Aims and scope

The journal Extracta Mathematicae publishes carefully selected original research papers. High-level expository articles of exceptional quality will be considered. The journal emphasizes the publication of papers in the following areas and their interplay:

Functional analysis

Theory of classical Banach spaces

Quasi-Banach spaces

Nonlinear classification of Banach spaces

Categorical methods in functional analysis

Functional analytic methods for partial differential equations

Vector valued analysis

Operator theory

Interpolation theory

Operator ideals and their interplay with the geometry of Banach spaces

Evolution equations on Banach spaces

Spectral theory

Fredholm operators

Operator semigroup theory

Stochastic differential equations on Banach spaces

Real and harmonic analysis

Interpolation and extrapolation

Rearrangement invariant spaces

Weighted inequalities

Maximal operators

Singular integral operators

Commutative algebra

Commutative algebra

Associative rings and algebras

Homological algebra

Homological algebra and its applications

Homotopical methods and their applications

Computer science

Applied category theory

Higher dimensional algebra

Algebraic topology

Algebraic geometry

Algebraic singularities

Non-commutative algebra

Group theory

Finite group theory and representation theory of finite groups

Representation theory of algebras and groups

Matrix theory

Non-associative rings and algebras

Differential geometry and geometric mechanics

Differential geometry and applied differential geometry

Continuum mechanics

Numerical methods and control theory

Algebraic and geometric structures associated with mathematical physics

Graded differential geometry

Discrete mathematics

Descriptive set theory

Combinatorial set theory

Boolean algebras

Cryptography

Coding theory

Computer science