This is an opportunity to prepare your PhD thesis in the field of spintronics within theory group at SPINTEC Laboratory (Joint Research Unit of CEA, CNRS and University Joseph Fourier - Grenoble 1). SPINTEC's theory group has a broad expertise in a wide range of theoretical methods based on condensed matter theory and computational materials science. This work will be devoted to theory of spintronic phenomena in magnetic nanostructures of two types. First, spin and charge transport in tunnel junctions comprising one or two ferromagnetic electrodes separated by ferromagnetic or ferroelectric insulator will be investigated. Among the problems which will be addressed is interlayer exchange coupling and spin transfer torques. The second part of the thesis will be devoted to graphene spintronics. Namely, spin dependent phenomena in lateral graphene based structures will be studied. This will include magnetic material proximity induced spin polarization in graphene as well as studies of magnetocrystalline anisotropy behavior at graphene|magnetic material interfaces. The PhD will be theoretical in close interactions with experimental and theoretical groups located at Polygone Scientifique of Grenoble and abroad. A wide range of theoretical approaches will be used including non equilibrium Green functions, density functional theory (ab-initio) and tight-biding techniques.