## Math 248A - Algebraic Geometry Fall 2017

Instructor: Brian Osserman

Lectures: MWF 3:10-4:00pm, Veihmeyer Hall 116

CRN: 63020

Office: MSB 3218, e-mail:

Office Hours: Tu 1-2 PM

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

Textbook: Hartshorne, Algebraic Geometry, and my lecture notes.

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 polynomial 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. I will appreciate any feedback you can give me on them.

Lecture notes for the course.

### Problem sets

Problem sets will be posted here on Wednesdays, due the following Wednesday in class. Generally speaking, you may cite earlier exercises without proof, but should not forward reference. If you are unsure if you should use something, please ask. 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.

### Final Exam

There will be a takehome final exam for the course. It will be due on December 13, 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.