The Algebra, Geometry and Number Theory master's specialisation bridges the gap between theory and the world of algorithms and applications. The courses are directly related to our research.
What does this master’s programme entail?
The Algebra, Geometry and Number Theory master's specialisation focuses on number theory in the broadest sense, ranging from discrete dynamical systems to arithmetic geometry and motives. There is a strong emphasis on algebraic methods and a direct interest in the computational aspects of the theory. The programme also has a cryptology component. Leiden offers courses at an advanced level ranging over topics such as algebraic number theory, algebraic geometry and cryptology.
Mathematics and Algebra, Geometry and Number Theory: the right master’s programme for you?
The research specialisation is aimed at students who wish to acquire a profound knowledge of one of the areas within pure mathematics. There is a strong theme dealing with algebra and number theory as well as a strong theme dealing with topology and geometry. The master’s specialisation Algebra, Geometry and Number Theory is an ideal basis for a career in academia, starting for example with one of our PhD programmes.
The Mathematics and Algebra, Geometry and Number Theory specialisation programme consists of 120 European Credit Transfer System (EC) points and includes a research project (40 EC), advanced courses (min 60 EC) and electives (maximum 20 EC). 30 EC are to be taken from the Dutch national Mastermath programme.
Programme overview
For each student, a programme will be tailored individually. It consists of a choice of advanced courses (at least 60 EC) from algebra, algebraic and analytic number theory, cryptology, and algebraic and differential geometry; a research project (at least 40 EC) and a free choice of courses from any field (maximum 20 EC); required is a total of at least 120 EC.
Educational methods
- Computer assignments
- Lectures
- Individual papers
- Literature study
- Presentations
- Research projects
- Seminars
- Working groups
- Self-study
Career prospects
The Algebra, Geometry and Number Theory specialisation is the excellent preparation for a career in research. It is a suitable stepping stone for pursuing a PhD degree. The degree also gives you access to job opportunities outside academia.
Acquired skills and competence
After graduation you will have excellent knowledge of fundamental Mathematics and experience with working in a multinational environment. This ensures you are capable of operating successfully on the international market. If you have the ambition to deepen your knowledge, this degree is the right preparation to apply for a PhD programme.
Career
The Mathematics Master’s programme is an ideal basis for a career in academia, starting for example with one of the PhD programmes at the Leiden Mathematical Institute. Alumni also work as researchers within an industrial environment, such as in Akzo-Nobel, Shell, Philips or TNO. There are also many possibilities in business. Graduates with a Mathematics degree find jobs in banks, insurance and option trading companies, communication and information technology, industry, and logistics.