Module: MA4J8 Commutative Algebra II
Lecturer: Miles Reid
Support class times: 12:00 am Friday
Location: D1.07 (mostly)
Assignment deadlines and questions (submit on Moodle)
Assignment 1: Mon 27th Jan 12:00 (Week 4)
Assessed questions: Part 1 - 2. (localisation) 4. (Noetherian) Part 2 - Q2. (height) Q7. (DVR)
Assignment 2: Mon 10th Feb 12:00 (Week6)
Assessed questions: Exam Q2 part (1) (find associated primes), Exam Q3 part (2) (completion homomorphisms), Exam Q3 part (3) (completion)
Assignment 3: Mon 24th Feb 12:00 (Week 8)
Assessed questions: Past exam question Q4, Assorted questions Q5, Assorted questions Q11
Assignment 4 : Mon 10th Mar 12:00 (Week 10)
Assessed questions: Q1 (ideals of Dedekind domain projective), Q2 (Hilbert series), III.1 (prove Ext well defined)
Replacement Lecture
Week 6 Thursday: Syzgies and the Hyperplane section theorem
Support Class Schedule
Week 2: Exact sequences
Week 3: Localisation
Week 4: Hilbert Series and Order of Growth
Week 5: I-adic Completion
Week 6: Dimension Theory
Week 7: Chain Complexes I: Homology, Cohomology and Resolutions
Week 8: Chain Complexes II: Tor and Ext Examples, Syzygies and Regular Sequences
Week 9: Chain Complexes III: Koszul complexes
Week 10: Gorenstein and Cohen-Macaulay
Module: MA4A5 Algebraic Geometry
Lecturer: Rohini Ramadas
Support class times: 11:00 am Wednesday
Location: A1.01
Support Class Schedule
Week 2: Introduction to Algebraic Geometry
Week 3: Zariski Topology
Week 4: Dimension
Week 5: Coordinate rings and maps
Week 6 and 7: MaxSpec and Spec
Week 8: Projective varieties
Week 9: Quasiprojective varieties
Week 10: Regular functions
Module: MA4J8 Commutative Algebra II
Lecturer: Miles Reid
Support class times: 2:00 pm Friday
Location: B3.01
Assignment deadlines and questions (submit on Moodle)
Assignment 1: Mon 29th Jan 12:00 (Week 4)
Assessed questions: 2. (primes) 4. (Noetherian) 7. (Zariski)
Assignment 2: Mon 12th Feb 12:00 (Week7)
Assessed questions: Exam Q2 part (1) (find associated primes), Exam Q3 part (2) (completion homomorphisms), Exam Q3 part (3) (completion)
Assignment 3: Mon 11th Mar 12:00 (Week 10)
Assessed questions: Past exam question Q4, Assorted questions Q5, Assorted questions Q11
Assignment 4 : Mon 25th Mar 12:00 (Week 11)
Assessed questions: I.2, II.1, III.1
Replacement Lecture
Week 3 Thursday: Hilbert Series
Support Class Schedule
Week 2: Exact sequences
Week 3: Localisation
Week 4: Hilbert Series and Order of Growth
Week 5: I-adic Completion
Week 6: Dimension Theory
Week 7: Chain Complexes I: Homology, Cohomology and Resolutions
Week 8: Chain Complexes II: Tor and Ext Examples, Syzygies and Regular Sequences
Week 9: Chain Complexes III: Koszul complexes
Week 10: Gorenstein and Cohen-Macaulay