[Self-portrait]

Course 311 - Abstract Algebra

Lecture Notes for the Academic Year 2007-08

Draft Lecture notes for course 311 (Abstract algebra), taught at Trinity College, Dublin, in the academic year 2007-08, are available here.

The course consists of four sections:-

Part 1: Topics in Group Theory
[PDF];
Part 2: Rings and Polynomials
[PDF];
Part 3: Introduction to Galois Theory
[PDF];
Part 4: Commutative Algebra and Algebraic Geometry
[PDF];

Problems for the Academic Year 2007-08

The following problem sets were issued in the academic year 2007-8:---

Group Theory Problems
[PDF],
Galois Theory Problems
[PDF],
Commutative Algebra and Algebraic Geometry Problems
[PDF],

Old Lecture Notes for the Academic Year 2005-06

Lecture notes for course 311 (Abstract algebra), as it was taught at Trinity College, Dublin, in the academic year 2005-06, are available here.

The course consists of four parts:-

Part I: Topics in Number Theory
[PDF],
Part II: Topics in Group Theory
[PDF],
Part III: Topics in Commutative Algebra
[PDF],
Part IV: Introduction to Galois Theory
[PDF],

The following material was non-examinable, but supplemented the examinable portions of the course:-

Part V: Hilbert's Nullstellensatz
[PDF],
Part VI: Introduction to Affine Schemes
[PDF],

The following problem sets were issued in the academic year 2005-06:---

Number Theory Problems
[PDF],
Group Theory Problems
[PDF],
Commutative Algebra Problems
[PDF],
Galois Theory Problems
[PDF],

The author, Dr. David Wilkins, <dwilkins@maths.tcd.ie> would very much appreciate being notified of any errors (typographical or others) that you may find in these notes.


Lecture notes for undergraduate courses

Dr. David R. Wilkins
School of Mathematics, Trinity College, Dublin 2, Ireland
dwilkins@maths.tcd.ie