主题词：Algebraic Geometry and Number Theory; Advanced Algebra and Geometry; Algebraic structures and combinatorial models; Analytic Number Theory Research; Homotopy and Cohomology in Algebraic Topology; Polynomial and algebraic computation; Commutative Algebra and Its Applications; Finite Group Theory Research; Advanced Topics in Algebra; Advanced Combinatorial Mathematics; Geometry and complex manifolds; Advanced Mathematical Identities; Coding theory and cryptography; Geometric and Algebraic Topology; Limits and Structures in Graph Theory; Meromorphic and Entire Functions; Advanced Differential Equations and Dynamical Systems; Mathematical Dynamics and Fractals; Nonlinear Waves and Solitons; Rings, Modules, and Algebras; Advanced Topology and Set Theory; Cryptography and Residue Arithmetic; advanced mathematical theories; Advanced Operator Algebra Research; Tensor decomposition and applications