Research

The school is actively involved in academic/sponsored research and industrial consultancy work.

Research Highlights

Carnot Heat Efficiency

According to the second law of thermodynamics no heat engine can have an efficiency larger than Carnotâ€™s efficiency. The latter can be achieved by the Carnot ..

Iteration of Translated tangent

Iteration of a meromorphic function with a single essential singularity is very rich as a dynamical system. We consider the map T_λ: z → λ + tan z on the complex plane..

Measurement of CP asymmetry in the D0 to K0S K0S decay at Belle

Although Big Bang should have created equal amounts of matter and antimatter in the early universe, what we see around us is made almost entirely of matter. This leads to the inference that something must have happened to..

PHYSICS
We study black holes, tunneling in AdS, entanglement entropy, topological insulators and AdS/CFT correspondence. Precise measurement of charge-conjugation-parity (CP) violation in B-meson decays are performed. In the photonics and plasmonics laboratory, we design, fabricate and characterize optical devices based on plasmonics and utilize fiber optics to develop micro- and nano-structured devices. We study the interactions of charged particles with biomolecules, clusters, aromatic hydrocarbon etc., quantum interference of diatomic molecules and nanostructure formation on materials by ions in the accelerator-based physics laboratory. The condensed matter theory group studies the phase coherent transport in mesoscopic electronic systems. In the magnetic materials laboratory, we work with the materials with unconventional magnetic and electronic properties. We are also involved in the study of nano-structure materials and energy storage devices, molecular dynamics simulations, quantum transport and quantum biology.

CHEMISTRY
We are involved in design and development of metal complexes towards catalysis and anti-cancer drugs, functionalization of nanoparticles and nanoparticles based biosensors. We perform research in the areas of coordination chemistry, magnetic materials and magnetostructural correlation and bio-inspired coordination chemistry. Major ongoing program is in “Catalysis for Fine Chemicals” within the platform of sustainable and green chemistry. We also study chemistry beyond the molecules through molecular recognition, with the knowledge of non-covalent interactions, for the synthesis of exotic organic and organic-inorganic hybrid materials. We use classical molecular dynamics simulation to study the structure and dynamical properties of the hydrogen bonding system.

MATHEMATICS
The main focus of research in mathematical analysis is on variational inequalities and complementarity problems, complex dynamics and fractals. Research is being carried out in Algebraic Geometry, Commutative Algebra, Valuation Theory, combinatorial matrix theory, graph theory, generalized inverses of matrices, optimization theory, geometric programming and queueing theory. Some of us are actively engaged in computational areas of research such as computational fluid dynamics, stochastic modeling and simulation, computational applied probability models, numerical methods, soft computing and artificial neural networks.

BIOSCIENCES
The research work in biosciences is focused on G-protein coupled receptor biology, peptide/protein design and engineering, molecular modeling, computational biology, the structure-function studies of various proteins of eye lenses, leprosy, tuberculosis and mechanism and regulation of a class of enzyme ATPases involved in various biological pathways and human diseases.

Research Projects

Some of the major sponsored research projects of the school are as follows.

S.N.	Title of Project	Sponsoring Agency	Name
1	Development of computational methods for stochastic models with Markovian arrival/service process and their applications	DST, New Delhi, India	Dr. Abhijit DattaBanik
2	India-CMS collaboration project	DAE-DST	Dr. S. Bahinipati
3	The Role of Clock ATPase KaiC in the Temporal Control of DNA Replication	Vanderbilt International Research Grants Program, Vanderbilt University, USA	Dr. Anasuya Roychowdhury (Jointly with Prof. Carl Johnson)
4	Development of a general synthetic approach directed towards the total synthesis of bioactive iridoid class of terpenoids	SERB, DST	Dr. Tabrez Khan
5	Influence of osmolytes on the structure, dynamics and hydrogen bond properties of water in aqueous solution and other aqueous binary mixtures at different thermodynamic conditions	DST (SERB)	Dr. Snehasis Chowdhuri
6	Study on the development of ultra-sensitive optical fiber accelerometer	DRDO	Dr. Rajan Jha
7	Design, synthesis and biological evaluation of novel FtsZ inhibitors as potential anti tubercular agents	DBT, India	Dr. Shantanu Pal
8	Intramolecular 1,3-dipolar cycloaddition of nitrile oxides to embellished bicyclo[2.2.2]octenones and its derivatives: studies on the synthesis of isotwistane framework of pupukeananes	Prof. G. N. Mahapatra Endowment Award from Utkal University	Dr. Shatntanu Pal
9	Role of C-terminal Region of Mycobacterium tuberculosis Hsp16.3 for its Structure, Stability and Chaperon Function - A Biophysical and Site Directed Truncation Study	CSIR	Dr.Ashis Biswas
10	Omitted values in Complex dynamics	DST, Govt of India	Dr. TarakantaNayak
11	Development of Transition Metal Functionalized Gold Nanoparticles and Their Potential Applications	CSIR	Dr. Srikanta Patra
12	Design and Development of heterodimetallic complex of ruthenium iridium and palladium and their chemical and biological aspects	SERB	Dr. Srikanta Patra
13	Development of Higher order compact scheme to capture Taylor column phenomena in rotating fluids	DST	T V S Sekhar
14	Validity of Quasi-static Approximation in Magnetohydrodynamic Flows and Heat Transfer - a Numerical Study	CSIR	T V S Sekhar
15	Synthesis and study of thermoelectric properties of Half-Heusler Alloys with non-trivial topological order	BRNS	Dr.NiharikaMohapatra
16	Role of A-site cation and disorder on the magneto-dielectric properties of double perovskites, A2BB'O6	DST	Dr.NiharikaMohapatra
17	Magnetic Properties of Self-Assembled Bivalent, Trivalent and Mixed-valent [2x2] Transition Metal Grids	UGC/DAE-CSR	Dr. A. K. Singh
18	Centre of Excellence on Novel Energy Materials (CENEMA)	MHRD	Prof. Saroj Kumar Nayak
19	Dr S K Dash Centre of Excellence on BioScience, Engineering and Technology (SKBET) and SKBET Chair	Dr S K Dash Foundation, USA	Prof. Saroj Kumar Nayak
20	CENEMA	MHRD	Prof. Sujit Roy

Recent Research Mathematics

Dr Sasmita Barik

1. Sasmita Barik, Debabrota Mondal, Sukanta Pati, and Kuldeep Sarma, Singular graphs and the reciprocal eigenvalue property, Discrete Mathematics, 347(7):114003, (2024).
2. Sasmita Barik and Piyush Verma, On spectral properties of token graphs, Linear Algebra and its Applications, 687:181--206, (2024).
3. Sasmita Barik, Subhasish Behera, and Sukanta Pati, On the smallest positive eigenvalue of bipartite graphs with a unique perfect matching, Discrete Applied Mathematics, 347: 311--318, (2024).
4. Sasmita Barik and Sane Umesh Reddy, On the A_c-rank of multidigraphs, Aequationes Mathematica, 98:189--213, (2024).
5. Sasmita Barik and Piyush Verma, On spectral properties of neighbourhood second Zagreb matrix of graphs, Communications in Combinatorics and Optimization, (2024). DOI: 10.22049/CCO.2023.28424.1546
6. Sasmita Barik and Subhasish Behera, On integer matrices with integer eigenvalues and Laplacian integral graphs, Discrete Mathematics, 347(1):113707, (2024).
7. Sasmita Barik and Sane Umesh Reddy, Laplacian spectra of cographs: A twin reduction perspective, Linear Algebra and its Applications, 675:203--224, (2023).

Dr. Bankim Chandra Mandal

1. Convergence of substructuring methods for the Cahn–Hilliard equation; with G. Garai, Communications in Nonlinear Science and Numerical Simulation, Vol. 120, 2023.
2. Dirichlet–Neumann and Neumann-NeumannWaveform Relaxation Algorithms for Heterogeneous Sub-diffusion and Diffusion-wave Equations; with S. Sana, Computers & Mathematics with Applications, 2023.
3. Linear and Nonlinear Dirichlet-Neumann Method in Multiple Subdomains for the Cahn-Hilliard Equation; with G. Garai, International Journal of Computer Mathematics, 2023.
4. Diagonalization Based Parallel-in-Time Method for a Class of Fourth Order Time Dependent PDEs; with G. Garai, Mathematics and Computers in Simulation, https://doi.org/10.1016/j.matcom.2023.07.028, 2024.
5. On the Convergence of Overlapping and Non-overlapping Schwarz Methods for the Cahn-Hilliard Equation; with G. Garai, J. Comput. Sci., 2023.

Dr. Neelam Saikia

1. Dr. Neelam Saikia has been selected for the Core Research Grant by SERB.
2. N. Saikia, Values of $p$-adic hypergeometric functions, and $p$-adic analogue of Kummer's linear identity, Int. J. Number Theory, (2024) (accepted) doi.org/10.1142/S1793042124501136.
3. S. Pujahari and N. Saikia, $ell$-adic digits and class numbers of Imaginary quadratic fields, Internat. J. Math. (2024) (accepted) doi.org/10.1142/S0129167X24500411.

Dr. Arpan Dutta

1. Arpan Dutta, Extensions of valuations to rational function fields over completions, Mathematische Nachrichten, 1-24, 2023.
2. Arpan Dutta, A ruled residue theorem for algebraic function fields of curves of prime degree, Journal of Pure and Applied Algebra, 227(12), 2023.
3. Arpan Dutta and Franz-Viktor Kuhlmann, Tame Key Polynomials, Journal of Algebra, 629, 162-190, 2023.
4. Arpan Dutta, An invariant of valuation transcendental extensions and its connection with key polynomials, Journal of Algebra (649), 133--168, 2024.

Prof. V.R. Allu:

1. Vasudevarao Allu and Himadri Halder, Bohr radius for Banach spaces on simply connected domains, Proceedings of the Edinburgh Mathematical Society (Accepted for publication) (2023)
2. Molla Basir Ahamed and Vasudevarao Allu, Improved Bohr inequalities for certain classes of harmonic mappings, Journal of Ramanujan Mathematical Society (Accepted for publication) (2023)
3. Molla Basir Ahamed and Vasudeva Rao Allu, Transcendental solutions of Fermat-type functional equations in $ mathbb{C}^n $, Analysis and Mathematical Physics 13(2023), no.5, Paper No. 69, 17 pp.
4. Vasudevarao Allu and Himadri Halder, Bohr operator on operator valued polyanalytic functions on simply connected domains, Canadian Mathematical Bulletin (2023) (Accepted for publication)

Dr. Debajyoti Choudhuri :

1. Debajyoti Choudhuri, Leandro S. Tavares, Jesús A. Álvarez López, A study of a critical hypoelliptic problem in a stratified Lie group, Complex Variables and Elliptic Equations, https://doi.org/10.1080/17476933.2024.2310217
2. Debajyoti Choudhuri, Rana Alkhal, Kamel SaoudI, Existence of solution for a nonlocal elliptic problem with a Robin-type data, Complex Variables and Elliptic Equations , https://doi.org/10.1080/17476933.2024.2310225

Dr. Mahendra K. Gupta:

1. A. Kumar, M.K. Gupta. Impulse Controllability in Kronecker Form for Rectangular Descriptor Systems, European Journal of Control, Elsevier, Vol. 76, pp. 100959, 2024, (Q1,IF: 3.4)
2. M. Tripathi, L. Moysis, M. K. Gupta, G.F. Fragulis, C. Volos. Observer Design for Nonlinear Descriptor Systems - A Survey on System Nonlinearities, Circuits, Systems, and Signal Processing, Springer, doi: 10.1007/s00034-024-02617-1, 2024. (Q2, IF: 2.3)