Areas of Research
@Department of Mathematics
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.
The following section gives an insight about the research interests from our faculty;
Groundwater Hydrology :-
Ground-water hydrology is the subdivision of the science of hydrology that deals with the occurrence, movement, and quality of water beneath the Earth’s surface. It is interdisciplinary in scope in that it involves the application of the physical, biological, and mathematical sciences. Groundwater hydrology as it relates to contamination; experimental and computational investigations of contaminant sorption, diffusion, biological and chemical transformation, volatilization and transport in the subsurface region. Also, development of mathematical models of contaminant behavior. Because ground-water hydrology deals with the occurrence and movement of water in an almost infinitely complex subsurface skeleton, it is, in its most advanced state, one of the most complex of the sciences.
Faculty working in this area:-
Dr. Chandan Kumar Thakur
Control Theory :-
Control theory is a field of applied mathematics which is relevant to the control of dynamical systems in various physical processes, systems and machines. The objective is to develop a model or algorithm governing the application of system inputs to drive the system to a desired state, ensuring a level of control stability; often with the aim to achieve a degree of optimality. Control theory has deep connections with classical areas of mathematics, such as the calculus of variations and the theory of differential equations.
Faculty working in this area:-
Dr. Santanu Mandal, Dr. Archana Tiwari
Approximation Theory :-
Approximation Theory is an application and a sister branch of Functional Analysis. It addresses the question, Can we approximate a complexly structured function with a simpler known one? The answer is affirmative (with some restrictions!), and it is in the form of the Weierstrass approximation theorem. The German mathematician Karl Weierstrass stated and proved: Any continuous function on a compact support can be approximated with a polynomial of some suitable degree (you found the restrictions? Yes, continuity and compact domain are the requirements!). With this beautiful result, a new door opens in the area of mathematical analysis what we today know as Approximation Theory. To learn more about the history, people in approximation theory, and earlier contributions, we highly recommend visiting the webpage History of Approximation Theory https://hat.net.technion.ac.il/. Some recent applications of approximation theory can be found in modeling of road traffic noise, image processing, neural network, and fuzzy mathematics.
Faculty working in this area:-
Dr. Rahul Shukla
Orbital Mechanics :-
Orbital mechanics (also called astrodynamics) is the study of the motions of artificial satellites and space vehicles moving under the influence of forces such as gravity, atmospheric drag, thrust, etc. Orbital mechanics is a modern offshoot of celestial mechanics which is the study of the motions of natural celestial bodies such as the moon and planets. It is the application of the laws of physics to describing the motion of spacecraft and is needed to determine spacecraft trajectories and manoeuvres.
Faculty working in this area:-
Dr. Arun Kumar Yadav
Fluid Dynamics :-
Research in fluid mechanics spans the spectrum of applied mathematics, and graduate students in this field develop skills in a broad range of areas, including mathematical modelling, analysis, computational mathematics, as well as physical intuition. These skills are interconnected, and hence form a marketable whole for the individuals, because the development of appropriate numerical methods and the set-up and interpretation of numerical simulations hinges on the use of theoretical models of varying complexity, as well as judicious application of the scientific method. Within the field of fluid dynamics there are many exciting problems, from theoretical problems such as the Clay Institute Millennium Prize for proving existence, uniqueness and regularity for the Navier-Stokes equations to applications in the areas of atmosphere, ocean and climate dynamics, astrophysical problems such as stellar wind dynamics, and the dynamics of shock waves. Research projects range from the development of simple models used to understand aspects of complicated physical processes, to the use of advanced theoretical and numerical methods.
Faculty working in this area:-
Prof. S. Srinivas, Dr. Meduri Phani Kumar, Dr. Satyanarayana Badeti, Dr. Nikunja Bihari Barik, Dr. M. Sudhakar, Dr. M. K. Mishra, Dr. Vemula Ramakrishna Reddy, Dr. Kiran Kumar Patra and Dr. Yada Nandu Kumar.
Algebra:-
Department of Mathematics is actively engaged in the various fields of Algebra.
Faculty working in this area:-
Dr. Venkatrajam Marka and Dr. Ankur
Nonlinear Dynamical Systems, Chaos, Neural Networks, Neuromorphic Computing:-
The applications of Nonlinear Dynamical Systems are highly diverse ranging over such fields as Electrical, Electronics and Computer Engineering. Dynamical Systems theory describes general patterns found in the solution of systems of nonlinear equations. Using this theory extensive research is going on in the field of neuromorphic computing, neural networks, memory devices etc.
Faculty working in this area:-
Dr. Santanu Mandal, Dr. Archana Tiwari, Dr. Rohit Kumar, Dr Soumen Kundu
Numerical Analysis:-
The area of numerical analysis is also known as numerical computation, numerical methods, numerical mathematics, computational mathematics, scientific computing or mathematical software, depending on which aspect of this broad subject is being emphasized. One can argue that the reason computers were invented was to perform numerical computations, and scientific computing continues to be one of the main driving forces in the development of advanced computing architectures. Several of the “Grand Challenges” in science are closely associated with numerical problems. The broad long-term goal of numerical analysts is to develop good software for the solution of problems of a mathematical nature that arise in science, engineering and business. Some faculties focus on standard problems to cover a wide range of activities in numerical computing, with particular emphasis on the development, analysis, testing and evaluation of numerical algorithms and the construction of efficient, robust and reliable mathematical software.
Faculty working in this area:-
Dr. Satyanarayana Badeti, Dr. Nikunja Bihari Barik Dr. Komandla Mahipal Reddy, Dr. Prashanth Maroju, Dr. Sukanta Nayak, Dr. Kamalesh Kumar
Theory of Relativity and Cosmology:-
Research interests include cosmological tests of general relativity; constraints on the cosmological parameters using observational data; nature of dark energy and the accelerating Universe; the physics of inflation and the evolution of matter perturbations; statistical and geometrical measures for quantifying large-scale structures. The faculties devote particular focus to the reconstruction technique, which allows the realization of any desired expansionary history of the universe by an accurate choice of potential or other functions defined within the theory. Our review provides a self-contained summary of recent findings, progress, open questions, and outlooks on future research directions.
Faculty working in this area:-
Dr. Pratik Premadarsi Ray, Dr. Shah Parth Mukeshbhai
Integral Transforms:-
Integral Transforms are valuable for the simplification that they bring about, most often in dealing with differential equations subject to particular boundary conditions. Proper choice of the class of transformation usually makes it possible to convert not only the derivatives in an intractable differential equation but also the boundary values into terms of an algebraic equation that can be easily solved.
Faculty working in this area:-
Dr. Tanuj Kumar
Graph Theory:-
In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. In early nineteenth century graph theory was used to solve puzzles. But now graph theory is applicable in all domains like combinatorics, Chemistry, Economics, Finance and all engineering branches. Colouring, Domination and labelling are some parameter based branches of graph theory. Structural graph theory, Algebraic graph theory, Chemical graph theory, Extremal graph theory and Random graphs are some of the other branches in graph theory.
Faculty working in this area:-
Dr. Lisna PC, Dr. V. Raja and Dr. Francis P.
Fractal Interpolation:-
Fractals are irregular, no-where smooth, complex and unpredictable shapes and structures such as climate prediction modals, cancerous tumours, financial and economical series, bio electrical recordings, etc . As the name suggests, fractal interpolation techniques are keys to modal such intrinsic structures, without having to ignore the significant yet minute details they possess. The classical interpolation methods are nonrecursive functions that are non-differentiable at finite number of data points. If data points are generated from more irregular or complex functions, then the classical interpolants are not good approximations for such data. Fractal Interpolation Functions (FIF) defined via suitable Iterated Function Systems (IFS) possess the novelty of providing one of the very few methods that produce non-differentiable interpolants.
Faculty working in this area:-
Dr. Komandla Mahipal Reddy and Dr. Aswathy R K
Optimization Theory:-
Optimization is the backbone of every system that involves decision making and optimal strategies. It plays an important role and influences our life directly or indirectly which cannot be avoided or neglected. Optimization is a key concept not only in mathematics, computer science, and operations research, and but also it is essential to the modeling of any system, playing an integral role in the computer-aided design. In recent years, optimization techniques become a considerable part of each system and applicable in a wide spectrum of industries, viz., aerospace, chemical, electrical, electronics, mining, mechanical, information technology, finance, and e-commerce sectors. Therefore, the very need is to easy understanding of the problem and implementation of optimization techniques with advanced computer-added design activity.
Faculty working in this area:-
Dr. Mahipal Reddy, Dr. Shalini, Dr. Sukanta Nayak, Dr. Ranjan Kumar
Solid Mechanics :-
It covers most areas of Applied Mathematics in the theory of classical and non-classical solid mechanics and the purpose is to reflect the latest developments in these fields, including theoretical, numerical/computational, and experimental aspects. Few more topics of interest for research include but are not limited to the boundary value problems, the study of mixed problems for generalized continua and recent developments in the field of mathematical modeling for fracture mechanics problems.
Faculty working in this area:-
Dr. Anil Negi, Dr. Manisha Maity
Statistics:-
Faculty working in this area:-
Dr. Nadiminti Nagamani
Fuzzy Computation:-
Fuzzy set theory was introduced by the late Lotfi Aliasker Zadeh in 1975. Since then, this theory has grabbed the excessive attention of researchers. It deals with uncertain data where the indeterminacy is quantified explicitly. Fuzzy computation deals with the propagation of fuzzy variables in the system. As such, fuzzy numerical techniques are tools to quantify the fuzziness. The idea of numerical methods is to convert fuzzy governing differential equations to fuzzy algebraic equations to study the fuzziness of the system.
Keywords: Interval and Fuzzy Finite Element Method, Interval and Fuzzy Differential Equations, Interval and Fuzzy Diffusion Equation, Hybrid Methods etc.
Reference Books:-
Faculty working in this area:-
Dr. Sukanta Nayak
Neutrosophic Theory :-
Neutrosophic set (NS) theory is proposed by F. Smarandache, and this is generalized from the fuzzy set and intuitionistic fuzzy set. NS deals with uncertain, indeterminate, and incongruous data where the indeterminacy is quantified explicitly. This theory overcomes some limitations of the existing fuzzy theory in depicting uncertain decision information.
Faculty working in this area:-
Dr. Ranjan Kumar
@Department of Physics
Department of Physics offers an M.Sc. programme with specialization in frontline areas of modern day technology. Further, the department provides more than 10 different courses for UG and PG programmes from other Schools. The passion for basic and engineering sciences that stem from Physics are favoured by the students. The students devote practical hours at the labs sedimenting their basics in physics, and upgrading their knowhow on latest technologies.
The department is actively engaged in research in the following fields: Nanomaterials, Transparent Conducting Materials for Optoelectronic Applications, Photovoltaics, Sensors, Composite Materials, Coatings, Condensed Matter and Biological Physics.
Condensed Matter Physics, Electronic Devices & Nanomaterials – Energy Storage:-
The areas of interest in the department cover a large scope of experimental materials science and application, ranging from nanomaterials, magnetism, thin film physics, photovoltaics to energy storage devices. Theoretical research is focused on phase transitions of matter at low temperatures, and the physics of defects.
Faculty working in this area:-
Dr. K. Senthil
Biophysics:-
The focus area of research is to understand the underlying physical phenomena leading to the self-organization of various biological processes in the cellular cytoskeleton. Of particular interest is the investigation of the role of cellular protein entities like molecular motors and biofilaments in force generation, transport, and cell division. We apply concepts and tools of non-equilibrium statistical mechanics, stochastic methods, and computation to study these aspects.
Faculty working in this area:-
Dr. Debajit Goswami
Electronic Devices and Nanomaterials:-
i) Photovoltaics:-
Our main focus is on improving the efficiency and life time of flexible photovoltaic devices based on low cost organic and perovskite materials. Apart from synthesis and characterization of materials for photovoltaic applications, we work on efficient light management in photovoltaic devices by adopting various device architectures and plasmonic structures. Further, our researchers are actively involved in the heterogeneous metal oxide nanostructures for photovoltaic applications, synthesis and characterization of various transparent conducting materials for optoelectronic applications.
Faculty working in this area:-
Dr. Anita Ethiraj, Dr. Sudagar Jothi, Dr. Manmadha Rao Banki, Dr. Lakshmi Sowjanya Pali
ii) Ferromagnetic Materials for Memory Applications:-
Spintronics is one of the emerging fields for the next-generation memory devices. We focus on the synthesis and characterization of ferromagnetic materials and thin films for spintronic applications. Furthermore, we study the variation of structural, optical and magnetic properties of ferromagnetic materials with the addition of dopants and vacancies.
Faculty working in this area:-
Dr. Madhusudhan Rao
iii) Energy Storage:-
Another major research area includes energy storage applications. Our main emphasis is on the synthesis of polymer composites and Graphene quantum dots based materials for gas sensing, bio-imaging and energy storage applications.
Faculty working in this area:-
Dr. Khadeer Pasha, Dr. Lakshmi Sowjanya Pali
iv) Photocatalytic Materials:-
The research focuses on the development of novel semiconductor-based nanocomposites as photocatalytic materials for more efficient utilization of solar energy for the degradation of organic dyes, anti-bacterial disinfection, and CO2 reduction. The main focus is to synthesize semiconductor metal oxides and their nanocomposites for various catalytic applications.
Faculty working in this area:-
Dr. K. Senthil
Optical Communications:-
Our broad area of interest is in Fiber and Integrated optics. Our active area of research involves Supercontinuum generation in waveguides, Design and development of slot optical waveguides, studying the Dispersion properties of optical fibers and rectangular waveguides, and Dispersion compensation analysis in Optical fibers, Photonic crystal fibers, Rectangular waveguides.
Faculty working in this area:-
Dr. Ashok Nandam
@Department of Chemistry
Department of Chemistry offers an M.Sc. programme, along with offering 7 courses for the UG and PG programmes from other Schools. The environmental chemistry laboratory is planned to have advanced analytical instruments and laboratory process equipment for project-based hands-on training to the students in fresh water and effluent water analysis, soil testing methods, air pollution studies, etc. This exposure from doing live experiments would enhance the students’ understanding about environmental studies.
The department engages in research in the fields of Materials & Nano Science, Homogeneous Catalysis, Supramolecular Inorganic Chemistry, Spectroscopy, Coordination Chemistry, Molecular Machines, Organic synthesis, among many other areas.
Industrial Chemical Technology:-
Powder Technology: Mechanochemical processes and bulk solids flow characteristics in ultrafine grinding of brittle materials with chemical additives.
Petrochemicals, Biofuels and Bio-refinery: Pyrolysis, transesterification and reactive distillation processes for recovering valuable chemicals from spent cooking oils and polymeric waste materials. Biofuels production from food and agricultural waste materials. Bio-refinery studies for biomass conversion processes to produce fuels, chemicals, and energy.
Faculty working in this area:-
Dr. R. Paramasivam, Dr. Selvakumar K, Dr. Rajesh Chalasani, Dr. Sabeel M Basheer
Environmental Chemistry:-
Gas sensors: Materials development for sensing gases like hydrogen, hydrogen sulphide, carbon monoxide, carbon dioxide etc.
Metal ion sensors: Detection of trace level metal ions in effluent liquids using optical and electrochemical sensing methods.
Environmental Remedies: Removal of heavy metal ions, organic dyes, organo-pesticides, pharma-chemicals from domestic and industrial effluents. Photochemical degradation of organic dyes in polluted waters.
Faculty working in this area:-
Dr. Selvakumar K, Dr. Rajesh Chalasani, Dr. R. Paramasivam, Dr. Tufan Ghosh
Catalysis and Energy:-
Catalysis for Energy: Discovering efficient catalysts for energy-intensive processes is one such area. The primary focus of this research is to develop new synthetic methodologies in preparing transition metal complexes and investigating their reactivity in organic transformations, especially in small molecules activation and functionalization.
Current research projects towards this direction include
- ✦ 1) Formic acid decomposition using nickel and palladium complexes
- ✦ 2) Catalytic hydrogenation and reduction of CO2 under homogeneous condition.
Biomimetic and Heterogeneous Catalysis: This research encompasses synthesis and characterization of organometallic and coordination complexes for biomimetic and heterogeneous catalysis. Transformation of coordination complexes into long range ordered structures lead to the emergence of solid-state properties such as electrical conductivities and catalysis that can surpass the molecular systems. This strategy is used to prepare materials for; 1) Electrocatalytic water splitting, 2) Electrocatalytic reduction of CO2, and N2 to afford value-added products, 3) Photocatalytic reduction of CO2, and H+. In addition, we study the Lewis acid catalytic properties of sterically confined heavy chalcogens and pnictogens.
Faculty working in this area:-
Dr. Anubendu Adhikary, Dr. Selvakumar K
Material and Nanoscience:-
Graphene and Lead Halide Perovskites: This research is focused on various aspects such as: (a) Graphene-based materials for water treatment, (b) exploring the optoelectronic properties of graphene quantum dots, etc. Graphene/graphene oxide-based composite materials are prepared in the lab and are used for the removal of toxic dyes and heavy metal ions from wastewater. In addition, optoelectronic properties of graphene quantum dots are investigated using steady-state and time-resolved spectroscopy. Understanding the photophysics of lead halide perovskites is another research area where bulk as well as the nanocrystals of the perovskite are synthesized and the photophysical properties are investigated using various advanced instruments such as UV-visible absorption, steady-state, and time-resolved fluorescence spectroscopy.
Nanomaterials: The primary focus of this research is synthesis and characterization of nanostructures and explore their application in different areas. We studied the magnetic properties of cyclodextrin functionalized iron oxide nanostructures and shown that cyclodextrin functionalized TiO2 coated Fe3O4 nanoparticles can be used for separation and photocatalytic degradation of endocrine-disrupting chemicals (EDC) such as bisphenol A and dibutyl phthalate. Another topic of interest is the engineering of new hybrid materials by the delamination of layered materials. Delamination has been performed in non-polar medium by intercalating long-chain surfactants in interlamellar spaces. We employed off-axis electron holography to study the built-in potential across the junction of PbS-CdS core-arm heterostructure.
Faculty working in this area:-
Dr. Tufan Ghosh, Dr. Rajesh Chalasani, Dr. Sabeel M Basheer
Inorganic and Supramolecular Chemistry:-
Bioinorganic and Material Chemistry:This research aims at developing biologically important coordination and organometallic compounds. We are extensively studying the coordination behavior of lanthanide complexes and their photophysical applications. We are synthesizing chemosensor receptors for environmentally pollutant ions. We are also developing organic-inorganic hybrid materials for various applications.
Supramolecular Chemistry:Here we engaged in exploring functional cage molecules. We use self-assembly process to synthesize such functional cages via coordination bonds. These functional cages are used for host-guest study, catalysis, and stabilizing media. We also explore supramolecular metallo-gel using functional cages as primary components. Mechanically interlocked molecules and their applications is another research interest in our research group.
Faculty working in this area:-
Dr. Soumyakanta Prusty, Dr. Sabeel M Basheer, Dr. Anubendu Adhikary, Dr. Selvakumar K.
