Coding theory Cryptography Number theory Abelian varieties Dimension theory (Algebra) Geometry, Algebraic Abelian varieties of dimension $> 1$ Algebraic coding theory; cryptography Algebraic geometry Algebraic number theory: global fields Applications to coding theory and cryptography Arithmetic algebraic geometry (Diophantine geometry) Arithmetic problems. Diophantine geometry Arithmetical algebraic geometry Computational aspects in algebraic geometry Curves Curves over finite and local fields Finite fields and commutative rings (number-theoretic aspects) Finite ground fields Polynomials Zeta and $L$-functions in characteristic $p$ Zeta and $L$-functions: analytic theory Zeta functions and $L$-functions of number fields Zeta-functions and related questions