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Explore cutting-edge mathematical research in this 46-minute lecture from the Frontiers in Mathematics Lecture Series 2023 at the University of Miami. Delve into the topic of "Linearized instability for neutral functional differential equations with state-dependent delays" presented by Jacqueline Godoy Mesquita. Gain insights into recent findings from her collaborative work with Professor Bernhard Lani-Wayda from Justus-Liebig University in Giessen, Germany. Enhance your understanding of advanced mathematical concepts and their applications in this thought-provoking presentation.