Algebraic Geometry
Definition of Algebraic Geometry as it relates to Science, Mathematics, Pure Mathematics
Algebraic geometry is a branch of pure mathematics that uses tools from abstract algebra to study geometric objects, such as curves and surfaces. It combines techniques from commutative algebra, field theory, and number theory to investigate the properties of these objects and their relationships with each other. Algebraic geometers may study questions about the topology, symmetry, singularities, and moduli spaces of algebraic varieties. The subject has applications in many areas of mathematics and science, including coding theory, cryptography, and physics.