主题词：Homotopy and Cohomology in Algebraic Topology; Algebraic structures and combinatorial models; Advanced Topics in Algebra; Geometric and Algebraic Topology; Topological and Geometric Data Analysis; Algebraic Geometry and Number Theory; Advanced Algebra and Geometry; Advanced Combinatorial Mathematics; Advanced Topology and Set Theory; Advanced Operator Algebra Research; Commutative Algebra and Its Applications; Rings, Modules, and Algebras; Nonlinear Waves and Solitons; Mathematics and Applications; Black Holes and Theoretical Physics; Intracranial Aneurysms: Treatment and Complications; Geometric Analysis and Curvature Flows; Advanced Algebra and Logic; Advanced Differential Equations and Dynamical Systems; Finite Group Theory Research; Polynomial and algebraic computation; Ophthalmology and Eye Disorders; Fuzzy and Soft Set Theory; Geometry and complex manifolds; Logic, programming, and type systems