- analytic number theory
- special functions
- algebraic theory of local and global fields
- Galois module structure of rings of integers
- elliptic curves and abelian varieties
- Diophantine approximation and transcendental number theory
- Ilaria Del Corso
I work in the area of Algebraic Number Theory and my research is mainly focused on the study of properties of local and global fields related to ramification. Recently, I have also studied problems connected with the determination of the Galois module structureof rings of integers of number fields. My research has a theoretical approach, but I like effective results.
- Roberto Dvornicich
- Davide Lombardo
My research interests lie in the area known as Diophantine geometry. I work mostly with elliptic curves and abelian varieties, as well as low-genus curves, and try to connect their arithmetic to their geometric properties. I am also interested in many problems with a computational flavour (explicit determination of rational points, rigorous determination of endomorphism rings...)
- Giuseppe Puglisi
- Carlo Viola
My current research concerns various subjects mainly related with Diophantine approximation to values of some special functions, including the Riemann zeta-function, the Euler dilogarithmic or polylogarithmic functions, etc. I employ some algebraic and analytic tools including the permutation group method, introduced by G. Rhin and myself about 20 years ago, and the saddle-point method in several complex variables for the asymptotic study of multiple integrals depending on a real parameter.