Master's in Mathematics
A postgraduate degree, usually one or two years after a bachelor's, that takes you deeper into one area of a field and often ends with a research project or thesis.
Overview
Why study a Master's in Mathematics?
A master's in Mathematics is entered with a bachelor's, usually in mathematics or a closely related subject, and either deepens the discipline or prepares you for research. In the UK a taught MSc is usually a twelve-month course; elsewhere, including the United States, Canada, Australia, Germany and Japan, expect one and a half to two years. Research master's degrees, such as the MRes or MPhil, centre on a long project. Many courses carry a general Mathematics title, while others emphasise pure mathematics, mathematical sciences or mathematics and its applications.
Teaching assumes you are fluent in analysis, algebra and probability, and moves quickly to graduate-level material. Pure-leaning courses offer algebraic geometry, algebraic topology, number theory, functional analysis and representation theory, while broader ones add partial differential equations, stochastic processes, numerical methods and mathematical physics. Most include a dissertation in which you master a research-level topic under supervision. In the United States and Canada, master's-level study is often folded into the early years of a PhD, so check how a programme is organised before you apply.
Students take a general mathematics master's for two main reasons. Some want to reach the level that doctoral programmes expect, especially if their bachelor's was shorter or less advanced. Others want to strengthen their technical profile for quantitative work in finance, technology, cryptography or government. If you are aiming at a specific career such as data science or actuarial work, compare a general course with a specialised master's, which may teach more of the tools those employers use day to day.
Curriculum
What you may study
Master's courses in Mathematics typically offer modules in areas such as these, depending on the department.
- Functional analysis and operator theory
- Algebraic topology
- Algebraic geometry and commutative algebra
- Analytic and algebraic number theory
- Representation theory and Lie groups
- Differential geometry and geometric analysis
- Partial differential equations
- Stochastic processes and stochastic analysis
- Numerical analysis and scientific computing
- Dissertation on a research-level topic
Published programmes for Mathematics at Master's
No programmes for Mathematics at Master's are published yet.
Not in our catalogue yet: that reflects what Universta lists, not what universities teach.
Programmes show each university’s published offering. Course guides describe the course across universities.
Admission
Getting into Master's in Mathematics
Most courses expect a bachelor's in mathematics, or in a subject such as physics or engineering with substantial mathematics, and pure-leaning courses look specifically for real analysis, abstract algebra and often topology or complex analysis. How Indian qualifications are judged varies. A three-year BSc with a strong result is accepted by many UK universities, but some courses elsewhere in Europe and in North America look for a four-year degree, or treat a three-year degree as needing an extra year. Read each course's guidance on international qualifications before applying.
Applications usually go directly to the university, or in Germany sometimes through uni-assist, with transcripts, a statement of purpose, two academic references and English test scores. The GRE is requested by some US programmes, and German-taught master's courses need proof of German. In your statement, name the areas of mathematics you want to study, describe your project or dissertation, and explain how the course fits your plans. Intakes are usually in September or October, with April starts at some German and Japanese universities and February in Australia.
Careers
Career pathways
Common roles for Mathematics master's graduates include the following, while others go on to a PhD.
- Quantitative Analyst
- Quantitative Developer
- Data Scientist
- Machine Learning Engineer
- Cryptographer
- Actuary
- Risk Modeller
- Operational Research Analyst
- Algorithm Developer
- Government Analyst
- Research Assistant
- Mathematics Lecturer
Sectors
Industries
Quantitative Finance
Trading firms, banks and asset managers employ master's graduates to build pricing, trading and risk models, often working alongside colleagues with PhDs.
Technology and AI
Graduates work on algorithms, machine learning and data products, where depth in linear algebra, probability and optimisation gives them an edge.
Security and Cryptography
Government security agencies and technology firms hire mathematicians to design and test encryption and secure communication systems.
Insurance and Reinsurance
Insurers and reinsurers use master's graduates in catastrophe modelling, capital modelling and pricing, often alongside actuarial training.
Engineering and Scientific Computing
Aerospace, energy and engineering firms employ graduates to develop numerical simulations and solve the differential equations behind their designs.
Higher Education and Research
Many graduates move on to doctoral study, and some teach mathematics in colleges or work as research assistants on funded projects.
Who hires
Employers
- Jane Street
- Optiver
- Goldman Sachs
- Swiss Re
- Airbus
- GCHQ
- Fractal Analytics
- Defence Research and Development Organisation (DRDO)
- Tata Consultancy Services
Named for illustration only; not a ranking, endorsement or partnership.
Outlook
Looking ahead
Master's courses in mathematics increasingly sit between classical theory and computation. Modules on the mathematics of machine learning, high-dimensional probability and optimisation are spreading, and computer-checked proof using tools such as Lean is beginning to appear in dissertations. Post-quantum cryptography, which relies on lattices and other algebraic structures, has created fresh demand for people trained in algebra and number theory.
For students heading to a PhD, a master's remains the usual bridge in the UK, much of Europe and Australia, and a strong dissertation often decides who gets funded places. For those heading into industry, the most useful additions are fluent programming and experience of applying advanced mathematics to untidy, real problems. Whichever way you go, being able to say precisely what a result shows, and where it stops being reliable, is valued in both settings.
Specializations
Other Mathematics & Statistics specializations at Master's
Subject
Mathematics & Statistics at Master's
Questions
Questions about Master's in Mathematics
Can I take a master's in Mathematics if my bachelor's was in engineering or physics?
Sometimes. Broad or applied mathematics master's courses often accept engineering and physics graduates with strong mathematics, especially in differential equations and linear algebra. Courses with a pure focus usually expect proof-based modules in analysis and abstract algebra, which many engineering degrees do not include, so compare your transcript with the stated prerequisites.
Is a taught MSc or a research master's better preparation for a PhD?
Both can work. A taught MSc fills gaps across several advanced areas and suits students whose bachelor's was less advanced, while a research master's such as an MRes or MPhil gives more time on a single project and evidence of research ability. What matters most to PhD panels is strong advanced results and a good dissertation or project.
Should I choose a general Mathematics master's or a specialised one?
A general master's suits you if you want to keep research options open or have not yet settled on a field. If you have already settled on a field such as finance, statistics or operational research, a specialised master's usually teaches more of the methods and software those employers expect.
Are Mathematics master's courses taught in English in Germany and Japan?
Some are. In Germany a growing number of mathematics master's courses are taught partly or fully in English, though many still use German. In Japan, English-taught graduate programmes exist in the sciences, but a lot of teaching and seminar work remains in Japanese. Check the language of instruction for each course, not just the country.
Plan
Plan your Master's
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