主题词：Advanced Algebra and Geometry; Algebraic structures and combinatorial models; Advanced Topics in Algebra; Algebraic Geometry and Number Theory; Finite Group Theory Research; Nonlinear Waves and Solitons; Advanced Combinatorial Mathematics; Homotopy and Cohomology in Algebraic Topology; Advanced Operator Algebra Research; Geometry and complex manifolds; Geometric and Algebraic Topology; Coding theory and cryptography; advanced mathematical theories; Molecular spectroscopy and chirality; Holomorphic and Operator Theory; Advanced Mathematical Identities; Analytic Number Theory Research; Random Matrices and Applications; graph theory and CDMA systems; Algebraic and Geometric Analysis; Axial and Atropisomeric Chirality Synthesis; Spectral Theory in Mathematical Physics; Mathematical Analysis and Transform Methods; Commutative Algebra and Its Applications; Crystal structures of chemical compounds