Mathematics

The Bachelor's Degree in Mathematics at KU Leuven offers students a comprehensive and rigorous foundation in mathematical theories, concepts, and applications. This program is designed for individuals interested in exploring the abstract and logical aspects of mathematics, as well as its practical uses in various scientific and technological fields. Throughout the degree, students will engage with topics such as algebra, analysis, geometry, probability, and statistics, developing their analytical thinking, problem-solving abilities, and quantitative skills. The curriculum balances theoretical understanding with applied mathematics, preparing graduates for diverse careers in academia, research, industry, and finance. Students will benefit from state-of-the-art facilities, experienced faculty, and a vibrant academic community that fosters intellectual growth and innovation. The program emphasizes critical thinking, logical reasoning, and the ability to formulate and solve complex mathematical problems. In addition to coursework, students have opportunities to participate in research projects, internships, and exchange programs, enriching their educational experience and enhancing their career prospects. The Bachelor's in Mathematics at KU Leuven is ideal for students who are passionate about understanding the fundamental principles that underpin various scientific disciplines and who aspire to contribute to advancements in science and technology through mathematical insight and expertise. Graduates will be equipped with the theoretical knowledge and practical skills necessary to pursue postgraduate studies in mathematics or related fields, or to embark on careers in sectors such as data analysis, computer science, engineering, finance, and education. The program is structured to develop not only technical competencies but also critical thinking and independent learning skills, ensuring students are well-prepared to meet the challenges of a rapidly evolving job market. Joining this program means becoming part of a prestigious academic community dedicated to excellence in research and education, where students are encouraged to question, explore, and innovate within the vast realm of mathematics.

Truncus Communis

• Mathematics of the 21st Century

Profiles

Profile: Pure Mathematics

• Commutative Algebra
• Group Theory
• Functional Analysis
• Differential Geometry
• Algebraic Geometry
• Approximation Theory
• Algebraic Topology
• Algebraic Number Theory
• Riemann Surfaces
• Spectral Theory and Operator Algebras
• Riemannian Geometry
• Symplectic Geometry
• Science Communication & Outreach
• Geschiedenis van de wiskunde
• Science and Sustainability

Profile: Applied Mathematics

• Optimization
• Advanced Statistical Inference
• Computational Methods for Astrophysical Applications
• Introduction to Plasma Dynamics
• Stochastic Models
• Numerical Simulation of Differential Equations
• Waves and Instabilities
• Generalized Linear Models
• Fundamentals of Financial Mathematics
• Statistics for Finance and Insurance
• Parallel Computing
• Numerical Linear Algebra
• Plasma Physics of the Sun
• Financial Engineering
• Robust Statistics
• Statistics of Extremes
• Space Weather
• Advanced Non-Parametric Statistics
• Science Communication & Outreach
• Geschiedenis van de wiskunde
• Science and Sustainability

Master's Thesis

Requirements

• Applicants with a Belgian diploma: these applicants do not have to take an English proficiency test.
• Applicants with a university degree earned in Australia, Canada, Ireland, New Zealand, United Kingdom or the USA: the certified diploma and transcripts suffice, provided they confirm that the entire university study was completed in English. Absolutely no other diplomas will be accepted as evidence even if the applicant has followed an exclusively English-taught programme.
• Other applicants should submit a satisfactory score on an internationally recognized test of English language proficiency: TOEFL (minimum score 94 internet-based with at least 19 for reading, 18 for Listening, 19 for speaking and 21 for writing) or IELTS (minimum score 7 overall, whilst at least 6,5 for reading, 6 for listening, 6 for speaking and 6 for writing).
• Certified copies of transcripts and diplomas are required for all applicants. These documents also suffice for applicants from
  * universities that have an exchange agreement with the Faculty of Science of KU Leuven
  * universities that are in the global top 200 in the most recent Times Higher Education or QS rankings
• A complete list of course titles for which you have obtained a credit should be part of this. Indicate the course size (in ECTS-credits) and the result you obtained, preferably according to the ECTS-scale; if a different scale is used, please provide an summary explanation on the meaning of the scores.
• For the courses that you deem most relevant as a preparation for the master that you are considering, provide a short (about one half to one page) description according to the standard guidelines for an ECTS-study guide.
• All applicants (EEA and non-EEA) will have to pay an application fee of 50 € to process their file.
• PDF scans of your diplomas and transcripts of academic records
• PDF scan of the translation of your diploma and official transcripts
• The PDF scans of the TOEFL or IELTS certificates have to be uploaded in the web application Applicant. The original TOEFL or IELTS certificates have to be sent directly by ETS or by the official IELTS test centre administered by The British Council or IDP Education to International Admissions and Mobility at KU Leuven. Alternatively, you can also request ETS or the British Council to make your test result available to KU Leuven online, so we can verify your result via the online verification tool.
• If you still have to take the test by the time you want to submit your application file, upload a proof of registration for the TOEFL or IELTS test in the meantime. The proof of registration should mention the date when you will be taking the test.
• PDF of the proof of payment of the application fee made either via bank transfer or via credit card
• PDF scan of the identity page of your passport
• PDF of your motivation letter (recommended size: one A4 page)
• PDF of your CV

The Mathematics programme at KU Leuven offers a variety of financing options for prospective and current students to support their academic pursuits. Tuition fees vary depending on the student's nationality and study progress, with specific rates established by the university each academic year. EU students benefit from significantly lower tuition fees compared to non-EU students, aligning with institutional policies aimed at promoting accessible higher education within the European Union.

In addition to standard tuition fees, students should consider additional costs such as registration fees, accommodation, insurance, textbooks, and other learning materials. KU Leuven provides detailed information on tuition fees and estimated living costs for international students on its official website, facilitating transparent financial planning.

Funding opportunities include scholarships, grants, and loans available through various channels. European students may apply for Erasmus+ mobility grants to fund exchanges and internships abroad during their studies, which can significantly reduce overall expenses. The university also collaborates with government agencies and private foundations that offer scholarships based on merit or financial need, both for Belgian residents and international students. Specific scholarships dedicated to mathematics students are occasionally awarded to outstanding applicants or exceptional current students, encouraging academic excellence.

Moreover, KU Leuven encourages students to seek external financial support. Students can explore national scholarship programs in their home countries or private sponsorships from organizations promoting STEM education. Part-time work opportunities are available both on and off-campus, enabling students to earn income while gaining valuable experience. The university's career services assist students in finding suitable employment aligned with their schedules.

Additionally, KU Leuven promotes financial aid programs for students facing unforeseen financial difficulties, providing emergency funding or tailored advice on managing education costs. International students are advised to inquire about visa-related financial requirements and any specific financial documentation needed for residence permits or scholarship applications.

Overall, financing the Mathematics programme at KU Leuven involves a combination of tuition fee management, scholarship applications, work opportunities, and external funding sources. The university’s supportive infrastructure ensures that students have access to comprehensive financial guidance throughout their studies, helping to make education at KU Leuven accessible regardless of economic background.

The Master's Degree in Mathematics at KU Leuven offers an in-depth and comprehensive education in various mathematical disciplines, preparing students for both academic research and professional careers in industry or education. The program is designed to deepen students’ understanding of fundamental mathematical concepts, while also providing opportunities for specialization through elective courses. Core areas include algebra, analysis, geometry, topology, and mathematical logic, among others. Students learn to apply rigorous mathematical reasoning to complex problems, develop advanced problem-solving skills, and enhance their capacity for abstract thinking.

The curriculum emphasizes both theoretical foundations and practical applications. Students may have opportunities to engage in research projects, internships, or collaborations with industry partners, thereby bridging academic knowledge with real-world challenges. The program promotes an international perspective by encouraging participation in research seminars, conferences, and exchange programs with partner universities worldwide. Language of instruction is primarily English, facilitating international students' participation.

The program typically spans two years of full-time study, with a structured schedule of lectures, tutorials, seminars, and independent study. Graduates of the Master's in Mathematics program are well-equipped for doctoral research, with many continuing to pursue PhDs either at KU Leuven or other leading institutions. Alternatively, they may enter careers in finance, data science, information technology, or education, where advanced mathematical skills are highly valued.

KU Leuven’s mathematics faculty boasts a strong research reputation, with faculty members contributing to various international research projects. Students benefit from the university’s extensive research facilities, libraries, and participation in cutting-edge scientific initiatives. The program supports continuous development through mentoring, student organizations, and access to a network of alumni and industry contacts. Career services provide guidance on internship placements, job applications, and further academic opportunities.

Overall, the Master of Mathematics at KU Leuven aims to cultivate analytical thinking, problem-solving abilities, and research skills, shaping graduates into competent professionals capable of operating at the forefront of mathematical sciences. The program’s structure ensures a balanced mix of theoretical knowledge and practical competence, tailored to meet the evolving demands of academia, industry, and society.