Mathematics (MAT)
Section Information
Mathematics focuses on the study of structure, patterns, quantity, space, and change through rigorous logical reasoning. It provides foundational tools for science, engineering, technology, economics, data analysis, and many other fields. Research in mathematics ranges from pure theoretical work to applied and computational developments.
Modern mathematical research spans algebra, analysis, geometry, number theory, topology, combinatorics, probability, mathematical logic, and computational mathematics. Advances in algorithmic methods, modeling, abstraction, and interdisciplinary applications continue to expand the reach and impact of mathematics.
This section publishes theoretical research, proofs, mathematical models, computational studies, reviews, and case analyses addressing fundamental concepts, new methods, and cross-disciplinary applications of mathematical ideas.
Scope
- Algebra and Number Theory
- Group theory, ring theory, field theory, and representation theory
- Algebraic structures, symmetries, and combinatorial algebra
- Analytic and algebraic number theory
- Applications in cryptography, coding theory, and discrete mathematics
- Analysis
- Real and complex analysis, functional analysis, and harmonic analysis
- Measure theory, integration, and operator theory
- Approximation theory and special functions
- Applications in PDEs, physics, and applied sciences
- Geometry and Topology
- Differential geometry, Riemannian geometry, and global analysis
- Algebraic topology, homology, and cohomology theories
- Geometric structures, manifolds, and curvature
- Applications in physics, robotics, and data analysis
- Differential Equations and Dynamical Systems
- Ordinary and partial differential equations
- Dynamical systems, stability, and chaos theory
- Reaction–diffusion systems and mathematical modeling
- Analytical, qualitative, and numerical methods
- Probability, Statistics, and Stochastic Processes
- Probability theory, random variables, and distributions
- Statistical inference, regression, and multivariate analysis
- Stochastic modeling, Markov processes, and random walks
- Applications in finance, engineering, and data science
- Combinatorics and Discrete Mathematics
- Graph theory, enumeration, and extremal combinatorics
- Combinatorial designs, discrete structures, and algorithms
- Optimization, scheduling, and network theory
- Applications in computer science and information theory
- Mathematical Logic and Foundations
- Set theory, model theory, and proof theory
- Computability, recursion, and formal systems
- Foundational aspects of mathematics and philosophical implications
- Applications to theoretical computer science
- Computational and Applied Mathematics
- Numerical methods, approximation algorithms, and simulation
- High-performance and scientific computing
- Mathematical modeling across sciences and engineering
- Data-driven methods, AI, and machine learning applications
Editorial Board
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Topical Advisory Panel
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Papers Published
Click here to see a list of 2 papers published in this section.