Prerequisites: Math 250ABC, but please contact me if you are
interested and have not taken these courses

Textbook: Hartshorne, Algebraic Geometry

Syllabus: We will cover the basics of classical algebraic
geometry of affine and projective varieties defined by polynomial
equations. See also the
department syllabus.

Grading: 75% homework, 25% takehome final exam

Homework: Homework will be assigned roughly weekly

Welcome to Math 248A: Algebraic Geometry

Algebraic geometry is the study of solutions of systems of polynomials
equations. It is a classical field with a long history, which
has a close relationship to many fields of pure math, but has also recently
been applied to areas as diverse as engineering, computer
graphics, cryptography, and algebraic statistics, to name a few.
Because of the classical focus for 248A, I hope it will be accessible
to a broad audience, including applied math students.

Lecture notes

I am attempting to put together self-contained notes for the course which
could eventually replace Hartshorne, so I plan to post notes regularly
throughout the quarter. I will appreciate any feedback you can give me on
them.

Problem sets will be posted here on Wednesday, due the following Wednesday
in class. You are encouraged to collaborate with other students, as
long as you do not simply copy their answers. Beyond this, you should
not seek any external help.

There will be a takehome final exam for the course. It will be posted on
December 2, and due on December 9, by 5:00PM. Obviously,
you are not allowed to discuss it with any of your classmates or anyone
else until after you have handed it in. You may email me with questions
or concerns, but I will not give out any hints individually; if I
determine that a hint is appropriate, I will email it to everyone.