Algebraic Number Theory (MATH0035)

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

Algebraic number theory is one of the foundations of modern number theory. An algebraic number field is a finite algebraic extension of the field of rational numbers, and algebraic number theory studies the arithmetic of algebraic number fields: the ring of integers in the number field, the ideas and units in the ring of integers, the extent to which unique factorization holds, etc. As well as being interesting objects in their own right, number fields can be used to prove results about the ordinary integers; a very advanced application is the proof of Fermat's last theorem.

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: 22
Module leader: Professor Richard Hill
Who to contact for more information: math.ugteaching@ucl.ac.uk

Last updated

This module description was last updated on 19th August 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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