The MSc Pure Mathematics offers a modern research-oriented taught course, providing students with a broader and deeper understanding of several core areas of pure mathematics that are of strong current interest and with a solid foundation for a career in research in pure mathematics. The programme covers a wide range of topics in algebra, analysis and number theory.
The course is informed by the research interests of the members of the Division of Pure Mathematics
- The School of Mathematical Sciences is one of the largest and strongest mathematics departments in the UK, with over 60 full-time academic staff
- In the latest independent Research Assessment Exercise, the school ranked eighth in the UK in terms of research power across the three subject areas within the School of Mathematical Sciences (pure mathematics, applied mathematics, statistics and operational research)
Advanced Linear Analysis
Algebraic Number Theory
Combinatorial Group Theory
Further Topics in Analysis
Further Topics in Rings and Modules
Pure Mathematics Dissertation
IELTS: 6.0 (with no less than 5.5 in any element)
This one year taught postgraduate programme leads to the degree of MSc in Pure Mathematics and Mathematical Logic. The programme is suitable not only for students who wish to improve their background knowledge prior to applying to undertake a PhD by research, but also for students who wish to enhance their knowledge of postgraduate-level abstract mathematics.
The MSc comprises of the taught component, running from the start of the academic year in September until the end of the second semester in late Spring, followed by the dissertation component running from May until September.
During the taught component of the course, you will normally take five units together with a written project. You may choose exclusively pure topics, or mainly logic modules with a few pure modules. Alternatively, students can choose a mixture of the two. The project is normally an expository account of a piece of mathematics and you will write this under the guidance of a supervisor. The taught component comprises of conventional lectures supported by examples classes, project work and independent learning via reading material.
After successfully completing the taught component, you will prepare a dissertation on an advanced topic in pure mathematics or mathematical logic, normally of current or recent research interest, chosen in consultation with your supervisor.
You can also take the programme part-time, over a period of two years. There is some flexibility in the precise arrangements for this programme, but you would normally attend two lecture courses each semester for three semesters before commencing work on your dissertation.
The aims of the programme are to provide training in a range of topics related to pure mathematics and mathematical logic, to encourage a sophisticated and critical approach to mathematics, and to prepare students who have the ability and desire to follow careers as professional mathematicians and logicians in industry or research.
The taught component is assessed by coursework, project work and by written examination. The written exams take place at the end of January (for the first semester course units) and the end of May (for the second semester course units). The dissertation component is assessed by the quality and competence of the written dissertation.
The Postgraduate Diploma and Postgraduate Certificate exist as exit awards for students who do not pass at MSc level.
The taught courses cover material related to the research interests of the academic staff. Topics covered in lectured course units normally include: set theory, group theory, dynamical systems and ergodic theory, measure theory, functional analysis, algebraic topology, Godel's theorems, hyperbolic geometry, Lie algebras, analytic number theory, Galois theory, predicate logic, computation and complexity, and other topics relevant to current mathematics.
Postgraduate combined research and teaching degree programme Pure Mathematics MRes:
This programme involves both taught classes in Pure Mathematics and a substantial MRes thesis which accounts for almost two-thirds of the total degree.
The MRes can be used as the first phase of our fast track PhD programme, in which the MRes thesis is extended over a further period of two years into a PhD thesis.
This programme involves both taught classes in Pure Mathematics and a substantial MRes thesis which accounts for almost two-thirds of the total degree. The minimum period of registration is 12 months.
The MRes is an ideal preparation for entry into the PhD programme at Birmingham or at any other UK university. Indeed, the MRes programme can be used as the first phase of our fast track PhD programme. This is an excellent option for well-qualified mathematics students who do not have all the necessary mathematical background to start immediately on a PhD in their area of choice. In the fast track programme the MRes thesis is extended over a further period of two years into a PhD thesis.
Each MRes student is assigned a project supervisor who will act as director and mentor in the preparation of the MRes thesis. This gives each student the opportunity to work one-to-one with mathematicians who are international experts in their fields.
In addition to the assessed elements of the course, students are expected to play a full part in the research life of the School. The School has an active seminar programme, and organises international conferences in all areas of mathematics.
These courses are approximately one-third course work and two-thirds dissertation. The dissertation is completed under the direction of a project supervisor which gives our students the opportunity to work one-to-one with a leading expert in their field.
A regular programme of seminars and conferences takes place within the School in a wide range of subjects. Currently thriving at Birmingham are the following research groups:
This programme gives comprehensive training in mathematics and areas appropriate to professional development and research foundations. The MRes is an ideal preparation for entry into the PhD programme at Birmingham. In fact, the MRes programme can be used as the first phase of our ?Fast-track? PhD programme.
University Careers Network
Preparation for your career should be one of the first things you think about as you start university. Whether you have a clear idea of where your future aspirations lie or want to consider the broad range of opportunities available once you have a Birmingham degree, our Careers Network can help you achieve your goal.
Our unique careers guidance service is tailored to your academic subject area, offering a specialised team (in each of the five academic colleges) who can give you expert advice. Our team source exclusive work experience opportunities to help you stand out amongst the competition, with mentoring, global internships and placements available to you. Once you have a career in your sights, one-to-one support with CVs and job applications will help give you the edge.
If you make the most of the wide range of services you will be able to develop your career from the moment you arrive.
The Royal Holloway MA in Holocaust Studies is unique; not only are we the only university in the UK to run an MA course solely dedicated to the field of Holocaust Studies but the Royal Holloway Holocaust Research Institute is the leading academic centre of its kind in Europe. We are internationally recognised for our research, teaching, public advocacy and creative work. This is an ideal MA if you are pursuing an advanced interest in the Holocaust, it will provide you with a further set of skills and a qualification, it also has a highly successful track record as a springboard to doctoral research.
The Research Instiutues’s mission is to promote research into the Holocaust, its origins and aftermath, and to examine the extent to which genocide, war and dictatorship can be understood as defining elements in the history of the twentieth century. It is an international forum bringing together researchers working on different aspects of the Holocaust in a range of disciplines, including history, literary and language studies, film and media studies, philosophy and sociology.
You have the opportunity to approach the subject from a variety of perspectives with a choice of topics, ranging from the more traditional, historical focus and others which examine the cultural, social, political and religious afterlife of the Holocaust. This degree brings together expert academics from across Royal Holloway, including English, Modern Languages and History and is taught at the Wiener Library in central London and at our Egham campus.
Our distinctive features include:
In addition to these mandatory course units there are a number of optional course units available during your degree studies. The following is a selection of optional course units that are likely to be available. Please note that although the College will keep changes to a minimum, new units may be offered or existing units may be withdrawn, for example, in response to a change in staff. Applicants will be informed if any significant changes need to be made.
Assessment is carried out by coursework and a dissertation.
The dissertation must be between 14,000 - 16,000 words and is mainly written in the third term and the summer (with a deadline in early September). Students are expected to develop a topic together with their supervisor(s) during the Spring Term. Topics can be taken from various areas, such as the history and representation of the Holocaust or its impact on literatures in different countries, public and visual culture, mass media and digital narratives, and film.
On completion of the course, graduates will have advanced knowledge and understanding of:
On completion of your MA in Holocaust Studies at Royal Holloway you will have developed and finessed skills, such as research, analysis and presenting, which will appeal to future employers. Your degree also demonstrates that you enjoy being challenged and that you understand complex issues. On graduation you will be ideally placed to develop your career in areas relating to the Holocaust and have a solid foundation for PhD studies.
The Master of Science in Mathematics (120 ECTS) is a research-based master’s programme in which you can specialize in the following fields of mathematics: Pure Mathematics: Algebra, Analysis and Geometry; and Applied Mathematics: Statistics, Financial Mathematics, Computational Mathematics, Plasma-Astrophysics.
Besides a solid, all-round education in mathematics, the programme offers you the possibility to focus on either pure or applied mathematics. This allows you to acquire both breadth of knowledge and depth in your own areas of interest. Pure and applied mathematics courses are firmly grounded in the core research activities of the Department of Mathematics. Gradually, you will gain experience and autonomy in learning how to cope with new concepts, higher levels of abstraction, new techniques, new applications, and new results. This culminates in the Master’s thesis, where you become actively involved in the research performed in the various mathematical research groups of the Departments of Mathematics, Physics, Astronomy and Computer Sciences.
This is an initial Master's programme and can be followed on a full-time or part-time basis.
The programme of the Master of Science in Mathematics consists of 120 ECTS. You choose one of the two profiles – Pure Mathematics or Applied Mathematics (54 ECTS) – and one of the two options – Research Option or Professional Option (30 ECTS). The profile allows you to specialize either in pure mathematics (algebra, geometry, analysis), or in applied mathematics (statistics, computational mathematics, fluid dynamics).
There is one common course: ‘Mathematics of the 21st Century’ (6 ECTS). To complete the programme, you carry out a research project that results in a master’s thesis (30 ECTS).
All staff members of the Department of Mathematics are actively involved in the two-year Master of Science in Mathematics programme. The academic staff at the Department of Mathematics consists of leading experts in their fields. Researchers in pure mathematics focus on algebraic geometry, group theory, differential geometry, functional analysis, and complex analysis. Researchers in mathematical statistics deal with extreme values, robust statistics, non-parametric statistics, and financial mathematics. Research in the applied mathematics group is in computational fluid dynamics and plasma-astrophysics.
Mathematicians find employment in industry and in the banking, insurance, and IT sectors. Many graduates from the research option pursue a career in research and start a PhD in mathematics, mathematical physics, astrophysics, engineering, or related fields.
This research oriented Master’s will provide you with a rich toolkit of creative problem solving skills that will turn you into a desired scientist, both in and outside academia. You will dive deep into mathematics, develope genuine research skills in pure, applied and industrial areas and learn to think out of the box.
This Master's is part of the national Mastermath Programme, a collaboration of Dutch Mathematics Departments who joined efforts to enhance their Master's programmes. Due to this collaboration you can benefit from an exceptional list of mathematical courses, offered either by Utrecht University or another Dutch University. Check the courses page for more information and a full overview of the courses you can choose from.
We combine our course offerings with personal and small-scale teaching, including:
Within this Master's you can choose from 8 different tracks, allowing you to tailor the programme to your own personal interest. Depending on the track you choose, you can pursue your degree either in the direction of Fundamental Mathematics or in Mathematical Modeling.
Fundamental Mathematics tracks:
Mathematical Modeling tracks:
You can also choose to do a Research project in History of Mathematics.
If you are up for it, you can also combine the Mathematical Sciences programme with another Master's programmes of the Graduate School of Natural Sciences (e.g. Theoretical Physics, Climate Physics or Computing Science). This will result in a double Master's degree.
The Mathematical Sciences programme will prepare you for a challenging career, either in or outside academia. Mathematicians are desired employees in today's job market since they can easily deal with complex problems and large data sets in an abstract way. About 40% of our students continue with a PhD in mathematics or related research areas such as imaging or physics (in recent years at Harvard, London, Oxford, Stanford, etc). Many find employment in a research oriented environment at governments or in industry. Work fields include risk analysis, security, forensics, consultancy, data analytics, IT, logistics and more.
The Masters in Mathematics/Applied Mathematics offers courses, taught by experts, across a wide range. Mathematics is highly developed yet continually growing, providing new insights and applications. It is the medium for expressing knowledge about many physical phenomena and is concerned with patterns, systems, and structures unrestricted by any specific application, but also allows for applications across many disciplines.
Modes of delivery of the Masters in Mathematics/Applied Mathematics include lectures, laboratory classes, seminars and tutorials and allow students the opportunity to take part in project work.
If you are studying for the MSc you will take a total of 120 credits from a mixture of Level-4 Honours courses, Level-M courses and courses delivered by the Scottish Mathematical Sciences Training Centre (SMSTC).
You will take courses worth a minimum of 90 credits from Level-M courses and those delivered by the SMSTC. The remaining 30 credits may be chosen from final-year Level-H courses. The Level-M courses offered in a particular session will depend on student demand. Below are courses currently offered at these levels, but the options may vary from year to year.
The project titles are offered each year by academic staff and so change annually.
Career opportunities are diverse and varied and include academia, teaching, industry and finance.
Graduates of this programme have gone on to positions such as:
Maths Tutor at a university.
As the only course to explicitly address the topic of sustainable cities, our Sustainable Cities MA, MSc is unique in the UK. It is an interdisciplinary course that focuses on the human and physical processes shaping urban ecologies and environments. We also offer the opportunity to gain practical experience through an internship.
Our Sustainable Cities MA, MSc course will give you advanced understanding of contemporary debates about sustainable cities, with a specific focus on the human and physical processes shaping urban ecologies and environments.
We aim to:
The course combines pure and applied research methods from human and physical geography, giving you an advanced level understanding of contemporary debates about sustainable cities. We focus on the human and physical processes shaping urban ecologies, environments and social processes.
The degree combines pure and applied research methods from human and physical geography leading to an advanced level understanding of contemporary debates about sustainable cities. Specific foci will be the human and physical processes shaping urban ecologies, environments and social structure and process.
We will teach you through a combination of lectures and seminars, normally for 20 hours for a 20-credit module. In addition we expect you to complete 180 hours of independent study per module. For your 12,000 word dissertation, we will provide four workshops and five hours of one-to-one supervision to complement your 587 hours of independent study.
Typically, one credit equates to 10 hours of work.
Performance on taught modules in the Geography Department is normally assessed through essays and other written assignments, oral presentations, lab work and occasionally by examination, depending on the modules selected. All students also undertake a research-based dissertation of 12,000 words.
The skills that you develop on this course will allow you to excel in a wide range of careers in international organisations, agencies, consultancies, national and city governments, charities, research organisations and academia.