35 
8.68 
Erin 
Yoshi 
Qiang 
Joro 
Mike 
Sarah 
Kazuma 
2.1(a),2.2 
2.3 
2.4 
2.56 
2.7 
3.1 

3.23 
3.4 
3.5 
3.6(a,c) 
3.7 
4.1 

4.23 
4.45 
4.67 
4.8(a,b,c,e),4.9 
4.11 
