MATH5645 Algebraic Number Theory

 

MATH5645 is a Honours and Postgraduate coursework Mathematics course. See the course overview below.

Units of credit: 6

Prerequisites: 

Excluded: MATH3740

Cycle of offering: Course not offered every year.

Graduate attributes: The course will enhance your research, inquiry and analytical thinking abilities.

More information: 

The recent course handout (pdf) contains information about course objectives, assessment, course materials and the syllabus. 

The Online Handbook entry contains information about the course. (The timetable is only up-to-date if the course is being offered this year.) 

If you are currently enrolled in MATH5645, you can log into UNSW Moodle for this course.

Course Overview

The theory of finite fields is one of the most elegant areas of mathematics with links to many other areas such as algebra, number theory, combinatotics and graph theory. It also appears in a wide range of applied disciplines such as theoretical computer science, coding theory and cryptography.  

In this course we start by discussing some fundamental notions of the theory of finite fields such as polynomials, bases, primitive elements  and several others. After this we will move to more advanced topics such as characters and character sums and additive combinatorics which are on the forefront of current developments.