主题词：Polynomial and algebraic computation; Sparse and Compressive Sensing Techniques; Advanced Numerical Methods in Computational Mathematics; Topological and Geometric Data Analysis; Numerical methods for differential equations; Matrix Theory and Algorithms; Advanced Numerical Analysis Techniques; Advanced Optimization Algorithms Research; Advanced Mathematical Modeling in Engineering; Numerical methods in inverse problems; Homotopy and Cohomology in Algebraic Topology; Commutative Algebra and Its Applications; Algebraic Geometry and Number Theory; Mathematical Dynamics and Fractals; Tensor decomposition and applications; Quantum chaos and dynamical systems; Nonlinear Waves and Solitons; Mathematical Approximation and Integration; Advanced Combinatorial Mathematics; Mathematical functions and polynomials; Numerical methods in engineering; Geometric Analysis and Curvature Flows; Image and Signal Denoising Methods; Stochastic Gradient Optimization Techniques; Algebraic structures and combinatorial models