BRJSM
-
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
-
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
-
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
-
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 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
-
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