We aim to perform advanced research leading the world in theoretical astrophysics and contribute to the development of related studies in ASIAA and Taiwan. Our main scientific goal is to understand the origin and evolution of structures in the Universe from cosmological to planetary scales. Formation of structures occurs through strongly nonlinear evolution caused by gravity and multiple/complex physical processes (especially hydrodynamical and radiative processes). In spite of such a complexity, the understanding of the formation of galaxies, stars, and planets has become feasible in ASIAA because of the advanced observations by the radio and optical-infrared (OIR) projects. In parallel with the great successes of the observational projects, we have been developing theoretical projects. Computational simulations together with analytic studies provide physical understandings and discoveries regarding the multi-scale structure formation in the Universe.