imperial maths phd students

Our cookies

We use cookies for three reasons: to give you the best experience on PGS, to make sure the PGS ads you see on other sites are relevant , and to measure website usage. Some of these cookies are necessary to help the site work properly and can’t be switched off. Cookies also support us to provide our services for free, and by click on “Accept” below, you are agreeing to our use of cookies .You can manage your preferences now or at any time.

Privacy overview

We use cookies, which are small text files placed on your computer, to allow the site to work for you, improve your user experience, to provide us with information about how our site is used, and to deliver personalised ads which help fund our work and deliver our service to you for free.

The information does not usually directly identify you, but it can give you a more personalised web experience.

You can accept all, or else manage cookies individually. However, blocking some types of cookies may affect your experience of the site and the services we are able to offer.

You can change your cookies preference at any time by visiting our Cookies Notice page. Please remember to clear your browsing data and cookies when you change your cookies preferences. This will remove all cookies previously placed on your browser.

For more detailed information about the cookies we use, or how to clear your browser cookies data see our Cookies Notice

Manage consent preferences

Strictly necessary cookies

These cookies are necessary for the website to function and cannot be switched off in our systems.

They are essential for you to browse the website and use its features.

You can set your browser to block or alert you about these cookies, but some parts of the site will not then work. We can’t identify you from these cookies.

Functional cookies

These help us personalise our sites for you by remembering your preferences and settings. They may be set by us or by third party providers, whose services we have added to our pages. If you do not allow these cookies, then these services may not function properly.

Performance cookies

These cookies allow us to count visits and see where our traffic comes from, so we can measure and improve the performance of our site. They help us to know which pages are popular and see how visitors move around the site. The cookies cannot directly identify any individual users.

If you do not allow these cookies we will not know when you have visited our site and will not be able to improve its performance for you.

Marketing cookies

These cookies may be set through our site by social media services or our advertising partners. Social media cookies enable you to share our content with your friends and networks. They can track your browser across other sites and build up a profile of your interests. If you do not allow these cookies you may not be able to see or use the content sharing tools.

Advertising cookies may be used to build a profile of your interests and show you relevant adverts on other sites. They do not store directly personal information, but work by uniquely identifying your browser and internet device. If you do not allow these cookies, you will still see ads, but they won’t be tailored to your interests.

Mathematics PhD

Imperial college london, different course options.

• Key information

Course Summary

Tuition fees, entry requirements, similar courses at different universities, key information data source : idp connect, qualification type.

PhD/DPhil - Doctor of Philosophy

Subject areas

Mathematics (General)

Course type

A research degree is a very individual experience, more so than an undergraduate degree. While the overarching structure will be identical or similar across the university, individual research projects, research interactions and assessment interactions will differ. This environment can provide a rich learning experience for student cohorts discussing their experiences.

A research degree has an exciting scope for collaborations and working as a team and as such, learning or enhancing your communication and people management skills. It is highly creative and can be more unpredictable than an undergraduate degree. A research degree is not simply about collecting results or data but also querying these and discussing them with others. Learning is continuous and poor experimental results can form part of research learning and success. Unlike a typical classroom experience of an undergraduate degree, a research degree will empower you to drive your own learning experience and expand your knowledge in a variety of ways.

The research interests of members of the Section span a wide range of topics, including: algebra and algebraic combinatorics, analysis and probability, stochastic analysis, geometry, number theory and algebraic geometry.

UK fees Course fees for UK students

For this course (per year)

International fees Course fees for EU and international students

Students should hold or achieve a Master's degree in addition to a Bachelor's degree at UK Upper Second Class Honours Level.

Mathematical Modelling MSc

Ucl (university college london), pgce mathematics, pgce primary (specialist mathematics full-time), mathematics mphil/phd, mathematics (graduate certificate), birkbeck, university of london.

Personalise what you see on this page.

Looking for.

• Undergraduate courses
• Clearing courses
• Postgraduate courses
• CHOOSE ONE OR MORE

Popular universities

• University of Kent
• University of East Anglia UEA
• University of Chester
• Coventry University
• University of Aberdeen
• University of Portmouth
• Nottingham Trent University
• University of Sunderland
• London Metropolitan University
• London South Bank University
• University of East London
• BROWSE ALL UNIVERSITIES

Course search

Popular undergraduate courses.

• Computer Science
• LLB Bachelor of Laws
• Biomedical Sciences
• Physiotherapy
• Sports Science

Open days search

Upcoming open days.

• Leeds Conservatoire
• Ulster University
• Teesside University, Middlesbrough
• University of Portsmouth

University of Bath

Article search

Popular topics.

• Clearing advice for students
• Clearing advice for parents
• Clearing advice for teachers
• League tables
• Getting ready for uni

Popular articles

• What is UCAS Extra?
• Applying directly into Clearing
• Clearing success stories
• What's a university open day
• How university rankings can help you through Clearing
• BROWSE ALL ADVICE

Mathematics PhD Imperial College London

Course options

Qualification.

PhD/DPhil - Doctor of Philosophy

Imperial College London

• TUITION FEES
• ENTRY REQUIREMENT
• UNIVERSITY INFO

Course summary

A research degree is a very individual experience, more so than an undergraduate degree. While the overarching structure will be identical or similar across the university, individual research projects, research interactions and assessment interactions will differ. This environment can provide a rich learning experience for student cohorts discussing their experiences.

A research degree has an exciting scope for collaborations and working as a team and as such, learning or enhancing your communication and people management skills. It is highly creative and can be more unpredictable than an undergraduate degree. A research degree is not simply about collecting results or data but also querying these and discussing them with others. Learning is continuous and poor experimental results can form part of research learning and success. Unlike a typical classroom experience of an undergraduate degree, a research degree will empower you to drive your own learning experience and expand your knowledge in a variety of ways.

The research interests of members of the Section span a wide range of topics, including: algebra and algebraic combinatorics, analysis and probability, stochastic analysis, geometry, number theory and algebraic geometry.

Tuition fees

• Afghanistan
• Antigua & Barbuda
• Bosnia and Herzegovina
• Burkina Faso
• Central African Republic
• Congo (Democratic Republic)
• Czech Republic
• Dominican Republic
• El Salvador
• Equatorial Guinea
• Guinea-Bissau
• Ivory Coast
• Korea DPR (North Korea)
• Liechtenstein
• Marshall Islands
• Netherlands
• New Zealand
• Northern Ireland
• Palestinian Authority
• Papua New Guinea
• Philippines
• Puerto Rico
• Republic of Ireland
• Sao Tome and Principe
• Saudi Arabia
• Sierra Leone
• Solomon Islands
• South Africa
• South Korea
• South Sudan
• St. Kitts & Nevis
• Switzerland
• Trinidad & Tobago
• Turkmenistan
• United Kingdom
• United States
• Vatican City
• Western Samoa

£ 21,600 per year

Tuition fees shown are for indicative purposes and may vary. Please check with the institution for most up to date details.

University information

University league table, campus address.

Imperial College London, South Kensington Campus, Kensington and Chelsea, SW7 2AZ, England

Subject rankings

Subject ranking.

3rd out of 65

Entry standards

Graduate prospects

Student satisfaction

Suggested courses

Mathematical Sciences Integrated PhD

Brunel University London

University league table

Mathematics with Data Science for Industry with Placement MSc

Mathematics league table

Mathematics/Applied Mathematics MSc

University of Glasgow

Is this page useful?

Sorry about that..., how can we improve it, thanks for your feedback.

An EPSRC Doctoral Training Centre in Geometry and Number Theory

London school of geometry & number theory.

• About LSGNT
• Industrial Partners
• Programme Information
• LSGNT Filmed Courses
• Students – 2023
• Students – 2022
• Students – 2021
• Students – 2020
• Students – 2019
• Students – 2018
• Students – 2017
• Students – 2016
• Students – 2015
• Students – 2014
• Students – 0
• Women in Mathematics
• LSGNT Students studying Pure Mathematics
• What Are We Looking For In An Applicant?
• LSGNT Interview Process

London School of Geometry and Number Theory

A joint venture of Imperial College, King's College London and University College London with funding from EPSRC as an EPSRC Centre for Doctoral Training.

The London School of Geometry and Number Theory

Our programme.

A 4-year PhD programme comprising a largely taught first year followed by a 3-year research project , with approximately 50 supervisors available across Imperial College London, King's College London & University College London.

Find out more about our programme

Applications currently closed

Check back soon for more information.

About applying

In the News

Lsgnt 2024 admissions portal.

Our admissions portal for applications for our September 2024 intake has now closed and applications are now being reviewed. To apply for our programme, please visit our 'Apply' page. Advice on what we are looking for in an applicant and what you can expect in an interview can be found on our 'Studying at the LSGNT' page .

Studying at the LSGNT

• Find out what it's like to study at the LSGNT from our students by watching our LSGNT film!

Copyright © 2013 – 2024 London School of Geometry and Number Theory. All rights reserved.

• Admin panel

We have 1 Imperial College London Mathematics PhD Projects, Programmes & Scholarships for Non-European Students

Mathematics

All locations

Institution

Imperial College London

All PhD Types

I am a non-European student

Imperial College London Mathematics PhD Projects, Programmes & Scholarships for Non-European Students

Epsrc centre for doctoral training in the mathematics for our future climate: theory, data and simulation, funded phd programme (students worldwide).

Some or all of the PhD opportunities in this programme have funding attached. Applications for this programme are welcome from suitably qualified candidates worldwide. Funding may only be available to a limited set of nationalities and you should read the full programme details for further information.

EPSRC Centre for Doctoral Training

EPSRC Centres for Doctoral Training conduct research and training in priority areas funded by the UK Engineering and Physical Sciences Research Council. Potential PhD topics are usually defined in advance. Students may receive additional training and development opportunities as part of their programme.

FindAPhD. Copyright 2005-2024 All rights reserved.

Unknown    ( change )

Have you got time to answer some quick questions about PhD study?

Select your nearest city

You haven’t completed your profile yet. To get the most out of FindAPhD, finish your profile and receive these benefits:

• Monthly chance to win one of ten £10 Amazon vouchers ; winners will be notified every month.*
• The latest PhD projects delivered straight to your inbox
• Access to our £6,000 scholarship competition
• Weekly newsletter with funding opportunities, research proposal tips and much more
• Early access to our physical and virtual postgraduate study fairs

Or begin browsing FindAPhD.com

or begin browsing FindAPhD.com

*Offer only available for the duration of your active subscription, and subject to change. You MUST claim your prize within 72 hours, if not we will redraw.

Do you want hassle-free information and advice?

Create your FindAPhD account and sign up to our newsletter:

• Find out about funding opportunities and application tips
• Receive weekly advice, student stories and the latest PhD news
• Hear about our upcoming study fairs
• Save your favourite projects, track enquiries and get personalised subject updates

Create your account

Looking to list your PhD opportunities? Log in here .

Filtering Results

Mathematics MPhil/PhD

London, Bloomsbury

The department is home to many internationally renowned mathematicians. Our students go on to pursue successful careers in a variety of settings, primarily as postdoctoral researchers or in the world of finance. Excellent networking opportunities are provided by our central London location and close research links to other London universities.

UK tuition fees (2024/25)

Overseas tuition fees (2024/25), programme starts, applications accepted.

• Entry requirements

A minimum of an upper second-class UK Bachelor’s degree in a relevant discipline or an overseas qualification of an equivalent standard. Where possible, candidates are always interviewed. For overseas candidates there will be an alternative interview by telephone or Skype.

The English language level for this programme is: Level 1

UCL Pre-Master's and Pre-sessional English courses are for international students who are aiming to study for a postgraduate degree at UCL. The courses will develop your academic English and academic skills required to succeed at postgraduate level.

Further information can be found on our English language requirements page.

If you are intending to apply for a time-limited visa to complete your UCL studies (e.g., Student visa, Skilled worker visa, PBS dependant visa etc.) you may be required to obtain ATAS clearance . This will be confirmed to you if you obtain an offer of a place. Please note that ATAS processing times can take up to six months, so we recommend you consider these timelines when submitting your application to UCL.

Equivalent qualifications

Country-specific information, including details of when UCL representatives are visiting your part of the world, can be obtained from the International Students website .

International applicants can find out the equivalent qualification for their country by selecting from the list below. Please note that the equivalency will correspond to the broad UK degree classification stated on this page (e.g. upper second-class). Where a specific overall percentage is required in the UK qualification, the international equivalency will be higher than that stated below. Please contact Graduate Admissions should you require further advice.

About this degree

We offer research supervision across a broad range of pure and applied mathematics. General areas of expertise in pure mathematics include analysis, geometry, number theory and topology. In applied mathematics key areas of activity include fluid dynamics, mathematical modelling, mathematical physics, mathematical biology, applied and numerical analysis and financial mathematics.

Who this course is for

Our research degree programme is aimed at graduate students in mathematics or related sciences. Applicants will have analytical skills, and have formed a strong interest in pursuing mathematical research.

What this course will give you

The department offers a unique combination of outstanding research supervision and a rich community of students. It is sufficiently large for wide-ranging research activity but remains compact enough for academic staff to be highly accessible.

UCL’s role in the London School of Geometry and Number Theory (LSGNT) and London Taught Course Centre, as well as numerous intercollegiate seminars, ensures that students are firmly integrated into the wider mathematical community.

Some PhD projects are supervised jointly with industrial partners, or with other UCL departments or by interdisciplinary centres, with a unique critical mass of interdisciplinary activities at UCL.

The foundation of your career

Many of our students have go on to careers in financial services in the City; others have proceeded to postdoctoral research and academic careers.

Employability

Recent graduates have taken up academic posts at universities such as UCL, Imperial College London, Michigan, Sheffield, Mexico, Kyoto, California State, Others have joined the financial services industry with companies such as Barclays Capital, Schroders, Deloitte, ABN Amro and J. P. Morgan; Other graduates have become mathematics teachers and computer programmers.

A further example of employer destinations in industry would be Formula One motor racing development. Some students have summer secondments, such as two recent summer secondments at the Department of Business, Innovation and Skills.

Students closely interact with their peers from other London universities via the London Taught Course Centre, which offers a programme of advanced courses in mathematics and statistics one day a week for PhD research students in the region, as well as short intensive courses open to students from elsewhere in the UK and Europe.

You will have the chance to attend the departmental postgraduate seminar run by the students for the students, as well as other seminars both within and outside the department. You'll also have the opportunity to take part in a vigorous conferences programme.

Conferences recently hosted by the department include the Numerical Methods for MFG and related PDE Workshop, a lecture course on Regularity of Area Minimising Hypersurfaces, a conference on contact geometry and the British Applied Mathematics Colloquium, and the London Mathematical Biology Conference.

Teaching and learning

The degree is predominantly research-based and is overseen by a Principal Supervisor. Additionally all students are required to undergo training aimed at developing their presentation skills and gaining a broader knowledge of mathematics through modules (e.g. those offered by the London Taught Course Centre), seminars and conference attendance.

After 12-18 months, students are upgraded from MPhil to PhD candidature subject to assessment by a panel on the basis of a written report and oral examination. Ultimately, the student submits a thesis meeting the requirements of a UCL research degree as assessed by nominated examiners at an oral examination.

In a typical week you will meet your supervisory team for up to 2 hours. Short lecture courses, attending seminars, conferences or group meetings will amount to several additional hours per week. The majority of time is self-directed study.

Research areas and structure

Departmental research specialities fall within the two main groupings of pure and applied mathematics described below, and graduate research may be pursued within either field.

• Applied mathematics : environmental flows (including vortex dynamics, atmospheric and ocean dynamics and climate modelling); fluid mechanics (e.g. free-surface flows, polymers); industrial mathematics (e.g. inverse models, sound transmission, multi-particle interactions); mathematical biology and medicine (e.g. modelling cerebral and liver blood flow, molecular and cellular dynamics); gravitation, integrable systems; mathematical modelling; applied partial differential equations; numerical analysis and scientific computing; financial mathematics
• Pure mathematics : functional analysis; real and complex analysis; spectral theory; combinatorics; algebraic number theory; geometric topology; discrete and convex geometry; probability theory; geometric group theory; symplectic and contact topology

Research environment

The department is home to many internationally renowned mathematicians. We are delighted to be among the strongest mathematical science departments in the UK. In the Research excellence Framework 2021, UCL Mathematical Sciences was ranked 5th in the UK in terms of the number of papers ranked 3* or 4*. The expertise of our faculty covers the range of pure and applied mathematics with particular highlights including our leadership of the London School of Geometry and Number Theory which offers outstanding opportunities to early career young researchers in these fields. Numerous subject specific college seminars as well as intercollegiate seminars ensure that all PhD students have access to cutting edge research in their field.

Your primary activity in all years of study is to pursue research on your chosen research topic. This is conducted in close consultation with your primary supervisor.

During the first year you will usually take four courses from the inter-collegiate London Taught Course Centre. 

At or near the start of the second year students you will submit an upgrade report that is examined by a viva voce. On successful completion of this upgrade you will move from "MPhil" to "PhD" status.

Your primary activity in all years of study is to pursue research on your chosen research topic. This is conducted in close consultation with your primary supervisor. During the first two years you will usually take four courses from the inter-collegiate London Taught Course Centre. At or near the end of the third year students will submit an upgrade report that is examined by a viva voce. On successful completion of this upgrade you will move from MPhil to PhD status.

Accessibility

Details of the accessibility of UCL buildings can be obtained from AccessAble accessable.co.uk . Further information can also be obtained from the UCL Student Support and Wellbeing team .

Fees and funding

Fees for this course.

The tuition fees shown are for the year indicated above. Fees for subsequent years may increase or otherwise vary. Where the programme is offered on a flexible/modular basis, fees are charged pro-rata to the appropriate full-time Master's fee taken in an academic session. Further information on fee status, fee increases and the fee schedule can be viewed on the UCL Students website: ucl.ac.uk/students/fees .

Additional costs

Funded PhD places include the provision of a laptop by the department to be purchased in the first 2 years of studies. Students own the laptop and are, therefore, expected to pay the costs of insuring and backing-up their laptop. Students who leave their studies early are expected to return their laptop if already purchased.

For more information on additional costs for prospective students please go to our estimated cost of essential expenditure at Accommodation and living costs .

Funding your studies

For MPhil/PhD research at least two EPSRC doctoral training awards are normally offered each year. Approximately seven PhD teaching assistantships are also available each year. In addition, there are UCL Graduate Research Scholarships and Overseas Research Scholarships, and small departmental scholarships for which applicants are automatically considered on accepting an offer of a place.

Further opportunities for financial support are occasionally available. The department encourages and offers financial support for conference and workshop attendance.

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

CSC-UCL Joint Research Scholarship

Value: Fees, maintenance and travel (Duration of programme) Criteria Based on academic merit Eligibility: EU, Overseas

Deadlines and start dates are usually dictated by funding arrangements so check with the department or academic unit to see if you need to consider these in your application preparation. In most cases you should identify and contact potential supervisors before making your application. For more information see our How to apply page.

Please note that you may submit applications for a maximum of two graduate programmes (or one application for the Law LLM) in any application cycle.

Choose your programme

Please read the Application Guidance before proceeding with your application.

Year of entry: 2024-2025

Got questions get in touch.

Mathematics

[email protected]

UCL is regulated by the Office for Students .

Prospective Students Graduate

• Graduate degrees
• Taught degrees
• Taught Degrees
• Applying for Graduate Taught Study at UCL
• Research degrees
• Research Degrees
• Funded Research Opportunities
• Doctoral School
• Funded Doctoral Training Programmes
• Applying for Graduate Research Study at UCL
• Teacher training
• Teacher Training
• Early Years PGCE programmes
• Primary PGCE programmes
• Secondary PGCE programmes
• Further Education PGCE programme
• How to apply
• The IOE approach
• Teacher training in the heart of London
• Why choose UCL?
• Entrepreneurship
• Inspiring facilities and resources
• Careers and employability
• Your global alumni community
• Your wellbeing
• Postgraduate Students' Association
• Your life in London
• Accommodation
• Funding your Master's

Report a problem

Thank you, your report has been submitted. We will deal with the issue as soon as possible. If you have any other questions, please send an email to [email protected] .

Your Programmes

Imperial college london, undergraduate  .

1 in 4 undergraduate applicants received an offer in 2023/24.

Postgraduate taught

1 in 4 postgraduate taught applicants received an offer in 2023/24.

Undergraduate Programs with at least 15 applications

Most competitive among programs with at least 5 offers.

Least Competitive  

Most Applications  

Fewest Applications  

Postgraduate Taught Programs with at least 15 applications

Postgraduate Research Programs with at least 15 applications

Data sources

• FOI Request by B.H. Crozier. January 2018.
• Transparency information . Imperial College London. October 2022.

The acceptance rate , or offer rate, represents the fraction of applicants who received an offer. Note that this will be generally lower the acceptances rates (acceptances divided by applicants) published by many other sources. This article explains it in more detail. The acceptances generally indicate the number of offer holders who accepted the offer and fulfilled its conditions. For some universities, however, it denotes the number of applicants who accepted the offer, regardless of whether they subsequently met its conditions.

Data Reliability

Unless otherwise noted, the data presented comes from the universities and is generally reliable. However, some of the differences between years and/or courses may be due to different counting methodologies or data gathering errors. This may especially be the case if there is a sharp difference from year to year. If the data does not look right, click the "Report" button located near the top of the page.

PARTNER UNIVERSITIES

Imperial college london.

World-leading research, a central London campus and outstanding graduate prospects are just some of the reasons why Imperial College London remains a top choice for the brightest and best students from across the globe.

Consistently ranking in the global top 10 best universities, and with a focus on mathematics, science, engineering, medicine and business that’s unique in the UK, studying at Imperial offers you the chance to be part of a specialist community and earn a Masters degree with global recognition.

To meet the demand, in research and industry, for well-trained, highly qualified mathematicians and statisticians, Imperial’s Department of Mathematics offers a range of Masters degrees that are built on its world leading research in Pure Mathematics, Mathematical Finance, Applied Mathematics and Mathematical Physics, and Statistics. This will provide you with an excellent foundation for a PhD, as well as a wide range of careers.

The Maths Department

As a postgraduate maths student at Imperial you’ll become part of the Department of Mathematics located on Imperial’s South Kensington Campus. This will put you at the heart of a large community – with around 100 academics and 260 Masters students – with an open, friendly culture.

Imperial is internationally renowned for its maths research (3 rd in the UK in REF 2021) and particularly for its excellent research culture (1 st for research environment). Its postgraduate taught maths courses are ranked 10 th in the world in the QS World University Rankings 2023. 

Our mathematical Masters courses are an excellent grounding for a future career in research, and with many of our students going on to a PhD at Imperial or elsewhere. The central focus of our Masters courses is an extended research project conducted under the supervision of an academic, but driven by you. You will become fully immersed in a research group relevant to the topic you’ve chosen, learning research methodology and skills by working alongside a team of experienced researchers.  

The Department is proactive in promoting gender equality, and has Athena Swan Bronze accreditation. Staff and students regularly get together for social events including summer and Christmas parties and there over 350 student-led societies you could join in Imperial College Students’ Union, covering a huge range of sports, cultural, social, entertainment and volunteering activities. This includes subject-related societies including MathSoc, Data Science, Algorithmic trading and Blockchain to name but a few.

The Masters courses offered through Martingale

Mathematics is the language of science and, as well as traditional areas such as physics, chemistry and engineering, applied mathematics is being used to augment an ever-wider range of fields. For example, applied mathematics techniques are now being used to study biological processes, climate modelling and the spread of disinformation in society. The MSc in Applied Mathematics offer excellent training in modern applied mathematics. The two main components are the courses and the project. Students can choose from 30 courses and 100 projects, covering all areas of modern applied mathematics. The breadth and depth of the courses and projects make this MSc programme unique.

The Pure Mathematics group at Imperial is a world-leading centre for research in foundational mathematics, including number theory, logic, analysis, probability and computer proof formalization. The MSc in Pure Mathematics offered by this group offers excellent training in mathematics at its most fundamental level.

The programme includes a number of core taught modules in advanced pure mathematics. These are supplemented by a choice from a wide range of more specialised modules, including topics ranging from algebra and combinatorics to geometry and topology. Students also undertake an independent research project in an area of their choosing that is supervised by a member of the Pure Mathematics group.

Statistical ideas, tools, and methods are ubiquitous in the sciences, industry, and government, including finance, medicine and artificial intelligence. Imperial’s MSc in Statistics provides outstanding training in both theoretical and applied statistics. The programme is divided into six specialist steams: applied statistics, biostatistics, data science, statistical finance, theory and methods, and a general stream.

A common set of core modules ensures that all students obtain advanced knowledge in fundamental areas and a variety of elective modules allow students to develop their specialist interests, together providing depth and exposure to a diverse range of statistical applications and methods. Students also complete a staff-supervised research project on a state-of-the-art research problem that suits their interests. Imperial’s MSc in Statistics is accredited by the Royal Statistical Society.

The PhD courses offered through Martingale

There are three applicable research groups in this PhD:

• Applied Mathematics and Mathematical Physics  
• Statistics  
• Pure Mathematics  

The Department’s overall research agenda is to identify the key scientific, economic and societal challenges to which Mathematics can contribute; make world-leading contributions across the spectrum of Mathematics and Statistics; solve outstanding open problems by developing fundamental new tools and, where appropriate, apply these tools to a wide range of real-world problems. 

Click on any of the links above to find out more about the research groups.

StatML , a collaboration between Imperial College London and University of Oxford, offers a four-year PhD/DPhil research programme. The course focuses on statistics and statistical machine learning. An established programme that supports over 15 students per cohort, the CDT encourages students to develop new statistical methods and theories to tackle global challenges, drive breakthroughs and solve real-world problems in government, medicine, industry and science.

StatML is cultivating the next generation of statisticians and machine learning experts. The course will support students to develop advanced cutting-edge methodologies that underpin data science and AI, as well as equipping them with the highly sought-after transferable skills that are in demand across industries and businesses.

Imperial College London, University of Reading and University of Southampton are collaborating to run the new PhD programme that is the  MFC  CDT. MFC responds to the urgent need for skilled mathematicians equipped to tackle climate change challenges. With climate change an ever-pressing global issue, the MFC CDT aims to train a new generation of mathematicians in mathematical modelling, scientific computing, statistics, and data science. By focusing on interdisciplinary collaboration between mathematical, computational, ocean, atmospheric, and engineering sciences, the program seeks to address the skills gaps and foster collaboration across climate challenges.

One of the key strengths of the MFC CDT lies in its diverse partnerships in academic institutions, organisations and across industry, ensuring a comprehensive approach to climate research and training. Martingale recognises the importance of mathematical sciences in tackling climate challenges and how the MFC CDT is well-positioned to support mathematical students to address these issues, contributing to a sustainable future for all.

Confused about Career Options?

Our free counselling session is designed to help you discover your strengths and find your dream career path.*/.

• Interact with top research students and scientists in India on live video meetings.
• Mentors from University of Oxford, Cambridge, Harvard, IISc, IISERs, NISER, IITs, etc.

PS: Sharing is caring ❤️ Do share it with your loved ones. See you in the meeting 😊

Top 5 Math Research Topics for a PhD Student

So, you’ve decided to pursue a PhD in Mathematics—congratulations! That’s a big step, and an exciting journey awaits you ahead. But now comes the tough question: What should you focus your research on? Choosing a research topic is crucial because it sets the stage for your entire PhD journey. With so many fascinating areas in mathematics, it can be hard to decide. However, don’t worry! We’re here to help you explore some of the best math research topics for PhD students. Let’s dive in!

Table of Contents

Number Theory: The Heart of Pure Mathematics

Let’s start with Number Theory , a classic and timeless area in mathematics . It deals with the properties and relationships of numbers, especially integers. Number theory has fascinated mathematicians for centuries. Why? Because it poses some of the most challenging and fundamental questions in math.

Therefore, some exciting topics in number theory include prime numbers , modular forms , and Diophantine equations . Research in these areas can lead to breakthroughs that impact other fields, such as cryptography and computer science. If you love solving puzzles and exploring patterns in numbers, number theory might be the perfect area for you.

Algebraic Geometry: Where Shapes Meet Algebra

Next up is Algebraic Geometry . This field studies solutions to polynomial equations using geometric methods. It’s a beautiful blend of algebra and geometry, providing deep insights into both areas. In fact, algebraic geometry has applications in many fields, from physics to robotics.

Moreover, some research topics in algebraic geometry include varieties , schemes , and moduli spaces . These topics help us understand complex geometric structures through algebraic expressions. If you enjoy visualising complex shapes and solving equations, algebraic geometry offers a wealth of opportunities.

Topology: Understanding the Fabric of Space

Have you ever wondered how a coffee cup can transform into a doughnut without tearing or cutting? That’s where Topology comes in. Topology is the study of properties that remain unchanged under continuous deformations. It helps us understand the fundamental nature of shapes and spaces.

Consequently, research topics in topology include knot theory , manifolds , and homotopy theory . These topics explore how different shapes relate to each other and how they can transform. Additionally, topology has applications in physics, computer science, and biology. If you’re fascinated by shapes and enjoy abstract thinking, topology could be your ideal research area.

Mathematical Modeling: Applying Math to Real-World Problems

If you want to see the real-world impact of mathematics, Mathematical Modeling might be the right choice for you. Mathematical modelling involves creating mathematical representations of real-world systems. Thus, these models help us understand complex phenomena in fields like biology, economics, and engineering.

For example, some interesting research topics in mathematical modelling include disease modelling , climate modelling , and financial mathematics . These areas use differential equations, probability, and statistics to solve practical problems. Therefore, if you like applying math to solve real-world issues, mathematical modelling offers plenty of opportunities to make a difference.

Cryptography: The Math Behind Secure Communications

Lastly, let’s talk about Cryptography . Cryptography is the science of secure communication, protecting information from unauthorised access. It relies heavily on advanced mathematics, including number theory and algebra. With the rise of digital technology, cryptography has become more important than ever.

Some research topics in cryptography include elliptic curve cryptography , quantum cryptography , and cryptographic protocols . These topics focus on developing new methods for secure communication in the digital age. Furthermore, if you’re interested in math and cybersecurity, cryptography could be a fascinating research area.

Conclusion:

Choosing a research topic for your PhD in Mathematics is a big decision. However, it doesn’t have to be overwhelming. Whether you’re interested in pure mathematics like number theory or applied fields like cryptography, there’s a topic out there that’s perfect for you. Take your time, explore different areas, and choose a topic that excites you. After all, your passion for your research will keep you motivated throughout your PhD journey. Good luck!

Do you want to know which Institute is best for Mathematics? Click here to know the answer.

• What should I consider when choosing a math research topic for my PhD? Consider your interests, the relevance of the topic, and the guidance available from your potential advisors.
• Can I switch my research topic during my PhD? Yes, but it depends on your program and how far you are into your research. Always consult with your advisor first.
• How important is it to choose a trending topic for my PhD? Choosing a trending topic can be beneficial, but it’s more important to select a topic that you find exciting and motivating.
• What are the most challenging areas in math research? Areas like number theory, algebraic geometry, and cryptography can be challenging due to their complexity and abstract nature.
• Can I collaborate with other departments for my math research? Absolutely! Interdisciplinary research is encouraged, especially in areas like mathematical modelling and cryptography.

SciAstra is India’s First & Largest Research Community. We’re a team of scientists and research scholars from IISc, Oxford, Harvard, and Cambridge and many more prestigious institutions around the world.

Since 2021, we have guided over 170,000 and taught more than 20,000 students, resulting in more than 2,000 top-ranked selections with AIR 1, 3, 4, 5, 6, 7, 10, 12, and more in IISC Bangalore , IISER , NISER , IACS , and so on. If you are looking to prepare for IAT / NEST, ISI / CMI, IACS, you can check out our courses and get access to live classes, recorded lectures, study material, PYQs with detailed solutions, mock tests, doubt-clearing classes, and much more!

Our vision is to help students achieve their dream careers in science. To know more about us, click here OR download the SciAstra App from the Play Store and App Store!

Leave a Comment Cancel Reply

Your email address will not be published. Required fields are marked *

Save my name, email, and website in this browser for the next time I comment.

• Address : SciAstra Education Pvt Ltd, Bhubaneswar, Odisha
• [email protected]
• Copyright © 2023 SciAstra
• Web Stories

Our app SciAstra

Copyright © 2023, SciAstra. All rights reserved | Developed by Techsaga Corporations.

This discussion is now closed.

• How likely am I to get into imperial
• Lucy Cavendish Cambridge CS Vs Imperial JMC
• A level choices for imperial?
• Official MATHS applicants thread 2024
• Imperial Maths with Stats for Finance vs LSE Financial Mathematics and Statistics
• Warwick vs Imperial for maths
• Imperial Maths, how likely for me?
• Imperial Physics low student satisfaction
• Computer Science at Imperial College London.
• Anyone have any idea about the rough TMUA grade needed to get into Imperial maths?
• Correlation between performance in UKMT and performance in TMUA/STEP?
• Economics, Finance and Data Science at Imperial College London?
• Bath Aerospace
• Where should I apply for a safe option
• EEE mat concerns
• Applying for Maths at Oxford, Imperial and Warwick
• How to choose unis in UCAS application for CS undergraduate course?
• Is manchester maths hard to get into
• Imperial Msc Soil Mechanics
• Conditional offers and STEP

How hard is the Imperial maths course?

Scroll to see replies

Related discussions

Last reply 4 days ago

Last reply 5 days ago

Last reply 6 days ago

Last reply 1 week ago

Last reply 2 weeks ago

Last reply 3 weeks ago

Last reply 4 weeks ago

Last reply 1 month ago

Articles for you

I want to go to uni but I don't know what to study

10 things new lawyers wish they'd known before studying law

Your five university application choices: how to make your mind up

Should you apply for more than one course at the same university?

Try out the app

Continue on web

Imperial College London Imperial College London

Latest news.

Imperial retains top spot in UK university league table

Award shortlists and interdisciplinary research grants: News from Imperial

5 lessons to level up conservation successfully

• Department of Mathematics
• Faculty of Natural Sciences
• Departments, institutes and centres
• Postgraduate
• Doctoral programme
• Prospective students

PhD funding opportunities

Department of Mathematics research students are funded by grants from EPSRC, the College, the Department, industry and other bodies. All applications made via the Imperial's online application system My Imperial are automatically considered for department/College scholarship schemes. There is no separate application form.

• Visit the College postgraduate prospectus for further information on fees and funding
• You can use the College scholarship search tool  for a full list of other schemes not listed below

PhD Funding Opportunities

Nerc-funded phd studentships.

The Science and Solutions for a Changing Planet (SSCP) Doctoral Training Partnership integrates six host partners and a number of business and policy sector partners, to offer an exciting programme that trains and inspires the next generation of environmental experts and leaders to tackle some of the toughest challenges of our time. The SSCP is funded by the Natural Environmental Research Council and based at Imperial College London.

View  available projects

For a full list of these, and other projects, with links to detailed descriptions, information on eligibility and instructions on how to apply, please see  SSCP studentship opportunities .

Roth Scholarship - Home / Overseas

The Roth scholarship scheme is funded by the Department of Mathematics and named after  Klaus Friedrich Roth .

• Numbers : between 8-10 full scholarships per year
• The award covers 3.5 years : tuition fees + stipend + research training costs
• Eligibility : Home and Overseas applicants*
• Selection criteria : the selection panel looks for the best academic performance at undergraduate and postgraduate levels; strong endorsement from two referees; as well as published academic papers and academic prizes the applicant might have won.
• How to apply : all applications are automatically screened for this scheme at assessment time. It does not require a separate application.
• Outcome : the panel makes decisions at the end of each month (from January to May each year); applicants are normally informed about the scholarship award together with the offer of a place on the programme.

* Overseas applicants might be awarded this scholarship to cover part of tuition fees (Home amount); or might be given joint fund in combination with another scheme (subject to availability).

Administrative Roth Scholarship - Home / Overseas

This Roth studentship is directly allocated to an individual member of academic staff to support a future PhD student. Applicants should contact the supervisors directly to discuss their research interests.

• Eligibility: Home and Overseas applicants*

Available Administrative Roth Scholarships:

EPSRC-DTP Scholarship - Home / Overseas

Doctoral Training Partnership supported by the  Engineering and Physical Sciences Research Council .

• Numbers : subject to annual EPSRC allocation. There have been an average of 8 scholarships per year in the past 5 years.
• The award covers up to 3.5 years : tuition fees + stipend + research training costs
• Eligibility : Home / Overseas*

* Normally, one outstanding overseas applicant per year might be offered this scholarship (subject to College total grant allocation). The Department of Mathematics will cover the difference between home and overseas tuition fees.

President's PhD Scholarships - Home / Overseas

All applicants are authomatically considered for this scheme. No extra form is required.

Please visit the President's PhD Scholarships page for full information on the scheme, including applications deadlines and dates for the communication of outcome.

Dean's PhD Scholarship - Home / Overseas

The Dean's PhD Scholarship award is open to the most outstanding students who have made an application for admission to study for a full-time PhD in the Departments of Chemistry, Life Sciences, Mathematics and Physics at Imperial.

• Numbers : 1 full scholarship per year

* Overseas applicants might be awarded this scholarship to cover their tuition fees. The Department of Mathematics will cover the stipend and the research training costs.

CSC Imperial Scholarship - Chinese students

Imperial College London and the China Scholarship Council (CSC)  have created a scholarship programme to enable talented Chinese students to undertake a PhD programme at Imperial.

It does not require a separate application in the first instance. All Chinese applicants who have submitted a regular application by the end of January will automatically be screened for this scheme at assessment time.

If the proposed supervisor decides to nominate an applicant to this scheme, the applicant will then be contacted to consent their nomination to the selecting panel.

Please read the  CSC Imperial Scholarship  page for full information on this scheme.

Get the Reddit app

How is imperial math like.

Hello I am an asian who got an offer from Imperial for maths course - but not sure whether I should go for it or not.

Several reasons why I am not sure

I heard that the workload is devastating and about 20% of people drop

I heard that except for Oxford and Cambridge it is impossible for an International student to get a job (since international students cannot get an internship and when finding a job your internship experience is super important)

-Since my degree is not so demanding in job market compared to economics or engineering stuff, it is even more harder for me to find a job

Reason why I am so obsessed with finding a job: I would love to study masters and PhD stuff but I don't have enough money to do so (unless I get a scholarship but again, very few international students get one)

So here are few Qs

Am I being too pessimistic when I am talking about internship or finding job stuffs?

How is Imperial math like? In terms of professors, their teaching style, etc.

Would u recommend me to come to Imperial? My other option is BU in US or NUS in Singapore

Thanks, and have a nice day -^

By continuing, you agree to our User Agreement and acknowledge that you understand the Privacy Policy .

Enter the 6-digit code from your authenticator app

You’ve set up two-factor authentication for this account.

Enter a 6-digit backup code

Create your username and password.

Reddit is anonymous, so your username is what you’ll go by here. Choose wisely—because once you get a name, you can’t change it.

Reset your password

Enter your email address or username and we’ll send you a link to reset your password

Check your inbox

An email with a link to reset your password was sent to the email address associated with your account

Choose a Reddit account to continue