Mathematics 574 (Spring 2019) Information

References and guide to the literature

Weekly assignments

Week 7

Text Readings: Silverman, Chapter VI
Week 7 Problem set 7 - PDF file

Week 6

Text Readings: Silverman, Chapter VI
Week 6 Problem set 6 - PDF file

Week 5

Text Readings: Silverman, Chapter I, II, III (sections 1-3)
Week 5 Problem set 5 - PDF file
Week 5 expository reading:
- Read Jeremy Gray's history of the Riemann-Roch theorem.

Week 4

Text Readings: Silverman, Chapter I, II
Week 4 Problem set 4 - PDF file

Week 3

Text Readings: Silverman, Chapter I, II
Week 3 Problem set 3 - PDF file
Solution set 3
Week 3 expository reading:
- Read about the evolution of elliptic curves.

Week 2

Text Readings: Silverman, Chapter I, II
Week 2 Problem set 2 - PDF file
Solution set 2
Week 2 expository reading:
- Read an expository article by Silverman about elliptic curves.

Week 1

Text Readings: Silverman, Chapters I, II
Week 1 Problem set 1 - PDF file
Solution set 1
Week 1 expository reading:
- Read an informal discussion of some ways that elliptic curves arise in number thory.
- Peruse Elkies' list of elliptic curves in nature.