Elliptic Curves (MATH0036)

Key information

Faculty: Faculty of Mathematical and Physical Sciences
Teaching department: Mathematics
Credit value: 15

Restrictions: This module is normally taken by third year students on single or combined honours degrees, who have taken MATH0034 Number Theory and MATH0053 Algebra 4.
Timetable

Alternative credit options

There are no alternative credit options available for this module.

Description

This is a course in number theory. An elliptic curve is an equation of the form y2 = x3 + ax2 + bx + c, where a, b, c are given rational numbers. The aim of the course is to be able to find the solutions (x, y) to this equation with x and y rational numbers. The methods used are from geometry and algebra. The study of elliptic curves is an important part of current research in number theory and cryptography. It was central to the proof of Fermat's last theorem. There are still many unsolved problems in this area, in particular the Birch-Swinnerton-Dyer conjecture, for which there is a $1 million prize offered by the Clay Institute.

Module deliveries for 2024/25 academic year

Intended teaching term: Term 2 听听听 Undergraduate (FHEQ Level 6)

Teaching and assessment

Mode of study: In person
Methods of assessment: 90% Exam

10% Coursework
Mark scheme: Numeric Marks

Other information

Number of students on module in previous year: 13
Module leader: Dr Chung-hang Kwan
Who to contact for more information: math.ugteaching@ucl.ac.uk

Last updated

This module description was last updated on 8th April 2024.

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Important information

The catalogue has been updated with key information about the modules that will run during the 2024/25 academic session. Current and prospective students can browse through the catalogue to consider possible module choices for the coming year.

Please note,听information in the catalogue is听subject to change as teaching and assessment arrangements for 2024/25 may need to be adjusted in line with the University's Feedback and Assessment principles and operating model.

Centrally managed exam durations will be provided on students' individual exam timetables. Arrangements for locally managed exams and in-class activity will be confirmed by the teaching department for the module.

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