Colloids and interface science focuses on understanding interfacial phenomena in dispersed systems, enabling advancements in heat transfer, coatings, and surface design. Advanced computational techniques, such as spline modeling and energy minimization, enhance predictions of droplet shapes and detachment. We also study lubricant-infused surfaces for their superior repellency and applications in self-cleaning and condensation. Additionally, our models of droplet evaporation dynamics provide insights for technologies like spray cooling and inkjet printing. Through experiments and simulations, we aim to develop innovative solutions for energy and material systems.