主题词：Advanced Topology and Set Theory; Computability, Logic, AI Algorithms; Rings, Modules, and Algebras; Mathematical and Theoretical Analysis; Homotopy and Cohomology in Algebraic Topology; Advanced Algebra and Logic; semigroups and automata theory; Logic, Reasoning, and Knowledge; Algebraic Geometry and Number Theory; Mathematical Dynamics and Fractals; Limits and Structures in Graph Theory; Advanced Operator Algebra Research; Advanced Banach Space Theory; Logic, programming, and type systems; Advanced Topics in Algebra; Complexity and Algorithms in Graphs; Benford’s Law and Fraud Detection; Algebraic structures and combinatorial models; Advanced Algebra and Geometry; Topological and Geometric Data Analysis; Cellular Automata and Applications; Functional Equations Stability Results; Geometric and Algebraic Topology; Economic theories and models; Mathematics and Applications