主题词：Advanced Topics in Algebra; Algebraic structures and combinatorial models; Advanced Operator Algebra Research; Homotopy and Cohomology in Algebraic Topology; Advanced Algebra and Geometry; Noncommutative and Quantum Gravity Theories; Geometric and Algebraic Topology; Spectral Theory in Mathematical Physics; Algebraic Geometry and Number Theory; Holomorphic and Operator Theory; Nonlinear Waves and Solitons; Advanced Banach Space Theory; Geometric Analysis and Curvature Flows; Black Holes and Theoretical Physics; Advanced Algebra and Logic; Advanced Topology and Set Theory; Geometry and complex manifolds; Algebraic and Geometric Analysis; Advanced Combinatorial Mathematics; Commutative Algebra and Its Applications; Topological and Geometric Data Analysis; Finite Group Theory Research; Mathematical Analysis and Transform Methods; advanced mathematical theories; Matrix Theory and Algorithms