"Mixed-dimensional heterostructures are a unique class of material combining components of distinct dimensionalities through van der Waals interactions, e.g., zero-dimensional organic molecules self-assembled on two-dimensional (2D) materials. In addition to the versatile tunability of organic molecules and advantageous properties of 2D materials, the interface coupling has demonstrated exotic electronic and excitonic properties beyond those of the individual component, promising for next-generation electronic and optoelectronic applications. Here I will introduce some intriguing interfacial phenomena in mixed-dimensional heterostructures, our understanding on the physics and their potential applications. I will show that organic molecules and interlayer coupling provides an incredible avenue to engineer the band structure and interlayer exciton dynamics in mixed-dimensional heterostructures, such as that consisting of titanyl phthalocyanine molecules and monolayer MoS2. Finally, I will introduce a computational approach for the heterogeneous and incomplete screening at the interface for mixed-dimensional heterostructures, advancing our understanding and capabilities in this emerging field."