主题词：Nonlinear Partial Differential Equations; Advanced Mathematical Modeling in Engineering; Geometric Analysis and Curvature Flows; Advanced Mathematical Physics Problems; Geometry and complex manifolds; Algebraic structures and combinatorial models; Homotopy and Cohomology in Algebraic Topology; Geometric and Algebraic Topology; Nonlinear Differential Equations Analysis; Advanced Topics in Algebra; Algebraic Geometry and Number Theory; Stability and Controllability of Differential Equations; Numerical methods in inverse problems; Nonlinear Waves and Solitons; Spectral Theory in Mathematical Physics; Advanced Algebra and Geometry; Advanced Harmonic Analysis Research; Differential Equations and Boundary Problems; Navier-Stokes equation solutions; Point processes and geometric inequalities; Mathematical Dynamics and Fractals; Advanced Differential Geometry Research; Advanced Operator Algebra Research; Advanced Combinatorial Mathematics; Quantum chaos and dynamical systems