M2 Analysis, Arithmetic, and Geometry

  • Places available
    40
  • Language(s) of instruction
    English
    French
  • Enrolment type
    Formation initiale
    Formation continue
Présentation
Skills
  • Understand and proficiently use high-level mathematical tools and methods.

  • Overall organisation

    Our master's program M2 offers three crash courses (in differential geometry, algebra and complex analysis) in September, several fundamental advanced courses in the first term (such as algebraic geometry, number theory, ergodic theory and dynamical systems, groups and geometry; the subjects may vary slightly from year to year) and a number of more specialized courses in the second term (the subjects change regularly and completely, we try to be sufficiently diverse in our offer). Of course you are also expected to write and defend a master thesis under the guidance of a senior researcher. This can be done at Orsay mathematical department but also at another research unit if necessary.

    Career prospects

    The main outcome of this course is to prepare students for doctoral studies in fundamental mathematics.

    Course Prerequisites

    M1 in fundamental mathematics or an equivalent level of qualification. Admission upon competitive exam.

    Transfer paths

    Non

    Additional information

    Watch the video below to know more about M2 Analysis, Number Theory, and Geometry.

     

    Post-graduate profile

    Students will have acquired basic knowledge of modern mathematics and studied a particular area in enough depth to begin research (usually in the context of thesis preparation).

    Location
    ORSAY
    Collaboration(s)
    Laboratories

    Laboratoire de mathématiques d'Orsay.

    CMLS (Ecole Polytechnique).

    Programme

    The schedule will be posted shortly.

    Modalités de candidatures
    Application period
    From 01/03/2026 to 30/06/2026
    Admission criteria
    Dossier
    Compulsory supporting documents
    • Motivation letter.

    • All transcripts of the years / semesters validated since the high school diploma at the date of application.

    • Curriculum Vitae.

    Additional supporting documents
    • Document at your convenience.

    • Detailed description and hourly volume of courses taken since the beginning of the university program.

    • VAP file (obligatory for all persons requesting a valuation of the assets to enter the diploma).

    • The application procedure, which depends on your nationality and your situation is explained here : https://urlz.fr/i3Lo.

    • Supporting documents :
      - Residence permit stating the country of residence of the first country
      - Or receipt of request stating the country of first asylum
      - Or document from the UNHCR granting refugee status
      - Or receipt of refugee status request delivered in France
      - Or residence permit stating the refugee status delivered in France
      - Or document stating subsidiary protection in France or abroad
      - Or document stating temporary protection in France or abroad.

    • Details of the UEs taken for candidates outside the M1 Paris Saclay.

    Contact(s)
    Administrative office