Algebraic geometry

About this programme

No fees are charged for EU and EEA citizens, Swedish residence permit holders and exchange students. Algebraic geometry studies geometric objects – curves, surfaces and their high-dimensional relatives – that are given by polynomial equations. The subject unites algebra and geometry in a way that allows abstract concepts to have concrete geometric meaning. The course takes its starting point in algebraic curves of low degree, where we can use relatively elementary methods to explore phenomena such as tangent lines, singularities and addition laws on cubic curves. These examples demonstrate both the strength and limitations of the classical methods and justify the need for more systematic algebraic tools, which we then also introduce. The course thus provides a first insight into modern algebraic geometry, with classical examples as guidance. Knowledge equivalent to 90 credits in mathematics, including the course MMA330 Commutative Algebra. All eligible applicants who have applied before the deadline will be granted a place. Mathematical Sciences is a joint department of Chalmers/University of Gothenburg. Your education takes place in the spacious and bright premises of Mathematical Sciences at the Chalmers campus Johanneberg, where there are lecture halls, computer rooms and group rooms. Here you can also find student lunch room and reading room, as well as student counsellors and student office.