Research interests of the working group

Number theory:

Algebraic, algorithmic and analytic number theory.

Arithmetic geometry:

Explicit computations for global solids, algebraic curves and function solids, resolution of singularities, isogenies.

Cryptology:

Security, analysis, efficient implementations and protocols.
In particular, hyperelliptic and elliptic curve cryptography, pairing-based cryptography.

Computer algebra:

Software development for computer algebra systems, symbolic computation, applied algebra.