Cryptography, Theoretical and Computational Aspects of Algebraic Number Theory and Algebra - ECOLE ANNULEE

The school will present modern tools of number theory and algebra, with a focus on their use in cryptography. Although cryptography has a long history, it has developed during the 20th century into a modern science with the help of computer science and mathematical tools coming from algebra, number theory, combinatorics, geometry. The minicourses will present various aspects of the subject: elementary and algebraic number theory, elliptic curves, primality tests, representation theory, lattices, computational aspects, applications to cryptography. Training sessions will be devoted to PARI/GP and SageMath, two efficient computer algebra systems which are open-source and widely used by the community.

The school aims at promoting and developing these new research areas for teachers and researchers in Haiti, attracting new students and developing scientific collaborations with other countries (France, USA, the Caribbean,...), including co-directions of Ph.D. students.