- Have an MS/M.Phil. (Mathematics)/Equivalent degree in 1
^{st}Division or minimum CGPA 3.00 out of 4.00 - Have passed GRE Mathematics (International) with 60% marks or ISP admission test with 60% marks
- Have pass an interview conducted by the Department of Mathematics

Elective I | Elective II | Elective III |

Elective IV | Elective V | Elective VI |

Research Thesis |

Viscous Fluids I | Optimization Theory | Perturbation Method I |

Fixed Point Theory and Applications | Numerical Solutions of Ordinary Differential Equations | Topics in Ring Theory |

Numerical Linear Algebra | Approximation Theory and Application | Lattice Theory |

Variational Inequalities and Applications | Integral Inequalities | Numerical Solutions of Partial Differential Equations I |

Applied Statistical Learning | Newtonian Fluid Mechanics | Mathematical Finance I |

Physical Turbulent Flows | Time Series Analysis and Forecasting | Linear Statistical Models |

Advanced Topics in Graph Theory | Commutative Algebra I | Advanced Topology I |

Algebraic Topology | Mathematical Analysis | General Relativity |

Probability Models and Application | Numerical Optimization | Introductory Cryptography |

Fuzzy Set Theory | Finite Fields | Fuzzy Logic and its Applications |

Fuzzy Probability and Statistics | Parallel Solutions of Partial Differential Equations | Geometric Function Theory |

MHD and Porous Media | Advanced Modern Algebra with Applications | Theory of Groups |

Representation Theory of Finite Groups | Classical Theory of Fields | Simple Linear Regression Model |

Momentum and Thermal Boundary Layer Theory | Stochastic Processes | Differential Subordinations and Applications |

Convolutions in Geometric function Theory | Semigroup Theory | Further Algebraic Geometry |

Lattice Boltzmann Method | Financial Mathematics | Mathematical Techniques for Boundary Value Problems |

Heat and Mass Transfer | Relativistic Theory of Black Holes | Theory of Abel Grassmann’s Groupoids |

Symmetry Methods in Differential Equations | General Linear Model | Rings and Modules |

Continuum Mechanics | Numerical Simulation of Reactive Flows | BCI Algebra |

Direct and Inverse Problems in Wave Propagation | Topics in Mathematical Statistics | Commutative Algebra and Algebraic Geometry |

Rough Set Theory and Its Applications | Hilbert Space Methods | Fuzzy Graphs and Hypergraphs |

Topics in Numerical Analysis I | Topics in Measure Theory | Lie Groups |

Fractional Calculus | Advanced Partial Differential Equations | Elastodynamics |

Fluid and Thermodynamics | Magneto Hydrodynamics | Group Theoretical Methods |

Fractional Differential Equations | Fuzzy Group Theory | Multivariate Analysis in Mathematics |

Advanced Algebra | Advanced Topology II | Non-Newtonian Fluid Mechanics |

Advanced Mathematical Analysis | Advanced Linear Algebra | Advanced Integral Equations |

Advanced Graph Theory | Advanced Analytic Dynamics | Advanced Convex Analysis |

Theory of Differential Equations | BCK Algebra Theory | Advanced Numerical Analysis |

Theory of Spline Functions | Research Methodology | Viscous Fluid II |

Representation Theory | Advanced Measure Theory | Advanced Functional Analysis |

Complex Analysis of Several Variables | Spectral Methods in Fluid Dynamics | Mathematical Finance II |

Fuzzy Analysis | Spectral and Fractional Graph Theory | Advanced Topics in Graph Valuation Theory |

Complexity Theory | Turbulence Modeling | Computer Aided Geometric Design |

Advanced Differential Equations | Commutative Algebra II | Perturbation Methods II |

Boundary Layer Flows | Homological Algebra | Field Extension and Galois Theory |

Numerical Solutions of Partial Differential Equations II | General Relativity | Multiple Linear Regression Models |

Theory of Abel Grassmann’s Groupoid | Topics in Numerical Analysis II | Logical Reasoning and Research Methods |

Topological Algebras | Near Rings-I | Advanced Ring Theory |