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Masters Degrees (Theory Of Relativity)

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From geometry, analysis, partial differential equations and mathematical physics to fluid dynamics, meteorology and modelling in life sciences – our Masters in Mathematics offers you an extraordinary range of research opportunities that lie at the heart of tackling the key scientific questions of our age. Read more
From geometry, analysis, partial differential equations and mathematical physics to fluid dynamics, meteorology and modelling in life sciences – our Masters in Mathematics offers you an extraordinary range of research opportunities that lie at the heart of tackling the key scientific questions of our age.

PROGRAMME OVERVIEW

This programme reflects and benefits from the strong research activities of the Department of Mathematics.

The taught modules and dissertation topics are closely aligned with the interests of the Department’s four research groups:
-Mathematics of Life and Social Sciences
-Dynamical Systems and Partial Differential Equations
-Fields, Strings and Geometry
-Fluids, Meteorology and Symmetry

During the first two semesters you will take a range of taught modules from an extensive list of options, followed by an extended research project conducted over the summer under the supervision of a member of the department, culminating in the writing of a dissertation.

PROGRAMME STRUCTURE

This programme is studied full-time over one academic year. It consists of eight taught modules and a dissertation. The following modules are indicative, reflecting the information available at the time of publication. Please note that not all modules described are compulsory and may be subject to teaching availability and/or student demand.
-Maths of Weather
-Graphs and Networks
-Manifolds and Topology
-Quantum Mechanics
-Numerical Solutions of PDEs
-Functional Analysis and Partial Differential Equations
-Nonlinear Wave Equations
-Representation Theory
-Advanced Techniques in Mathematics
-Lie Algebras
-Nonlinear Patterns
-Geometric Mechanics
-Relativity
-Ecological and Epidemiological Modelling
-Mathematical Biology and Physiology
-Topology
-Non-Commutative Algebra
-Dissertation

CAREERS

Mathematics is not only central to science, technology and finance-related fields, but the logical insight, analytical skills and intellectual discipline gained from a mathematical education are highly sought after in a broad range of other areas such as law, business and management.

There is also a strong demand for new mathematics teachers to meet the ongoing shortage in schools.

As well as being designed to meet the needs of future employers, our MSc programme also provides a solid foundation from which to pursue further research in mathematics or one of the many areas to which mathematical ideas and techniques are applied.

EDUCATIONAL AIMS OF THE PROGRAMME

-To provide graduates with a strong background in advanced mathematical theory and its applications to the solution of real problems
-To develop students understanding of core areas in advanced mathematics including standard tools for the solution of real life applied mathematical problems
-To develop the skill of formulating a mathematical problem from a purely verbal description
-To develop the skill of writing a sophisticated mathematical report and, additionally, in presenting the results in the form of an oral presentation
-To lay a foundation for carrying out mathematical research leading to a research degree and/or a career as a professional mathematician in an academic or non-academic setting

PROGRAMME LEARNING OUTCOMES

Knowledge and understanding
-Knowledge of the core theory and methods of advanced pure and applied mathematics and how to apply that theory to real life problems
-An in-depth study of a specific problem arising in a research context

Intellectual / cognitive skills
-Ability to demonstrate knowledge of key techniques in advanced mathematics and to apply those techniques in problem solving
-Ability to formulate a mathematical description of a problem that may be described only verbally
-An understanding of possible shortcomings of mathematical descriptions of reality
-An ability to use software such as MATLAB and IT facilities more generally including research databases such as MathSciNet and Web of Knowledge

Professional practical skills
-Fluency in advanced mathematical theory
-The ability to interpret the results of the application of that theory
-An awareness of any weaknesses in the assumptions being made and of possible shortcomings with model predictions
-The skill of writing an extended and sophisticated mathematical report and of verbally summarising its content to specialist and/or non-specialist audiences

Key / transferable skills
-Ability to reason logically and creatively
-Effective oral presentation skills
-Written report writing skills
-Skills in independent learning
-Time management
-Use of information and technology

GLOBAL OPPORTUNITIES

We often give our students the opportunity to acquire international experience during their degrees by taking advantage of our exchange agreements with overseas universities.

In addition to the hugely enjoyable and satisfying experience, time spent abroad adds a distinctive element to your CV.

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This is a one year advanced taught course. The aim of this course is to bring students in twelve months to the frontier of elementary particle theory. Read more
This is a one year advanced taught course. The aim of this course is to bring students in twelve months to the frontier of elementary particle theory. This course is intended for students who have already obtained a good first degree in either physics or mathematics, including in the latter case courses in quantum mechanics and relativity.

The course consists of three modules: the first two are the Michaelmas and Epiphany graduate lecture courses, which are assessed by examinations in January and March. The third module is a dissertation on a topic of current research, prepared under the guidance of a supervisor with expertise in the area. We offer a wide variety of possible dissertation topics. The dissertation must be submitted by September 15th, the end of the twelve month course period.

Course Structure

The main group of lectures are given in the first two terms of the academic year (Michaelmas and Epiphany). This part of the lecture course is assessed by examinations. In each term there are two teaching periods of four weeks, with a week's break in the middle of the term in which students will be able to revise the material. Most courses are either eight lectures or 16 lectures in length. There are 14 lectures/week in the Michaelmas term and 14 lectures/week in Epiphany term.

Core Modules

-Introductory Field Theory
-Group Theory
-Standard Model
-General Relativity
-Quantum Electrodynamics
-Quantum Field Theory
-Conformal Field Theory
-Supersymmetry
-Anomalies
-Strong Interaction Physics
-Cosmology
-Superstrings and D-branes
-Non-Perturbative Physics
-Euclidean Field Theory
-Flavour Physics and Effective Field Theory
-Neutrinos and Astroparticle Physics
-2d Quantum Field Theory

Optional Modules available in previous years included:

-Differential Geometry for Physicists
-Boundaries and Defects in Integrable Field Theory
-Computing for Physicists

Learning and Teaching

This is a full-year degree course, starting early October and finishing in the middle of the subsequent September. The aim of the course is to bring students to the frontier of research in elementary particle theory. The course consists of three modules: the first two are the Michaelmas and Epiphany graduate lecture courses. The third module is a dissertation on a topic of current research, prepared under the guidance of a supervisor with expertise in the area. We offer a wide variety of possible dissertation topics.

The lectures begin with a general survey of particle physics and introductory courses on quantum field theory and group theory. These lead on to more specialised topics, amongst others in string theory, cosmology, supersymmetry and more detailed aspects of the standard model.

The main group of lectures is given in the first two terms of the academic year (Michaelmas and Epiphany). This part of the lecture course is assessed by examinations. In each term there are two teaching periods of 4 weeks, with a week's break in the middle of the term in which students will be able to revise the material. Most courses are either 8 lectures or 16 lectures in length. There are 14 lectures/week in the Michaelmas term and 14 lectures/week in Epiphany term they are supported by weekly tutorials. In addition lecturers also set a number of homework assignments which give the student a chance to test his or her understanding of the material.

There are additional optional lectures in the third term. These introduce advanced topics and are intended as preparation for research in these areas.

The dissertation must be submitted by mid-September, the end of the twelve month course period.

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The Masters in Physics. Nuclear Technology provides an understanding of the application of nuclear processes and technology to energy generation, medical physics and environmental monitoring, and at a level appropriate for a professional physicist. Read more
The Masters in Physics: Nuclear Technology provides an understanding of the application of nuclear processes and technology to energy generation, medical physics and environmental monitoring, and at a level appropriate for a professional physicist.

Why this programme

-The University of Glasgow’s School of Physics and Astronomy is ranked 2nd in Scotland (Complete University Guide 2016).
-You will gain theoretical, experimental and computational skills necessary to analyse and solve advanced physics problems relevant to the theme of Nuclear Technology, providing an excellent foundation for a career of scientific leadership.
-With a 93% overall student satisfaction in the National Student Survey 2014, the School of Physics and Astronomy combines both teaching excellence and a supportive learning environment.
-You will benefit from direct contact with our group of international experts who will teach you cutting-edge physics and supervise your projects.

Programme structure

Modes of delivery of the MSc Physics: Nuclear Technology include lectures, seminars and tutorials and allow students the opportunity to take part in lab, project and team work.

Core courses include
-Advanced data analysis
-Detection and analysis of ionising radiation
-Environmental radioactivity
-Imaging and detectors
-Nuclear power reactors
-Research skills
-Extended project

Optional courses include
-Advanced electromagnetic theory
-Advanced nuclear physics
-Computational physics laboratory
-Dynamics, electrodynamics and relativity
-Energy and environment
-Medical imaging
-Nuclear and particle physics
-Numerical methods
-Plasma theory and diagnostics (alternate years starting 2015-16)
-Relativistic quantum fields
-Statistical mechanics

The programme in Physics: Nuclear technology lasts 1 year and contains a minimum of 180 credits. You will undertake a minimum of 120 credits in Semesters 1 and 2 and be assessed on these courses either via continuous assessment, or unseen examination in the May/June examination diet, or a combination thereof. The remaining 60 credits will take the form of an extended MSc project, carried out on a specific aspect of theoretical, computational or experimental physics which has current or potential application in the areas of nuclear technology, nuclear energy, radiation detection or environmental monitoring. You will conduct this project while embedded within a particular research group – under the direct supervision of a member of academic staff.

Your curriculum will be flexible and tailored to your prior experience and expertise, particular research interests and specific nature of the extended research project topic provisionally identified at the beginning of the MSc programme. Generally, however, courses taken in Semester 1 will focus on building core theoretical and experimental/computational skills relevant to the global challenge theme, while courses taken in Semester 2 will build key research skills (in preparation for the extended project).

Industry links and employability

-The School of Physics and Astronomy is highly active in research and knowledge transfer projects with industry. Our Masters students have regular opportunities to engage with our industrial collaborators through informal visits, guest lectures and workshops.
-You will also benefit from our membership of the Scottish Universities Physics Alliance. The alliance brings together internationally leading physics research across Scotland to form the largest physics grouping in the UK.
-Our staff and students come from all around the world providing a truly global experience. The School of Physics and Astronomy is committed to providing an equitable environment for study and work, in line with the principles of Project Juno of the Institute of Physics. This was recognised in 2011 by the award of Juno Champion status. We also have a strong programme of talks and seminars given by experts from the UK and abroad, which will give you the chance of broadening your knowledge in many other areas of physics and astronomy.
-This programme is accredited by the Institute of Physics. Accredited MSc programmes automatically meet the master's level education requirement for Chartered Physicist (CPhys) status. To fully meet the educational requirements for CPhys, graduates must also possess an IOP accredited undergraduate degree or equivalent.

Career prospects

Career opportunities in academic research, based in universities, research institutes, observatories and laboratory facilities; industrial research in a wide range of fields including energy and the environmental sector, IT and semiconductors, optics and lasers, materials science, telecommunications, engineering; banking and commerce; higher education.

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The Masters in Theoretical Physics provides an understanding of the principles and methods of modern physics, with particular emphasis on the theoretical aspects of the subject, and at a level appropriate for a professional physicist. Read more
The Masters in Theoretical Physics provides an understanding of the principles and methods of modern physics, with particular emphasis on the theoretical aspects of the subject, and at a level appropriate for a professional physicist.

Why this programme

-The University of Glasgow’s School of Physics and Astronomy is ranked 2nd in Scotland (Complete University Guide 2016).
-The School plays a leading role in the exploitation of data from the Large Hadron Collider, the world’s largest particle accelerator at CERN.
-With a 93% overall student satisfaction in the National Student Survey 2014, the School of Physics and Astronomy combines both teaching excellence and a supportive learning environment.
-You will gain the theoretical and computational skills necessary to analyse and solve a range of advanced physics problems, providing an excellent foundation for a career of scientific leadership in academia or industry.
-You will develop transferable skills that will improve your career prospects, such as project management, team-working, advanced data analysis, problem-solving, critical evaluation of scientific literature, advanced laboratory and computing skills, and how to effectively communicate with different audiences.
-You will benefit from direct contact with our group of international experts who will teach you cutting-edge physics and supervise your projects.

Programme structure

Modes of delivery of the MSc in Theoretical Physics include lectures, seminars and tutorials and allow students the opportunity to take part in lab, project and team work.

The programme draws upon a wide range of advanced Masters-level courses. You will have the flexibility to tailor your choice of optional lecture courses and project work to a wide variety of specific research topics and their applications in the area of theoretical physics.

Core courses include
-Advanced data analysis
-Quantum information
-Quantum theory
-Research skills
-Extended project

Optional courses include
-Advanced electromagnetic theory
-Advanced mathematical methods
-Applied optics
-Dynamics, electrodynamics and relativity
-General relativity and gravitation (alternate years, offered 2016-17)
-Plasma theory and diagnostics (alternate years, offered 2015-16)
-Relativistic quantum fields
-Statistical mechanics

Industry links and employability

-The School of Physics and Astronomy is highly active in research and knowledge transfer projects with industry. Our Masters students have regular opportunities to engage with our industrial collaborators through informal visits, guest lectures and workshops.
-You will also benefit from our membership of the Scottish Universities Physics Alliance. The alliance brings together internationally leading physics research across Scotland to form the largest physics grouping in the UK.
-Our staff and students come from all around the world providing a truly global experience. The School of Physics and Astronomy is committed to providing an equitable environment for study and work, in line with the principles of Project Juno of the Institute of Physics. This was recognised in 2011 by the award of Juno Champion status. We also have a strong programme of talks and seminars given by experts from the UK and abroad, which will give you the chance of broadening your knowledge in many other areas of physics and astronomy.
-This programme is accredited by the Institute of Physics. Accredited MSc programmes automatically meet the master's level education requirement for Chartered Physicist (CPhys) status. To fully meet the educational requirements for CPhys, graduates must also possess an IOP accredited undergraduate degree or equivalent.

Career prospects

Career opportunities include academic research, based in universities, research institutes, observatories and laboratory facilities; industrial research in a wide range of fields including energy and the environmental sector, IT and semiconductors, optics and lasers, materials science, telecommunications, engineering; banking and commerce; higher education.

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The Masters in Astrophysics gives you an understanding of the principles and methods of modern astrophysics at a level appropriate for a professional physicist. Read more
The Masters in Astrophysics gives you an understanding of the principles and methods of modern astrophysics at a level appropriate for a professional physicist.

Why this programme

-The School has a major role in the award winning NASA RHESSI X-ray mission studying solar flares and in several other forthcoming international space missions such as ESA’s Solar Orbiter.
-The School plays a world-leading role in the design and operation of the worldwide network of laser interferometers leading the search for gravitational waves.
-The University of Glasgow’s School of Physics and Astronomy is ranked 2nd in Scotland (Complete University Guide 2016).
With a 93% overall student satisfaction in the National Student Survey 2014, the School of Physics and Astronomy combines both teaching excellence and a supportive learning environment.
-You will gain the theoretical, observational and computational skills necessary to analyse and solve advanced astrophysics problems, providing you with an excellent foundation for a career of scientific leadership in academia or industry.
-You will develop transferable skills that will improve your career prospects, such as project management, team-working, advanced data analysis, problem-solving, critical evaluation of scientific literature, advanced laboratory and computing skills, and how to effectively communicate with different audiences.
-You will benefit from direct contact with our group of international experts who will teach you cutting-edge physics and supervise your projects.

Programme structure

Modes of delivery of the MSc in Astrophysics include lectures, seminars and tutorials and allow students the opportunity to take part in lab, project and team work.

The programme draws upon a wide range of advanced Masters-level courses. You will have the flexibility to tailor your choice of optional courses and project work to a variety of specific research topics and their applications in the area of astrophysics.

Core courses include
-Advanced data analysis
-General relativity and gravitation (alternate years, starting 2016–17)
-Plasma theory and diagnostics (alternate years, starting 2015–16)
-Pulsars and supernovae (alternate years, starting 2016–17)
-Research skills
-Statistical astronomy (alternate years, starting 2015–16)
-Extended project.

Optional courses include
-Advanced electromagnetic theory
-Applied optics
-Circumstellar matter (alternate years, starting 2015-16)
-Cosmology (alternate years, starting 2016–17)
-Dynamics, electrodynamics and relativity
-Exploring planetary systems (alternate years, starting 2016-17)
-Galaxies (alternate years, starting 2015-16)
-Gravitational wave detection
-Instruments for optical and radio astronomy (alternate years, starting 2016-17)
-Statistical mechanics
-Stellar astrophysics (alternate years, starting 2015–16)

Industry links and employability

-The School of Physics and Astronomy is highly active in research and knowledge transfer projects with industry. Our Masters students have regular opportunities to engage with our industrial collaborators through informal visits, guest lectures and workshops.
-You will also benefit from our membership of the Scottish Universities Physics Alliance. The alliance brings together internationally leading physics research across Scotland to form the largest physics grouping in the UK.
-Our staff and students come from all around the world providing a truly global experience. The School of Physics and Astronomy is committed to providing an equitable environment for study and work, in line with the principles of Project Juno of the Institute of Physics. This was recognised in 2011 by the award of Juno Champion status. We also have a strong programme of talks and seminars given by experts from the UK and abroad, which will give you the chance of broadening your knowledge in many other areas of physics and astronomy.
-This programme is accredited by the Institute of Physics. Accredited MSc programmes automatically meet the master's level education requirement for Chartered Physicist (CPhys) status. To fully meet the educational requirements for CPhys, graduates must also possess an IOP accredited undergraduate degree or equivalent.

Career prospects

Career opportunities include academic research, based in universities, research institutes, observatories and laboratory facilities; industrial research in a wide range of fields including energy and the environmental sector, IT and semiconductors, optics and lasers, materials science, telecommunications, engineering; banking and commerce; higher education.

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A physics programme that covers the inner workings of the universe from the smallest to the largest scale. Although Particle Physics and Astrophysics act on a completely different scale, they both use the laws of physics to study the universe. Read more

Master's specialisation in Particle and Astrophysics

A physics programme that covers the inner workings of the universe from the smallest to the largest scale
Although Particle Physics and Astrophysics act on a completely different scale, they both use the laws of physics to study the universe. In this Master’s specialisation you’ll dive into these extreme worlds and unravel questions like: What did our universe look like in the earliest stages of its existence? What are the most elementary particles that the universe consists of? And how will it evolve?
If you are fascinated by the extreme densities, gravities, and magnetic fields that can be found only in space, or by the formation, evolution, and composition of astrophysical objects, you can focus on the Astrophysics branch within this specialisation. Would you rather study particle interactions and take part in the search for new particles – for example during an internship at CERN - then you can choose a programme full of High Energy Physics. And for students with a major interest in the theories and predictions underlying all experimental work, we offer an extensive programme in mathematical or theoretical physics.
Whatever direction you choose, you’ll learn to solve complex problems and think in an abstract way. This means that you’ll be highly appealing to employers in academia and business. Previous students have, for example, found jobs at Shell, ASML, Philips and space research institute SRON.

See the website http://www.ru.nl/masters/physicsandastronomy/particle

Why study Particle and Astrophysics at Radboud University?

- This Master’s specialisation provides you with a thorough background in High Energy Physics, Astrophysics, and Mathematical Physics and the interface between them.
- Apart from the mandatory programme, there’s plenty of room to adapt the programme to your specific interests.
- The programme offers the opportunity to perform theoretical or experimental research.
- During this specialisation it is possible to participate in large-scale research projects, like the Large Hadron Collider at CERN or the LOFAR telescope.

Career prospects

This Master’s specialisation is an excellent preparation for a career in research, either at a university, at an institute (think of ESA and CERN) or at a company. However, many of our students end up in other business or government positions as well. Whatever job you aspire, you can certainly make use of the fact that you have learned:
- Thinking in an abstract way
- Solving complex problems
- Using statistics
- Computer programming
- Giving presentations

Some of our alumni now work as:
- National project manager at EU Universe Awareness
- Actuarial trainee at Talent & Pro
- Associate Private Equity at HAL Investments
- Consultant at Accenture
- ECO Operations Manager at Ofgem
- Scientist at SRON Netherlands Institute for Space Research
- Technology strategy Manager at Accenture

Working at a company

Other previous students have found jobs at for example:
- Shell
- KNMI
- Liander
- NXP
- ASML
- Philips
- McKinsey
- DSM
- Solvay
- Unilever
- AkzoNobel

Researchers in the field of Particle and Astrophysics develop advanced detector techniques that are often also useful for other applications. This resulted in numerous spin-off companies in for example medical equipment and detectors for industrial processes:
- Medipix
- Amsterdam Scientific Instruments
- Omics2Image
- InnoSeis

PhD positions

At Radboud University, there are typically a few PhD positions per year available in the field of Particle and Astrophysics. Many of our students attained a PhD position, not just at Radboud University, but at universities all over the world.

Our approach to this field

In the Particle and Astrophysics specialisation, you’ll discover both the largest and the smallest scales in the universe. Apart from Astrophysics and High Energy Physics, this specialisation is also aimed at the interface between them: experiments and theory related to the Big Bang, general relativity, dark matter, etc. As all relevant research departments are present at Radboud University – and closely work together – you’re free to choose any focus within this specialisation. For example:

- High energy physics
You’ll dive into particle physics and answer questions about the most fundamental building blocks of matter: leptons and quarks. The goal is to understand particle interactions and look for signs of physics beyond the standard model by confronting theoretical predictions with experimental observations.

- Astrophysics
The Astrophysics department concentrates on the physics of compact objects, such as neutron stars and black holes, and the environments in which they occur. This includes understanding the formation and evolution of galaxies. While galaxies may contain of up to a hundred billion stars, most of their mass actually appears to be in the form of unseen ‘dark matter’, whose nature remains one of the greatest mysteries of modern physics.

- Mathematical physics
Research often starts with predictions, based on mathematical models. That’s why we’ll provide you with a theoretical background, including topics such as the properties of our space-time, quantum gravity and noncommutative geometry.

- Observations and theory
The Universe is an excellent laboratory: it tells us how the physical laws work under conditions of ultra-high temperature, pressure, magnetic fields, and gravity. In this specialisation you’ll learn how to decode that information, making use of advanced telescopes and observatories. Moreover, we’ll provide you with a thorough theoretical background in particle and astrophysics. After you’ve got acquainted with both methods, you can choose to focus more on theoretical physics or experimental physics.

- Personal approach
If you’re not yet sure what focus within this specialisation would best fit your interests, you can always ask one of the teachers to help you during your Master’s. Based on the courses that you like and your research ambitions, they can provide you with advice about electives and the internship(s).

See the website http://www.ru.nl/masters/physicsandastronomy/particle

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The MSc Theoretical Physics programme will provide you with exposure to a very wide range of world-leading teaching and research skills. Read more
The 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.

Key benefits

- This intensive programme covers basic topics in theoretical and mathematical physics such as general relativity and quantum field theory, and leads to advanced topics such as string theory, supersymmetry and integrable quantum field theory.

- Intimate class environment with small class sizes (typically fewer than 30 students per module) allows good student-lecturer interactions.

- A full 12-month course with a three-month supervised summer project to give a real introduction to research.

Visit the website: http://www.kcl.ac.uk/study/postgraduate/taught-courses/theoretical-physics-msc.aspx

Course detail

- Description -

The master's is organised on a module system together with an individual project. You will take eight taught modules of which at least five will be from the list: Mechanics, Relativity & Quantum Theory; Quantum Mechanics II; Quantum Field Theory; Lie Groups & Lie Algebras; Manifolds; Space-time Geometry and General Relativity; Advanced General Relativity; Supersymmetry & Gauge Theory; String Theory and Branes; Mathematical Methods for Theoretical Physics; Standard Model Physics and Beyond.

The remaining modules can be drawn from the wide range of theoretical physics or pure mathematics MSc courses available in London, the Financial Mathematics MSc in King's and at most two courses from the undergraduate programme at King's. The project is undertaken over the summer in an area of current research.

- Purpose -

The purpose of this programme is to provide a coherent and comprehensive introduction to the main building blocks of modern theoretical physics, preparing students for active research at the forefront of this discipline.

- Course format and assessment -

At least eight taught modules assessed by written examinations and one individual project.

Career prospects

Many of our very successful graduates go on to start PhD studies in theoretical physics at various universities in the United Kingdom and abroad, including with our group here at King's, for which the MSc is particularly well tailored. Our graduates also take up full-time employment in various industries that require good mathematical/computer knowledge or that look for intelligent and creative people. Recent employers of our graduates include the Algerian Space Agency, FRM Capital Advisors and Lloyds Banking Group.

How to apply: http://www.kcl.ac.uk/study/postgraduate/apply/taught-courses.aspx

About Postgraduate Study at King’s College London:

To study for a postgraduate degree at King’s College London is to study at the city’s most central university and at one of the top 20 universities worldwide (2015/16 QS World Rankings). Graduates will benefit from close connections with the UK’s professional, political, legal, commercial, scientific and cultural life, while the excellent reputation of our MA and MRes programmes ensures our postgraduate alumni are highly sought after by some of the world’s most prestigious employers. We provide graduates with skills that are highly valued in business, government, academia and the professions.

Scholarships & Funding:

All current PGT offer-holders and new PGT applicants are welcome to apply for the scholarships. For more information and to learn how to apply visit: http://www.kcl.ac.uk/study/pg/funding/sources

Free language tuition with the Modern Language Centre:

If you are studying for any postgraduate taught degree at King’s you can take a module from a choice of over 25 languages without any additional cost. Visit: http://www.kcl.ac.uk/mlc

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Our MSc Mathematics programme consists of a wide range of modules and a written project. Read more
Our MSc Mathematics programme consists of a wide range of modules and a written project. Your module choices will be mainly from the two main blocks of pure mathematics and theoretical physics but you are also able to choose certain modules from the Financial Mathematics programme and at other University of London institutions, subject to approval.

Key benefits

- An intensive course covering a wide range of basic and advanced topics.

- Intimate class environment with small class sizes (typically fewer than twenty students on a module) allowing good student-lecturer interactions.

- A full twelve-month course with a three-month supervised summer project to give a real introduction to research.

Visit the website: http://www.kcl.ac.uk/study/postgraduate/taught-courses/mathematics-msc.aspx

Course detail

- Description -

The majority of the eight modules are taken from blocks of pure mathematics and theoretical physics, with other options from the MSc Financial Mathematics and other University of London institutions available, subject to approval.

Pure Mathematics:

- Metric & Banach Spaces
- Complex Analysis
- Fourier Analysis
- Non-linear Analysis (new in 2013)
- Operator Theory
- Galois Theory
- Lie Groups & Lie Algebras
- Algebraic Number Theory
- Algebraic Geometry
- Manifolds
- Real Analysis II
- Topology
- Rings & Modules
- Representation Theory of Finite Groups

Theoretical Physics:

- Quantum Field Theory
- String Theory & Branes
- Supersymmetry
- Advanced Quantum Field Theory
- Spacetime geometry and General Relativity
- Advanced General Relativity
- Low-dimensional Quantum Field Theory

- Course purpose -

This programme is suitable for Mathematics graduates who wish to study more advanced mathematics. The programme ideally prepares students for PhD study in a mathematical discipline.

- Course format and assessment -

Eight modules assessed by written examinations; one individual project.

Career prospects

Many of our graduates take up full-time employment in various industries that require good mathematical/computer knowledge or that look for intelligent and creative people. Recent employers of our graduates include Barclays Bank, Kinetic Partners, Lloyds Banking Group and Sapient.

How to apply: http://www.kcl.ac.uk/study/postgraduate/apply/taught-courses.aspx

About Postgraduate Study at King’s College London:

To study for a postgraduate degree at King’s College London is to study at the city’s most central university and at one of the top 20 universities worldwide (2015/16 QS World Rankings). Graduates will benefit from close connections with the UK’s professional, political, legal, commercial, scientific and cultural life, while the excellent reputation of our MA and MRes programmes ensures our postgraduate alumni are highly sought after by some of the world’s most prestigious employers. We provide graduates with skills that are highly valued in business, government, academia and the professions.

Scholarships & Funding:

All current PGT offer-holders and new PGT applicants are welcome to apply for the scholarships. For more information and to learn how to apply visit: http://www.kcl.ac.uk/study/pg/funding/sources

Free language tuition with the Modern Language Centre:

If you are studying for any postgraduate taught degree at King’s you can take a module from a choice of over 25 languages without any additional cost. Visit: http://www.kcl.ac.uk/mlc

Read less
his is a one year advanced taught course. The aim of this course is to bring students in twelve months to the frontier of elementary particle theory. Read more
his is a one year advanced taught course. The aim of this course is to bring students in twelve months to the frontier of elementary particle theory. This course is intended for students who have already obtained a good first degree in either physics or mathematics, including in the latter case courses in quantum mechanics and relativity.

The course consists of three modules: the first two are the Michaelmas and Epiphany graduate lecture courses, which are assessed by examinations in January and March. The third module is a dissertation on a topic of current research, prepared under the guidance of a supervisor with expertise in the area. We offer a wide variety of possible dissertation topics. The dissertation must be submitted by September 15th, the end of the twelve month course period.

Course Structure
The main group of lectures are given in the first two terms of the academic year (Michaelmas and Epiphany). This part of the lecture course is assessed by examinations. In each term there are two teaching periods of 4 weeks, with a week's break in the middle of the term in which students will be able to revise the material. most courses are either 8 lectures or 16 lectures in length. There are 14 lectures/week in the Michaelmas term and 14 lectures/week in Epiphany term.

Core Modules
- Introductory Field Theory
- Group Theory
- Standard Model
- General Relativity
- Quantum Electrodynamics
- Quantum Field Theory
- Conformal Field Theory
- Supersymmetry
- Anomalies
- Strong Interaction Physics
- Cosmology
- Superstrings and D-branes
- Non-Perturbative Physics
- Euclidean Field Theory
- Flavour Physics and Effective Field Theory
- Neutrinos and Astroparticle Physics
- 2d Quantum Field Theory
- Optional Modules
- Differential Geometry for Physicists
- Boundaries and Defects in Integrable Field Theory
- Computing for Physicists.

For further information on this course, please visit the Centre for Particle Theory website (http://www.cpt.dur.ac.uk/GraduateStudies)

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The Master's programme in History and Philosophy of Science offers a unique opportunity to study the foundations, practice and culture of science from historical and philosophical perspectives. Read more

History and Philosophy of Science

The Master's programme in History and Philosophy of Science offers a unique opportunity to study the foundations, practice and culture of science from historical and philosophical perspectives.

This two-year master's programme encompasses the history and philosophy of the natural sciences, humanities, social sciences, medicine, and mathematics.
The historical approach focuses on the development of scientific thought and practice in times past, including the relations between science and cultural, social or institutional features at particular times and places. The focus is mostly on the early modern and modern periods (17th-20th century). Philosophy of science studies questions concerning the nature of scientific knowledge, methods and explanations. It also includes conceptual analysis of fundamental theories such as relativity theory, quantum mechanics, evolution and modern genetics.

The programme is both broad and flexible. The main specializations are: History of Science or the Humanities, Philosophy of Science, Foundations of Physics, and Foundations of Mathematics and Logic.

Nearly half of our alumni continue in PhD programmes in Utrecht or elsewhere. Many have also found employment in science communication, science policy, consultancy, or other fields.

This programme is the only English-taught programme in the field on the European continent.

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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. Read more

Programme description

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.

Programme structure

Taught courses

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 up to half of the taught course element.

Dissertation

Following the taught component of the programme, you will undertake a three-month research project, which leads to a dissertation.

Industry-based dissertation projects

Through the School's strong links with industry, we offer our students the opportunity to undertake their dissertation project with one of a wide range of local companies..

By undertaking an industry-based dissertation project you will have the opportunity to enhance your skills and employability by tackling a real-world industry project, gaining work place experience, exploring potential career paths and building relationships with local companies.

Learning outcomes

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.

Career opportunities

These degrees are designed to prepare you for a research career in academia or industry by introducing advanced ideas and techniques that are applicable to a wide range of research areas and sectors including academia, industry, education and finance.

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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. Read 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.

Why this programme

-The University of Glasgow’s School of Mathematics and Statistics is ranked 4th in Scotland (Complete University Guide 2015).
-The School has a strong international reputation in pure and applied mathematics research and our PGT programmes in Mathematics offer a large range of courses ranging from pure algebra and analysis to courses on mathematical biology and fluids.
-You will be taught by experts across a wide range of pure and applied mathematics and you will develop a mature understanding of fundamental theories and analytical skills applicable to many situations.
-You will participate in an extensive and varied seminar programme, are taught by internationally renowned lecturers and experience a wide variety of projects.
-Our students graduate with a varied skill set, including core professional skills, and a portfolio of substantive applied and practical work.
-With a 94% overall student satisfaction in the National Student Survey 2014, the School of Mathematics and Statistics combines both teaching excellence and a supportive learning environment.

Programme structure

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.

Level-H courses (10 or 20 credits)
-Algebraic & geometric topology
-Continuum mechanics & elasticity
-Differential geometry
-Fluid mechanics
-Functional analysis
-Further complex analysis
-Galois theory
-Mathematical biology
-Mathematical physics
-Numerical methods
-Number theory
-Partial differential equations
-Topics in algebra

Level-M courses (20 credits)
-Advanced algebraic & geometric topology
-Advanced differential geometry & topology
-Advanced functional analysis
-Advanced methods in differential equations
-Advanced numerical methods
-Biological & physiological fluid mechanics
-Commutative algebra & algebraic geometry
-Elasticity
-Fourier analysis
-Further topics in group theory
-Lie groups, lie algebras & their representations
-Magnetohydrodynamics
-Operator algebras
-Solitons
-Special relativity & classical field theory

SMSTC courses (20 credits)
-Algebra 1
-Algebra 2
-Applied analysis and PDEs 1
-Applied analysis and PDEs 2
-Applied mathematical methods 1
-Applied mathematical methods 2
-Geometry and topology 1
-Geometry and topology 2
-Mathematical modelling 1
-Mathematical modelling 2
-Pure analysis 1
-Pure analysis 2.

The project titles are offered each year by academic staff and so change annually

Career prospects

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.

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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. Read more

Programme description

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.

Programme structure

Taught courses

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.

Dissertation

Following the taught component of the programme, you will undertake a three-month research project, which leads to a dissertation.

Industry-based dissertation projects

Through the School’s strong links with industry, we offer our students the opportunity to undertake their dissertation project with one of a wide range of local companies.

By undertaking an industry-based dissertation project you will have the opportunity to enhance your skills and employability by tackling a real-world industry project, gaining work place experience, exploring potential career paths and building relationships with local companies.

Learning outcomes

By engaging with and completing the MSc in Theoretical 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.

Career opportunities

These degrees are designed to prepare you for a research career in academia or industry by introducing advanced ideas and techniques that are applicable to a wide range of research areas and sectors including academia, industry, education and finance.

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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.

- The University of Nottingham is ranked in the top 1% of all universities worldwide.

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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This programme is for students with an undergraduate degree containing a significant component of Mathematics who wish to upgrade their degree in Mathematics and spend a year in a leading UK Mathematics Department. Read more
This programme is for students with an undergraduate degree containing a significant component of Mathematics who wish to upgrade their degree in Mathematics and spend a year in a leading UK Mathematics Department. On completion with a Merit or Distinction you may be considered for the MSc programme.

Key benefits

- An intensive programme preparing students for further study at MSc and PhD level and for work in the non-academic sector.

- A flexible programme allowing students to plan an individual programme.

- A transitional programme providing students with an excellent opportunity to upgrade their degree in Mathematics.

Visit the website: http://www.kcl.ac.uk/study/postgraduate/taught-courses/mathematics-grad-dip.aspx

Course detail

- Description -

You will attend eight of the courses currently offered to BSc or MSci students. Subject to timetable constraints, considerable choice is possible. The courses available, which change slightly from year to year, include.

- Course purpose -

For students with an undergraduate degree or equivalent who wish to have the experience of one year in a leading UK Mathematics Department, or who may not be immediately eligible for entry to a higher degree in the UK and who wish to upgrade their degree. If you successfully complete this programme with a merit or distinction we may consider you for the MSc programme.

- Course format and assessment -

You must take eight modules which may include an individual project on a subject of your choice. Examples of modules are listed below:

- Elementary Number Theory
- Partial Differential Equations & Complex Variables
- Linear Algebra
- Geometry of Surfaces
- Real Analysis II
- Complex Analysis
- Galois Theory
- Topology
- Special Relativity & Electromagnetism
- Introductory Quantum Theory
- Space-time Geometry & General Relativity
- Mathematical Finance I: Discrete Time
- Mathematical Finance II: Continuous Time
- Rings & Modules
- Representation Theory of Finite Groups
- Control Theory
- Stochastics
- Fourier Analysis
- Applied Analytic Methods
- Project (mathematical topic)

You will also take examinations, mostly in May/June.

Career prospects

Further study at MSc and PhD level, employment as analysts in investment banks and industrial researchers in large companies.

How to apply: http://www.kcl.ac.uk/study/postgraduate/apply/taught-courses.aspx

About Postgraduate Study at King’s College London:

To study for a postgraduate degree at King’s College London is to study at the city’s most central university and at one of the top 20 universities worldwide (2015/16 QS World Rankings). Graduates will benefit from close connections with the UK’s professional, political, legal, commercial, scientific and cultural life, while the excellent reputation of our MA and MRes programmes ensures our postgraduate alumni are highly sought after by some of the world’s most prestigious employers. We provide graduates with skills that are highly valued in business, government, academia and the professions.

Scholarships & Funding:

All current PGT offer-holders and new PGT applicants are welcome to apply for the scholarships. For more information and to learn how to apply visit: http://www.kcl.ac.uk/study/pg/funding/sources

Free language tuition with the Modern Language Centre:

If you are studying for any postgraduate taught degree at King’s you can take a module from a choice of over 25 languages without any additional cost. Visit: http://www.kcl.ac.uk/mlc

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