phd in mathematics europe

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PhD track Mathematics

WHY ENROLL IN THIS PROGRAM?

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Get ready for a PhD by starting research at an early stage

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Be closely associated with the research activities carried out in a world-renowned innovation cluster

Benefit from individual and personalized supervision by a faculty member

• Description
• Associated Laboratories

The PhD Track Mathematics is a 5 year-program at Institut Polytechnique de Paris opened to excellent students having completed their Bachelor in Mathematics or Applied Mathematics with highest honors. This five-year PhD Track is intended to train future high-level researchers in scientific and mathematical disciplines. 

It starts with a two-year period with advanced applied mathematics courses in the chosen field. Students also participate in research projects carried out by IP Paris Laboratories involved in the Track and attend seminars on specialized research topics. Supervised by experienced researchers at the forefront of research, they thus benefit from first-class research experience. At the end of the second year, the students who meet the academic requirements receive a Master Degree. Those who have achieved outstanding results and identified a thesis subject and a supervisor in one of the involved Labs are allowed to start a three-year PhD program.

Students are offered two pathways:

The goal of this program is to provide advanced training in mathematical modeling in economics, finance and actuarial science at the highest international level, with a strong emphasis on advanced quantitative methods for both theoretical and empirical analyses. Specific application domains include stochastic modeling for sustainable finance and energy finance, including renewable energy production. 

This pathway offers a wide choice of courses in all fields of Theoretical and Applied Mathematics and Research Internships. It is also possible to combine these disciplinary courses with relevant courses in other disciplines (like in Physics, Mechanics, Computer Science or Biology for example). 

• Bring excellent Bachelor students in mathematics and applied mathematics to the realization of a high level PhD in 5 years at Institut Polytechnique de Paris
• Develop a coherent training program, based on solid scientific bases
• Specialize in a variety of sub-areas of applied mathematics, to be chosen among the rich offer of IP Paris (second year).
• Integrate into the world of research by spending time within the research Labs, conducting a research project under the supervision of a faculty member, writing a research report (second year) and preparing manuscripts for publication in international peer-reviewed journals (PhD years).

The five-year curriculum of the PhD track trains students in cutting-edge research for them to pursue international careers in prestigious universities or leading companies in their domain. 

Every year, the program of every student has to be discussed and validated by his/her tutor, who is a member of the IP Paris faculty. According to the student’s specialization wishes, the course program will be individualized as much as possible.

This pathway starts with a two-year period with advanced courses on mathematical finance, financial econometrics, advanced times series,  actuarial sciences and green and sustainable finance. Students also participate in research projects carried out by IP Paris Laboratories involved in the Track and attend seminars on specialized research topics. Supervised by experienced scientists at the forefront of research in these domains, they thus benefit from first-class research experience. At the end of the second year, the students who meet the academic requirements receive a Master Degree. Those who have achieved outstanding results and identified a thesis subject and a supervisor in one of the involved Labs are allowed to start a three-year PhD program.

The first year of the PhD Track is based on the Master 1, Parcours Jacques Hadamard , with a large choice of courses, both in Fundamental and Applied Mathematics.

The second year of the PhD Track is mainly based on the Master 2 program Mathematics and Applications proposed by IP Paris and Partner Institutions (with a large choice of Mathematical Specializations, like for example Algebra, Analysis and Geometry – Analysis, Modeling and Simulation – Mathematics, Vision and Machine Learning – Probability and Statistics, etc.).

During these two years, other Educational Units are also proposed: French (for non French native speakers), English, Research Seminars (at IHES), for example. 

In the first and second years, it is also possible to follow courses from other Departments at Institut Polytechnique de Paris (Physics, Mechanics, Computer Science or Biology) and from the Master 1,2 of Paris-Saclay Mathematics  Department.

• Center for Research in Economics and Statistics (CREST)
• Applied Mathematics Center (CMAP)
• Applied Mathematics UER (UMA)
• CMAP: Applied Mathematics Center (EP/CNRS)
• CMLS: Laurent Schwartz Mathematics Center (EP/CNRS)
• CREST: Center for Research in Economics and Statistics (ENSAE Paris)
• UMA: Applied Mathematics UER (ENSTA Paris)
• IDS : Image, Data, Signal (Télécom Paris)
• CITI: Communications, Images et Traitement de l’Information (Télécom SudParis)

Admission requirements

Academic prerequisites.

Completion of a Bachelor in mathematics, with highest honors, at Institut Polytechnique de Paris or equivalent in France or abroad.

Evidence of research potential is essential as the main goal of such a PhD program is to train first class researchers. 

Students who have completed the first year of an equivalent program may exceptionally be directly admitted to the second year (4-year PhD program).

Language prerequisites

A certificate of proficiency in English (level B2) is required (TOEIC, IELTS, TOEFL, Cambridge ESOL), except for native speakers and students who previously studied in English.

How to apply

Applications are exclusively online. You will be required to provide the following documents:

• Transcript 
• Two academic references (added online directly by your referees)  
• CV/resume 
• Statement of purpose

You will receive an answer in your candidate space within 2 months following the closing date of the application session. 

Fees and scholarships

Estimated fees for 2022-2023 are subject to increase

• Regular fees: 243€
• Engineer students enrolled in one of the five member schools of Institut Polytechnique de Paris (Ecole polytechnique, ENSTA Paris, ENSAE Paris, Télécom Paris and Télécom SudParis): 159€
• Special cases: please refer to the "Cost of studies" section of the FAQs

Applications and admission dates

Coordinators for the mathematics for finance, economics and sustainable development pathway.

Sonia Fliss

Stéphane Bijakowski 

Olivier Le Maitre 

Peter Tankov

Coordinator for the Mathematics Jacques Hadamard pathway

General enquiry.

[email protected]

• Department of Mathematical Sciences
• Study programmes
• PhD program

The PhD program

The PhD program at the Department of Mathematical Sciences usually lasts 3 years, for students enrolled with a Master's Degree, and 4-5 years for students enrolled in the integrated program with a bachelor's degree (or equivalent). The program consists first of all of an independent research project resulting in the end of a PhD thesis with publishable results.

It is also a part of the PhD program to follow some PhD courses, and our PhD students are expected to spend an extended period (up to 3-6 months) at a foreign research institution during the PhD program.

PhD students (except industrial PhDs) are required to teach, typically as teaching assistants. Our advanced courses are taught in English. Our PhD students must be able to teach in English and to follow courses taught in English.

A PhD in mathematics will make you qualified for a wide range of career possibilities including continuing an academic career or going into the private or the public sector.

PhD students who hold a stipend from the University of Copenhagen will receive funding as follows: Students enrolled in the 3-year program will receive a salary throughout the PhD period. Students enrolled in the integrated program will receive a number of state education grant portions until they acquire the master's degree 2 years before handing in their PhD thesis. For the remaining 2 years they will receive a salary.

Both stipends also include a travel allowance for participation in conferences and for research visits to foreign research institutions.

For more information about the PhD programme see https://science.ku.dk/phd/

The Department of Mathematical Sciences offers PhD degrees in pure and applied mathematics, statistics, insurance and financial mathematics within four research sections and two centres:

• Algebra & Geometry
• Analysis & Quantum
• Insurance and Economics
• Statistics and Probability
• Copenhagen Centre for Geometry and Topology (GeoTop)
• Centre for the Mathematics of Quantum Theory (QMATH)

The department has about 45 tenured faculty, 30 postdocs, and 60 PhD students.

Applying for a PhD

• After accepting a PhD stipend  
• Mini-guide on how to fill the online application form

For current PhD students

See MATHnet  (department intranet) for courses, economy, travel etc.

PhD students

Theodor Henningsen, PhD student

Silvan Vollmer, PhD student

Taro Spirig, PhD student

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Doctoral programs

Mathphdinfrance.

The FSMP is a partner in the COFUND MathPhDInFrance international docroral training program, cofunded by Marie Sklodowska-Curie Actions within the framework of the European Horizon Europe programme “Marie Sklodowska-Curie Co-funding of Regional, National and International Programmes” (Grand Agreement n°101126554). MathPhDInFrance  offers grants for co-tutored theses between a laboratory in the Paris region and one in another. Read more ...

MathInParis2020

The international Doctoral Training in Mathematical Sciences in Paris -  MathInParis2020  - Cofunded by Marie Sklodowska‑Curie Actions within the framework of the European Horizon 2020 program (Grant Agreement n° 945332),  offered 40 PhD fellowships  through two calls in 2020 and 2021. Read more...

Stays for PhD students

The Fondation Sciences Mathématiques de Paris finances, for doctoral students who are members of a  laboratory affiliated with the foundation , scientific research stays in external laboratories (French or foreign) for periods of at least one month.

Read more...

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PhD Pure Mathematics / Overview

Year of entry: 2024

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The standard academic entry requirement for this PhD is an upper second-class (2:1) honours degree in a discipline directly relevant to the PhD (or international equivalent) OR any upper-second class (2:1) honours degree and a Master’s degree at merit in a discipline directly relevant to the PhD (or international equivalent).

Other combinations of qualifications and research or work experience may also be considered. Please contact the admissions team to check.

Full entry requirements

Apply online

In your application you’ll need to include:

• The name of this programme
• Your research project title (i.e. the advertised project name or proposed project name) or area of research
• Your proposed supervisor’s name
• If you already have funding or you wish to be considered for any of the available funding
• A supporting statement (see 'Advice to Applicants for what to include)
• Details of your previous university level study
• Names and contact details of your two referees.

Programme options

Programme description.

The The Department of Mathematics has an outstanding research reputation. The research facilities include one of the finest libraries in the country, the John Rylands University Library. This library has recently made a very large commitment of resources to providing comprehensive online facilities for the free use of the University's research community. Postgraduate students in the Department benefit from direct access to all the Library electronic resources from their offices.

Many research seminars are held in the Department on a weekly basis and allow staff and research students to stay in touch with the latest developments in their fields. The Department is one of the lead partners in the MAGIC project and research students can attend any of the postgraduate courses offered by the MAGIC consortium.

For entry in the academic year beginning September 2024, the tuition fees are as follows:

• PhD (full-time) UK students (per annum): Band A £4,786; Band B £7,000; Band C £10,000; Band D £14,500; Band E £24,500 International, including EU, students (per annum): Band A £28,000; Band B £30,000; Band C £35,500; Band D £43,000; Band E £57,000
• PhD (part-time) UK students (per annum): Band A £2393; Band B £3,500; Band C £5,000; Band D £7,250; Band E 12,250 International, including EU, students (per annum): Band A £14,000; Band B £15,000; Band C £17,750; Band D £21,500; Band E £28,500

Further information for EU students can be found on our dedicated EU page.

The programme fee will vary depending on the cost of running the project. Fees quoted are fully inclusive and, therefore, you will not be required to pay any additional bench fees or administration costs.

All fees for entry will be subject to yearly review and incremental rises per annum are also likely over the duration of the course for Home students (fees are typically fixed for International students, for the course duration at the year of entry). For general fees information please visit the postgraduate fees page .

Always contact the Admissions team if you are unsure which fees apply to your project.

Scholarships/sponsorships

There are a range of scholarships, studentships and awards at university, faculty and department level to support both UK and overseas postgraduate researchers.

To be considered for many of our scholarships, you’ll need to be nominated by your proposed supervisor. Therefore, we’d highly recommend you discuss potential sources of funding with your supervisor first, so they can advise on your suitability and make sure you meet nomination deadlines.

For more information about our scholarships, visit our funding page or use our funding database to search for scholarships, studentships and awards you may be eligible for.

Contact details

Our internationally-renowned expertise across the School of Natural Sciences informs research led teaching with strong collaboration across disciplines, unlocking new and exciting fields and translating science into reality.  Our multidisciplinary learning and research activities advance the boundaries of science for the wider benefit of society, inspiring students to promote positive change through educating future leaders in the true fundamentals of science. Find out more about Science and Engineering at Manchester .

Programmes in related subject areas

Use the links below to view lists of programmes in related subject areas.

• Mathematics

Regulated by the Office for Students

The University of Manchester is regulated by the Office for Students (OfS). The OfS aims to help students succeed in Higher Education by ensuring they receive excellent information and guidance, get high quality education that prepares them for the future and by protecting their interests. More information can be found at the OfS website .

You can find regulations and policies relating to student life at The University of Manchester, including our Degree Regulations and Complaints Procedure, on our regulations website .

Study Postgraduate

Phd in mathematics (2024 entry).

Course code

30 September 2024

3-4 years full-time

Qualification

Mathematics Institute

University of Warwick

Explore our PhD in Mathematics

The PhD in Mathematics offers an intellectually stimulating and dynamic research course. Study at the University of Warwick's Mathematics Institute, an international centre of research excellence, ranked 3rd for research power and 3rd for the number of 4* research outputs in REF 2021 (amongst UK universities).

Course overview

Mathematics at Warwick covers the full spectrum of mathematics and its applications. The Mathematics Postgraduate Degrees are appropriate for students with a strong and broad mathematical background who wish to engage in advanced mathematical techniques and attack mathematical research problems in their postgraduate work.

All students are required to undergo training in Year One and are encouraged to make use of further training opportunities available in subsequent years. Training ranges from gaining a broader knowledge of mathematics through taught modules, seminars and workshops, to enhancing your professional and transferrable skills. Our PhD students undertake high quality original research and are being well-prepared for a career, either in academia or elsewhere.

Teaching and learning

Students are required to complete a series of modules in their first year (from a very wide selection of bespoke modules), with assessment including an oral examination component. Upon the successful completion of these modules, students are required to complete a research project before being formally upgraded to a PhD at the end of the first year.

Training will be supplemented with attendance to seminars, cohort building activities, and additional transferable skills training.

General entry requirements

Minimum requirements.

First Class Honours undergraduate integrated Master's (4-year) degree from a UK university in Mathematics or a science degree with high mathematical content, or the equivalent qualification and grade from a non-UK university.

Alternatively, applicants who have a Bachelor's degree AND a Distinction in a postgraduate Master's degree would be considered.

English language requirements

You can find out more about our English language requirements Link opens in a new window . This course requires the following:

• IELTS overall score of 6.5, minimum component scores not below 6.0

International qualifications

We welcome applications from students with other internationally recognised qualifications.

For more information, please visit the international entry requirements page Link opens in a new window .

Additional requirements

There are no additional entry requirements for this course.

Our research

The mathematics department covers a wide range of research areas in mathematics and its applications.

You may also wish to explore the research interest of current Warwick academics .

Find a supervisor

The 'Find A Supervisor' link below will allow you to explore the research interests of academics within the department. Please include in your application the names of potential supervisors, with interests aligned with yours, or people you would like to work with.

The mathematics department, unlike some other departments, does not require students to make any arrangements with any potential supervisors before applying, though of course you are welcome to contact them directly and discuss your interests and any potential projects they may offer.

Tuition fees

Tuition fees are payable for each year of your course at the start of the academic year, or at the start of your course, if later. Academic fees cover the cost of tuition, examinations and registration and some student amenities.

Find your research course fees

Fee Status Guidance

We carry out an initial fee status assessment based on the information you provide in your application. Students will be classified as Home or Overseas fee status. Your fee status determines tuition fees, and what financial support and scholarships may be available. If you receive an offer, your fee status will be clearly stated alongside the tuition fee information.

Do you need your fee classification to be reviewed?

If you believe that your fee status has been classified incorrectly, you can complete a fee status assessment questionnaire. Please follow the instructions in your offer information and provide the documents needed to reassess your status.

Find out more about how universities assess fee status

Additional course costs

As well as tuition fees and living expenses, some courses may require you to cover the cost of field trips or costs associated with travel abroad.

For departmental specific costs, please see the Modules tab on the course web page for the list of core and optional core modules with hyperlinks to our  Module Catalogue  (please visit the Department’s website if the Module Catalogue hyperlinks are not provided).

Associated costs can be found on the Study tab for each module listed in the Module Catalogue (please note most of the module content applies to 2022/23 year of study). Information about module department specific costs should be considered in conjunction with the more general costs below:

• Core text books
• Printer credits
• Dissertation binding
• Robe hire for your degree ceremony

Scholarships and bursaries

Scholarships and financial support

Find out about the different funding routes available, including; postgraduate loans, scholarships, fee awards and academic department bursaries.

Mathematics Funding Opportunities

Find out more about the various funding opportunities that are available in our department.

Living costs

Find out more about the cost of living as a postgraduate student at the University of Warwick.

Mathematics at Warwick

Our challenging Mathematics degrees will harness your strong mathematical ability and commitment, enabling you to explore your passion for mathematics.

Find out more about us on our website Link opens in a new window

Our courses

• Mathematics (Diploma plus MSc)
• Mathematics (MSc)
• Mathematics (PhD)

How to apply

The application process for courses that start in September and October 2024 will open on 2 October 2023.

For research courses that start in September and October 2024 the application deadline for students who require a visa to study in the UK is 2 August 2024. This should allow sufficient time to complete the admissions process and to obtain a visa to study in the UK.

How to apply for a postgraduate research course  

After you’ve applied

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Admissions statement

See Warwick’s postgraduate admissions policy.

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Postgraduate fairs.

Throughout the year we attend exhibitions and fairs online and in-person around the UK. These events give you the chance to explore our range of postgraduate courses, and find out what it’s like studying at Warwick. You’ll also be able to speak directly with our student recruitment team, who will be able to help answer your questions.

Join a live chat with our staff and students, who are here to answer your questions and help you learn more about postgraduate life at Warwick. You can join our general drop-in sessions or talk to your prospective department and student services.

Departmental events

Some academic departments hold events for specific postgraduate programmes, these are fantastic opportunities to learn more about Warwick and your chosen department and course.

See our online departmental events

Warwick Talk and Tours

A Warwick talk and tour lasts around two hours and consists of an overview presentation from one of our Recruitment Officers covering the key features, facilities and activities that make Warwick a leading institution. The talk is followed by a campus tour which is the perfect way to view campus, with a current student guiding you around the key areas on campus.

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Why Warwick

Discover why Warwick is one of the best universities in the UK and renowned globally.

9th in the UK (The Guardian University Guide 2024) Link opens in a new window

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About the information on this page

This information is applicable for 2024 entry. Given the interval between the publication of courses and enrolment, some of the information may change. It is important to check our website before you apply. Please read our terms and conditions to find out more.