| Unit name | Algebraic Number Theory |
|---|---|
| Unit code | MATH31110 |
| Credit points | 10 |
| Level of study | H/6 |
| Teaching block(s) |
Teaching Block 2 (weeks 13 - 24) |
| Unit director | Dr. Jordan |
| Open unit status | Not open |
| Pre-requisites |
Level 1 Pure Maths or Number Theory & Group Theory |
| Co-requisites |
None |
| School/department | School of Mathematics |
| Faculty | Faculty of Science |
The theme for this unit is the use of algebra to solve certain problems in number theory, and also the way that some problems in number theory have stimulated the development of certain branches of algebra. The flavour of the course is algebraic, using polynomials, field extensions, rings, ideals, etc. together with some linear algebra and some basic facts from first year group theory. The problems in number theory that shall be dealt with include the following: the Two Squares Theorem, the solution of various Diophantine equations, and some cases of Fermat's Last Theorem.
