M2 - Fundamental Mathematics (MF)

  • Training Structure

    College of Sciences

Overview

The “Fundamental Mathematics” track consists of courses that form the foundation for “advanced” mathematics in contemporary algebra, analysis, and geometry.

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Objectives

The "Fundamental Mathematics" track is designed to prepare students for careers in research in fundamental mathematics.

 

 

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Expertise and Skills

The mathematics taught in the “Fundamental Mathematics” track covers the bulk of the core curriculum for the Agrégation mathematics exam, as well as its modeling option.  Students are trained to solve highly technical problems in algebra, analysis, and geometry (e.g., group representations and actions, spectral analysis, differential geometry…), such as those commonly encountered in mathematical research and its applications.

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Program

Internships and supervised projects: a supervised seminar in the first semester of the M2 program (3 ECTS), and an introductory research internship in the second semester of the M2 program (12 ECTS).

 

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  • Differential Geometry

    9 credits
  • Algebraic Topology

    9 credits
  • Seminar (thesis)

    3 credits
  • Algebraic Geometry

    9 credits
  • Algebra and Geometry 2

    9 credits
  • Introductory Research Internship

    12 credits
  • Topology and Geometry 2

    9 credits

Admission

Registration Procedures

Applications can be submitted through the following platforms: 

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Target Audience

: Students who hold a bachelor's degree in mathematics.

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Mandatory Prerequisites

Master's degree (M1) in fundamental mathematics or equivalent

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Recommended Prerequisites

Master's degree (M1) in fundamental mathematics or equivalent

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And then

Continuing Education

Ph.D. in highly technical fields of mathematics (specializing in mathematics and its applications).

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Employment Placement

careers in research and development, academia, or industry; teaching.

 

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