Academic Report No.45： The translation geometry of Polya's shires

Liyuan Scholars Colloquium Session 169: The Maximum Principle and Dynamic Programming in Optimal Control Problems

Academic Report No.44： B-coloring of planar graphs

Academic Report No.43： Cutoff for the inversion walk on tournaments and the state space of restricted inversions

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