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I am Luis Cort Barrada. I have finished my Ph.D. in the "Quantum many-body theory" group whose group leader is Professor Robert van Leeuwen. I have completed my Ph.D. in Time-dependent density-functional theory for strongly correlated electrons, and the thesis has been defended on the 1st of March of 2019. After my dissertation, I am interested in the study of strongly correlated systems as strongly correlated electrons, continuing the research I started during my Ph.D. as well as dealing with the problem using and developing the general approaches in Quantum many-body theory.