主题词：Advanced Topics in Algebra; Advanced Algebra and Geometry; Algebraic structures and combinatorial models; Homotopy and Cohomology in Algebraic Topology; Algebraic Geometry and Number Theory; Geometric and Algebraic Topology; Mathematical Dynamics and Fractals; Advanced Operator Algebra Research; Geometric Analysis and Curvature Flows; Finite Group Theory Research; Advanced Mathematical Modeling in Engineering; Advanced Topology and Set Theory; Advanced Combinatorial Mathematics; Geometry and complex manifolds; advanced mathematical theories; Spectral Theory in Mathematical Physics; Advanced Algebra and Logic; Holomorphic and Operator Theory; Nonlinear Waves and Solitons; Advanced Mathematical Physics Problems; Quantum chaos and dynamical systems; Mathematics and Applications; Nonlinear Partial Differential Equations; Advanced Banach Space Theory; Rings, Modules, and Algebras