主题词：Spectral Theory in Mathematical Physics; Nonlinear Waves and Solitons; Geometric Analysis and Curvature Flows; Algebraic structures and combinatorial models; Theoretical and Computational Physics; Quantum chaos and dynamical systems; Stochastic processes and statistical mechanics; Random Matrices and Applications; Advanced Mathematical Physics Problems; Geometry and complex manifolds; Advanced Operator Algebra Research; Advanced Topics in Algebra; Numerical methods in inverse problems; Nonlinear Photonic Systems; Black Holes and Theoretical Physics; Advanced Mathematical Modeling in Engineering; Quantum Mechanics and Non-Hermitian Physics; Advanced Algebra and Geometry; advanced mathematical theories; Nonlinear Partial Differential Equations; Homotopy and Cohomology in Algebraic Topology; Holomorphic and Operator Theory; Advanced Differential Geometry Research; Algebraic and Geometric Analysis; Mathematical Dynamics and Fractals