主题词：Advanced Algebra and Geometry; Algebraic structures and combinatorial models; Advanced Topics in Algebra; Algebraic Geometry and Number Theory; Geometric Analysis and Curvature Flows; Holomorphic and Operator Theory; Geometry and complex manifolds; Differential Equations and Boundary Problems; Finite Group Theory Research; Differential Equations and Numerical Methods; Nonlinear Differential Equations Analysis; Fractional Differential Equations Solutions; Geometric and Algebraic Topology; Stochastic processes and financial applications; Algebraic and Geometric Analysis; Advanced Mathematical Modeling in Engineering; Nonlinear Waves and Solitons; Advanced Combinatorial Mathematics; Statistical Distribution Estimation and Applications; Probability and Risk Models; advanced mathematical theories; Statistical Methods and Inference; Financial Risk and Volatility Modeling; Mathematical Dynamics and Fractals; Advanced Operator Algebra Research