Working at a frontier of mathematics that intersects with cutting edge research in physics.
Mathematicians can benefit from discoveries in physics and conversely mathematics is essential to further excel in the field of physics. History shows us as much. Mathematical physics began with Christiaan Huygens, who is honoured at Radboud University by naming the main building of the Faculty of Science after him. By combining Euclidean geometry and preliminary versions of calculus, he brought major advances to these areas of mathematics as well as to mechanics and optics. The second and greatest mathematical physicist in history, Isaac Newton, invented both the calculus and what we now call Newtonian mechanics and, from his law of gravity, was the first to understand planetary motion on a mathematical basis.
Of course, in the Master’s specialisation in Mathematical Physics we look at modern mathematical physics. The specialisation combines expertise in areas like functional analysis, geometry, and representation theory with research in, for example, quantum physics and integrable systems. You’ll learn how the field is far more than creating mathematics in the service of physicists. It’s also about being inspired by physical phenomena and delving into pure mathematics.
At Radboud University, we have such faith in a multidisciplinary approach between these fields that we created a joint research institute: Institute for Mathematics, Astrophysics and Particle Physics (IMAPP). This unique collaboration has lead to exciting new insights into, for example, quantum gravity and noncommutative geometry. Students thinking of enrolling in this specialisation should be excellent mathematicians as well as have a true passion for physics.
See the website http://www.ru.nl/masters/mathematics/physics
- This specialisation is one of the few Master’s in the world that lies in the heart of where mathematics and physics intersect and that examines their cross-fertilization.
- You’ll benefit from the closely related Mathematics Master’s specialisations at Radboud University in Algebra and Topology (and, if you like, also from the one in Applied Stochastics).
- Teaching takes place in a stimulating, collegial setting with small groups. This ensures that at Radboud University you’ll get plenty of one-on-one time with your thesis supervisor.
- You partake in the Mastermath programme, meaning you can follow the best mathematics courses, regardless of the university in the Netherlands that offers them. It also allows you to interact with fellow mathematic students all over the country.
- As a Master’s student you’ll get the opportunity to work closely with the mathematicians and physicists of the entire IMAPP research institute.
- More than 85% of our graduates find a job or a gain a PhD position within a few months of graduating. About half of our PhD’s continue their academic careers.
Mathematicians are needed in all industries, including the industrial, banking, technology and service industry and also within management, consultancy and education. A Master’s in Mathematics will show prospective employers that you have perseverance, patience and an eye for detail as well as a high level of analytical and problem-solving skills.
The skills learned during your Master’s will help you find jobs even in areas where your specialised mathematical knowledge may initially not seem very relevant. This makes your job opportunities very broad indeed and is why many graduates of a Master’s in Mathematics find work very quickly.
Possible careers for mathematicians include:
- Researcher (at research centres or within corporations)
- Teacher (at all levels from middle school to university)
- Risk model validator
- ICT developer / software developer
- Policy maker
Radboud University annually has a few PhD positions for graduates of a Master’s in Mathematics. A substantial part of our students attain PhD positions, not just at Radboud University, but at universities all over the world.
The research of members of the Mathematical Physics Department, emphasise operator algebras and noncommutative geometry, Lie theory and representation theory, integrable systems, and quantum field theory. Below, a small sample of the research our members pursue.
Gert Heckman's research concerns algebraic geometry, group theory and symplectic geometry. His work in algebraic geometry and group theory concerns the study of particular ball quotients for complex hyperbolic reflection groups. Basic questions are an interpretation of these ball quotients as images of period maps on certain algebraic geometric moduli spaces. Partial steps have been taken towards a conjecture of Daniel Allcock, linking these ball quotients to certain finite almost simple groups, some even sporadic like the bimonster group.
Erik Koelink's research is focused on the theory of quantum groups, especially at the level of operator algebras, its representation theory and its connections with special functions and integrable systems. Many aspects of the representation theory of quantum groups are motivated by related questions and problems of a group representation theoretical nature.
Klaas Landsman's previous research programme in noncommutative geometry, groupoids, quantisation theory, and the foundations of quantum mechanics (supported from 2002-2008 by a Pioneer grant from NWO), led to two major new research lines:
1. The use of topos theory in clarifying the logical structure of quantum theory, with potential applications to quantum computation as well as to foundational questions.
2. Emergence with applications to the Higgs mechanism and to Schroedinger's Cat (aka as the measurement problem). A first paper in this direction with third year Honours student Robin Reuvers (2013) generated worldwide attention and led to a new collaboration with experimental physicists Andrew Briggs and Andrew Steane at Oxford and philosopher Hans Halvorson at Princeton.
See the website http://www.ru.nl/masters/mathematics/physics
This MSc programme is designed to prepare you for a research career in academia or industry by introducing advanced ideas and techniques that are applicable in a wide range of research areas, while emphasising the underlying physics concepts.
The MSc programme is a core part of the Higgs Centre for Theoretical Physics, which has been created to mark the start of a new era in theoretical physics research, following the discovery of the Higgs boson at CERN. You will take part in the centre’s activities, including weekly seminars, colloquia and workshops involving physicists from around the world, and you will be involved in research-level projects as part of your dissertation.
The partnership between mathematics and physics is an essential one. In theoretical physics we attempt to build abstract constructs that rationalise, explain and predict physical phenomena. To do this we need mathematics: the language of physics. The underlying structure of the physical world can be understood in great detail using mathematics; this is a never-ending source of fascination to theoretical physicists.
You will take two compulsory courses plus a selection of courses that will bring you to an advanced level in subjects such as general relativity, cosmology, statistical physics, condensed matter physics, quantum field theory and the standard model of particle physics. You may also take courses drawn from a wider pool including specialist courses in mathematics, computing and climate science. For the MSc in Mathematical Physics, mathematics courses can account for almost half of the taught course element.
Following the taught component of the programme, you will undertake a three-month research project, which leads to a dissertation.
By engaging with and completing the MSc in Mathematical Physics, graduates will acquire core knowledge of theoretical physics subjects and the research methodologies of modern theoretical and mathematical physics.
The programme aims to develop research skills and problem solving skills, especially in mathematics. It also aims to develop an attitude of mind conductive to critical questioning and creative thinking and the capacity to formulate ideas mathematically.
These degrees are designed to prepare you for a research career by introducing advanced ideas and techniques that are applicable to a wide range of research areas and sectors including academia, industry, education and finance.
Find out more about scholarships and funding opportunities:
The course is run jointly by the Mathematical Institute and the Department of Physics. It provides a high-level, internationally competitive training in mathematical and theoretical physics, right up to the level of modern research. It covers the following main areas:
The course concentrates on the main areas of modern mathematical and theoretical physics: elementary-particle theory, including string theory, condensed matter theory (both quantum and soft matter), theoretical astrophysics, plasma physics and the physics of continuous media (including fluid dynamics and related areas usually associated with courses in applied mathematics in the UK system). If you are a physics student with a strong interest in theoretical physics or a mathematics student keen to apply high-level mathematics to physical systems, this is a course for you.
The course offers considerable flexibility and choice; you will be able to choose a path reflecting your intellectual tastes or career choices. This arrangement caters to you if you prefer a broad theoretical education across subject areas or if you have already firmly set your sights on one of the subject areas, although you are encouraged to explore across sub-field boundaries.
You will have to attend at least ten units' worth of courses, with one unit corresponding to a 16-hour lecture course or equivalent. You can opt to offer a dissertation as part of your ten units. Your performance will be assessed by one or several of the following means:
The modes of assessment for a given course are decided by the course lecturer and will be published at the beginning of each academic year. As a general rule, foundational courses will be offered with an invigilated exam while some of the more advanced courses will typically be relying on the other assessment methods mentioned above. In addition, you will be required to give an oral presentation towards the end of the academic year which will cover a more specialised and advanced topic related to one of the subject areas of the course. At least four of the ten units must be assessed by an invigilated exam and, therefore, have to be taken from lecture courses which provide this type of assessment. A further three units must be assessed by invigilated written exam, take-home exam or mini-project. Apart from these restrictions, you are free to choose from the available programme of lecture courses.
The course offers a substantial opportunity for independent study and research in the form of an optional dissertation (worth at least one unit). The dissertation is undertaken under the guidance of a member of staff and will typically involve investigating and write in a particular area of theoretical physics or mathematics, without the requirement (while not excluding the possibility) of obtaining original results.
The program deepens the knowledge of basic elements of modern physics (atomic and molecular physics, solid state physics, nuclear and particle physics, astrophysics) and of theoretical physics (analytical mechanics, quantum mechanics, mathematical and numerical methods). It is possible to strengthen the knowledge of specific fields like biophysics, nanoscience, physics of matter, nuclear and particle physics, physics of the fundamental interactions, astrophysics. Finally, the program provides direct experience of the laboratory techniques and computer calculation techniques and data analysis.
The graduate in Physics will know and understand the most relevant phenomena of the physical world at different scales, starting from the macroscopic world down to the atomic physics, the physics of condensed matter, nuclear and subnuclear physics up to the physics of the universe. The understanding of the physical world will be based on experimental evidence and a proper use of the theoretical modelling and its mathematical instruments, including numerical techniques.
The second-cycle degree in Physics is divided in three curricula to be chosen by the student: Physics of the fundamental interactions, Physics of matter and Physics of the universe. For further information please check: http://en.didattica.unipd.it
The graduate in Physics can have jobs opportunities in Italy and abroad in industries involving new technologies regardless of the final products, in service companies aiming to innovation and, more generally, in all activities requiring understanding and modelling of processes and ability in analysis and testing. These include startups and high tech industries, software and consulting companies, research centers and public administration. They can also teach physics and mathematics in schools of different levels.
The University of Padova, the Veneto Region and other organisations offer various scholarship schemes to support students. Below is a list of the funding opportunities that are most often used by international students in Padova.
You can find more information below and on our website here: http://www.unipd.it/en/studying-padova/funding-and-fees/scholarships
You can find more information on fee waivers here: http://www.unipd.it/en/fee-waivers
The programme aims to train physicists capable of working in research institutes or corporate environments. Upon successful completion of the programme, students will have acquired:
This is an initial Master's programme and can be followed on a full-time or part-time basis.
After a semester with advanced courses in different disciplines of physics, you choose a major research specialization consisting of advanced and specialized courses and a master’s thesis of 30 ECTS.
The remaining 30 ECTS allow you to follow one of two options: Research or Physics in Society.
The mission of the Department of Physics and Astronomy is exploring, understanding and modelling physical realities using mathematical, computational, experimental and observational techniques. Fifteen teams perform research at an international level. Publication of research results in leading journals and attracting top-level scientists are priorities for the department.
New physics and innovation in the development of new techniques are important aspects of our mission. The interaction with industry (consulting, patents...) and society (science popularisation) are additional points of interest. Furthermore, the department is responsible for teaching basic physics courses in several study programmes.
The master students will grow into independent and critical scientists. Masters of physics will have developed sufficient knowledge and skills to participate in competitive national or international PhD programmes. Moreover the acquired research methodology will prepare the student for employment as a scientist in any chosen profession.
The curriculum is constructed in a way that the student can specialize in an area of choice by joining one of the research groups of the department. This specialization can be in the field of nuclear physics, condensed matter physics ortheoretical physics. A major part of the curriculum consists of research resulting in a master thesis. The subject of the thesis is chosen by the student during the course of the second semester of the 1st Master year and students join a research team from the 3th semester onwards.
The students can choose an option to prepare themselves better for a future in research or in industry or society related fields.
In the option "research" the student can take courses from another research specialization than its major one, which can be accompanied by an internship in one of the research teams of this minor discipline. As such our students have the possibility to broaden their knowledge in at least two scientific disciplines (in physics or a related field), which is invaluable when a further research career in or out of academia is considered.
In the option "Physics for society" students can choose for an internship of a full semester in a company or they can take courses from the LCIE Entrepreneurship Academy who wants to prepare academics for entrepreneurschip.
The Erasmus programme of the European Union offers an excellent opportunity for Belgian students who would like to combine their study with experience outside the KU Leuven. All research groups of the department have a network of European collaborators and we advise interested students to integrate this exchange with their thesis research during their second Master year. Choices concerning the Erasmus programme need to be made in December of the 1st Master year. Address the Erasmus coordinator to obtain specific information on this European programme.
The Department of Physics and Astronomy at KU Leuven generates substantial research funding. Consequently, many research positions are available, and more than half the students obtaining a master’s degree in physics eventually start a PhD programme in one of the department’s research groups.
A number of graduates prefer to pursue a second master’s degree, with medical radiation physics, environmental sciences, and statistics as the most popular subjects. There are also excellent career opportunities in industry (ICT, material research, electronics), consulting, government, banking (statistics), and higher education. Unemployment is nonexistent among newly graduated physicists.
Our MSc Theoretical Physics programme will provide you with exposure to a very wide range of world-leading teaching and research skills. As well as the wide range of modules offered by the Department of Mathematics, many optional modules are available from across the University of London, subject to approval. King's will offer you a unique module in 'General Research Techniques' which will prepare you for life as a research scientist. You will also undertake an extended research project supervised by one of our academic staff.
This programme covers topics like string theory, quantum field theory, supersymmetry, general relativity, and conformal and integrable field theory. Students gain a coherent, comprehensive introduction to the building blocks of modern theoretical physics. Students study at least eight taught modules and develop individual projects in areas of current research. The programme ideally prepares students for active research.
The MSc Theoretical Physics programme provides experience of research in rapidly developing areas of theoretical and mathematical physics and related disciplines. The programme provides experience of the planning, administration, execution and dissemination of research, and will equip you with the background knowledge and transferable and generic skills required to become an effective researcher.
We use lectures, seminars and group tutorials to deliver most of the modules on the programme. You will also be expected to undertake a significant amount of independent study.
Each module in your degree is worth a number of credits: you are expected to spend approximately 10 hours of effort for each credit (so for a typical module of 15 credits this means 150 hours of effort). These hours cover every aspect of the module: lectures, tutorials, labs (if any), independent study based on lecture notes, tutorial preparation and extension, lab preparation and extension, coursework preparation and submission, examination revision and preparation, and examinations.
Assessment methods will depend on the modules selected. The primary method of assessment for this course is written examination. You may also be assessed by class tests, essays, assessment reports and oral presentations.