spring 2023
MAT-3303 Algebraic Geometry - 10 ECTS

Last changed 09.11.2022

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 overlap

Du vil få en reduksjon i antall studiepoeng (som oppgitt under), dersom du avlegger eksamen i dette emnet og har bestått følgende emne(r) fra før av:

MAT-8303 Algebraic Geometry 10 stp

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 and examination

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.

Information to incoming exchange students

This course is available for inbound exchange students.

This course is open for inbound exchange student who meets the admission requirements. Please see the Admission requirements.

Do you have questions about this module? Please check the following website to contact the course coordinator for exchange students at the faculty: INBOUND STUDENT MOBILITY: COURSE COORDINATORS AT THE FACULTIES | UiT



Examination: Grade scale:
Oral exam A–E, fail F

Work requirement

To take an examination, the student must have passed the following coursework requirements:
Mandatory homework sets Approved/ Not approved
UiT Exams homepage

  • About the course
  • Campus: Tromsø |
  • ECTS: 10
  • Course code: MAT-3303
  • Tidligere år og semester for dette emnet