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MA951 - Graduate Algebra

Lecturer: Marco Schlichting

Term(s): Term 1

Commitment: 30 lectures

Assessment: Oral exam

Prerequisites: Familiarity with topics from 2nd year undergraduate algebra modules such as MA251 and MA249

Content : The goal of the module is to provide an opportunity to (re-)visit undergraduate material in algebra from a graduate perspective allowing the students to fill in gaps and broaden their knowledge. We will cover material from commutative and non-commutative ring theory, module theory, Galois theory, representation theory of finite groups, and if time permitting, multi-linear algebra, and some homological algebra.

If you are familiar with the topics above but still would like to take Graduate Algebra, I might consider teaching at the same time an advanced version on, say, homological algebra covering derived functors, spectral sequences, cohomology of groups, derived categories etc. Last year, the advanced version was an introduction to algebraic K-theory. Please send me an email if you are interested. The exam will be based on your choice of either the material above or the advanced material.

Format: All lectures will be online on MSTeams. There are 2 scheduled synchronous lectures per week (Tuesdays and Thursdays 12-1) and 1-2 (as yet unscheduled) (a)syncronous lectures per week. The first meeting will be on Tuesday 6 October 12-1. All lectures will be recorded and made available to the class.

References: Lang "Algebra", and Dummit and Foote "Abstract Algebra"

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