Fall 2013-14

**Instructor:** Dan Abramovich

**Class meeting:** Mondays, Wednesdays and Fridays at 11:00-11:50am in Kassar 205

**Office:** Kassar 118

**Telephone:** (401) 863 7968

**E-mail:** `abrmovic ( at ) math (period) brown (dot) edu`

**Web site:**
`http://www.math.brown.edu/~abrmovic/MA/f1314/251/index.html`

**Preliminary Office hours:** Monday, 2:00-3:00, Friday 10:00-10:50, or
by appointment

**Text:** ALGEBRA by Serge Lang, 3rd rev. ed. 2002. Corr. 4th printing, 2005.
ISBN: 0-387-95385-X

**Topics:** Groups and group actions; Categories and functors; Rings
and modules; Fields and Galois theory.

** Homework:**

problem set 1, due: Friday Sep 20.

problem set 2: Lang Chapter 1 ex 12, 14, 28, 29, 32, 39, 41, 42,
46. due: Monday Oct 7.

problem set 3, due: Monday Oct 21.

problem set 4, due: Wednesday Nov 20.

Presentations:

Zijian Yao's notes on solvability

Isaac Solomon's notes on Galois Cohomology

All based on Lang unless otherwise indicated.