Academic Report No. 36: Density Hajnal—Szemerédi theorem for cliques of size four

Academic Report No. 35: Minimal Entropy Conditions for Scalar Conservation Laws

Academic Report No. 34: Perturbations of exponential maps

Liyuan Scholars Colloquium No. 126: Mathematical Foundations and Applications of Generative Artificial Intelligence

Liyuan Scholars Colloquium No. 125: A Selective Overview of FDR Control Methods in High Dimensions and A New Stabilized eBH Method

Liyuan Scholars Colloquium No. 124: Experimental Design: Historical Evolution and Cutting-Edge Applications

Academic Report No. 33: A threshold dislocation dynamics method

Academic Report No. 32: Global-in-time Well-posedness of Classical Solutions to the Vacuum Free Boundary Problem for the Viscous Saint-Venant System with Large Data

Academic Report No. 31: A coupled multi-physics model and a decoupled stabilized finite element method for closed-loop geothermal system

Academic Report No. 30: Modelling and Analysis of Spatially Correlated Event Time Data using Dynamic Modeling and Geostatistical Formulation

Academic Report No. 29: Research on Circular RNA Aptamers for Precision Tumor Therapy

Liyuan Distinguished Scholars Lecture Series No. 36: Solving Hamilton-Jacobi-Bellman Equations using at most four-armed slot machines

Liyuan Scholars Colloquium No. 123: AI and Linear Algebra

Liyuan Scholars Colloquium No. 122: Optimal Control Problems with Generalized Mean-Field Dynamics and Viscosity Solution to Master Bellman Equation

Academic Report No. 28: Bayesian Dictionary Learning on Robust Tubal Transformed Tensor Factorization