Tuesday | Thursday |
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Jan. 9
In Lecture: - No Class!
| Jan. 11
In Lecture: - Overview of the course
- The cryptography of sharing secrets
- The Weil pairing
Associated Reading: - Silverberg and Boneh on multilinear maps
- The part of Silverman's elliptic curves book about the Weil pairing.
- Miller on the Weil Pairing
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: - The part of Silverman's elliptic curves book about the Weil pairing.
- Miller on the Weil Pairing
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: - The part of Silverman's elliptic curves book about the Weil pairing.
- Miller on the Weil Pairing
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: - The part of Silverman's elliptic curves book covers of curves
- Miller on the Weil Pairing
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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