Caio Lewenkopf Title: Electronic Transport in Disordered Graphene Sheets and Nanoribbons Abstract: Recent results of our numerical simulations of electronic transport in disordered graphene will be presented. Issues related to the scaling of the conductivity and the shot-noise Fano factor of large graphene sheets at zero and finite doping will be discussed. The effect of a weak external magnetic field and the problem of weak localization at the Dirac point and away form it will also be addressed. Our calculations are mostly based on an efficient implementation of the recursive Green's function method. In some cases, like long range disorder in large graphene sheets, we also employ a procedure based on the Kubo formula. I will also address the importance of boundaries in narrow graphene samples, showing how edge and bulk disorder may affect the mesoscopic conductance of graphene nanoribbons under a variety of realistic situations. We find that even for weak edge roughness, conductance steps are suppressed and a transport gap develops near the neutrality point due to strong localization. The gap inferred from our simulations is similar in magnitude to the energy gaps induced by other mechanisms, such as Coulomb blockade, many-body correlations, and lattice distortions. Dephasing effects on the conductance will also be discussed.