主题词：Algebraic structures and combinatorial models; Advanced Topics in Algebra; Advanced Algebra and Geometry; Homotopy and Cohomology in Algebraic Topology; Algebraic Geometry and Number Theory; Advanced Combinatorial Mathematics; Diverse Scientific and Economic Studies; Geometric Analysis and Curvature Flows; Human auditory perception and evaluation; Geometric and Algebraic Topology; Geometry and complex manifolds; Educational Robotics and Engineering; Mathematical Dynamics and Fractals; Advanced Operator Algebra Research; Nonlinear Waves and Solitons; Advanced Topology and Set Theory; Holomorphic and Operator Theory; Nonlinear Partial Differential Equations; Point processes and geometric inequalities; Finite Group Theory Research; Advanced Mathematical Modeling in Engineering; Advanced Harmonic Analysis Research; Commutative Algebra and Its Applications; Advanced Mathematical Identities; Polynomial and algebraic computation