Information appearing below is subject to revision until the first lecture.
Math 100A/B/C is a rigorous three-quarter introduction to the methods and basic structures of abstract algebra. Topics include: representation theory of finite groups; Galois theory of fields; applications to constructions in Euclidean geometry; solvability of polynomial equations.
Instructor: Kiran Kedlaya, kedlaya [at] ucsd [etcetera].
TA: Nik Castro, n1castro [at] ucsd [etcetera].
Lectures: MWF 9:00-9:50am in Peterson 102. No lectures on the following university holidays: Monday, May 25 (Memorial Day). Lectures will be recorded and made available via Zulip (see below).
Sections: Tue 5:00-5:50pm or 6:00-6:50pm in APM 6402. You may attend either section; however, students attending their registered section have priority in case the room is full.Office hours: TBA.
Communication: All communication regarding the course will take place on the Zulip platform; we will not be using Canvas. An invite link to Zulip will be sent to all enrolled students. You must use your UCSD email address to sign into Zulip, but you may use your preferred name and pronouns.
Prerequisites: Math 100B or consent of instructor. Students wishing to proceed from 103B to 100C should contact the instructor.
Quizzes: in class on Monday, April 20 and Friday, May 15.
Final exam: Wednesday, June 10, 8:00am-11:00am, Peterson 102. No makeup exam will be given. See UCSD exam policies as well as course-specific policies (to be added later).
Text: Algebra by Michael Artin (required). You may use any version of the text in hardcover, softcover, and eBook format. This is the same text that was used for 100A/B in fall 2025/winter 2026 and in some previous terms (which might make it easier to find a used copy). The material for 100C will be drawn primarily from chapters 10, 13, 15, and 16.
Grading: TBA.