** Department of Mathematics **

Department of Mathematics offers two programmes: Dual Degree Programme B.Sc. & M.Sc. Data Science (with exit option B.Sc Data Science) and M.Sc. Data Science. The department further offers, more than 20 different courses for UG and PG programmes from other Schools. Courses in Mathematics are taught by incorporating technology into classroom teaching using a right blend of traditional teaching tools and computer algebra systems (CAS) such as MATLAB and R Programming. Use of MATLAB in teaching-learning process establishes Student-centric learning environment where the students are taught Mathematics through experimentation, visualisation and discovery. Further, the department specializes in the following research areas:

Nonlinear Dynamical System, Modelling of Memory Devices, Integral Transform, Operator Theory, Hydrodynamics Stability, Thermal Convection, Elasto Hydrodynamic, Algebraic Coding Theory, Cryptography, Fractal, MHD Boundary Layers, Perturbation Methods, Stochastic Differential Equation, Approximation Using Linear Positive Operators, Fluid Dynamics, Nonlinear Mathematical Programming Problem, Solute Transport Modelling, Graph B-Coloring, Cosmology and more.

**Faculty**

**Dr. S. SRINIVAS Dean of the School**

**Specialization Areas:**Differential Equations, Newtonian and non-Newtonian fluids, Heat Mass transfer

**Dr. VEMULA RAMAKRISHNA REDDYHead of the Department**

**Specialization Areas:**Hydrodynamics, Shear Instability/Stability, Free Surface Flows, Vortex Dynamics

**Dr. SATYANARAYANA BADETI**

**Specialization Areas:** Rotating Fluids, Geo Physical Fluid Dynamics, Boundary Layers

**Dr.SUDHAKAR MATLE**

**Specialization Areas:** Stochastics for Ocean currents, Fluid dynamics, Numerics of PDE;finite element, finite point set, finite difference and finite volume methods

**Dr. Meduri Phani Kumar**

**Specialization Areas:** Fluid Mechanics, Micropolar, Couple Stress Fluids, CFD

Dr. SANTANU MANDAL

**Specialization Areas:** Nonlinear Dynamical Systems, Chaotic Dynamics, Delay Differential Equations, Electronic Synapses and Neurons, Image Encryption and Image Classifications, Machine Learning Techniques

**Dr. VENKATRAJAM MARKA**

**Specialization Areas:** Algebraic Coding Theory, Code-based cryptography, Codes with other Discrete Structures, Applicable Algebra.

**Dr. MANOJ KUMAR MISHRA**

**Specialization Areas:** Magnetohydrodynamics, Boundary layer flow, Heat and Mass Transfer

**Dr. KOMANDLA MAHIPAL REDDY**

**Specialization Areas:** Shape Preserving Fractal Interpolation, Geometric Modelling

**Dr. R SINUVASAN**

**Specialization Areas:** Symmetries, Painleve Analysis, Integrability, Lie Algebras, Similarity Transformations

**Dr. SHALINI**

**Specialization Areas:** Nonlinear Optimization Problems, Multiobjective mathematical programming, Optimality, Duality

**Dr. TANUJ KUMAR**

**Specialization Areas:** Operator Theory, Integral Transforms, Function spaces

**Dr. LISNA PC**

**Specialization Areas:**Graph theory, b-coloring, Achromatic Coloring, Injective Coloring, Applications of b-coloring in network analysis

**Dr. CHANDAN KUMAR THAKUR**

**Specialization Areas:** Groundwater Science, Contaminant Hydrology, Porous Media Flow and Transport

**Dr. ANIL NEGI**

**Specialization Areas:** Geomechanics, Elastodynamics, Piezoelectricity, Fracture Propagation , Solid Mechanics

**Dr. PEEYUSH SINGH**

**Specialization Areas:** Numerical Solution of Elastohydrodynamic Lubrication (EHL) theory, modelling and there application in Tribology Engineering, computer Vision, Parallel Computing, Numerical solution of Variational Inequality problems and their applications, Discontinuous Galerkin Finite Element method (DG-FEM), DG-FVM, Spectral Element Method and their error analysis

**Dr. PRATIK PREMADARSHI RAY**

**Specialization Areas:** Cosmology: Modified theories of Gravity, Theoretical Dark Energy, Tensor Calculus, Differential equation

**Dr. YADA NANDUKUMAR**

**Specialization Areas:** Fluid Dynamics, Rotating Magnetohydrodynamics, Thermodynamics, Computational Fluid Dynamics, Nonlinear Dynamics

**Dr. PRASHANTH MAROJU**

**Specialization Areas:** Numerical Analysis, Differential equations, Numerical Functional Analysis, Partial Differential equations, Computational Mathematics

**Dr. MANISHA MAITY**

**Specialization Areas:** Theoretical Seismology, Elastodynamics, Wave Propogation, Continuum Mechanics, Geomechanics

**Dr. NADIMINTI NAGAMANI**

**Specialization Areas:**Estimation Theory, Regression Analysis, Decision Theory, Testing of Hypothesis, Probability and Statistics

**Dr. SHAH PARTH MUKESHBHAI**

**Specialization Areas:** Dynamical Systems, Cosmology, General Relativity, Modified Gravity Theories, Dark Energy and Dark Matter

**Dr. V. RAJA**

**Specialization Areas:** Graph Theory, Algebraic Graph Theory, Tree-like Graphs, Discrete Structures, Design Theory

**Dr. ASWATHY R K**

**Specialization Areas:** Fractal theory, Fixed point theory, Dynamical systems, IteratedÂ Function Systems, Self-similar sets

**Dr. RANJAN KUMAR **

**Specialization Areas:** Fuzzy optimization, Operational Research, Linear Programming Problem, Fuzzy Linear Programming Problem, shortest path problem, numerical analysis

**Dr. SUKANTA NAYAK **

**Specialization Areas:** Numerical Analysis, Uncertainty Analysis, Differential Equations, Interval and Fuzzy Set Theory, Optimization Techniques

**Dr. Ravi Kumar Davala**

**Specialization Areas:** Elementary Number Theory, Algebraic Number Theory, Analytic Number Theory

**Dr. N. Rajasekhar**

**Specialization Areas:** WEB-Spline based mesh free method, Finite element method, Partial differential equations, Fractional order partial differential equations.

**Dr. Avadhesh Kumar**

**Specialization Areas:** Fractional, Delay, Impulsive and Neutral Differential Equations, Controllability of Differential Equations, Natural Language Processing, Stability Theory, Machine Learning

**Dr. Francis**

**Specialization Areas:** b-coloring, Indicated coloring, Domination, Free graphs, Labelling

**Dr. Kamalesh Kumar**

**Specialization Areas:** Numerical Analysis, Ordinary and partial differential equations,Â Numerical Treatment of Singular Perturbation Problems and Singularly Perturbed Differential-Difference equations

**Dr. Archana Tiwari**

**Specialization Areas:** Mathematical Control Theory, Optimal Control Theory, Dynamical Systems, Mathematical Modelling andÂ Stability Analysis

**Dr. Varunkumar Merugu**

**Specialization Areas:** Biomechanics, CFD, Mathematical Modelling, Mass Transfer, Porous Media, Newtonian/Non-Newtonian Fluids

**Dr. Parbati Sahoo**

**Specialization Areas:** Applied Mathematics,Â Mathematical Physics,Â Cosmology, Modified gravity theories, Dark energy, Theoretical Astrophysics,Stellar Structure.

**Dr. Perumandla Karunakar**

**Specialization Areas:** DifferentialÂ Equations with Interval/Fuzzy Parameters,Shallow water wave equations with uncertain parameters, Interval/Fuzzy linear system of equations,Fractional order differential equations,Numerical and semi-analytical techniques

** Dr. Arun Kumar Yadav**

**Specialization Areas:** Orbital mechanics, Control of spacecraft trajectory, Dynamical systems

** Dr. Soumen Kundu**

**Specialization Areas:** Mathematical Biology, Nonlinear Dynamics, Dynamical Systems, Disease Dynamics, Delay Differential Equation, Stochastic Analysis

** Dr. Faizan Danish**

**Specialization Areas:** Sampling Theory, Mathematical Programming, Biostatistics, Statistical Modeling, and Applied Statistics.

** Dr. Vasili. B V Nagarjuna**

**Specialization Areas:** Distribution Theory, Statistical Quality Control, Statistical Inference, Operations Research and Biostatistics.

** Dr. Ramesh Arumugam**

**Specialization Areas:** Mathematical Biology, Theoretical Ecology, Nonlinear dynamics, Network Theory, Critical Transitions in complex systems

** Dr. Manimaran Aridoss**

**Specialization Areas:** Network Security, Cloud Computing,Data Science,Machine Learning,Deep Learning

** Dr. Panduranga K**

**Specialization Areas:** Coastal hydrodynamics, Hydroelasticity, Boundary Element Analysis, Integral Equations, Applied Mathematics

**Dr. Aastha Madonna Sathe**

**Specialization Areas:** Computational Statistics, Stable Distributions, Time Series Analysis, Forecasting, Artificial Neural Networks

** Dr. Vivek Kumar Srivastav**

**Specialization Areas:** Numerical Methods, Applied Computational Methods, Computational Fluid Dynamics, Bio-Fluid Dynamics, Human Respiratory Tract and hearts.

** Dr. Swati Mishra**

**Specialization Areas:** Mathematical Ecology;Â Pattern Formation;Â Fear Effect;Â Delay Differential Equations; NonlinearÂ Dynamics.

**Dr. Santanu Nandi**

**Specialization Areas:** Dynamical Systems, Complex Analysis, Holomorphic Dynamics, Fractal Theory, Topology

**Dr. Ramesh Prasad Panda**

**Specialization Areas:** Algebraic Combinatorics, Algebraic Graph Theory, Spectral Graph Theory, Discrete Mathematics, Group Theory

**Dr.Sanjeev Kumar Sharma**

**Specialization Areas:** Nonlinear Dynamics, Mathematical Neuroscience, Pattern Formation, Fractional Differentiation, Synchronization.

**Dr. Shobhit Kumar Srivastava**

**Specialization Areas:** Gas Dynamics, Partial Differential Equations, System of conservation laws, The Riemann Problem.

**Dr. Gokulnath M**

**Specialization Areas:** Coloring and its variations, Power Domination, Combinatorics, Product of graphs, Mycielskian

**Dr. Ritu Dhankhar**

**Specialization Areas:** Geometric Function Theory, Complex Analysis, Approximation Theory, Inequalities for Complex Polynomials, Zeros of Complex Polynomials

**Dr. Abhishekh**

**Specialization Areas:** Fuzzy optimization, Time series forecasting, Intuitionistic fuzzy sets, Soft computing techniques, Moving average forecasting model.

**Mr. G. Siva**

**Specialization Areas:**Biostatistics, Classification Problems â€“ ROC Analysis, Sampling Theory, Distribution Theory, Multivariate Data Analysis

**Dr. Vanacharla Pujitha**

**Specialization Areas:** Mathematical Modelling, Lubrication, Biomechanics, CFD

**Dr.Pradip.R.Patle**

**Specialization Areas:** Fixed Point Theory, Nonlinear Analysis, Fractional differential equations, Fuzzy Fixed Point theory, Differential and integral equations

**Dr. Sharma Priya R**

**Specialization Areas:** Wavelets, Convergence Of Wavelet Expansions, Approximation Theory, Error Estimation, Ordinary And Partial Differential Equations

**Dr. Alka Munjal**

**Specialization Areas:** Summability Theory, Approximation Theory, Real Analysis, Functional Analysis, Reliability Analysis.

**Dr.Prashant Patel**

**Specialization Areas:** Nonlinear Analysis, Functional Analysis, Fixed Point Theory, Spectral Theory, And Pure Mathematics.

**Dr. Sonali Kaushik**

**Specialization Areas:** Infinite system of Ordinary Differential Equations, Integro-Partial Differential Equations, Coagulation-Fragmentation Models: Existence and Uniqueness, Numerical Analysis, Steady-State Analysis, Semi-Analytical Approximations, Theoretical Convergence.

**Dr. Chiranjeev Kumar Shahu**

**Specialization Areas:** Differential Equations; Stability & Controllability; Mathematical physics; Magnetization dynamics; Domain wall motion in multilayers & network nanostructures; Spintronics

**Dr. Nimai Sarkar**

**Specialization Areas:** QualitativeÂ study on Integral and Integro differential equations, fixed point theory, numerical analysis, dynamical equations on time scale calculus and functional analysis.

**Dr. Bushra Khatoon**

**Specialization Areas:** Statistical Inference, Ordered Random Variables, Reliability Estimation, Data Analysis, Applied Statistics

**Dr. Ravi Kumar Bandaru**

**Specialization Areas:** Distributive Lattices, BCK-algebras, GE-algebras, Other algebraic Structures.

**Dr. Anshul Gopal**

**Specialization Areas:** Nature Inspired Optimization Algorithms, Metaheuristic Algorithms, Swarm Intelligence , Stability Analysis of Algorithms, Convergence Analysis of Algorithms

**Dr.Dibyendu Sekhar Mandal**

**Specialization Areas:** Mathematical Biology, Ecological and Epidemiological Modeling, Population Biology, Integrated Pest Management , Evolutionary Biology

**Dr. Prakash S**

**Specialization Areas:** Hydrodynamic Stability, Stability Analysis of Swirling Flows, Hydromagnetic Stability Analysis of Compressible Annular Flows, Non-Linear Critical Layer Analysis, Stability Analysis of Viscous Flows.

**Dr. Kottu Durga Prasad**

**Specialization Areas:** Differential Equation, Dynamical Systems,Â Mathematical Biology, Biological Control, Biological Conservation

**Dr. Habiba Khatun**

**Specialization Areas:** Hypothesis testing, Estimation, Decision theoretic approach, Computational statistics, Bayesian inference