Math 511, Algebraic Geometry I, Spring 2010
MWF, 11-11:50 a.m., 343 Altgeld Hall
My information:
Thomas Nevins
357 Altgeld Hall
217.265.6762
nevins AT illinois DOT edu
Office hours: TBA
Text:
Basic Algebraic Geometry, Volume I,
I. R. Shafarevich, second edition, Springer-Verlag.
Other references
Algebraic geometry is the geometric study of solution sets of systems of polynomial equations. In recent decades it has become a subject of
tremendous breadth as well as depth. It plays a central role in numerous developments in analytic and differential geometry, number theory, representation theory, combinatorics, string theory, and integrable systems, among others.
This will be an introduction to algebraic geometry suitable both for students specializing in the subject and for those from other subjects, including those mentioned in the previous paragraph. We will master a storehouse of examples, develop geometric intuition, and learn algebraic techniques.
Class summaries and homework assignments
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