"Complex oxides with competing interactions are one of the biggest challenges in condensed matter physics and at the same time promising materials for applications. The recent developments in ARPES (angle-resolved photoemission spectroscopy) studies of cuprates opens a direct window on how strong correlations renormalize energy bands, and may provide important clues into the unusual properties of these materials. The proposed research will combine the Guest's expertise in modeling complex oxide spectroscopies (ARPES, RIXS -- resonant inelastic x-ray scattering) via a weak coupling route (Hartree-Fock to RPA to self-consistent Born approximation -- SCBA) with the Host's strong coupling expertise (time-dependent Gutzwiller approximation -- TDGA) to provide a deeper understanding of cuprate physics. In particular, electron-doped cuprates have been modeled as uniform antiferromagnetic superconductors, with renormalized hopping parameters (with respect to first-principles LDA calculations) and a doping dependent Hubbard U. We hope to explain the renormalization via SCBA and the doping dependence of U via TDGA. The same model, with similar parameters, should apply to hole-overdoped cuprates. We will use TDGA to generate stripe physics, to extend the model to the hole-underdoped (pseudogap) regime. Extensions to other systems (metallic nickel) will also be undertaken."