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Geodesics
Emerging applications of complexity for CR mappings
Parameter identification in graphical models
Algebraic systems with only real solutions
The geometry of the outer automorphism group of a free group
Waves and multiscale processes in the tropics
Random matrices
Sustainability Problems
Deformation theory, patching, quadratic forms, and the Brauer group
Hypergraph Turán problem
Unlikely intersections in algebraic groups and Shimura varieties
The Cohen-Lenstra heuristics for class groups
Branching problems for unitary representations
Graph and hypergraph limits
L2 invariants and their relatives for finitely generated groups