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spring 2020

MAT-3303 Algebraic Geometry - 10 ECTS

Sist endret: 13.05.2020

The course is provided by

Faculty of Science and Technology


Tromsø |

Application deadline

Applicants from Nordic countries: 1 June for the autumn semester and 1 December for the spring semester. Applicants from outside the Nordic countries: 1 October for the spring semester and 15 April for the autumn semester.

Type of course

The course is included in the study program Mathematics - master. It may also be taken independent of study program upon approval of the Department of mathematics and statistics.

Admission requirements

Bachelor of science degree in mathematics or equal. Recommended prerequsites is MAT-3300 Algebra 2.

Application code is 9371.

Course content

For students interested in algebra, algebraic geometry or closely related areas. Covers affine and projective varieties, coordinate rings, Hilbert Nullstellensatz, Gröbner bases, dimension theory of varieties.

Recommended prerequisites

MAT-3300 Algebra 2

Objectives of the course

The candidate shall:
  • obtain solod knowledge in the theory of affine and projective varieties.
  • obtain background in the algorithmic solution of polynomial equations, in particular the theory of Gröbner bases
  • be be able to solve concrete problems in the topics mentioned above

Language of instruction

The language of instruction and the syllabus is English. Examination questions will be given in English, but may be answered either in English or a Scandinavian language.

Teaching methods

Lectures: 40 h Coursework: 30 h


One oral exam counting 100%.

Assessment scale: Letter grades A-F.

Coursework requirements: A passing grade is required on the mandatory homework sets for permission to take the exam.

Date for examination

Oral examination 28.05.2020

The date for the exam can be changed. The final date will be announced in the StudentWeb early in May and early in November.


Course overlap

MAT-8303 Algebraic Geometry 10 stp


Cordian Riener

Professor i rein matematikk
Telefon: +4777644090 cordian.riener@uit.no