Geometry, Algebraic Commutative algebra Mathematics Numbers, Prime Data processing Galois theory Singularities (Mathematics) Algebra Algebraic Geometry Algebraic geometry Commutative Rings and Algebras Computer software Géométrie algébrique Logic, Symbolic and mathematical Mathematical Logic and Foundations Mathematical Software Number theory -- Algebraic number theory: global fields -- Class field theory Number theory -- Algebraic number theory: global fields -- Cubic and quartic extensions Number theory -- Algebraic number theory: global fields -- Cyclotomic extensions Number theory -- Algebraic number theory: global fields -- Quadratic extensions Number theory -- Computational number theory -- Primality Number theory -- Discontinuous groups and automorphic forms -- Holomorphic modular forms of integral weight Number theory -- Elementary number theory -- Primes Algebraic geometry -- Computational aspects in algebraic geometry [See also 12Y05, 13Pxx, 68W30] -- None of the above, but in this section Algebraic geometry -- Special varieties -- Toric varieties, Newton polyhedra [See also 52B20] Algebraische Geometrie Biology and other natural sciences -- Physiological, cellular and medical topics -- Systems biology, networks Combinatorial analysis Commutative algebra -- Computational aspects and applications [See also 14Qxx, 68W30] -- Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) Commutative algebra -- Computational aspects and applications [See also 14Qxx, 68W30] -- Solving polynomial systems; resultants