NONTECHNICAL SUMMARY A central challenge for quantum materials is understanding how large numbers of electrons interact and organize themselves into collective quantum states. These interactions often lead to emergent behavior, where the system exhibits new properties that are more than those of the sum of its parts. Well-known examples include superconductivity, which enables electric current to flow without resistance, and magnetism, which enables materials to generate magnetic fields. These phenomena have led to mature applications in technologies such as medical imaging and magnetic storage. Even more exotic is the phenomenon of charge fractionalization, where the material behaves as if its electrons have split up and carry a fraction of the electron charge. Such effects could potentially be harnessed to enable noise-resilient quantum information processing. Recent advances in experimental techniques have made it possible to fabricate and measure mesoscopic-scale quantum devices that serve as simplified yet powerful platforms for studying these interactions. This project seeks to deepen our understanding of theoretical models and to bridge the gap between theory and experiment by making testable predictions using advanced analytical and numerical techniques. By predicting signatures of complex electron interactions in relatively simple quantum devices, the research will propose new approaches to create and probe electronic states that go beyond conventional theories. The project also emphasizes education and workforce development. Graduate and undergraduate students will receive training in advanced theoretical and computational methods and will participate in research at the frontiers of quantum science. Outreach and classroom activities will include hands-on demonstrations of quantum entanglement and the development of a modern course on superconductivity, both available to the general public. These efforts aim to broaden public understanding of quant