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My name is Rakesh Kumar, currently working as an Alexander Humboldt Research Fellow at Karlsruhe Institute of Technology (KIT), Germany. My current research primarily focuses on investigating nonlinear properties of Nonlinear Impulsive Differential Equations with variable-time impulses. Specifically, I am interested in stability, periodic/almost periodic solution, bifurcation, and the Finite-Time/Fixed-Time stability of differential equations with time-delays. My research has potential applications in various fields such as neural networks, complex networks, population dynamic models, and infectious disease models. I am enthusiastic about exploring new research avenues in nonilinear impulsive differential equations and providing effective solutions to existing problems. My work reflects my commitment to research and my goal to make significant contributions to the field of appllied mathematics.