Integrative transformation of the yeast Yarrowia lipolytica

International audienc

Secretion of human blood coagulation factor XIIIa by the yeast Yarrowia lipolytica

International audienc

Colocalization of centromeric and replicative functions on autonomously replicating sequences isolated from the yeast Yarrowia lipolytica

International audienc

Colocalization of centromeric and replicative functions on autonomously replicating sequences isolated from the yeast Yarrowia lipolytica

International audienc

Shimura Curve Computations

We give some methods for computing equations for certain Shimura curves, natural maps between them, and special points on them. We then illustrate these methods by working out several examples in varying degrees of detail. For instance, we compute coordinates for all the rational CM points on the curves X*(1) associated with the quaternion algebras over Q ramified at {2, 3}, {2, 5}, {2, 7}, and {3, 5}. We conclude with a list of open questions that may point the way to further computational investigation of these curves

Arithmetic Aspects of Bianchi Groups

We discuss several arithmetic aspects of Bianchi groups, especially from a computational point of view. In particular, we consider computing the homology of Bianchi groups together with the Hecke action, connections with automorphic forms, abelian varieties, Galois representations and the torsion in the homology of Bianchi groups. Along the way, we list several open problems and conjectures, survey the related literature, presenting concrete examples and numerical data