Advances in the Mathematical Sciences

Preface.- Minimal Free Resolutions of Edge Ideals of Edge-Weighted Complete Bipartite Graphs.- Cell Closures for Two-Row Springer Fibers via Noncrossing Matchings.- Categorification of Verma modules and indecomposable projective modules in the category I?? (????2).- The Meyers-Serrin Theorem on Riemannian manifolds: a survey.- On minimal symplectic alternating algebras.- On Choquet integrals and pointwise estimates.- Recent developments on convex integration technique applied to stochastic partial differential equations.- Adams' type inequalities in the whole R4 with increasing weights.- Contributions on the Cage and Diameter Problems and Beyond.- Log-Sum Regularized Kaczmarz Algorithms for High-Order Tensor Recovery.- Group Key Establishment in the Post-Quantum
Setting: Constructions and Research Avenues.- Dynamic allocation function design in the presence of magnitude saturating inputs.- Unified analysis of algorithms for equilibrium, non-equilibrium, and hysteresis models of phase transition in permafrost.- Large Deviations: A Survey on its Theory and Applications.- Renovating Calculus through Interdisciplinary Partnerships Using the SUMMIT-P Model.