In Spring 2020, I am teaching Commutative Algebra, MTH423.

Venue: LHC 304.
Times: Tue 9:00 - 9:55, Wed 16:00 - 16:55, Fri 9:00 - 9:55.
Office hours: Tue 15:00 - 17:00 or by appointment.
Text Books: Commutative Algebra by Atiyah & MacDonald (At-Mac); Algebraic Geometry and Commutative Algebra by Bosch (Bos).
Midsem: 10-12 hrs, 27 February, Thursday.

I find J. S. Milne's lecture notes to be an excellent resource for this course. Check this place for regular updates.

Date Topic Problems
1 3 Jan (F) Commutative rings and ring homomorphisms.
2 7 Jan (T) Prime and Maximal ideals. PS-1: (At-Mac Ch 1) 1 — 5, 9 — 12, 15 — 19.
3 8 Jan (W) Nilradical, Jacobson radical and Operatins on ideals.
4 10 Jan (F) Chinese remainder theorem, Extension and Contraction of ideals.
5 14 Jan (T) Modules and Module Homomorphisms
6 15 Jan (W) Finitely generated modules, Nakayama's Lemma
7 17 Jan (F) Exact sequences and split exact sequences
8 21 Jan (T) Tutorial on PS-1
9 22 Jan (W) Snake lemma and further properties of exact sequences PS-2: (Bos 1.4) 4 — 6; (Bos 1.5) 1, 3, 5; (At-Mac Ch2) 1 — 13.
10 24 Jan (F) Tensor Product of Modules
11 28 Jan (T) Exactness propoerties of tensor product
12 29 Jan (W) Algebras
13 31 Jan (F) Test 1
14 4 Feb (T) Tutorial on PS-2
15 5 Feb (W) Localisation PS-3
16 7 Feb (F) Localisation
17 11 Feb (T) Integral Extensions
18 12 Feb (W) Integral Extensions
19 14 Feb (F) Valuation Rings
20 18 Feb (T) Tutorial on PS-3

Semester Projects

Courses I have taught previously