Covered areas

The journal emphasizes the publication of papers in the following areas and their interplay:

Functional analysis

Banach space theory (including its interplay with Set theory and Ramsey methods, Topology and the Nonlinear classification of Banach spaces)

Quasi-Banach spaces

Banach spaces of continuous functions

Categorical and homological methods in functional analysis

Functional analytic methods for partial differential equations

Vector valued analysis

Convexity

Convex analysis

Metric geometry

Geometry of finite dimensional Banach spaces

Operator theory

Operator theory

Interpolation theory

Operator ideals and their interplay with the geometry of Banach spaces

Evolution equations on Banach spaces

Spectral and local spectral theory

Fredholm operators

Operator algebras

Operator semigroup

Stochastic differential equations on Banach spaces

Real and harmonic analysis

Interpolation and extrapolation

Rearrangement invariant spaces

Weighted inequalities

Maximal operators

Singular integral operators

Measure theory

Commutative algebra

Commutative algebra

Associative rings and algebras

Categorical and Homological algebra

Categories

Applied category theory

Homological algebra and its applications

Homotopical methods and their applications

Computer science

Higher dimensional algebra

Algebraic topology

Algebraic geometry

Algebraic singularities

Non-commutative algebra

Group theory

Ring theory

Finite group theory and representation theory of finite groups

Representation theory of algebras and groups

Matrix theory

Non-associative rings and algebras

Topological algebra

Analytic and set theoretic topology

Dynamical systems

Dynamical systems

Discrete and continuous dynamical system

Differential geometry and geometric mechanics

Differential geometry and applied differential geometry

Geometric mechanics

Complex geometry

Lie groups

Riemannian geometry (Inverse spectral problems, Geometry of Lie groups)

Discrete mathematics

Descriptive set theory

Combinatorial set theory

Boolean algebras

Cryptography

Coding theory