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Masters Degrees (Quantum Information)

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The Theoretical Physics track introduces the student to the intriguing diversity of physical theories and gives means to understand the world. Read more

The Theoretical Physics track introduces the student to the intriguing diversity of physical theories and gives means to understand the world. Topics from quantum physics to the theories of gravity are incorporated into the track. Problems of fundamental quantum physics, quantum information, quantum field theory and theoretical cosmology are at the heart of the studies in Theoretical Physics.

Upon graduation, you will be able to use the diverse set of skills acquired as part of this track, including theoretical and numerical techniques to produce and analyse new physical projects.

Programme structure 

The structure is modular. All modules have 20 ECTS. Each specialisation track has two obligatory modules that contain the core material of the field. In addition, there is one thematic module that may be chosen from the other modules offered within this programme or other programmes at the University of Turku. The fourth module consists of freely chosen courses and an obligatory Finnish language and culture course (5 ECTS). An MSc thesis (30 ECTS) in addition to seminar, internship, and project work (10 ECTS) are also required, details of which depend on the specialisation.

Academic excellence and experience

The aim of the Master’s education is to support you to become an independent expert who can evaluate information critically, plan and execute research projects to find new knowledge, and to solve scientific and technological problems independently and as a part of a group.

In the University of Turku the research in Theoretical physics has the emphasis on various fields at the forefront of European and international research such as quantum technologies, fundamentals of quantum physics, quantum information and optics, quantum field theory and cosmology. You will learn rigorous mathematical and numerical methods to model physical phenomena and solve physical problems with several possible interdisciplinary applications also outside physics. Examples are the studies of complex systems, data science, and machine learning.

Master's thesis and topics

The Master’s degree programme includes a compulsory thesis component (30 ECTS), which corresponds to six months of full time work. The thesis is to be written up as a report based on a combination of a literature review and an original research project that forms the bulk of the thesis.

The thesis is an independently made research project but the project will be carried out under the guidance of leading researchers in the field at the University of Turku. It is expected that the student will be embedded within an active research group or experimental team, thereby providing ample opportunity to discuss results and exchange ideas in a group setting.

Specialisation tracks

The Master’s Degree Programme of Physical and Chemical Sciences has four tracks. A short description of each specialisation track is given below. You can find more detailed information of tracks from the specific site of each track in this portal (UTU Masters).

In Theoretical physics you can specialise in various fields at the forefront of European and international research such as quantum technologies, fundamentals of quantum physics, quantum information and optics, quantum field theory and cosmology. You will learn rigorous mathematical and numerical methods to model physical phenomena and solve physical problems with several possible interdisciplinary applications also outside physics. Examples are the studies of complex systems, data science, and machine learning.

Students specialising in Astronomy and Space Physics can choose among three lines of studies: theoretical astrophysics, observational astronomy and space physics. You will acquire knowledge of various astrophysical phenomena and plasma physics, from Solar system to neutron stars and onto galaxies and cosmology. You will also get hands-on experience with observational techniques, space instrumentation, numerical methods and analysis of large data sets.

The studies of Materials Physics and Materials Chemistry give you an ability to understand and to develop the properties of materials from molecules and nanoparticles via metals, magnetic and semiconducting compounds for pharmaceutical and biomaterial applications. After graduation, you will be familiar with the current methodologies, research equipment and modern numerical methods needed to model properties of materials used in research and technology. Note that there is a sister programme (Master’s Degree Programme in Biomedical Sciences) with a specialisation in medicinal chemistry.

Job options

The prospects for employment at relatively senior levels is excellent for those trained in the physical and chemical sciences. Thanks to the broad scope of the programme, the skills and knowledge developed as part of this education at the University of Turku provide many employment opportunities in different areas.

Our MSc graduates have been employed to wide range of professions, in addition to academic career, such that finance sector, medical imagining, quantum technology, game development, and data mining.

Career in research

The Master’s Degree provides eligibility for scientific postgraduate degree studies. Postgraduate degrees are doctoral and licentiate degrees. The University of Turku Graduate School – UTUGS has a Doctoral Programme in Physical and Chemical Sciences, and covers all of the disciplines of this Master Degree programme. Postgraduate degrees can be completed at the University of Turku. Note that in Finland the doctoral studies incur no tuition fees, and PhD students often receive either a salary, or a grant to cover their living expenses. The Master’s programme is a stepping stone for PhD studies.



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Overview. The course provides an introduction to the physical principles and mathematical techniques of current research in general relativity, quantum gravity, particle physics, quantum field theory, quantum information theory, cosmology and the early universe. Read more

Overview

The course provides an introduction to the physical principles and mathematical techniques of current research in general relativity, quantum gravity, particle physics, quantum field theory, quantum information theory, cosmology and the early universe.

The programme of study includes a taught component of closely-related modules in this popular area of mathematical physics. The course also includes a substantial project that will allow students to develop their interest and expertise in a specific topic at the frontier of current research, and develop their skills in writing a full scientific report.

The course will provide training in advanced methods in mathematics and physics which have applications in a wide variety of scientific careers and provide students with enhanced employability compared with undergraduate Bachelors degrees. In particular, it will provide training appropriate for students preparing to study for a PhD in the research areas listed above. For those currently in employment, the course will provide a route back to academic study.

Key facts:

- The course is taught jointly by the School of Mathematical Sciences and the School of Physics and Astronomy.

- Dissertation topics are chosen from among active research themes of the Particle Theory group, the Quantum Gravity group and the Quantum Information group.

- In addition to the lectures there are several related series of research-level seminars to which masters students are welcomed.

Module details

Advanced Gravity

Black Holes

Differential Geometry

Gravity

Gravity, Particles and Fields Dissertation

Introduction to Quantum Information Science

Modern Cosmology

Quantum Field Theory

English language requirements for international students

IELTS: 6.0 (with no less than 5.5 in any element)

Further information



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The Quantum Technologies MSc will take students to the cutting-edge of research in the emerging area of quantum technologies, giving them not only an advanced training in the relevant physics but also the chance to acquire key skills in the engineering and information sciences. Read more

The Quantum Technologies MSc will take students to the cutting-edge of research in the emerging area of quantum technologies, giving them not only an advanced training in the relevant physics but also the chance to acquire key skills in the engineering and information sciences.

About this degree

Students learn the language and techniques of advanced quantum mechanics, quantum information and quantum computation, as well as state-of-the-art implementation with condensed matter and quantum optical systems.

Students undertake modules to the value of 180 credits.

The programme consists of three core modules (45 credits), three optional modules (45 credits) and a research project (90 credits).

Core modules

All students take the following core modules:

  • Atom and Photon Physics
  • Advanced Quantum Theory
  • Quantum Communication and Computation

Optional modules

Students choose one optional module from any of the Physics MSc degrees as well as two of the following optional modules:

  • Advanced Photonic Devices
  • Nanoelectronic Devices
  • Nanoscale Processing for Advanced Devices
  • Optical Transmission and Networks
  • Order and Excitations in Condensed Matter
  • Physics and Optics of Nano-Structures
  • Research Computing with C++
  • Research Software Engineering with Python

Research project and case studies

The MSc programme culminates in the quantum technologies project and attached case studies. All students undertake two case studies related to quantum technologies as well as an independent research project (experimental or theoretical), which will be the subject of a presentation and a dissertation of 10,000-15,000 words. Research-active supervisors will provide topics which will enable the students to make contributions to research in the field.

Teaching and learning

The programme is delivered through a combination of lectures and seminars, with self-study on two modules devoted to the critical assessment of current research topics and the corresponding research skills. Assessment is through a combination of problem sheets, written examinations, case study reports and presentations, as well as the MSc project dissertation.

Further information on modules and degree structure is available on the department website: Quantum Technologies MSc

Funding

For a comprehensive list of the funding opportunities available at UCL, including funding relevant to your nationality, please visit the Scholarships and Funding website.

Careers

The programme prepares graduates for careers in the emerging quantum technology industries which play an increasingly important role in: secure communication; sensing and metrology; the simulation of other quantum systems; and ultimately in general-purpose quantum computation. Graduates will also be well prepared for research at the highest level in the numerous groups now developing quantum technologies and for work in government laboratories.

Employability

Graduates will possess the skills needed to work in the emerging quantum industries as they develop in response to technological advances.

Why study this degree at UCL?

UCL offers one of the leading research programmes in quantum technologies anywhere in the world, as well as outstanding taught programmes in the subjects contributing to the field (including physics, computer science, and engineering). It also hosts the EPSRC Centre for Doctoral Training in Delivering Quantum Technologies.

The programme provides a rigorous grounding across the disciplines underlying quantum technologies, as well as the chance to work with some of the world's leading groups in research projects. The new Quantum Science and Technology Institute ('UCLQ') provides an umbrella where all those working in the field can meet and share ideas, including regular seminars, networking events and opportunities to interact with commercial and government partners.



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Why this course?. This is a vocational course in applied physics for anyone with a background in the physical sciences or engineering. Read more

Why this course?

This is a vocational course in applied physics for anyone with a background in the physical sciences or engineering.

You can choose classes relevant to your career interests from a wide range of topics including:

  • high-power microwave technology
  • laser-based particle acceleration and enabled applications
  • physics and the life sciences
  • materials and solid state physics
  • photonics
  • quantum optics and quantum information technology

On the programme you'll acquire:

  • in-depth knowledge of current and emerging theories, techniques and practices within the field of physics and the life sciences and the ability to apply these theories in a professional setting
  • problem-solving and high numeracy skills that are widely sought-after across the commercial sector skills required to use high-power microwave technology in an industrial environment
  • professional abilities in applying laser-based particle acceleration and enabled applications
  • in-depth knowledge of materials and solid state physics, photonics & quantum optics and quantum information technology

You‘ll put the knowledge gained in the taught classes to use on a research project. You can design the project to fit in with your interests and career plans.

The course gives you the opportunity to explore and master a wide range of applied physics skills. It teaches you transferable, problem-solving and numeracy skills that are widely sought after across the commercial sector.

You’ll study

You’ll have two semesters of taught classes made up of compulsory and optional modules. This is followed by a three-month research project.

Facilities

This course is run by our Department of Physics. The department’s facilities include:

  • cutting-edge high-power laser and particle acceleration research with SCAPA, enabling generation of radiation from the terahertz to the X-ray region, and biomedical applications
  • the Ultrafast Chemical Physics lab with state-of-the-art femtosecond laser systems for multi-dimensional IR spectroscopy
  • a scanning electron microscopy suite for analysis of hard and soft matter
  • access to top-of-the-range high-performance and parallel computer facilities
  • state-of-the-art high-power microwave research facility in the Technology & Innovation Centre
  • advanced quantum optics and quantum information labs
  • several labs researching optical spectroscopy and sensing

Learning & teaching

Our teaching is based on lectures, tutorials, workshops, laboratory experiments and research projects.

Assessment

The final assessment will be based on your performance in examinations, coursework, a research project and, if required, in an oral exam.

Careers

What kind of jobs do Strathclyde Physics graduates get?

To answer this question we contacted some of our Physics graduates from all courses to find out what jobs they have. They are working across the world in a number of different roles including:

  • Medical Physicist
  • Senior Engineer
  • Professor
  • Systems Engineer
  • Treasury Analyst
  • Patent Attorney
  • Software Engineer
  • Teacher
  • Spacecraft Project Manager
  • Defence Scientist
  • Procurement Manager
  • Oscar winner

Success story: Iain Neil

Iain Neil graduated from Strathclyde in Applied Physics in 1977 and is an optical consultant, specialising in the design of zoom lenses for the film industry. He has received a record 12 Scientific and Technical Academy Awards, the most for any living person.



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Exploration of quantum phenomena has recently led to extraordinary applications of quantum entanglement. The degree of control exerted over these systems is reflected in the term ‘quantum technology’, describing both experimental and theoretical developments in this area. Read more

Exploration of quantum phenomena has recently led to extraordinary applications of quantum entanglement. The degree of control exerted over these systems is reflected in the term ‘quantum technology’, describing both experimental and theoretical developments in this area.

This course is for you if you’re interested in the wonders of quantum physics and have a desire to exploit its full power.

We cover:

  • ion-trap quantum processors
  • ion-photon interfaces for the projected quantum internet
  • quantum simulators
  • superconducting quantum circuits
  • devices for quantum-enhanced metrology.

How will I study?

You’ll study in a Physics department ranked amongst the top 15 in the UK (Guardian University Guide 2018) where researchers are leading the way on the development of the world’s first quantum computer. We’re also a founder member of SEPnet, the South East Physics Network which supports vital research, teaching and development.

The course is split between taught modules and your individual project and you can choose to study full time or part time.

The taught part of the course comprises core modules plus a choice of options, allowing you to tailor the course towards your own particular interests. You’ll also attend research seminars and contribute to your group’s discussions of the latest journal papers.

Your project can take the form of a placement in industry, but is usually supervised by our faculty. Supervisors and topics are allocated, in consultation with you, at the start of the autumn term. Often the projects form the basis of research papers that are later published in journals.

Assessment is split equally between the project and modules. Modules are assessed with either open-notes tests or unseen examinations. Your project culminates in a dissertation (with a contribution from a research talk).

Careers

This course may be attractive to you if you aim to:

  • go on to doctoral study (theory or experiment)
  • work in a high-technology company exploiting cutting-edge technologies related to our research (this could involve development of quantum information technology, high-precision measurements and quantum metrology, and photonics/optical communications)
  • work in business/data analysis, research, computer programming, software development, or teaching


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The Department gives MSc students an opportunity to study and perform a research project under the supervision of recognized experts and to acquire specialist knowledge of one or a few topics at the cutting edge of contemporary physics. Read more
The Department gives MSc students an opportunity to study and perform a research project under the supervision of recognized experts and to acquire specialist knowledge of one or a few topics at the cutting edge of contemporary physics.

The project will be devoted to one of several topical areas of modern physics including high-temperature superconductivity, terahertz semiconductor and superconductor electronics, quantum computing and quantum metamaterials, physics of extreme conditions and astrophysics.

Core study areas currently include mathematical methods for interdisciplinary sciences, research methods in physics, superconductivity and nanoscience and a research project.

Optional study areas currently include characterisation techniques in solid state physics, quantum information, advanced characterisation techniques, quantum computing, and physics of complex systems.

See the website http://www.lboro.ac.uk/study/postgraduate/programmes/departments/physics/advanced-physics/

Programme modules

Compulsory Modules:
- Mathematical Methods for Interdisciplinary Sciences
- Research Methods in Physics
- Superconductivity and Nanoscience
- Research Project Part 1
- Research Project Part 2

Optional Modules:
- Characterisation Techniques in Solid State Physics
- Fundamentals of Quantum Information
- Matlab as a Scientific Programming Language
- Advanced Characterisation Techniques
- Quantum Computing
- Physics of Complex systems

Learning and teaching

Knowledge and understanding are acquired through lectures, tutorials, problem classes and guided independent study. Assessment in taught modules is by a combination of examination and coursework. The MSc includes a significant research project completed through guided independent study with a research supervisor.

Careers and further study

The aim of the course is to equip students with key skills they need for employment in industry, public service or academic research.

Why choose physics at Loughborough?

We are a community of approximately 170 undergraduates, 30 postgraduates, 16 full-time academic staff, seven support staff, and several visiting and part-time academic staff.

Our large research student population and wide international links make the Department a great place to work.

- Research
Our research strengths are in the areas of condensed matter and materials, with a good balance between theory and experiment.
The quality of our researchers is recognised internationally and we publish in highly ranked physics journals; one of our former Visiting Professors, Alexei Abrikosov, was awarded the 2003 Nobel Prize in Physics.

- Career Prospects
100% of our graduates were in employment and/or further study six months after graduating. They have gone on to work with companies such as BT, Nikon Metrology, Prysmian Group, Rutherford Appleton Laboratory ISIS and Smart Manufacturing Technology.

Find out how to apply here http://www.lboro.ac.uk/study/postgraduate/programmes/departments/physics/advanced-physics/

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Visit our website for more information on fees, scholarships, postgraduate loans and other funding options to study High Performance and Scientific Computing at Swansea University - 'Welsh University of the Year 2017' (Times and Sunday Times Good University Guide 2017). Read more

Visit our website for more information on fees, scholarships, postgraduate loans and other funding options to study High Performance and Scientific Computing at Swansea University - 'Welsh University of the Year 2017' (Times and Sunday Times Good University Guide 2017).

The MSc in High Performance and Scientific Computing is for you if you are a graduate in a scientific or engineering discipline and want to specialise in applications of High Performance computing in your chosen scientific area. During your studies in High Performance and Scientific Computing you will develop your computational and scientific knowledge and skills in tandem helping emphasise their inter-dependence.

On the course in High Performance and Scientific Computing you will develop a solid knowledge base of high performance computing tools and concepts with a flexibility in terms of techniques and applications. As s student of the MSc High Performance and Scientific Computing you will take core computational modules in addition to specialising in high performance computing applications in a scientific discipline that defines the route you have chosen (Biosciences, Computer Science, Geography or Physics). You will also be encouraged to take at least one module in a related discipline.

Modules of High Performance and Scientific Computing MSc

The modules you study on the High Performance and Scientific Computing MSc depend on the route you choose and routes are as follows:

Biosciences route (High Performance and Scientific Computing MSc):

Graphics Processor Programming

High Performance Computing in C/C++

Operating Systems and Architectures

Software Testing

Programming in C/C++

Conservation of Aquatic Resources or Environmental Impact Assessment

Ecosystems

Research Project in Environmental Biology

+ 10 credits from optional modules

Computer Science route (High Performance and Scientific Computing MSc):

Graphics Processor Programming

High Performance Computing in C/C++

Operating Systems and Architectures

Software Testing

Programming in C/C++

Partial Differential Equations

Numerics of ODEs and PDEs

Software Engineering

Data Visualization

MSc Project

+ 30 credits from optional modules

Geography route (High Performance and Scientific Computing MSc):

Graphics Processor Programming

High Performance Computing in C/C++

Operating Systems and Architectures

Software Testing

Programming in C/C++

Partial Differential Equations

Numerics of ODEs and PDEs

Modelling Earth Systems or Satellite Remote Sensing or Climate Change – Past, Present and Future or Geographical Information Systems

Research Project

+ 10 credits from optional modules

Physics route (High Performance and Scientific Computing MSc):

Graphics Processor Programming

High Performance Computing in C/C++

Operating Systems and Architectures

Software Testing

Programming in C/C++

Partial Differential Equations

Numerics of ODEs and PDEs

Monte Carlo Methods

Quantum Information Processing

Phase Transitions and Critical Phenomena

Physics Project

+ 20 credits from optional modules

Optional Modules (High Performance and Scientific Computing MSc):

Software Engineering

Data Visualization

Monte Carlo Methods

Quantum Information Processing

Phase Transitions and Critical Phenomena

Modelling Earth Systems

Satellite Remote Sensing

Climate Change – Past, Present and Future

Geographical Information Systems

Conservation of Aquatic Resources

Environmental Impact Assessment

Ecosystems

Facilities

Students of the High Performance and Scientific Computing programme will benefit from the Department that is well-resourced to support research. Swansea physics graduates are more fortunate than most, gaining unique insights into exciting cutting-edge areas of physics due to the specialized research interests of all the teaching staff. This combined with a great staff-student ratio enables individual supervision in advanced final year research projects. Projects range from superconductivity and nano-technology to superstring theory and anti-matter. The success of this programme is apparent in the large proportion of our M.Phys. students who seek to continue with postgraduate programmes in research.

Specialist equipment includes:

a low-energy positron beam with a highfield superconducting magnet for the study of positronium

a number of CW and pulsed laser systems

scanning tunnelling electron and nearfield optical microscopes

a Raman microscope

a 72 CPU parallel cluster

access to the IBM-built ‘Blue C’ Supercomputer at Swansea University and is part of the shared use of the teraflop QCDOC facility based in Edinburgh

The Physics laboratories and teaching rooms were refurbished during 2012 and were officially opened by Professor Lyn Evans, Project Leader of the Large Hadron Collider at CERN. This major refurbishment was made possible through the University’s capital programme, the College of Science, and a generous bequest made to the Physics Department by Dr Gething Morgan Lewis FRSE, an eminent physicist who grew up in Ystalyfera in the Swansea Valley and was educated at Brecon College.



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Why a Physics MSc?. Physics has always remained and still is at the center of science and technology. The laws of physics that are reached through observations and careful experimentation find applications from the subatomic particles to the astronomic formations such as stars and galaxies. Read more

Why a Physics MSc?

Physics has always remained and still is at the center of science and technology. The laws of physics that are reached through observations and careful experimentation find applications from the subatomic particles to the astronomic formations such as stars and galaxies. On the other hand, design of advanced technology materials, fabrication of semiconductor devices, the development of optical communication systems have all evolved as applications of physics.

Our department has both theoretical and experimental research activites. Quantum information theory, gravitation and condensed matter physics are among our theoretical research interests.

On the experimental research side, we have three advanced laboratories where we focus on solid state lasers, optoelectronic and nano-photonic materials and devices.

Our M. Sc. Program aims at teaching fundamental physics at a high level and coupling this knowledge with a research experience in either theoretical or applied physics depending on the interests of the student.

Current faculty projects and research interests:

• Photonic and Laser Materials

• Microphotonics

• Nanophotonics

• Gravitation, Cosmology, and Numerical Relativity

• Mathematical Physics

• Quantum Mechanics and Quantum Information Theory

• Theoretical High Energy Physics

• Quantum Optics, atomic, molecular and optical physics

• Statistical mechanics of biophysical systems

Laboratories



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Why this course?. The course gives you the opportunity to explore and master theoretical, computational and experimental physics skills with wide application. Read more

Why this course?

The course gives you the opportunity to explore and master theoretical, computational and experimental physics skills with wide application.

Our four divisions – Nanoscience, Optics, Plasmas and the Institute of Photonics – all contribute research-based teaching expertise to the course. You can choose taught elements relevant to your career interests from a wide range of topics, including:

  • theoretical & computational physics
  • quantum optics and quantum information
  • complexity science
  • physics and the life sciences
  • solid-state physics
  • plasma physics

The knowledge you gain in the taught components is then put to use in a cutting-edge research project, which can be theoretical, computational or experimental.

You’ll study

You’ll have two semesters of taught classes made up of compulsory and optional modules. This is followed by a three-month research project. 

Facilities

This course is run by the Department of Physics. The department’s facilities include:

  • cutting-edge high-power laser research with SCAPA, researching the future of particle accelerators via laser-based acceleration
  • the Ultrafast Chemical Physics lab with state-of-the-art femtosecond laser systems for multi-dimensional IR spectroscopy
  • access to the top-of-the-range high performance and parallel computer facilities of ARCHIE-WeSt
  • a scanning electron microscopy suite for analysis of hard and soft matter
  • new high-power microwave research facility in the Technology & Innovation Centre
  • advanced quantum optics and quantum information labs

Learning & teaching

Our teaching is based on lectures, tutorials, workshops, laboratory experiments, and research projects.

Assessment

The final assessment will be based on your performance in examinations, coursework, a research project and, if required, in an oral examination.

Careers

A Masters degree in physics prepares you for a wide and versatile range of careers in science and engineering as well as all areas of management, financial services, etc. Many graduates proceed to a PhD.

Strathclyde physics graduates are working across the world in a number of different roles including:

  • Medical Physicist
  • Senior Engineer
  • Professor
  • Systems Engineer
  • Treasury Analyst
  • Patent Attorneys
  • Software Engineer
  • Teacher
  • Spacecraft Project Manager
  • Defence Scientist
  • Procurement Manager
  • Oscar winner


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Course description. This masters by research course brings together the University of Sheffield’s expertise in quantum photonics and nanomaterials. Read more

Course description

This masters by research course brings together the University of Sheffield’s expertise in quantum photonics and nanomaterials.

There is a particular focus on the study of novel fundamental phenomena in condensed matter systems as well as applications in quantum information processing, photovoltaics and optoelectronics.

Core modules

  • Optical Properties of Solids
  • Advanced Electromagnetism
  • Semiconductor Physics and Technology
  • Research Skills in Physics
  • Solid State Physics
  • Research Project in Physics

Examples of optional modules

Choose from a range including:

  • Biological Physics
  • Magnetic Resonance: Principles and Applications
  • Physics in an Enterprise Culture
  • Further Quantum Mechanics
  • Advanced Quantum Mechanics
  • The Physics of Soft Condensed Matter
  • Statistical Physics

Teaching and assessment

One-year individual programme of research.

Taught material is complemented by a 12-month research project in one of our world-leading research groups.

Your training will cover optical experiments and fabrication of devices in our state-of-the-art laboratories as well as numerical methods and more.



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Excited by the role of mathematics in securing the modern electronics and communications that we all rely on? This intensive MSc programme explores the mathematics behind secure information and communications systems, in a department that is world renowned for research in the field. Read more

Excited by the role of mathematics in securing the modern electronics and communications that we all rely on? This intensive MSc programme explores the mathematics behind secure information and communications systems, in a department that is world renowned for research in the field.

You will learn to apply advanced mathematical ideas to cryptography, coding theory and information theory, by studying the relevant functions of algebra, number theory and combinatorial complexity theory and algorithms. In the process you will develop a critical appreciation of the challenges that mathematicians face in facilitating secure information transmission, data compression and encryption. You will learn to use advanced cypher systems, correcting codes and modern public key crypto-systems. As part of your studies you will have the opportunity to complete a supervised dissertation in an area of your choice, under the guidance of experts in the field who regularly publish in internationally competitive journals and work closely with partners in industry.

We are a lively, collaborative and supportive community of mathematicians and information security specialists, and thanks to our relatively compact scale we will take the time to get to know you as an individual. You will be assigned a personal advisor to guide you through your studies.

Mathematicians who can push the boundaries and stay ahead when it comes to cryptography and information security are in demand, and the skills you gain will open up a range of career options and provide a solid foundation if you wish to progress to a PhD. These include transferable skills such as familiarity with a computer-based algebra package, experience of carrying out independent research and managing the writing of a dissertation.

  • Learn from internationally renowned mathematicians, cryptographers and communications specialists.
  • Complete a cutting-edge research project under the supervision of cryptography and communications experts.
  • Enjoy the flexibility to tailor your degree to your interests and specialisms.
  • Join a mathematics department that ranks second in the UK for research impact and fourth for world leading or internationally excellent research output (Research Excellence Framework 2014).
  • Feel at home in a friendly department where you will be known as an individual.

Course structure

Core modules

  • Main Project
  • Advanced Cipher Systems
  • Channels
  • Theory of Error-Correcting Codes
  • Public Key Cryptography

Optional modules

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.

  • Applications of Field Theory
  • Quantum Information and Coding
  • Principles of Algorithm Design
  • Advanced Financial Mathematics
  • Combinatorics
  • Computational Number Theory
  • Complexity Theory
  • Inference
  • Topology
  • Applied Probability

Teaching & assessment

You will initially choose 8 courses from the list of available options, of which you specify 6 courses during the second term that will count towards your final award. You will also complete a core research project under the supervision of one of our academic staff.There is a strong focus on small group teaching throughout the programme.

Assessment is carried out through a variety of methods, including coursework, examinations and the main project. End-of-year examinations in May or June will count for 66.7% of your final award, while the dissertation will make up the remaining 33.3% and has to be submitted by September.

Your future career

By the end of this programme you will have an advanced knowledge and understanding of all the key mathematical principles and applications that underpin modern cryptography and communications. You will have advanced skills in coding, algebra and number theory, and be able to synthesise and interpret information from multiple sources with insight and critical awareness. You will have learnt to formulate problems clearly, to undertake independent research and to express your technical work and conclusions clearly in writing. You will also have valuable transferable skills such as advanced numeracy and IT skills, time management, adaptability and self-motivation.

Graduates from this programme have gone on to carry out cutting-edge research in the fields of communication theory and cryptography, as well as to successful careers in industries such as: information security, IT consultancy, banking and finance, higher education and telecommunications. Our mathematics postgraduates have taken up roles such as: Principal Information Security Consultant at Abbey National PLC; Senior Manager at Enterprise Risk Services, Deloitte & Touche; Global IT Security Director at Reuters; and Information Security Manager at London Underground.

The campus Careers team will be on hand to offer advice and guidance on your chosen career. The University of London Careers Advisory Service runs regular, tailored sessions for mathematics students, on finding summer internships or vacation employment and getting into employment.

  • Open doors to a range of exciting opportunities in academic research or professional employment.
  • Our strong ties with industry mean we understand the needs of employers and we have a strong track record of helping graduates into successful, high-level careers.
  • 90% of our graduates are in work or undertaking further study within six months of leaving (Unistats 2015).


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OUTLINE OF THE PROGRAM. The proposed master program aims at training students in fundamental, both theoretical and experimental, physics with applications in photonics, nanotechnology, and quantum technologies. Read more

OUTLINE OF THE PROGRAM

The proposed master program aims at training students in fundamental, both theoretical and experimental, physics with applications in photonics, nanotechnology, and quantum technologies. This combination, innovative at the level of a master program, is well aligned with priority investments in research at the European and international level, with thematic areas of growing demand for highly trained students, able to embark in a doctoral programme. This two-year master programme, fully taught in English for international students, is part of the Graduate School of Sciences of the University Bourgogne Franche-Comté (UBFC). It consists in both lessons and research project (3 month during the first year) / internship (5 months during the second year). This training program will be based on the internationally highly recognised research activities of the underlying laboratories ICB, Dijon and FEMTO-ST, Besançon.

OUR MASTER PROGRAM

This two-year master programme, fully taught in English for international students, combines macroscopic with nano- and quantum-scale topics. The programme aims at developing and improving students’ skills in fundamental optical physics, optical fibre communications, optoelectronics, laser technologies, ultrafast femtosecond optics, quantum information science, nanophotonics, nano-microscopy and nano-biosciences. This combination, innovative at the level of a master program, is well aligned with priority investments in research at the European and international level, and with thematic areas of growing demand for highly trained students.

The master programme is part of the Graduate School of Sciences of the University Bourgogne Franche-Comté (UBFC), Engineering and Innovation through Physical Sciences and High-technologies (EIPHI), which also includes a doctoral programme in the same topics.

Almost half of the programme is devoted to research project (3 month during the first year) & internship (5 months during the second year) in an international research team, leading to a master thesis aiming at the standards of a research article. This training program will be based on the internationally highly recognised research activities of the underlying laboratories ICB, Dijon and FEMTO-ST, Besançon, both having high international visibility in photonics, quantum technologies, nanotechnology and Engineering Sciences with researchers of high reputation.

TEACHING

Teaching consists of lectures, seminars by international researchers (both from the ICB & FEMTO-ST laboratories and from international partner universities), class tutorials, practical training & research work in laboratory, soft skills by professional coaches, technology and entrepreneurial courses by industrial partners, and French culture and language.

FUTURE CAREER PROSPECTS

Photonics is a very dynamic industrial sector in Europe and holds the potential for huge market growth. It has a substantial leverage effect on the European economy and workforce: 20-30% of the economy and 10% of the workforce depend on photonics, directly impacting around 30 million jobs. The master program offers intensive educational activities based on research activities of photonics, including nanophotonics and quantum technologies. It focuses on fundamental & applied research mainly targetting PhD programs, which will lead to recruitment in academia or in industry. A need of master degree students in the field of photonics & nanotechnologies, including specialties in quantum technologies boosted by the European flagship in Quantum Technologies (launched in 2018), able to embark on a PhD program both in academia & industry will strongly increase in a near future.

The master's Alumni Office helps alumni keep in touch with each other and organises alumni events.

LIFE IN DIJON, CAPITAL CITY OF BURGUNDY (FRANCE)

The two-year master program takes place at the University of Burgundy-Franche Comté, located in the scenic cities of Dijon & Besançon. The former capital city of the Duchy of Burgundy, Dijon is a medium-size French city, where you can enjoy a vibrant and active cultural life, as well as quick getaways to the countryside and the world famous neighbouring vineyards of the so-called “Golden coast” (city center, climates of the Burgundy vineyard, and gastronomy listed as world heritage sites in Dijon by Unesco). Life in Dijon is very affordable and accommodation easily accessible. The city is well-equipped with modern tramway and bus lines, making commuting between any place in Dijon and the University easy and convenient. Dijon is also host of several top-level professional sports teams (football, basketball, handball, rugby…), while also offering a large diversity of sports facilities.

STUDENT PROFILE

Students eligible to the master program PPN must have obtained a degree equivalent to or higher than a Bachelor of Science. Background knowledge in general physics, optics, electromagnetism and quantum physics is mandatory. Candidates must have very good academic qualifications and a very good practice of English.

GRANTS

Many scholarships will be awarded each year to high quality foreign students.

APPLICATIONS

During the first year, students have to pass the examinations associated with the Master 1 (60 ECTS credits) in order to proceed to the second year, Master 2 (60 ECTS), including research project and master thesis (33 ECTS).

For further information about how to apply, please directly contact the head of the master program, Professor Stéphane Guérin () and visit the webpage (http://www.ubfc.fr/formationen/).

Please also visit our dedicated webpage (http://blog.u-bourgogne.fr/master-ppn/).



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High-level training in statistics and the modelling of random processes for applications in science, business or health care. Read more

High-level training in statistics and the modelling of random processes for applications in science, business or health care.

For many complex systems in nature and society, stochastics can be used to efficiently describe the randomness present in all these systems, thereby giving the data greater explanatory and predictive power. Examples include statistical mechanics, financial markets, mobile phone networks, and operations research problems. The Master’s specialisation in Applied Stochastics will train you to become a mathematician that can help both scientists and businessmen make better decisions, conclusions and predictions. You’ll be able to bring clarity to the accumulating information overload they receive.

The members of the Applied Stochastics group have ample experience with the pure mathematical side of stochastics. This area provides powerful techniques in functional analysis, partial differential equations, geometry of metric spaces and number theory, for example. The group also often gives advice to both their academic colleagues, and organisations outside of academia. They will therefore not only be able to teach you the theoretical basis you need to solve real world stochastics problems, but also to help you develop the communications skills and professional expertise to cooperate with people from outside of mathematics.

See the website http://www.ru.nl/masters/mathematics/stochastics

Why study Applied Stochastics at Radboud University?

- This specialisation focuses both on theoretical and applied topics. It’s your choice whether you want to specialise in pure theoretical research or perform an internship in a company setting.

- Mathematicians at Radboud University are expanding their knowledge of random graphs and networks, which can be applied in the ever-growing fields of distribution systems, mobile phone networks and social networks.

- In a unique and interesting collaboration with Radboudumc, stochastics students can help researchers at the hospital with very challenging statistical questions.

- Because the Netherlands is known for its expertise in the field of stochastics, it offers a great atmosphere to study this field. And with the existence of the Mastermath programme, you can follow the best mathematics courses in the country, regardless of the university that offers them.

- Teaching takes place in a stimulating, collegial setting with small groups. This ensures that you’ll get plenty of one-on-one time with your thesis supervisor at Radboud University .

- More than 85% of our graduates find a job or a gain a PhD position within a few months of graduating.

Career prospects

Master's programme in Mathematics

Mathematicians are needed in all industries, including the banking, technology and service industries, to name a few. 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.

Job positions

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 and is the reason 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

- Consultant

- ICT developer / software developer

- Policy maker

- Analyst

PhD positions

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.

Our research in this field

The research of members of the Applied Stochastics Department, focuses on combinatorics, (quantum) probability and mathematical statistics. Below, a small sample of the research our members pursue.

Eric Cator’s research has two main themes, probability and statistics.

1. In probability, he works on interacting particles systems, random polymers and last passage percolation. He has also recently begun working on epidemic models on finite graphs.

2. In statistics, he works on problems arising in mathematical statistics, for example in deconvolution problems, the CAR assumption and more recently on the local minimax property of least squares estimators.

Cator also works on more applied problems, usually in collaboration with people from outside statistics, for example on case reserving for insurance companies or airplane maintenance. He has a history of changing subjects: “I like to work on any problem that takes my fancy, so this description might be outdated very quickly!”

Hans Maassen researches quantum probability or non-commutative probability, which concerns a generalisation of probability theory that is broad enough to contain quantum mechanics. He takes part in the Geometry and Quantum Theory (GQT) research cluster of connected universities in the Netherlands. In collaboration with Burkhard Kümmerer he is also developing the theory of quantum Markov chains, their asymptotic completeness and ergodic theory, with applications to quantum optics. Their focal point is shifting towards quantum information and control theory, an area which is rapidly becoming relevant to experimental physicists.

Ross Kang conducts research in probabilistic and extremal combinatorics, with emphasis on graphs (which abstractly represent networks). He works in random graph theory (the study of stochastic models of networks) and often uses the probabilistic method. This involves applying probabilistic tools to shed light on extremes of large-scale behaviour in graphs and other combinatorial structures. He has focused a lot on graph colouring, an old and popular subject made famous by the Four Colour Theorem (erstwhile Conjecture).

See the website http://www.ru.nl/masters/mathematics/stochastics



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The other tracks of the programme are Materials Chemistry, Materials Physics, and Theoretical Physics. Upon graduation, you will be able to use the diverse set of skills acquired as part of this track, including computational and numerical techniques. Read more

The other tracks of the programme are Materials Chemistry, Materials Physics, and Theoretical Physics. Upon graduation, you will be able to use the diverse set of skills acquired as part of this track, including computational and numerical techniques.

Programme structure 

The structure is modular. All modules have 20 ECTS. Each specialisation track has two obligatory modules that contain the core material of the field. In addition, there is one thematic module that may be chosen from the other modules offered within this programme or other programmes at the University of Turku. The fourth module consists of freely chosen courses and an obligatory Finnish language and culture course (5 ECTS). An MSc thesis (30 ECTS) in addition to seminar, internship, and project work (10 ECTS) are also required, details of which depend on the specialisation. 

Academic excellence and experience

The aim of the Master’s education is to support you to become an independent expert who can evaluate information critically, plan and execute research projects to find new knowledge, and to solve scientific and technological problems independently and as part of a group.

The Astronomy and Space Physics track includes a solid grounding in theoretical aspects as well as providing opportunities for observational studies (e.g. of supernovae or accreting black holes); the space physics group performs experimental, theoretical and computational research on high-energy phenomena in near-Earth space.

Master's thesis and topics

The Master’s degree programme includes a compulsory thesis component (30 ECTS), which corresponds to six months of full time work. The thesis is to be written up as a report based on a combination of a literature review and an original research project that forms the bulk of the thesis.

The thesis is an independently made research project but the project will be carried out under the guidance of leading researchers in the field at the University of Turku. It is expected that the student will be embedded within an active research group or experimental team, thereby providing ample opportunity to discuss results and exchange ideas in a group setting.

Specialisation tracks

The Master’s Degree Programme of Physical and Chemical Sciences has four tracks. A short description of each specialisation track is given below. You can find more detailed information of tracks from the specific site of each track in this portal (UTU Masters).

Students specialising in Astronomy and Space Physics can choose among three lines of studies: theoretical astrophysics, observational astronomy and space physics. You will acquire knowledge of various astrophysical phenomena and plasma physics, from Solar system to neutron stars and onto galaxies and cosmology. You will also get hands-on experience with observational techniques, space instrumentation, numerical methods and analysis of large data sets.

The studies of Materials Physics and Materials Chemistry give you an ability to understand and to develop the properties of materials from molecules and nanoparticles via metals, magnetic and semiconducting compounds for pharmaceutical and biomaterial applications. After graduation, you will be familiar with the current methodologies, research equipment and modern numerical methods needed to model properties of materials used in research and technology. Note that there is a sister programme (Master’s Degree Programme in Biomedical Sciences) with a specialisation in medicinal chemistry.

In Theoretical physics you can specialise in various fields at the forefront of European and international research such as quantum technologies, fundamentals of quantum physics, quantum information and optics, quantum field theory and cosmology. You will learn rigorous mathematical and numerical methods to model physical phenomena and solve physical problems with several possible interdisciplinary applications also outside physics. Examples are the studies of complex systems, data science, and machine learning.

Competence description

The Master of Science degree provides the skills to work in many different kinds of positions within areas such as research and development, education and management, and industry. The specialisations of Astronomy and Space Physics provide very good data analysis and programming skills, and thus many graduates have gone on to successful careers in the big data and finance sectors

During the master’s program in astronomy and space physics, you will study plasma physics and hydrodynamics, radiative processes, high-energy astrophysics and solar physics, galaxies and cosmology, astrophysical spectroscopy, radio astronomy and X-ray and gamma-ray astronomy, numerical techniques and programming, statistical methods and particle and photons detectors. You will carry-out hands-on exercises in observational techniques, space instrumentation, and analysis of large data sets. You will also be able to remotely use modern observational facilities and to participate in building space-qualified instruments. You may choose among three lines: space physics, observational astrophysics and theoretical astrophysics. These studies will prepare you for a career in research and development in industry or can often lead into PhD studies.

Job options

The prospects for employment at relatively senior levels is excellent for those trained in the physical and chemical sciences. Thanks to the broad scope of the programme, the skills and knowledge developed as part of this education at the University of Turku provide many employment opportunities in different areas.

Many of our graduates choose to continue their education by pursuing PhD studies in Finland or other European countries (e.g., Belgium, Estonia, Germany and Norway). Others have obtained employment in the software and high-tech industries, for example.

Career in research

The Master’s Degree provides eligibility for scientific postgraduate degree studies. Postgraduate degrees are doctoral and licentiate degrees. The University of Turku Graduate School – UTUGS has a Doctoral Programme in Physical and Chemical Sciences, and covers all of the disciplines of this Master Degree programme. Postgraduate degrees can be completed at the University of Turku. Note that in Finland the doctoral studies incur no tuition fees, and PhD students often receive either a salary, or a grant to cover their living expenses. The Master’s programme is a stepping stone for PhD studies.



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Materials Physics is one of the four specialisation tracks of the Master’s Degree Programme in Physical and Chemical Sciences. Read more

Materials Physics is one of the four specialisation tracks of the Master’s Degree Programme in Physical and Chemical Sciences. The other tracks of the programme are Astronomy and Space Physics, Materials Chemistry, and Theoretical Physics. Upon graduation, you will be able to use the diverse set of skills acquired as part of this track, including experimental, theoretical and numerical techniques to produce and analyse new physical projects.

Programme structure 

The structure is modular. All modules have 20 ECTS. Each specialisation track has two obligatory modules that contain the core material of the field. In addition, there is one thematic module that may be chosen from the other modules offered within this programme or other programmes at the University of Turku. The fourth module consists of freely chosen courses and an obligatory Finnish language and culture course (5 ECTS). An MSc thesis (30 ECTS) in addition to seminar, internship, and project work (10 ECTS) are also required, details of which depend on the specialisation. 

Academic excellence and experience

The aim of the Master’s education is to support you to become an independent expert who can evaluate information critically, plan and execute research projects to find new knowledge, and to solve scientific and technological problems independently and as part of a group.

In the University of Turku, the research and teaching of materials physics has as two focal areas bio- and electronic materials. In biomaterials, you can study e.g. pharmaceutical vectors, nanoporous materials in pharmaceutics and dissociation of DNA-molecules under radiation. In electronics materials, possible topics include semiconducting, magnetic and superconducting materials, spintronics and nanocontacts. You will study the physical basis of current and future electronics.

Master's thesis and topics

The Master’s degree programme includes a compulsory thesis component (30 ECTS), which corresponds to six months of full time work. The thesis is to be written up as a report based on a combination of a literature review and an original research project that forms the bulk of the thesis.

The thesis is an independently made research project but the project will be carried out under the guidance of leading researchers in the field at the University of Turku. It is expected that the student will be embedded within an active research group or experimental team, thereby providing ample opportunity to discuss results and exchange ideas in a group setting.

Recent examples of thesis titles in materials physics have been:

  • Self-organised artificial pinning structure in small-scale YBCO films grown on an advanced IBAD-MgO based template
  • Fabrication and characterisation of resistive memories based on Pr6Ca0.4MnO3
  • Photoluminescence of thermally carbonized and wet-oxidized porous silicon
  • Physical and chemical characterisation methods for metal powders used for additive manufacturing process
  • Surface properties of GaN- and AlGaN-semiconductors and their modification
  • Geometric corrections in computer tomography images
  • Mass spectroscopy investigation of fragmentation of uridine and cytidine molecules

Specialisation tracks

The Master’s Degree Programme of Physical and Chemical Sciences has four tracks. A short description of each specialisation is given below. You can find more detailed information of tracks from the specific site of each track in this portal (UTU Masters).

The studies of Materials Physics and Materials Chemistry give you an ability to understand and to develop the properties of materials from molecules and nanoparticles via metals, magnetic and semiconducting compounds for pharmaceutical and biomaterial applications. After graduation, you will be familiar with the current methodologies, research equipment and modern numerical methods needed to model properties of materials used in research and technology. Note that there is a sister programme (Master’s Degree Programme in Biomedical Sciences) with a specialisation in medicinal chemistry.

Students specialising in Astronomy and Space Physics can choose among three lines of studies: theoretical astrophysics, observational astronomy and space physics. You will acquire knowledge of various astrophysical phenomena and plasma physics, from Solar system to neutron stars and onto galaxies and cosmology. You will also get hands-on experience with observational techniques, space instrumentation, numerical methods and analysis of large data sets.

In Theoretical physics you can specialise in various fields at the forefront of European and international research such as quantum technologies, fundamentals of quantum physics, quantum information and optics, quantum field theory and cosmology. You will learn rigorous mathematical and numerical methods to model physical phenomena and solve physical problems with several possible interdisciplinary applications also outside physics. Examples are the studies of complex systems, data science, and machine learning.

Job options

The prospects for employment at relatively senior levels is excellent for those trained in the physical and chemical sciences. Thanks to the broad scope of the programme, the skills and knowledge developed as part of this education at the University of Turku provide many employment opportunities in different areas.

Our recent MSc’s work e.g. as quality managers in large companies, R&D engineers in biotech and materials companies, security engineers at nuclear power plants.

Career in research

The Master’s Degree provides eligibility for scientific postgraduate degree studies. Postgraduate degrees are doctoral and licentiate degrees. The University of Turku Graduate School – UTUGS has a Doctoral Programme in Physical and Chemical Sciences, and covers all of the disciplines of this Master Degree programme. Postgraduate degrees can be completed at the University of Turku. Note that in Finland the doctoral studies incur no tuition fees, and PhD students often receive either a salary, or a grant to cover their living expenses. The Master’s programme is a stepping stone for PhD studies.



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