J/$\psi$ production in pp and Pb-Pb with ALICE at the LHC

ALICE is the Large Hadron Collider (LHC) experiment dedicated to the study of heavy ion collisions. The main purpose of ALICE is to investigate the properties of a new state of deconfined nuclear matter, the Quark Gluon Plasma (QGP). Quarkonium measurements will play a crucial role in this investigation due to the interplay of several competing mechanisms that are predicted to modify its production in the presence of a QGP. During the 2010 and 2011 LHC campaigns, ALICE took pp data at sqrt(s)=2.76 and 7 TeV and Pb-Pb data at sqrt(s_nn)=2.76 TeV. We present the latest results of J/psi production under these conditions, measured by the ALICE experiment at both mid- and forward-rapidities.