Algebraic Geometry (MATH0076)

Key information

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

Restrictions: This module is normally taken by fourth year students on single or combined honours mathematics degrees, who have taken MATH0021 Commutative Algebra and MATH0022 Galois Theory.
Timetable

Alternative credit options

There are no alternative credit options available for this module.

Description

Algebraic Geometry is the study of algebraic sets (or varieties), all those defined by polynomial equations in several variables. Although the subject probably goes back to Descartes, it is still one of the most thriving research areas of pure mathematics. In addition, Algebraic Geometry is connected to many other areas of mathematics such as number theory for example. Our aim is to introduce basic notions of algebraic geometry in the most down-to-earth fashion. After defining affine and projective algebraic sets and studying their basic properties, we will mostly focus on the case of algebraic curves. One of the main aims of the course is to prove the Bezout's theorem about intersection of two plane projective curves.

Module deliveries for 2024/25 academic year

Intended teaching term: Term 1 听听听 Undergraduate (FHEQ Level 7)

Teaching and assessment

Mode of study: In person
Methods of assessment: 60% Exam

10% Coursework

30% In-class activity
Mark scheme: Numeric Marks

Other information

Number of students on module in previous year: 13
Module leader: Dr Dario Beraldo
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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