CO 690: Elliptic Curves

Winter 2007

Instructor: David Jao, MC 5038, djao@math.uwaterloo.ca
Schedule: Thursdays 4:30-5:30, MC 5045

Course outline

Course description

This course is a semester long graduate level reading course on elliptic curves, with emphasis on arithmetic and number theory. The textbook for the course is Joseph Silverman's "Arithmetic of Elliptic Curves." Topics include the Riemann-Roch theorem, elliptic curve point addition, isogenies, endomorphisms, Weil pairing, curves over local and finite fields, and (time permitting) modular curves.

Participants will be expected to give lectures on in-depth topics that complement and reinforce the weekly readings.

Lecture notes

When available, notes from each meeting of the course will be posted here in electronic form.