Fall 2017 - Modern Algebra II

“As I see it, the graduate course in algebra must primarily prepare students to handle
the algebra which they will meet in all of mathematics:  topology, partial differential
equations, differential geometry, algebraic geometry, analysis, and representation
theory, not to speak of algebra itself and algebraic number theory with all its ramif-
ications.”
                                    --Serge Lang in the foreword to Algebra

“A beginning is the time for taking the most delicate care that the balances are correct”

                                    --from Manual of Muad'Dib by the Princess Irulan

Announcements:

• Here is a short write-up on the conjugacy classes of 2x2 matrices.
• Here are the slides from Monday's lecture on factorization.
• Here's a note on the constructive proof of Bézout's Lemma that we discussed in class.  And here's the handout on the units in Z₄[x]. 

Course Links