Graduate Course: Galois Modules

Time and Location

• Tuesdays and Thursdays 10am, MR11

Lecture Notes

• Complete lecture notes.
• These are a little unpolished, but I hope to spend some time improving them around the end of March. So please do email me with comments or corrections.

General References

• Expository notes on Algebraic Number Theory (Keith Conrad)
• Lecture notes on Algebaric Number Theory (James Milne)
• Lecture notes on Class Field Theory (James Milne)
• The Kronecker-Weber theorem (Eknath Ghate)
• Local Fields (includes a proof of the Kronecker-Weber Theorem) (Peter Stevenhagen)
• For more general references, see Online notes of interest to number theorists (and others)

References on Galois modules

• On the Galois module structure of extensions of local fields by Lara Thomas
• On realizable classes by Andrea Siverio
• L-functions and Galois modules (CUP online)
• Galois module structure of rings of integers (CUP online)
• Relative galois module structure of rings of integers (Springerlink)