Departments of Mathematics

Approximation Theory

• C2 – Rational Cubic Spline involving tension-parameters, M. Shrivastava & J. Joseph, Proceedings of the Indian Academy of Sciences (Mathematical Sciences), Vol. 110, No. 3, August 2000, pp. 305-314
• Relative Analysis for Carbon Sequestration Potential of Prominent Private and Public Green Spaces in Bengaluru, India, Rajesh Gopinath, Abeer Mishra, Aishwarya R Pai, Jay Hitesh Sanghvi, Jojy Joseph Idicula, Civil and Environmental Engineering Reports 2024;34(2):224-241 DOI: https://doi.org/10.59440/ceer/189915
• Viscoelastic dielectric liquid flow over a horizontal stretching sheet, Journal of thermal analysis and calorimetry, N. Veena, P.A. Dinesh, Annamma Abraham & Jojy Joseph Idicula, Vol 148, Issue 21, Sept. 2023, Pages 11893-11902
• A Study on Heat and Flow of Viscoelastic Dielectric Liquid Over an Inclined Stretching Sheet. N Veena, A Abraham, JJ Idicula, PA Dinesh. Journal of Mines, Volume 71, Issue 11, November 2023. DOI: https://doi.org/10.18311/jmmf/2023/36048
• Recent Advances of Mathematics in Political field, V. Margret Ponrani & Jojy Joseph Idicula, Journal of Applied Science and Computations, Vol. VI, Issue IV, April 2019, , Page No:1172-1180 (ISSN NO: 1076-5131).

• Received Topper Elite and Gold certificate for NPTEL online certification course on Calculus of One Real Variable, July- September, 2025 organized by Indian Institute of Technology, Kanpur,
• Selected as a Panel of External Members of the Doctoral Committee (for Ph. D student) at Vellore Institute of Technology since 9th September, 2025,
• Selected as a member of the Editorial Board at Deep Science Publishing, May 17, 2025.

• Professional Member of the Institute For Engineering Research And Publications, from November 1, 2019 to December 31, 2020 (Membership Number: PMIN10837654.),
• Life time Member of Global Research & Development Services, Association for Development of Teaching, Education and Learning (ADTEL), April 15, 2017 (Membership Number: ADTEL-M17322),
• Life time Member of Operational Research Society of India, December 22, 2016 (Membership Number: 1233/K/16/ML).

• K. Sikdar - A single server finite buffer Geom/G/1/K queue with L limited service and multiple vacation policy, International Journal of Mathematics in Operational Research, 2024, Vol. 27 (3), pg. no. 328 - 353, ISSN- 1757-5869 (Online), 1757-5850 (Print). DOI: 10.1504/IJMOR.2024.138058
• H. A. Kumara, K. Sikdar and V. Venkatesha: “Almost *-Ricci solitons on contact strongly pseudo-convex integrable CR-manifolds”, Filomat, 38 (2), 543-551(2024).
• Rema V and K. Sikdar, Optimizing Patient Waiting Time in the Outpatient Department of a Multi-specialty Indian Hospital: The Role of Technology Adoption and Queue-Based Monte Carlo Simulation, SN Computer Science, 2021, Vol 2, pg. no. 1-9. Publication date: 9th April, 2021. ISSN- 2661-8907. DOI: 10.1007/s42979-021-00595-8
• Rema V and K. Sikdar, Modelling the Case Fatality Ratio of COVID-19, 2021 2nd International Conference on Big Data Analytics and Practices (IBDAP), IEEE Xplore, 2021, pp. 76-83, Impact Factor 9.237, ISBN- 978-1-4799-8046-8 (Print). Publication date 5, October, 2021. 10.1109/IBDAP52511.2021.9552168
• K. Sikdar- Modelling and analysis of a discrete-time GIX/Geom/1/K queue with N threshold policy, International Journal of Mathematics in Operational Research, 2020, Vol 17 (3), pg. no. 301-317, ISSN- 1757-5869 (Online), 1757-5850 (Print). Publication date: 16th September 2020. DOI: 10.1504/IJMOR.2020.10024979

Computational Fluid Dynamics

Life Member of Indian Society for Technical Education – [ISTE] Life Member of Global Research & Development Services

• "Sreelakshmi, T.K., Annamma, A., Chethan, A.S., Krishna Murthy, M., Raju, C.S.K., Nonlinear thermal buoyancy on ferromagnetic liquid stream over a radiated elastic surface with non fourier heat flux, CMES - Computer Modeling in Engineering and Sciences, 2021, 126(1)"
• "Sreelakshmi, T.K., Abraham, A., Raju, C.S.K., Prasannakumara, B.C., Chethan, A.S., Brownian motion and thermophoresis significance of Casson fluid flow in an elastic- radiated surface with a suspension of transpiration and non-Fourier heat flux, Waves in Random and Complex Media,Vol. 31, Issue 4, Taylor & Francis, , 2021"
• "Sreelakshmi,T.K., Abraham, A., Chethan, A.S., Dynamics of ferromagnetic due to nonlinear thermal buoyancy when Cattaneo–Christov heat flux and magnetic dipole whose magnetic scalars are significant, Waves in Random and Complex Media, 2022"
• "S. Shivaprasada Nayaka, T.K. Sreelakshmi and Santosh Kumar, Arithmetic properties of singular over partition pairs without multiples of k , Arab Journal of Mathematical Sciences Emerald Publishing Limited e-ISSN: 2588-9214 p-ISSN: 1319-5166 DOI 10.1108/AJMS-01-2021-0013"
• "T K Sreelakshmi, P D Selvi , K Ramesh Babu, P Durga Prasad, HB Santosh, Annamma Abraham, CSK Raju, M Sreedhar Babu ""Dynamics of Brownian motion and nonlinear mixed convective conditions on thermophoretic slip flow embedded with non-Fourier flux"" , International Journal of Modern Physics B, World Scientific Publishing Company.,2023"

Received International Travel Support (ITS) from Science and Engineering Research Board (SERB), New Delhi to attend International Conference on Magnetic Fluids (ICMF-2019) at Sorbonne University, Paris, France during July 08-12, 2019, Reviewer of Journal of Thermal Analysis and Calorimetry (SCI, Q2, Springer), Qualified GATE in Mathematics (All India Rank 755) organized by IIT Kanpur in 2015

Computational Fluid Dynamics

Lifetime Member of IAENG (International Association of Engineers)

• A. Bhattacharyya, G. S. Seth, R. Kumar and A. J. Chamkha "Simulation of Cattaneo-Christov heat flux on the flow of single and multi-walled carbon nanotubes between two stretchable coaxial rotating disks", Journal of Thermal Analysis and Calorimetry, Vol. 139, pp. 1655-1670, 2020 (SCI Indexed, IF: 3.1) (Springer) https://doi.org/10.1007/s10973-019-08644-4
• G. S. Seth, A. Bhattacharyya, R. Kumar and A. J. Chamkha "Entropy generation in hydromagnetic nanofluid flow over a non-linear stretching sheet with Navier’s velocity slip and convective heat transfer", Physics of Fluids, Vol. 30 (12), Article ID: 122003 (15 pages), 2018 (SCI Indexed, IF: 4.3) (American Institute of Physics) https://doi.org/10.1063/1.5054099
• A. Bhattacharyya, R. Kumar, S. Bahadur, G. S. Seth and Sunil "Modeling and interpretation of peristaltic transport of Eyring–Powell fluid through uniform/non-uniform channel with Joule heating and wall flexibility", Chinese Journal of Physics, Vol. 80, pp. 167-182, 2022 (SCI Indexed, IF: 4.6) (Elsevier) https://doi.org/10.1016/j.cjph.2022.06.018
• A. Bhattacharyya, R. Kumar and G. S. Seth "Capturing the features of peristaltic transport of a chemically reacting couple stress fluid through an inclined asymmetric channel with Dufour and Soret effects in presence of inclined magnetic field", Indian Journal of Physics, Vol. 95, pp. 2741-2758, 2021 (SCI Indexed, IF: 1.7) (Springer) https://doi.org/10.1007/s12648-020-01936-8
• R. Kumar, G. S. Seth and A. Bhattacharyya "Entropy generation of Von Karman’s radiative flow with Al2O3 and Cu nanoparticles between two coaxial rotating disks: A finite element analysis", The European Physical Journal Plus, Vol. 134, Article number: 597, 2019 (SCI Indexed, IF: 2.9) (Springer) https://doi.org/10.1140/epjp/i2019-13086-0

10th position in state during Intermediate exam, Reaceived Inspire Fellowship

Fuzzy Automata Theory, Rough Automata theory, Category theory

LIFE MEMBER OF INDIAN SCIENCE CONGRESS, LIFE MEMBER OF INDIAN MATHEMATICAL SOCIETY

• Pal P.;Tiwari S.P.;Singh S, L-fuzzy rough automaton: a mathematical model for natural languages, International Journal of Machine Learning and Cybernetics, Volume 12, Year 2021, Pages 2091-2107.
• Pal P.;Tiwari S.P.,On LM -valued automata: an operator oriented view, Journal of Applied Mathematics and Computing, Volume 62 (1-2), pg no.587-609.
• Pal P.;Tiwari S.P., Singh S, On a factorized L-fuzzy automaton and its L-fuzzy topological characterization, Fuzzy Sets and Systems, Volume 420, 15 September 2021, Pages 29-53.
• Pal P.;Tiwari S.P., Category of -valued Multiset Automata and Brzozowski’s Algorithm, New Mathematics and Natural Computation 16 (03), 481-496.
• Tiwari S.P., Yadav V K, Pal P. Sharma B K, Minimal Fuzzy Realization for Fuzzy Behaviour: A Bicategory-theoretic Approach, Journal of Multiple-Valued Logic & Soft Computing 31.

CSIR NET(AIR-93), TNSET, Published 5 Books

Topology, control theory

Life member of the International Association of Engineers (IAENG)

• Approximate controllability of Hilfer fractional Sobolev-type integrodifferential inclusions with Nonlocal conditions, Int. J. Dynamical Systems and Differential Equations Volume.10 No.1, pp.59 – 80, 2020
• 5G Wireless Communication and Its Adverse Effects on the Human Body: Distinguishing Falsehoods from Reality, International Journal of Intelligent Systems And Applications In Engineering, Vol. 12 No. 5s, 101–112, 2024
• Optimizing Computation: A Biomimicry Design Spiral Approach to Algorithm Development, Communications on Applied Nonlinear Analysis,32(1s), pp. 528-538, 2025
• Soil–Water–Air (SWA) Interface Channel Model for River Bridge Pillar Health Monitoring Using WSN, Information 2025, 16, 1019.
• On the results of Hilfer fractional derivative with nonlocal conditions, International Journal of Pure and Applied Mathematics Volume 118, No. 11, 277-289, 2018.

AIR-29, IIT JAM 2015, CSIR NET 2018 QUALIFIED, GATE 2018 QUALIFIED

Fractional Partial Differential Equations

Complex analysisi

Fluid Dynamics and Biomathematics

Indian Science Congress Association: Kolkata, West Bengal, IN MEMBERSHIP, IMA

• https://scholar.google.com/citations?view_op=view_citation&hl=en&user=6Qw5PtgAAAAJ&citation_for_view=6Qw5PtgAAAAJ:IjCSPb-OGe4C
• https://scholar.google.com/citations?view_op=view_citation&hl=en&user=6Qw5PtgAAAAJ&citation_for_view=6Qw5PtgAAAAJ:u-x6o8ySG0sC

Fluid Mechanics

ISTAM, IMS, The Indian Science Congress Asociation, AMTI

• Shankar Narayan S, Aishwarya R, Nidhi S Vaishnaw, Chandankumar S, Mechanical properties of stenosed coronary arterial walls with slip velocity, Physics of Fluids, 37(2), 021905, 2025.
• Shankar Narayan S, Rakshitha S, Aashna Singh, Blood Flow Across Cerebral Aneurysms with Magnetic Field Intervention, Physics of Fluids, 37(3), 031901, 2025.
• Shankar Narayan S, Flow diverters as a technique to balance the flow in bifurcation branches in a stenosed coronary artery, Chinese Journal of Physics, 96, pp. 906-973, 2025.
• Shankar Narayan S, Laminar single-phase modeling and numerical study of flow of aspirin in a coronary arterial bifurcation with slip boundary, ZAMM - Journal of Applied Mathematics and Mechanics, 105, 2025.

Computational Fluid Mechanics

CBEES: Chemical, Biological & Engineering Society, International Association of Engineers

• I.S. Shivakumara, M. Ravisha, Chiu-On Ng, V.L. Varun, A thermal non-equilibrium model with Cattaneo effect for convection in a Brinkman porous layer, International Journal of Non-Linear Mechanics, Volume 71, 2015, Pages 39-47, ISSN 0020-7462, https://doi.org/10.1016/j.ijnonlinmec.2015.01.007. (https://www.sciencedirect.com/science/article/pii/S0020746215000177)
• Shivakumara, I.S., Ravisha, M., Ng, CO., V L Varun, Porous ferroconvection with local thermal nonequilibrium temperatures and with Cattaneo effects in the solid. Acta Mech 226, 3763–3779 (2015). https://doi.org/10.1007/s00707-015-1402-7
• Parul Agarwal, Dilip Kumar Sharma, V.L. Varun, Pruthvi Raj Venkatesh, Chaitanya Kanchibhotla, Randy Joy Magno Ventayen, Md. Khaja Mohiddin, A survey on the scope of cloud computing, Materials Today: Proceedings, Volume 51, Part 1, 2022, Pages 861-864, ISSN 2214-7853, https://doi.org/10.1016/j.matpr.2021.06.275. (https://www.sciencedirect.com/science/article/pii/S2214785321046654)
• Varun, V.L., Poornima, M., Pushpa, S., Chaitra, A.C., Venugopal, P., Sreejith, P.M. (2023). Exploring the Essentials Elements of Data Analysis and Its Impact on Performance Management Framework. Smart Innovation, Systems and Technologies, vol 290. Springer, Singapore. https://doi.org/10.1007/978-981-19-0108-9_53
• V. K. Nassa, V. L. Varun, A. S. Chandra, M. K. Chakravarthi, R. Singh and D. Verma, "Evaluation of Block-chain Transaction Accuracy using Neural Network Model," 2022 5th International Conference on Contemporary Computing and Informatics (IC3I), Uttar Pradesh, India, 2022, pp. 357-361, doi: 10.1109/IC3I56241.2022.10072577. keywords: {Deep learning;Productivity;Costs;Distributed ledger;Programming;Real-time systems;Blockchains;Blockchain;Neural Network;Deep Learning;Artificial Intelligence;Machine Learning;Artificial Neural Network},

CSIR UGC-NET LS Qualified with AIR-29, TOEFL Qualified, GRE General and Subjective Qualified

Applied & Computational Mathematics

• The Signed Cumulative Distribution Transform for 1-D signal analysis and classification, Foundations of Data Science, AIMS, 4(1), pp. 137-–163 (2022), A. Aldroubi, R.D. Martin , I. Medri, G.K. Rohde, Sumati Thareja
• The Radon Signed Cumulative Distribution Transform and its applications in classification of Signed Images, Poincare J. Anal. Appl., Vol. 10(2), Special Issue, 2023, 91-116, L. Gong, S. Li, N.S. Pathan, M.S.E. Rabbi, G.K. Rohde, A.H.M. Rubaiyat, Sumati Thareja
• Reconstruction algorithms for source term recovery from dynamical samples in catalyst models, Journal of Fourier Analysis and Applications, Vol. 31, article 53, A. Aldroubi, L. Gong, I. Krishtal, B. Miller, Sumati Thareja
• Signed Cumulative Distribution Transform for Parameter Estimation of 1-D Signals, arxiv, A. Aldroubi, R.D. Martin, I. Medri, G.K. Rohde, Sumati Thareja

First Rank in Maste`s Degree with two Gold Medals and Award of Inspire Fellowship to do Research from the Department of Science and Technology, INDIA.

Differential Geometry

• Venkatesha and Vishnuvardhana.S.V., (Epsilon)-Kenmotsu Manifolds admitting a semi symmetric metric connection, Italian Journal of Pure and Applied Mathematics(ISSN 2239-0227), 38, 2017, 615-623.
• Vishnuvardhana.S.V and Venkatesha, Results on para-Sasakian manifold admitting a quarter symmetric metric connection, CUBO, A Mathematical Journal, Vol. 22, No 02, 257–271.(2020)( ISSN 0716-7776 (print version) - ISSN 0719-0646 (online version)).
• Venkatesha, Arasaiah, Vishnuvardhana S V, Naveen Kumar R T., Some Symmetric Properties of Kenmotsu Manifolds Admitting Semi-Symmetric Metric Connection, FACTA UNIVERSITATIS (NIˇS), Ser. Math. Inform. Vol. 34, No 1 (2019), 35–44 (https://doi.org/10.22190/FUMI1901035V) (ISSN: 0352-9665)
• Vishnuvardhana.S.V., Venkatesha and Turgut Vanli.A., On 3-dimensional Trans- Sasakian manifold admitting a semi symmetric metric connection, Gazi University Journal of Science, 32(1), 2019, 242-254. (e-ISSN: 2147-1762) ( http://dergipark.gov.tr/gujs/issue/43586/320279 )
• Kiran Sajjan, SV Vishnuvardhana, SU Mamatha, CSK Raju, Entropy and Non-Fourier Flux on Hydro-magnetic Flow Among Nonlinearly Radiated Porous Micro Walls Filled with Blood-Based Different Shaped Ternary Nanoparticles, International Journal of Applied and Computational Mathematics, Volume 10, article number 120, (2024).

NET, GATE

Topology

• "R. Bharati, A. Deb Ray, S.K. Acharyya, S. Acharyya, A generalization of topology of uniform convergence on C(X), Topology Appl., 310 (2022), 108041."
• "R. Bharati, A. Acharyya, A. Deb Ray, S.K. Acharyya, Zero-divisor graph and comaximal graph of rings of continuous functions with countable range, J. Algebra Appl., 23(14) 2024, 2450243."
• "S.K. Acharyya, R. Bharati and M. Parsinia, Intermediate rings of a class of ordered field valued continuous functions, Queast. Math., 45(6) 2021, 843-858."
• "S. Acharyya, S.K. Acharyya, R. Bharati and A. Deb Ray, Some algebraic and topological properties of rings of measurable functions, Houst. J. Math. 47(3), 2021, 633-657."
• "P. Nandi, R. Bharati, A. Deb Ray and S.K. Acharyya, More on generalizations of topology of uniform convergence and m-topology on C(X), Filomat, 37(26) 2023."

University First Rank and Gold Medal for MSc Mathematics, Invited speaker in 2 International Conferences (London and India) and reviewer in 3 journals (Q1 and Q2), Selected in National Level Training Programs by NISER Bhubaneswar (BSc, 2016) and CUTN Thiruvarur (MSc, 2017)

Applied Mathematics

• A. Keerthana and A. Nair, “A deep neural multi-model ensemble (dnm2e) framework for modelling groundwater levels over kerala using dynamic variables,” Stochastic environmental Research and Risk Assessment, pp. 1–41, 2023.
• A. Keerthana, A. Nair, and G. Singh, “An improved hybrid-coupled model for delineation of groundwater potential zones using surface and climatological factors,” Theoretical and Applied Climatology, vol. 151, no. 3-4, pp. 2001–2022, 2023.
• A. Keerthana and A. Nair, “Trend analysis of Hydro-Climatological factors using a bayesian ensemble algorithm with reasoning from dynamic and static variables,” Atmosphere, vol. 13, no. 12, p. 1961, 2022.
• Z. Paul, A. Keerthana, and A. Nair, “Identification of homogeneous zones in kerala through K-Means clustering,” Mathematical Statistician and Engineering Applications, vol. 71, no. 3s, pp. 413–433, 2022.
• A. Keerthana, and A. Nair, "Eigenvector Method for Demarcation of Groundwater Potential Zones on a Gridded Domain", Advances in Science, Technology & Innovation, 2024

Computational fluid dynamics

• D. S. Neha1 ·A. Bhattacharyya1 ·T. K. Sreelakshmi1 OHAM-basedinvestigation of flowdynamicsinMaxwellhybrid nanofluidwithcopperandgraphenenanoparticles Multiscale and Multidisciplinary Modeling, Experiments and Design https://doi.org/10.1007/s41939-025-00893-1