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Geometric properties of Hilbert schemes
Developing regional networks of Math Teacher Circles
Mathematical foundations for AI agents in complex environments
Modularity and quantum topology
Generalized logics and inner models
Categorification of Verma modules and surgery formulae
Probabilistic methods, random matrices, and L-functions
Themes and trends in structural graph theory
Uniform Roe algebras: structure and invariants
New frontiers in dispersive integrable equations
Analytic and Geometric approaches to the Bhargava-Malle and Batyrev-Manin conjectures