The aim of the talk is to introduce some arithmetic properties of plane curves over finite fields,in particular to look at the distribution of their number of p
We show how to efficiently compute functions on Jacobian varieties and their quotients.We deduce a quasi-optimal algorithm to compute (l,l) isogenies between Ja
This is a work in progress with Chantal David and Sandro Bettin.Is it possible to find families of elliptic curve such that the parity of the rank over Q(t) doe
Let E be an elliptic curve defined over Q with conductor N.From the modularity of E,it is known that there exists a rational map φ:X0(N)→E so-called the modul
We will give an overview on euclidean and hermitian lattices in number theory,and in particular on reduction theories with a focus on Vonoro(i) reduction.
We consider a nonlocal delayed reaction-diffusion equation in a semi-infinite in-terval that describes mature population of a single species with two age st
I will first review basic algorithms:explicit Riemann-Roch and computing with the Picard group.I will then discuss the mathematics behind the problem of determi