主题词：Geometric and Algebraic Topology; Homotopy and Cohomology in Algebraic Topology; Algebraic structures and combinatorial models; Advanced Combinatorial Mathematics; Advanced Topics in Algebra; Advanced Operator Algebra Research; Advanced Algebra and Geometry; Algebraic Geometry and Number Theory; Topological and Geometric Data Analysis; semigroups and automata theory; Botulinum Toxin and Related Neurological Disorders; Nonlinear Waves and Solitons; Geometry and complex manifolds; Geometric Analysis and Curvature Flows; Advanced Numerical Analysis Techniques; Black Holes and Theoretical Physics; Connective tissue disorders research; Advanced Algebra and Logic; Commutative Algebra and Its Applications; Mathematical Dynamics and Fractals; Logic, programming, and type systems; Intracranial Aneurysms: Treatment and Complications; Quantum Mechanics and Applications; Matrix Theory and Algorithms; Finite Group Theory Research