Mathematics: Algebra, Geometry and Number Theory (MSc)
A rigorous master’s specialisation blending pure theory with computational methods in algebra, geometry, and number theory at Leiden University.
Best for:Best for students with a strong background in pure mathematics seeking to deepen their expertise in algebra, geometry, and number theory while gaining computational skills for research or industry applications.
Overview
This master’s programme at Leiden University focuses on advanced topics in algebra, geometry, and number theory, bridging theoretical depth with computational applications. Students engage in courses on algebraic number theory, algebraic geometry, and cryptology, with a strong emphasis on both foundational mathematics and practical algorithmic aspects. The curriculum is research-driven, directly linked to Leiden’s active mathematical research groups. Ideal for those aiming to pursue a PhD or careers in academia, the programme also prepares students for industry roles in cryptography and computational mathematics. The curriculum spans discrete dynamical systems, analytic number theory, and arithmetic geometry, ensuring a broad yet specialised mathematical education.
What you'll do
- Study advanced topics in algebra, geometry, and number theory through rigorous coursework and research projects.
- Engage in computational mathematics and cryptology, applying theoretical knowledge to practical algorithmic challenges.
- Develop a deep understanding of discrete dynamical systems, analytic number theory, and arithmetic geometry.
- Participate in research activities aligned with Leiden University’s active mathematical research groups.
- Prepare for academic careers, including potential PhD programmes, through specialised training in theoretical and applied mathematics.
Requirements
Degree required: Bachelor of Science in Mathematics or a related quantitative discipline
Degree offered: Master of Science (MSc)
Language: English; IELTS 6.5 overall band or TOEFL 90 (internet-based) or equivalent (Cambridge Certificate in Advanced English 180 or Certificate of Proficiency in English 180)
Instruction: English
- Proven proficiency in abstract algebra and linear algebra
- Strong analytical and problem-solving skills in mathematical theory
- Basic familiarity with computational tools or programming for mathematical applications
- No specific nationality restrictions
- No age restrictions
- No prior experience caps beyond a relevant bachelor’s degree
Funding & terms
Programme and admissions
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- Taught / research mode
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- Prerequisites
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- Tuition
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How to apply
Deadline: 2026-10-15
Applicants must submit their application through Leiden University’s official portal. Required documents include a CV, a motivation letter, academic transcripts, proof of English proficiency, and a letter of recommendation. The application process is competitive and requires careful preparation of all materials to demonstrate academic fit and potential.
- CV
- Motivation letter
- Academic transcripts (Bachelor’s degree)
- Proof of English proficiency (IELTS/TOEFL/Cambridge Certificate)
- Letter of recommendation (typically 1-2)
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