BRJSM

Boston Research Journal of Mathematics & Statistics

Journal Scope

Journal Scope

Pure Mathematics

Exploration of fundamental mathematical concepts and structures, including algebra, analysis, geometry, topology, and number theory, for intrinsic understanding.

  • Abstract Algebra (Group, Ring, and Field Theory)

  • Real and Complex Analysis

  • Differential Geometry

  • Algebraic Topology

  • Number Theory

  • Set Theory and Mathematical Logic

  • Functional Analysis

  • Category Theory

  • Measure Theory and Integration

  • Representation Theory

  • Algebraic Geometry

Probability Theory & Stochastic Processes

The study of randomness and uncertainty, encompassing the mathematical models for random events, variables, and dynamic systems evolving over time.

  • Classical and Axiomatic Probability Theory

  • Stochastic Differential Equations

  • Markov Chains and Markov Processes

  • Renewal Processes and Poisson Processes

  • Brownian Motion and Random Walks

  • Martingale Theory

  • Queuing Systems and Applications

  • Ergodic Theory and Stationary Processes

  • Branching Processes

  • Applications in Finance, Insurance, and Engineering

  • Random Fields and Spatial Processes

Discrete Mathematics & Combinatorics

Study of finite or countable mathematical structures such as graphs, networks, codes, and arrangements, with applications in computer science and operations research.

  • Graph Theory and Network Analysis

  • Enumerative and Algebraic Combinatorics

  • Combinatorial Designs and Configurations

  • Finite Geometry and Projective Spaces

  • Discrete Structures in Computer Science

  • Coding Theory and Error-Correcting Codes

  • Cryptography and Cryptographic Protocols

  • Lattice Theory and Boolean Algebras

  • Theory of Computation and Complexity

  • Permutation and Partition Theory

  • Applications in Algorithms and Software Systems

Applied Mathematics

Development and utilization of mathematical methods and models to solve problems in science, engineering, finance, industry, and other practical domains.

  • Mathematical Modeling in Physical and Life Sciences

  • Numerical Methods and Simulation Techniques

  • Optimization and Control Theory

  • Differential Equations (ODEs and PDEs)

  • Applied Linear Algebra

  • Computational Fluid Dynamics

  • Mathematical Physics

  • Mathematical Biology and Epidemiology

  • Financial Mathematics and Risk Analysis

  • Inverse Problems and Imaging

  • Industrial and Engineering Mathematics

Statistical Theory & Methodology

Foundations and techniques for data collection, analysis, interpretation, and inference, including experimental design, hypothesis testing, and model estimation.

  • Statistical Inference and Estimation Theory

  • Hypothesis Testing Procedures

  • Regression Analysis (Linear and Nonlinear)

  • Multivariate Statistical Analysis

  • Bayesian Statistics

  • Time Series Analysis and Forecasting

  • Experimental and Survey Design

  • Resampling Techniques (Bootstrap, Jackknife)

  • Nonparametric and Semiparametric Methods

  • Statistical Learning and Model Selection

  • Applications in Health, Social Sciences, and Engineering

Computational Mathematics & Data Science

Application of computational techniques to mathematical problems and the extraction of knowledge from data, including numerical analysis, optimization, and statistical learning.

  • Numerical Linear Algebra

  • Scientific Computing and High-Performance Algorithms

  • Computational Optimization

  • Numerical Solutions of Differential Equations

  • Data Assimilation and Uncertainty Quantification

  • Statistical and Machine Learning Algorithms

  • Big Data Analytics and Scalable Computing

  • Computational Statistics

  • Information Theory and Signal Processing

  • Deep Learning and Neural Networks

  • Visualization and Computational Geometry