Lecture timetable
Mon 16:00 in MA B1.01 from Mon 8th Jan 2024
Thu 14:00 in MA B1.01
Fri 10:00 in MA B3.01
Support class: Fri 14:00 in B3.01 from Fri 19th Jan 2024
with TA Marc Truter <Marc.Truter@warwick.ac.uk>
Partial lecture notes 2024
2024 Lecture 1
Dedekind and Weber 1882
Chap 5 of course notes, Weeks 6-8
2024 Worksheets
Worksheet_0 on prerequisites
Worksheet_1 Assignment deadline Mon 29th Jan at 12:00
Worksheet_2 Assignment deadline Mon 12th Feb at 12:00
Worksheet_3 Assignment deadline Mon 11th Mar at 12:00
Worksheet_4 Assignment deadline Mon 25th Mar at 12:00
Write-up of Autumn 2022 lectures by Alexandros Groutides
Chapter 5 Regular sequences, the Koszul complex and regular local rings
Chapter 6 Cohen-Macaulay and Gorenstein rings
Chapter 7 Appendix on homological algebra
Lecture notes from Autumn 2022
Week1
Week2
Week3
Weeks4-5
Week6
Lecture 17 Part I
Lecture 17 Part II
Lecture 18 Part I
Lecture 18 Part II
Here is the
Warwick UG Handbook entry.
Lecture capture
To catch up on missed lectures (a few hours after they happen)
click on the Echo 360 Lecture Capture block on the right
of this
Moodle page
Last year's notes
The information below refers to the course given in 2021-22.
Plans
My initial plans for the course
Lect 1
What is commutative algebra? [Sorry, no lecture capture.]
Lect 2
Dedekind domain, Existence of primes [Sorry, I forgot to
wear the microphone for first 45 minutes.]
More on DVRs
Further discussion and exercises on Discrete valuation rings.
Lect 3
First ideas on Spec A and the Zariski topology
Lect 4-5
Varieties versus Spec A. Chain conditions
Lect 6
Finite length modules. An Artinian ring is Noetherian
Lectures 7-10. Completion and Hensel's Lemma
Lect 12-14
Dimension theory. Graded rings and modules and their Hilbert series
Lect 15-17
Hilbert-Samuel functions and the main theorem of dimension theory
Lect 18-22
Syzygies and regular sequences
Lect 25-29
Ext and depth - preliminary draft
Homework sheets
There will be 4 Assessed worksheets, with submission deadlines 12:00 noon on
Week 3 Fri 22nd Oct
Week 5 Fri 12th Nov
Week 7 Fri 26th Nov
Week 10 Fri 9th Dec
Example sheet 1
Questions 1,8 and 11 are assessed questions.
Solution
to Q10
Example sheet 2
Assessed questions from Example sheet 2
Example sheet 3
Example sheet 4
Additional resources
Download
Marco Schlichting's 2013 notes