主题词：Algebraic Geometry and Number Theory; Advanced Algebra and Geometry; Analytic Number Theory Research; Advanced Mathematical Identities; Geometric and Algebraic Topology; Homotopy and Cohomology in Algebraic Topology; Geometry and complex manifolds; Geometric Analysis and Curvature Flows; Mathematical Dynamics and Fractals; Spectral Theory in Mathematical Physics; Finite Group Theory Research; Holomorphic and Operator Theory; Advanced Mathematical Modeling in Engineering; Nonlinear Partial Differential Equations; Meromorphic and Entire Functions; Advanced Operator Algebra Research; Algebraic structures and combinatorial models; Polynomial and algebraic computation; advanced mathematical theories; Mathematics and Applications; Coding theory and cryptography; Advanced Topology and Set Theory; Advanced Topics in Algebra; Analytic and geometric function theory; Numerical methods in inverse problems