Applied Algebra study track

Cryptography, quantum information, coding

pictogramme cœurFor those who like

 

  • Algebra
  • Mathematics in general, and are not afraid of abstraction

Objectives

This track offers an introduction to several IT and telecommunication fields: formal calculation, correction coding, cryptography and quantum information theory. This track is primarily based on core mathematical foundations, especially algebraic concepts.

In practice

These areas are first examined from a theoretical perspective. This includes purely mathematical courses (arithmetic, finite fields, algebraic curves) and courses combining computer science and mathematics or even physics (correction coding, cryptography, quantum information). The modules are taught in traditional lesson-seminar form, with around fifteen students per class. Certain modules can also take the form of projects or practical sessions on machines (computational algebra).

Language of instruction: English

After the track

3rd year technological innovation at Télécom Paris

Master’s-Engineering Dual Degree

  • Machine learning, communications, and security (IP Paris)
  • Algorithmics and Foundations of Programming (Univ. Paris-Saclay)

Professions

This track opens the door to research, with the most natural next steps being a Master 2 followed by a thesis. However, it could also provide helpful theoretical insight for students who wish to pursue a career as an engineer specializing in communication systems networks or security.

Testimonials

Dimitri Lanier (témoignage étudiant)

The courses in the Applied Algebra study track were the most stimulating for me, starting with a rigorous solidification of the basics of algebra and information theory. The pathway quickly moves on to cutting-edge subjects in cryptography and error-correcting codes. It covers a large number of complex subjects, giving a good overview of the use of high-level mathematics in industry and of future innovations. The time constraints involved in seeing all these subjects prevent a perfectly rigorous treatment of each one; nevertheless, the quality of the teachers and the handouts mean that anyone interested in the details will be able to immerse themselves in them. To conclude, after these two years of training, I can see that the skills I have been able to acquire on this course are rare and in demand, whether in cryptography with the advent of post-quantum cryptography, in the quantum industry (where I am currently working) or in error correction. This course is ideal for anyone who loves mathematics and wants to have a direct impact on the world around them.
Dimitri Lanier, class of 2025

 

The Applied Algebra (ACCQ) track provides high-level mathematical training on a wide range of topics, such as cryptography, algebraic geometry and quantum information. Combining the study of basic mathematics with the most recent applications, ACCQ allows students to pursue opportunities in the academic world as well as in prestigious corporate R&D departments.
With less than fifteen students and an excellent faculty members, ACCQ is a flagship Télécom track. It’s the ideal choice for those who wish to continue their algebra studies after their entrance exams!
Vincent Moreau, class of 2021

Managers

Head: Aslan Tchamkerten
Head of international mobility: Michèle Wigger
Internship coordination: Ghaya Rekaya