Possible topics for student presentations in Math 720:

Structure of regular complete local rings (Cohen structure theorem)

Higher ramification groups of cyclotomic extensions

Higher ramification groups with inseparable residue fields

p^n cyclic extensions in characteristic p via Witt vectors

Proof of Hasse-Arf theorem

Introduction to etale fundamental groups

Torsors under elliptic curves

Etale cohomology as generalization of Galois cohomology

Lifting extensions of k[x] from characteristic p to characteristic 0

Back to Math 720 webpage.