The GMT is a twenty-five meter optical telescope currently under construction by a consortium of 12 institutions in four countries, plans to be operational in 2024 at the Las Campanas Observatory in Chile, one of the best astronomical sites in the world. KASI has been participating in the GMT project representing Korean astronomical community since 2009. The Korean GMT (K-GMT) is a KASI project supporting the participation in the GMT construction, development of state-of-art instruments, and preparation for the era of GMT. K-GMT is working closely with the Korean astronomical community through the science and instrument working group (SIWG) which is composed of about 15 members from KASI and Korean universities. Since its first composition in 2009, SIWG has been active in holding annual Summer school for the students and postdocs, publishing science books for GMT, and holding international conferences, etc. to foster academical next generation and promote scientific capability of the community.