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: Monday 45 p.m., and open door
Lectures
This course will meet for lectures Monday and Wednesday, 1:152:30pm in Shanahan room 3465.Textbook
We'll use Undergraduate Algebraic Geometry by Miles Reid.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.
Grading
Final project 20%
Homework
Written homework will be due Wednesdays, and is posted below. Here are some useful tips for LaTeX homework formatting.Portfolio Problems
The last problem on each assignment (aside from HW1) is a portfolio problem. This problem will generally be much more involved and will allow for creative freedom in approach. The written work for the portfolio problem will consist of reflection as well as mathematical analysis. The goal is to help you understand your own creative process, how you synthesize and create knowledge, and how you approach mathematics. Specific components and grades are as follows: 10 Points. Submit every piece of writing related to your work on this problem. This includes scrap work, scratch work, and erased work, as well as polished proofs, conjectures, special cases and computations. This also includes joint work.
 35 Points. A minimum three page single spaced 12 point reasonably margined write up summarizing the process you used along the way. Respond to at least three of the items on the rubric of Savic et al. Use evidence from your work, as submitted above, to justify your use of the item in the rubric.
 15 Points. A summary of the results proven for the given problem, including proofs of special cases, computations, or a complete write up of the full solution. This will be graded for clarity, notation, narrative, context and mathematical coherence.
Critical Readings
In addition to the written homework, suggested readings will be posted on the homework page in conjunction with upcoming lectures.Create a google document titled m176_f16lastname, which will serve as a journal, and share it with my dkarp@g.hmc account. (If you prefer latex, please create an appropriately named folder instead.) Before each lecture, read the assigned material, and in your journal write one or two questions and/or comments. A brief note consisting of one or two sentences, saved the night before class is ideal.
The goals of the critical reading exercises are manifold: to better the student's independent intake of mathematical exposition, to train in independent learning, to increase the interactive nature of the course (by allowing the instructor to respond to the questions and comments), and to make the course more tailored to the specific curiosities of the class as a whole.
LaTeX
Students interested in using LaTeX are encouraged to do so, but it is not required.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.Social Justice Demonstrations
The mission of Harvey Mudd College is to prepare leaders who understand the impact of their work on society. Our institution is a vibrant part of that society, and we might be affected by the violence in our world and the tumult of this political season. Social justice demonstrations are likely to occur at the Claremont Colleges this year, and we understand that some students may wish to take part in these activities. Therefore, we are willing to accommodate your reasonable participation in such events, so long as you coordinate with your instructor in advance, ideally at least 24 hours before the affected class meeting time or due date.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 and Critical Readings












