主题词：Advanced Algebra and Geometry; Algebraic Geometry and Number Theory; Algebraic structures and combinatorial models; Black Holes and Theoretical Physics; Homotopy and Cohomology in Algebraic Topology; Advanced Combinatorial Mathematics; Advanced Mathematical Identities; Geometry and complex manifolds; Analytic Number Theory Research; Nonlinear Waves and Solitons; Geometric and Algebraic Topology; Advanced Topics in Algebra; Noncommutative and Quantum Gravity Theories; Polynomial and algebraic computation; Algebraic and Geometric Analysis; Particle physics theoretical and experimental studies; Geometric Analysis and Curvature Flows; Mathematical Dynamics and Fractals; advanced mathematical theories; Advanced Operator Algebra Research; Topological and Geometric Data Analysis; Quantum Chromodynamics and Particle Interactions; Mathematical functions and polynomials; Cosmology and Gravitation Theories; Finite Group Theory Research