主题词：advanced mathematical theories; Advanced Algebra and Geometry; Algebraic Geometry and Number Theory; Geometric and Algebraic Topology; Matrix Theory and Algorithms; Advanced Optimization Algorithms Research; Analytic Number Theory Research; Iterative Methods for Nonlinear Equations; Geometric Analysis and Curvature Flows; Graph theory and applications; Advanced Topics in Algebra; Point processes and geometric inequalities; Commutative Algebra and Its Applications; Meromorphic and Entire Functions; Advanced Graph Theory Research; Mathematical Dynamics and Fractals; Finite Group Theory Research; Holomorphic and Operator Theory; Homotopy and Cohomology in Algebraic Topology; Advanced Harmonic Analysis Research; Coding theory and cryptography; Mathematical Analysis and Transform Methods; Limits and Structures in Graph Theory; Mathematical Inequalities and Applications; Fixed Point Theorems Analysis