Math 702 schedule

Tuesday Thursday
Jan. 9

In Lecture:
  • No Class!
Jan. 11

In Lecture:
  • Overview of the course
  • The cryptography of sharing secrets
  • The Weil pairing

Associated Reading:
Video of class (downloadable)
Jan. 16

In Lecture:
  • Review of the theory of curves

Associated Reading:
  • Hartshorne, Chapter 1 on constructing curves from valuations on their function fields
  • The part of Silverman's elliptic curves book about curves

Video of class (downloadable)
Jan. 18

In Lecture:
  • Review of elliptic curves
  • The Weil pairing

Associated Reading:
Video of class (downloadable)
Jan. 23

In Lecture:
  • Proof of Weil reciprocity

Associated Reading:
  • Hartshorne, Chapter 1 on constructing curves from valuations on their function fields
  • The part of Silverman's elliptic curves book about curves

Video of class (downloadable)
Jan. 25

In Lecture: (Meeting at 9:00 AM in 4N30)
  • Miller's algorithm for computing the Weil pairing

Associated Reading:
Video of class (downloadable)
Jan. 30

In Lecture:
  • Miller's algorithm, continued

Associated Reading:
Video of class (downloadable)
Feb. 1

In Lecture: (Meeting at 9:00 AM in 4N30)
  • End of the discussion of Miller's algorithm
  • Covers of curves

Associated Reading:
Video of class (downloadable)
Feb. 6

No class!
Feb. 8

In Lecture: (Meeting at 9:00 AM in 4N30)
  • Covers of curves, Hurwitz Theorem
  • Galois theory over function fields of elliptic curves

Associated Reading:
  • The part of Silverman's elliptic curves book covers of curves

Video of class (downloadable) - to be posted.

Last updated: 2/2/18
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