American Research Journal of Mathematics is an international, peer-reviewed, open access online journal. Mathematics research includes two categories - Pure Mathematics and Applied Mathematics.

This journal publishes research work on topics like Geometry, Fluid mechanics, Number Theory, Matrix theory, Optimization, Quantum theory, Statistics. The journal welcomes and publishes on all aspects of both pure and applied mathematics related articles in the form of original articles, review articles, case reports, short reviews, short notes etc.

Given below are some of the key (but not limited) topics of this journal.

• Algebra & Algebraic Geometry
• Algebraic geometry
• Algebraic Topology
• Analysis & PDEs
• Applied Mathematics
• Calculus of variations and optimal control
• Combinatorics
• Computational Biology
• Computational Science & Numerical Analysis
• Computer science
• Difference and functional equations
• Differential geometry
• Dynamical systems and ergodic theory
• Fluid mechanics
• Fourier analysis
• Functional analysis
• Functions of a complex variable
• General topology
• Geometry
• Global analysis, analysis on manifolds
• Integral equations
• Linear and multilinear algebra
• Manifolds and cell complexes
• Mathematical Logic & Foundations
• Matrix theory
• Measure and integration
• Mechanics of deformable solids
• Mechanics of particles and systems
• Number Theory
• Numerical analysis
• Operations research, mathematical programming
• Operator theory
• Optics, electromagnetic theory
• Optimization
• Ordinary differential equations
• Partial differential equations
• Physical Applied Mathematics
• Probability & Statistics
• Probability theory and stochastic processes
• Pure Mathematics
• Quantum theory
• Real functions
• Representation Theory
• Several complex variables and analytic spaces
• Statistical mechanics
• Statistics
• Theoretical Computer Science
• Theoretical Physics