COURSE DESCRIPTION
Arithmetic geometry lies at the intersection of algebraic geometry and number theory.
Its primary focus is the analysis of diophantine equations (xn + yn = zn, for example), both from an algebraic and a geometric perspective.
See the course outline for a list of planned topics.
Note: 18.782 and 18.783 both cover material on elliptic curves, but there is essentially no overlap; the courses are complementary and may be taken in either order.
Prerequisites: 18.702.
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RECENT UPDATES
12-15-13 The notes for Lecture 26 have been updated.
12-14-13 The notes for Lecture 26 have been posted.
12-12-13 The notes for Lecture 25 have been posted. They include a section on height functions that we did not cover in class.
