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