Overview
Algebraic geometry is both old and amazingly active. In this course the goal is to become acquainted with the basics, affine and projective varieties, while keeping an eye on modern tools, such as moduli, and fun applications, such as enumerative geometry and number theory.Instructor
Dagan KarpOffice: Shan 3414
Office hours: Tuesday 3:004:00 p.m., and open door
Lectures
This course will meet Monday and Wednesday, 1:152:30pm in Shanahan room 3421.Inquiry Based Learning
This course will be centered on an IBL approach to algebraic geometry. Students, rather than the professor, will do most of the talking in class. Much of classtime will be reserved for student presentations of solutions to problems.Textbook
We'll use Algebraic Geometry: A Problem Solving Approach by Garrity et al.Other good resources include Fulton's Algebraic Curves, An Invitation to Algebraic Geometry by Karen Smith, and the graduate texts (two distinct texts with the same title) Algebraic Geometry by Joe Harris and Robin Hartshorne.
Course Binder
Each student will maintain a binder, into which hardcopy solutions to problems will be archived. A central goal of the course is to create your own algebraic geometry textbook, in some sense, through your solutions to the problems in the text. The first page of the binder should consist of a three column list, where you record each problem that you work on, weather it was solved or attempted, and whether or not you received help in the form of collaboration.Exam
There will be one midterm. It will be inclass on Wednesday, October 17.Grading
Class Participation 35%
Midterm 20%
Final project 10%
Homework
Written homework will be due on Mondays, with the goal of presenting solutions in class, and keeping a hardcopy LaTeX in your binder. Here are some useful tips for LaTeX homework formatting.LaTeX
Students must use LaTeX for binder problems.Disabilities
It is the policy of The Claremont Colleges to accommodate students with temporary or permanent disabilities. Any student with a documented disability who requires reasonable accommodations should contact Deborah Kahn, Coordinator for Student Disability Resources at (909) 6073148 or dkahn@hmc.edu, as soon as possible. Students from the other Claremont Colleges should contact their home college's disability officer.Old Course Notes
 Week 1 Class 1
 Week 2 Class 2 Class 3
 Week 3 Class 4 Class 5
 Week 4 Class 6 Class 7
 Week 5 Class 8 Class 9
 Week 6 Class 10 Class 11
 Week 7 Class 12 No Class Wed. (SACNAS)
 Week 8 No Class Mon. (Fall Break) Class 13
 Week 9 Class 14 Class 15 All Groupwork
 Week 10 Class 16 Class 17
 Week 11 Class 18 Class 19 (Special class for the election)
 Week 12 Class 20 Class 21
 Week 13 Class 22 (and Thxgiving)
 Week 14 Class 23
Homework

Read Sections 4.1 and 4.2. Problems 4.1.3, 4.1.5, 4.1.6, 4.1.8, 4.2.1, 4.2.2, 4.2.5 
Read Sections 4.2 and 4.3. Problems 4.2.14 (2), 4.2.15, 4.2.18, 4.2.19, 4.2.20, 4.3.3, 4.3.4 
Read Sections 4.4 and 4.5. Problems 4.4.3, 4.4.4, 4.4.5, 4.4.6, 4.5.1, 4.5.15, 4.5.16, 4.5.17 
Read Sections 4.6 and 4.7. Problems 4.7.2, 4.7.3, 4.7.6, 4.7.7, 4.7.9, 4.7.10, 4.7.13, 4.7.14. 
Binder Check: Bring your binders to class on Monday. 
No Class 
Read Sections 4.8 and 4.9. Problems 4.8.1, 4.8.3, 4.8.4, 4.9.3, 4.9.4, 4.9.8, 4.9.9. 
Wed Oct 17: Midterm 
Mon Oct 22: No HW (Fall Break) 
Read Sections 4.10 and 4.11. Problems 4.11.2, 4.11.3, 4.11.7, 4.11.10, 4.11.11, 4.11.12, 4.11.14. 
Read Sections 18.1 (not 18.2) and 19. Problems 18.5, 19.1, 19.2, 19.3, 19.4, 19.5, 19.6, 19.7, 19.8, 19.10. 
Read Sections 1.11.5. Problems 1.1.18, 1.2.13, 1.2.22, 1.3.7, 1.4.7, 1.4.9, 1.4.19, 1.5.2. 
Read Sections 1.6, 1.9, 1.10, 1.11, 1.12 Problems 1.9.4, 1.9.8, 1.10.2, 1.10.4, 1.10.5, 1.11.2, 1.12.3. 
Read Sections 2.12.3, 3.13.3, 3.5, 3.6 Problems 2.2.11, 2.3.5, 2.3.7, 3.3.30, 3.5.11, 3.5.17, 3.5.33, 3.6.35, 3.6.54. 
Due Mon Dec 10: Oral Presentation. Give a 5 minute oral presentation on your chosen topic in, or application of, algebraic geometry which hasn't been covered in the course. Your talk should use roughly 5 slides. Submit your slides to your dropbox in Sakai by 10am on Monday, December 10. Due Wed Dec 12: Written exposition. Write a 25 page paper describing a topic in algebraic geometry. Your piece should be written as though it could be included seamlessly in a future edition of a text book, and you must use at least one outside source (aside from wikipedia). Your paper must be typset in latex. 
Complete binders due Wednesday, December 19 by 5pm to Prof Karp's office. 