Institut Polytechnique de Paris

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ENSTA

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ENSAE

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Télécom Paris

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Télécom SudParis

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PhD track Mathematics

PhD track Mathematics

WHY ENROLL IN THIS PROGRAM?

Asset n° 1  .

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

Asset n°2 

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]

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COMMENTS

  1. PhD track Mathematics

    Contact. 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.