Topics in Algebraic Geometry (MAT910)

Course is aimed at PhD candidates in mathematics and/or theoretical physics and /or mathematical physics.

Course description for study year 2024-2025. Please note that changes may occur.


Course code




Credits (ECTS)


Semester tution start

Spring, Autumn

Number of semesters


Exam semester


Language of instruction



Deformation theory of rings, schemes and sheaves. Construction/properties of Hilbert schemes. Representable functors, coarse and fine moduli spaces. Construction/properties of moduli spaces of sheaves and curves.

Learning outcome

After completing this course, the student should have fundamental knowledge of deformation theory and moduli theory in algebraic geometry.

Required prerequisite knowledge


Recommended prerequisites

Basic knowledge of Algebraic Geometry.


Form of assessment Weight Duration Marks Aid
Oral exam 1/1 Passed / Not Passed None permitted

Course teacher(s)

Course coordinator:

Martin Gunnar Gulbrandsen

Head of Department:

Bjørn Henrik Auestad

Method of work

Five hours of lectures and exercise sessions each week. In case of few students, the course may be organized as a guided self-study course.

Open for

PhD-studies in mathematics and physics

Course assessment

There must be an early dialogue between the course supervisor, the student union representative and the students. The purpose is feedback from the students for changes and adjustments in the course for the current semester.In addition, a digital subject evaluation must be carried out at least every three years. Its purpose is to gather the students experiences with the course.


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