## Presentation

### Objectives and content

The programme is aimed at students with an interest in mathematics who intend to qualify for research, development or teaching and seek employment where education in mathematics is required or considered an advantage.

Within the Master's Programme in Mathematics, you can choose among the following specialisations, mirroring the four main research groups within pure Mathematics:

**Algebra**: The Master's programme in Algebra gives a general background in mathematics, with special focus on algebra and algebraic geometry. Algebra is a classical field that is associated with the study of polynomials in several variables. Mandatory courses: MAT224, MAT242 and MAT243.**Algebraic Geometry**: The Master's programme in Algebraic geometry gives a general background in mathematics, with special focus on algebraic geometry. This is an area where one uses techniques from algebra and topology, and often also complex analysis or number theory, to study geometric objects as curves, surfaces and higher dimensional manifolds that can be defined through polynomial equations. Mandatory courses: MAT229, MAT242, MAT243.**Mathematical Analysis**: The Master's programme in Mathematical Analysis provides a general background in mathematics, with a special focus on mathematical analysis. The original meaning of the word "mathematical analysis" is closely associated with functions of one or more real variables, but modern analysis involves several other topics, some of a more abstract nature, such as general topology, measure theory and functional analysis. Mandatory courses: MAT214, MAT215.**Topology**: The Master's programme in Topology provides a general background in mathematics, with a special focus on topology and geometry. Topology is a branch of mathematics where geometrical shapes, such as curves, surfaces and higher dimensional spaces, are studied. Mandatory courses: MAT242, MAT243.

Please see each specialization for more details.

### Semester

Autumn and spring.

## How to Apply

### Admission Requirements

Follow these links to find the general entry requirements and guidelines on how to apply:

- Citizens from outside the European Union/EEA/EFTA (1 December)
- Citizens from within the European Union/EEA/EFTA (1 March)
- Nordic citizens and applicants residing in Norway (15 April)

You will also have to meet the programme specific entry requirements.

## Programme structure

Studieretning | |||||||||

Når du søker opptak til masterprogrammet, kan du prioritere mellom studieretningene. | |||||||||

Algebra (requirement 60 SP) | |||||||||

Algebra (requirement 60 SP) | |||||||||

You should choose subjects in consultation with your academic supervisor. | |||||||||

Elective course | |||||||||

Course code | Course title | SP | S | R | |||||
---|---|---|---|---|---|---|---|---|---|

MAT213 | Functions of a Complex Variable | 10 | - | ||||||

MAT214 | Complex Analysis | 10 | - | ||||||

MAT225 | Number Theory | 10 | - | ||||||

MAT227 | Combinatorics | 10 | - | ||||||

MAT229 | Algebraic Geometry I | 10 | - | ||||||

MAT242 | Topology | 10 | - | ||||||

MAT244 | Algebraic Topology | 10 | - | ||||||

MAT322 | Algebraic Geometry II | 15 | - | ||||||

MAT323 | Representation Theory | 10 | - | ||||||

MAT325 | Algebraic Structures | 10 | - | ||||||

MAT342 | Differential Geometry | 10 | - | ||||||

Algebra/algebraic geometry (requirement 60 SP) | |||||||||

Optional subject (requirement 60 SP) | |||||||||

You should choose subjects in consultation with your academic supervisor. | |||||||||

Elective course | |||||||||

Course code | Course title | SP | S | R | |||||

MAT214 | Complex Analysis | 10 | - | ||||||

MAT225 | Number Theory | 10 | - | ||||||

MAT229 | Algebraic Geometry I | 10 | - | ||||||

MAT242 | Topology | 10 | - | ||||||

MAT243 | Manifolds | 10 | - | ||||||

MAT244 | Algebraic Topology | 10 | - | ||||||

MAT320 | Introduction in Sheaves and Schemes | 5 | - | ||||||

MAT322 | Algebraic Geometry II | 15 | - | ||||||

MAT342 | Differential Geometry | 10 | - | ||||||

Mathematical Analysis (requirement 60 SP) | |||||||||

Optional subject (requirement 60 SP) | |||||||||

You should choose subjects in consultation with your academic supervisor. | |||||||||

Elective course | |||||||||

Course code | Course title | SP | S | R | |||||

MAT214 | Complex Analysis | 10 | 1–4 | ||||||

MAT215 | Theory of Measure and Integration | 10 | 1–4 | ||||||

MAT311 | General Functional Analysis | 10 | 1–4 | ||||||

MAT342 | Differential Geometry | 10 | 1–4 | ||||||

Topology (requirement 60 SP) | |||||||||

Optional subject (requirement 60 SP) | |||||||||

You should choose subjects in consultation with your academic supervisor. | |||||||||

Elective course | |||||||||

Course code | Course title | SP | S | R | |||||

MAT214 | Complex Analysis | 10 | 1–4 | ||||||

MAT224 | Commutative Algebra | 10 | 1–4 | ||||||

MAT225 | Number Theory | 10 | 1–4 | ||||||

MAT229 | Algebraic Geometry I | 10 | 1–4 | ||||||

MAT320 | Introduction in Sheaves and Schemes | 5 | 1–4 | ||||||

MAT322 | Algebraic Geometry II | 15 | 1–4 | ||||||

MAT342 | Differential Geometry | 10 | 1–4 | ||||||

MAT344 | Cohomology | 5 | 1–4 | ||||||

Skoleretta matematikk (requirement 60 SP) | |||||||||

Didaktikkemne (requirement 30 SP) | |||||||||

You should choose subjects in consultation with your academic supervisor. | |||||||||

Optional subject (requirement 60 SP) | |||||||||

You should choose subjects in consultation with your academic supervisor. | |||||||||

Master thesis in Mathematics (requirement 60 SP) | |||||||||

Mandatory course | |||||||||

Course code | Course title | SP | S | R | |||||

MAT399 | Master's Thesis in Mathematics | 60 | 3 | ||||||

Student exchange | |||||||||

Elective course | |||||||||

Study aboard | |||||||||

Study abroad | |||||||||

SP = ECTS credits, S = Semester, R = Recommended semester |

## Specializations

## More information

### About the programme

### Contact

Study section: studierettleiar@math.uib.no

Department of Mathematics: http://www.uib.no/en/math