640:551 Abstract Algebra I

Rutgers University, Fall 2025

Anders Buch (asbuch ⊗ math • rutgers • edu)

Resources:

Web sites:
Course web site: http://sites.math.rutgers.edu/~asbuch/alg551_f25/
Canvas site (homework and announcements)

Prerequisites

Algebra Boot Camp Notes

Working with tensor products

Text:
Brundan and Kleshchev: Foundations of Graduate Algebra

Lectures:
Monday and Thursday 12:10-1:30 PM in Hill 525.

Office hours:
Monday and Thursday 3PM in Hill 702.

Exams:
Midterm: Monday, October 27 in class.
Final: TBA

Assigned homework:

Homework policy. Turn problems in using Canvas.

Homework 1: Due Monday September 15.
Solve all of the following problems, then choose 5 of them to write up to perfection.
2.2.25, 2.3.6, 2.4.5, 2.4.12, 2.4.13, 2.4.15, 2.5.11, 3.3.5, 3.3.16, 3.3.32.
Homework 2: Due Monday September 22.
Solve all of the following problems, then choose 5 of them to write up to perfection.
3.4.5, 3.6.9, 3.6.12, 3.6.17, 3.6.18, 3.6.20, 3.6.22, 3.7.13, 3.7.15, 26.2.7.
Homework 3: Due Monday September 29.
Solve all of the following problems, then choose 5 of them to write up to perfection.
4.1.8, 4.1.9, 4.1.15, 4.1.17, 4.1.19, 4.1.20, 4.1.21, 5.2.4, 5.2.5, 5.2.6, 5.2.7.
Homework 4: Due Monday October 6.
Solve all of the following problems, then choose 5 of them to write up to perfection.
4.2.7, 4.2.12, 4.2.14, 4.3.3, 4.3.4, 4.3.7, 4.3.9, 4.3.15, 4.3.16, 4.3.17.
Homework 5: Due Monday October 13.
Solve all of the following problems, then choose 5 of them to write up to perfection.
Boot Camp Exercises 1.7, 2.7, 2.8, 3.9, 6.10, 6.13, 6.15, 7.3, 7.4, 8.10.