Algebra, Geometry and Topology

Algebra, geometry and topology are classical research areas in mathematics, sharing a long historical tradition of fruitful interaction. Algebra, Geometry and Topology is a section of the open access peer-reviewed journal Mathematics, which publishes advanced studies in the areas of algebra, geometry and topology and their applications in related fields, including algebra, differential geometry, global analysis, complex geometry, computational aspects, arithmetic, cryptography, topology. 

Prof. Dr. Adolfo Ballester-Bolinches
Section Editor-in-Chief

Keywords

• projective algebraic geometry
• ring theory
• noncommutative algebraic geometry
• semigroup theory
• abstract group theory
• representation theory
• geometric group theory
• topology of algebraic varieties
• singularities
• resolution of singularities
• knot theory
• differential geometry
• birational geometry
• symplectic geometry
• geometric invariant theory
• tropical geometry
• real algebraic geometry
• algebraic topology
• homotopy theory
• topology of Lie groups
• homotopical group theory
• topology/geometry in low dimensions
• high-dimensional geometric topology
• gauge theory
• (co)homology theory in algebraic geometry
• modular varieties
• arithmetic varieties
• algebraic curves
• algebraic surfaces
• higher-dimensional varieties
• Calabi–Yau manifolds
• abelian varieties
• Kähler–Einstein manifolds
• hyper–Kähler manifolds
• moduli spaces
• mirror symmetry
• Hodge theory
• complex manifolds
• computational algebra
• coding theory and cryptography