1 Computational Commutative Algebra - Intro video
2 mod01lec01 - Definitions
3 mod01lec02 - Homomorphisms
4 mod01lec03 - Quotient rings
5 mod01lec04 - Noetherian rings
6 mod01lec05 - Monomials
7 mod02lec06 - Initial ideals
8 mod02lec07 - Division algorithm
9 mod02lec08 - Grobner basis
10 mod02lec09 - Solving Polynomial Equations
11 mod02lec10 - Nullstellensatz - Part 1
12 mod03lec11 - Nullstellensatz - Part 2
13 mod03lec12 - Buchberger criterion
14 mod03lec13 - Monomial basis
15 mod03lec14 - Elimination
16 mod03lec15 - Modules - Part 1
17 mod04lec16 - Modules - Part 2
18 mod04lec17 - Localisation
19 mod04lec18 - Nakayama Lemma
20 mod04lec19 - Spectrum - Part 1
21 mod04lec20 - Spectrum - Part 2
22 mod05lec21 - Associated primes
23 mod05lec22 - Primary Decomposition
24 mod05lec23 - Support of a module
25 mod05lec24 - Associated primes
26 mod05lec25 - Prime avoidance
27 mod06lec26 - Saturation - Part 1
28 mod06lec27 - saturation - Part 2
29 mod06lec28 - saturation - Part 3
30 mod06lec29 - Morphisms - Part 1
31 mod06lec30 - Morphisms - Part 2
32 mod07lec31 - Integral extensions
33 mod07lec32 - Noether normalisation lemma
34 mod07lec33 - Noether normalisation lemma
35 mod07lec34 - Polynomial rings
36 mod07lec35 - Going up theorem
37 mod08lec36 - Artinian rings
38 mod08lec37 - Graded modules
39 mod08lec38 - Hilbert polynomial
40 mod08lec39 - Hilbert-Samuel polynomial
41 mod08lec40 - Artin Rees Lemma
42 mod09lec41 - Degree of Hilbert-Samuel polynomial
43 mod09lec42 - Dimension of noetherian local rings - Part 1
44 mod09lec43 - Dimension of noetherian local rings - Part 2
45 mod09lec44 - Dimension of polynomial rings
46 mod09lec45 - Algebras over a field
47 mod10lec46 - Graded rings - Part 1
48 mod10lec47 - Graded rings - Part 2
49 mod10lec48 - Polynomial rings over fields
50 mod10lec49 - Hilbert series - Part 1
51 mod10lec50 - Hilbert Series - Part 2
52 mod11lec51 - Proj of a graded ring
53 mod11lec52 - Homogenization - Part 1
54 mod11lec53 - Homogenization - Part 2
55 mod11lec54 - More on graded rings
56 mod11lec55 - Free resolutions
57 mod12lec56 - Computing syzygies
58 mod12lec57 - Koszul complex
59 mod12lec58 - More on Koszul complexes
60 mod12lec59 - Castelnuovo Mumford regularity - Part 1
61 mod12lec60 - Castelnuovo Mumford regularity - Part 2