MATH5645 is an honours and postgraduate coursework mathematics course.

Units of credit: 6

Pre-requisite: MATH2501 or MATH2601 and MATH3711 with an average mark of at least 70

Exclusions: N/A

Cycle of offering: Term 3 

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

More information: The Course outline will be made available closer to the start of term - please visit this website: www.unsw.edu.au/course-outlines

The course outline contains information about course objectives, assessments, course materials and the syllabus. 

Important additional information as of 2023

UNSW Plagiarism Policy

The University requires all students to be aware of its policy on plagiarism.

For courses convened by the School of Mathematics and Statistics no assistance using generative AI software is allowed unless specifically referred to in the individual assessment tasks.

If its use is detected in the no assistance case, it will be regarded as serious academic misconduct and subject to the standard penalties, which may include 00FL, suspension and exclusion.

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 other areas such as algebra, number theory, combinatorics 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 at the forefront of current developments.