Algebra, Geometry and Number Theory (MSc)

What does this master’s programme entail?

Interested in the deep structures behind mathematics? The Algebra, Geometry and Number Theory master’s specialisation explores number theory and geometry in its broadest sense—from discrete dynamical systems to arithmetic geometry and motives. You’ll work with advanced algebraic methods, engage with computational aspects, and you can tailor your studies by choosing advanced courses in areas such as algebraic number theory, algebraic geometry, and cryptology.

Read more about the Algebra, Geometry and Number Theory programme.

Why study Mathematics and Algebra, Geometry and Number Theory at Leiden University?

• You have ample opportunity to assemble your own study path: for each student, a programme will be tailored individually.
• We offer master’s thesis topics in a broad range of areas, supervised by world leaders in their fields. Because we only accept a relatively small number of students, you will receive a lot of personal help and attention from your chosen advisor. This allows for ambitious projects which are adapted to suit each individual student. 
• The programme is linked to the Erasmus Mundus study programme ALGANT – an EU funded international master’s programme in algebra, geometry and number theory.

Find more reasons to choose Algebra, Geometry and Number Theory at Leiden University.

Yajnaseni Dutta

Teacher & Researcher

'What I value about Mathematics in Leiden is that maths is not treated as a lone endeavour, but as a group effort: students learn from each other and from each other’s mistakes. The department is welcoming and informal, and there is always room to explore beyond the curriculum – through research seminars and colloquia, or simply by getting together with other students and delve deeper into your favourite topic. Students may also always ask professors for that extra help. Within the AGNT specialisation, the presence of ALGANT students also creates an international environment, bringing together students from different universities. My advice: make use of those opportunities and do not leave any why's unanswered.'

Jan Vonk

Teacher & Researcher

'In the Algebra, Geometry and Number Theory specialisation, you will explore fundamental mathematical structures that shape our understanding of the world. From symmetries found in nature to structures underpinning digital information, their influence reaches far beyond pure mathematics. Through abstraction, you will uncover unexpected connections and ideas of striking beauty. If you enjoy rigorous reasoning, elegant arguments, critical thinking and the thrill of discovery, AGNT is the specialisation for you!'

Mathematics and Algebra, Geometry and Number Theory: the right master’s programme for you?

Are you fascinated by pure mathematics and eager to dive deep into it? In this research specialisation you focus on areas such as algebra, number theory, topology and geometry. The Algebra, Geometry and Number Theory specialisation gives you the chance to work at an advanced level and build a solid foundation for an academic career, whether that means continuing with a PhD at Leiden or elsewhere.

Read more about the entry requirements for Algebra, Geometry and Number Theory.