Coding theory Geometry, Algebraic Number theory Algebraic coding theory; cryptography Algebraic geometry Algebraic number theory: global fields Algebraic numbers; rings of algebraic integers Algebras and orders Arithmetic ground fields Arithmetic problems. Diophantine geometry Arithmetic theory of algebraic function fields Associative rings and algebras Calculus of variations and optimal control; optimization Calibrations and calibrated geometries Class field theory Curves Differential equations, Elliptic Differential geometry Division algebras Elliptic equations and systems Families, fibrations Fine and coarse moduli spaces Finite fields and commutative rings (number-theoretic aspects) Finite ground fields General nonassociative rings Global differential geometry Information and communication, circuits Jordan algebras Jordan algebras (algebras, triples and pairs) Manifolds