Algebraic geometry

Education facts

Code: MMA321

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.

Entry requirements

Knowledge equivalent to 90 credits in mathematics, including the course MMA330 Commutative Algebra.

Education offerings

Each offering has its own dates and conditions. Closed offerings are retained as history and do not mean that a new application is open.

• Algebraic geometry

  University of Gothenburg

  Start date: 4 November 2026

  End date: 17 January 2027

  Pace of study: 50 %