Academic Report No.42：Natural graph spectra

Academic Report No.41：Diagrammatic Presentations of Affine and Cyclotomic q-Schur Algebras via Web Categories

Academic Report No.40：Spike solitons and weak solutions of the mCH equation

Liyuan Scholars Colloquium Session 167: Momentum Stability and Adaptive Control in Stochastic Reconfiguration

Liyuan Scholars Colloquium Session 166: Quantitative Asymptotics for Time-Inhomogeneous Levy-Driven SDEs with Asymptotically Vanishing Drifts

Academic Report No.39：Riemannian Momentum on Quaternionic Manifolds: A New Frontier for High-Dimensional Signal Recovery

Academic Report No.38：From Bytes to Bucks: The Influence of Social Media Commentary on Private Placement in Chinese Listed Companies

Academic Report No.37：BSDEs driven by G-Brownian motion under degenerate case and its application to the regularity of fully nonlinear PDEs

Academic Report No.36：SESOP-CP: Accelerating Tensor Decomposition via Sequential Subspace Optimization

Academic Report No.35：Thermodynamics-Informed Machine Learning for Multiscale PDE Models

Liyuan Scholars Colloquium Session 165: Darcy's law in Porous medium flows

Liyuan Scholars Colloquium Session 164: Recent Advances in Research on Complex Dynamical Systems and Artificial Intelligence

Academic Report No.34：Mathematical Foundations of Next-Generation Machine Learning

Academic Report No.33：Deciphering Nuclei-Resolved Spatial Biology by Uniting Spatial Omics and Histopathology

Liyuan Scholars Colloquium Session 163: Hermitian-Yang-Mills equation on Higgs bundles