The International Symposium on the Mathematics and Mechanics of Emerging Materials and Structures was held in Tianjin from June 15 to 18, 2025, in Tianjin, organized by CSTAM and hosted by Tianjin University. It attracted over 80 experts from more than 50 universities and research institutions worldwide, featuring 30 invited talks covering emerging materials, structural design, topological phases, and metamaterial.