Research Areas of our faculty members include: Theoretical and numerical analysis of ODEs & PDEs, Mathematical modelling, Fluid dynamics, Non-equilibrium thermodynamics, Continuum mechanics,  Applied Probability Theory, Queueing theory, Stochastic processes, Statistical inference, Fuzzy theory, Algebra, Algebraic geometry, Number theory, Cosmology,  Graph theory, Computational design, Neural networks, Fractional calculus, Geometric function theory.

• Algebra : Commutative Rings, Non-commutative Rings, Groups and their Representations, Field Theory, Module Theory, Homological Algebra, Number Theory and Algebraic Geometry.
• Analysis : Real Analysis, Complex Analysis, Functional Analysis, Nonlinear analysis, Differential Geometry.    
• Differential Equations and Applications : Ordinary & Partial Differential Equations, Mathematical Biology, Mathematical Modeling, Fluid Dynamics, Applied Functional Analysis, Image Processing, Dynamical Systems, Control Theory.
• Discrete Mathematics : Boolean and Fuzzy Logic, Graph Theory, Combinatorial Mathematics, Cryptography, Discrete Mathematical Structures, Design and Analysis of Algorithms, Lattice Theory, Coding Theory.
• Applied Statistics : Statistical Inference, Regression Analysis, Statistical Quality Control, Demography, Design of experiments & analysis of variance, Financial Mathematics, Stochastic Processes.
• Operations Research : Queuing Theory, Inventory Systems, Reliability Theory, Data Envelopment Analysis, Linear and Nonlinear Programming.
• Numerical Methods and Applications : Numerical methods for Ordinary, Partial and integro-differential equations and applications to fluid dynamics and Fracture Mechanics.
• Cosmology and Relativity : General Theory of Relativity, Alternative Theory of Relativity, Tensor Calculus.