Course Description and Grading BreakdownThis course will cover the basics of affine and projective varieties from the classical viewpoint, before moving on to the theory of schemes. The grade will be based entirely on homework, to be handed in weekly. PrerequisitesThe main prerequisite is a working knowledge of modern algebra, especially the theory of rings and modules. Previous exposure to commutative algebra would be helpful, but will not be assumed. Some familiarity with category theory will, however, be necessary. Course Meeting Time and LocationMonday, Wednesday and Friday 1:00 - 1:55 pm 255 Linde Course Instructor Contact Information and Office HoursDr. Justin Campbell 206 Kellogg Office hours: by appointment Notes and TextbooksThe course will very loosely follow Chapters I and II of Hartshorne's book. Other good resources are the book Algebraic Varieties by George Kempf, Ravi Vakil's notes, and James Milne's notes.Lecture notes: Course PoliciesLate work - I may give homework extensions on a case-by-case basis if the situation warrants it. Last-minute requests are unlikely to be granted. Assignments
Collaboration Table
* You may use a computer or calculator while doing the homework, but may not refer to this as justification for your work. For example, "by Mathematica" is not an acceptable justification for deriving one equation from another. Also, since computers and calculators will not be allowed on the exams, it's best not to get too dependent on them. |