I'll also photocopy a few chapters out

and collect it the following Tuesday. No late HW.

Click here for the assignments.

- quick review of polynomial rings
- field extensions and algebraic numbers
- fundamental theorem of algebra
- splitting fields
- constructible numbers
- The Galois Isomorphism Theorem
- solvability by radicals
- finite fields
- transcendence of e and Pi; Lindemann's Theorem
- projective geometry; homogeneous polynomials.
- group law for elliptic curves over Q
- topology of elliptic curves over C
- A primer on complex analysis
- Weierstrass uniformization
- Lenstra's elliptic curve factoring algorithm
- linear error-correcting codes and finite fields
- Golay's (24,12) code and the Miracle Octad Generator

- algebraic integers
- Liouville numbers
- constructing the regular 17-gon
- approximating pi
- notes on solvability
- transcendence of e
- transcendence of pi & Lindemann's Theorem
- projective curves
- A case of the Cayley-Bacharach Theorem
- A primer on Complex Analysis
- Weierstrass uniformization I
- Weierstrass uniformization II
- error correcting codes