**Objectives and Openings**

**The "Analysis, Arithmetic and Geometry" (AAG) final specialization** delivers pure and specialized courses in each of the three areas mentioned in its title, starting with three fast-track courses in September. Most of the courses and lecturers are changed every two years, enabling a fairly wide range of disciplines to be covered. Students put together their own training program from a varied choice of courses. The main aim is give students the best possible preparation for a PhD in pure mathematics. Courses for this final specialization run by the Université Paris-Sud and the École Polytechnique are delivered on the Orsay-Palaiseau site. This specialization therefore draws on two mathematics departments with proven success in training top-level, pure mathematics PhD students.

Half of the courses on the** "Applied Algebra" (A2) final specialization** are in pure mathematics (algebraic curves, elliptic curves, and effective algebra). The other half are at the interface with IT (programming, cryptography, and automatic verification). This final specialization is taught at the University of Versailles Saint-Quentin, with input from INRIA Saclay for IT interface courses.

Anticipated openings are academic or private research in pure mathematics, or in mathematics applied to control theory, cryptography and IT security. It is possible to specialize in a combination of subjects: theoretical IT and engineering jobs in the field of applied mathematics and IT (cryptology, robotics).

**Who to contact?**

#### Analysis, Arithmetic and Geometry

- Coordinators: Ekaterina Amerik

- Secretariat: Christelle Pires

#### Applied Algebra

- Coordinator: Nicolas Perrin
- Secretariat: Liliane Roger