Academic Report No. 9：Babu\v{s}ka Problem in Composite Material and its Applications

Academic Report No. 8：Gibbs measures and Gibbs dynamics for nonlinear dispersive partial differential equations

Academic Report No. 7：Learning to optimally stop a diffusion process

Academic Report No. 6：On L2-orbital stability of Hasimoto soliton solutions for the Hirota equation on the line

Liyuan Scholars Colloquium Session 161: From Tight Riemann Surfaces to Three-Dimensional Clusters—A Microcosm of Biholistic Geometry's Evolution

Liyuan Scholars Colloquium Session 160:From Solving Equations to Galois Theory

Academic Report No. 5：Research on the Evolutionary Trends of Hongze Lake Ecosystem Dynamics Under the Decade-Long Fishing Ban

Academic Report No. 4：Risk-sensitive Reinforcement Learning Based on Convex Scoring Functions

Liyuan Scholars Colloquium Session 159:Bergman metrics have constant holomorphic sectional curvatures

Academic Report No. 3：Finite-Horizon Optimal Consumption and Investment Problem with Endogenously Updating Consumption Bounds

Academic Report No. 2：Life-cycle planning model with rational inattention

Academic Report No. 1：Hopfian, co-Hopfian and equationally Noetherian

Academic Report No. 158：A derivative-free localized stochastic method for very high-dimensional semi-linear parabolic PDEs

Academic Report No. 157：Fuzzy Mathematics and Its Applications in Information Science

Liyuan Scholars Colloquium Session 158:Rogue wave universality for the focusing nonlinear Schrödinger equation