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The 2026 NCTS Summer School will feature lectures delivered by international experts, including Prof. Takahiro Morimoto (Kyoto University), Prof. Tomoki Ozawa (Tohoku University) and Prof. Jun Won Rhim (Ajou University), as well as domestic experts, Dr. Christophe De Beule (NCKU), Prof. Shin-Ming Huang (NSYSU), and Prof. Hsiu-Chuan Hsu (NCCU). The program aims to introduce fundamental theoretical approaches to quantum geometry, topology, and nonlinear phenomena while linking these concepts to current research frontiers across quantum materials and engineered quantum systems. The school seeks to bring together students, postdoctoral researchers, and early-career scientists working in theoretical condensed matter physics and related areas, providing a platform for participants to engage with cutting-edge developments and foster interdisciplinary interactions within the rapidly evolving field of quantum science.