In this project, we plan to use density functional theory (DFT) and its combination with dynamical mean field theory (DMFT) to pursue three major lines of research. First, we will focus on the nature of the strong electronic correlations in transition metal oxides. Recent studies demonstrated that the most relevant features of electronic and magnetic properties in transition metal oxides can be described even in plain DFT if one allows for spin and structural "motifs" [see e.g. Appl. Phys. Rev. 7, 041310 (2020)]. This suggests that a "non-local uncorrelated" description of the electronic structure may be better than a "local correlated" description, which requires advanced many-body methods. To assess this hypothesis, we will perform a detailed comparison of these two approaches using NiO as a test-case, focusing on electronic, structural and magnetic properties as well as X-ray absorption spectra at various temperatures. Our results will be compared to experimental measurements provided by Prof. D.D. Sarma at the Indian Institute of Science in Bangalore, providing a crucial insight into a fundamental problem in materials theory. Second, we will focus on (111)-oriented superlattices of LaMnO3 and SrMnO3. In two previous studies [npj Comp. Mater. 8, 1 (2022); Phys. Rev. B 109, 045435 (2024)], we showed that these systems exhibit robust half-metallic ferromagnetism that does not originate from interfacial effects but from phase transition associated to the (111) stacking sequence. During the last year, we investigated finite-temperature magnetism and response to epitaxial strain [still unpublished], which are important for experimental realization. Now we intend to perform DFT+DMFT calculations to investigate many-body effects and the emergence of Hund's metallicity. These calculations will also provide an estimate of the mean-field ordering temperature that will be compared to the magnetic phase diagram obtained via multi-scale simulations based on an effective Heisenberg model [Atomistic Spin Dynamics, Oxford University Press, 2017]. Our third line of research is focused on the strong correlation effects in Fe stannides. We previously investigated Fe3Sn, which is a ferromagnetic kagome metal with a high Curie temperature and a large magnetic anisotropy energy [Phys. Rev. B 111, 235127 (2025)]. We now intend to investigate Fe3Sn2, which possesses a structural stacking that makes it closer to the two-dimensional kagome limit than Fe3Sn. Experimental studies have reported on many exotic features, including massive Dirac fermions [Nature 555, 638 (2018)] and a large anomalous Hall conductivity [Phys. Rev. B 101, 161114R (2020)]. In collaboration with Prof. J. Minar at West Bohemia University, Czech Republic, we performed preliminary work to determine the origin of these features as well as the electron pockets and mysterious bands observed in laser-based micro-focused angle-resolved photoemission spectroscopy [Nature 627, 67 (2024)]. Our goal is to perform DFT and DFT+DMFT calculations to model the photoemission spectra accurately and determine inter-atomic exchange parameters with and without relativistic effects, to highlight the differences between Fe3Sn2 and Fe3Sn.