My research and academic interests are centered on the intersection of theoretical and computational applied mathematics. I am passionate about developing and applying mathematical models, particularly using techniques like the Homotopy perturbation method, to solve complex, high-dimensional problems in fluid dynamics and stability theory. My research focuses on the flow of complex (non-Newtonian) fluids, often with heat and mass transfer, through porous media and under the influence of magnetic fields (MHD). A significant and current focus is on the behavior of nanofluids and the bioconvection of motile microorganisms, exploring their applications in various engineering and biological contexts, such as arterial stenosis. As an educator, I am dedicated to bridging the gap between theory and application. I strive to create an engaging learning environment by integrating computational tools like MATHEMATICA and real-world case studies from biology, engineering, and finance into my teaching. My goal is to equip students with both a strong theoretical foundation and the practical skills needed to solve scientific and industrial challenges.