Umut Selvi | Ankara Hacı Bayram Veli University | Best Researcher Award

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Mr. Umut Selvi l Mathematics | Best Researcher Award

Ankara Hacı Bayram Veli University | Turkey

 Mr. Umut Selvi centers on advanced mathematical structures, focusing on algebraic geometry, matrix theory, and their applications in both theoretical and computational mathematics. His doctoral and postgraduate work explores the geometry of Lie algebroids and non-Newtonian parallel surfaces, contributing to a deeper understanding of modern geometric frameworks that bridge algebra and analysis. Selvi has co-authored several studies on spectral norms of circulant matrices involving Chebyshev polynomials and Fibonacci quaternions, providing explicit formulas and extending the theoretical foundations of matrix norms. His research in these areas enhances the computational methods used in engineering and applied sciences. Additionally, his collaborative book chapters and editorial contributions in mathematical publications such as Mathematical Methods for Engineering Applications and Recent Developments in Mathematics reflect a strong engagement in the dissemination of mathematical innovation. Through presentations at international conferences, including those on geometry and mathematical education, Selvi has shared insights on generalized multiplicative cross products, Euclidean norms, and Lie algebraic structures on vector spaces. His work emphasizes analytical precision, structural symmetry, and the unification of abstract algebraic concepts with geometric intuition, advancing the field of pure mathematics with applications in natural and computational sciences.

Featured Publication

Selvi, U. (2025). An explicit formula for spectral norms of circulant matrices with Chebyshev polynomials. Acta Mathematica Universitatis Comenianae, 94(1), 1–5.

Reshma R | Mathematics | Best Scholar Award

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Ms. Reshma R l Mathematics | Best Scholar Award

Amrita Vishwa Vidyapeetham, Coimbatore | India

Ms. Reshma R is a dedicated researcher in applied and computational mathematics, with her work primarily focusing on nonlinear dynamics, fractional-order systems, and neural network synchronization. Her research explores the mathematical modeling, control, and stability analysis of complex systems with applications in secure communication and biometric image encryption. She has published in high-impact journals such as Communications in Nonlinear Science and Numerical Simulation and Mathematical Methods in the Applied Sciences, contributing to advancements in Mittag-Leffler synchronization, hybrid control strategies, and event-triggered systems. Her studies on fractional-order disturbed chaotic neural networks and Lyapunov-based stability conditions offer innovative approaches to enhancing security and robustness in image communication systems. Additionally, her work on hybrid event-triggered singular time-delay systems presents new methodologies for exponential stabilization, bridging theoretical mathematics with engineering applications. Ms. Reshma’s interdisciplinary approach integrates differential calculus, control theory, and computational modeling, reflecting her strong analytical foundation and research depth. She actively participates in national and international conferences, engaging with emerging areas in nonlinear complex systems and mathematical modeling. Her commitment to mathematical innovation and interdisciplinary collaboration underpins her growing impact within the mathematical sciences research community.

Featured Publications

Ramaswami, R., Arumugam, V., & Pathmanaban, S. (2026). Mittag-Leffler synchronization of fractional order disturbed chaotic neural networks with varying time-delay using hybrid controller and its application to biometric image encryption. Communications in Nonlinear Science and Numerical Simulation, 119, 109350. https://doi.org/10.1016/j.cnsns.2025.109350

Ramaswami, R., Arumugam, V., & Pathmanaban, S. (2025). Lyapunov conditions for the finite-time stability of fractional order disturbed nonlinear systems and neural networks: The secure image communication using encryption. Communications in Nonlinear Science and Numerical Simulation, 117, 108716. https://doi.org/10.1016/j.cnsns.2025.108716

Ramaswami, R., Thoppilkalam, N. V., Arumugam, V., & Alzabut, J. (2024). Exponential stabilization of hybrid event-triggered singular time-delay systems. Mathematical Methods in the Applied Sciences, 47(14), 10190. https://doi.org/10.1002/mma.10190

Hemalatha K | Mathematics | Best Researcher Award

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Dr. Hemalatha K | Mathematics
| Best Researcher Award

Chennai Institute of Technology, Chennai | India

Dr. Hemalatha K is an accomplished mathematician and researcher specializing in theoretical seismology and wave propagation, currently serving as an Assistant Professor at the Center for Nonlinear Systems, Chennai Institute of Science and Technology, Tamil Nadu, India, since February 2025. She earned her Ph.D. in Mathematics (2024) from SRM Institute of Science and Technology, Chennai, with her thesis titled “Theoretical Study of Elastic Wave Propagation in Anisotropic and Functionally Graded Layered Media.” Her academic foundation includes an M.Sc. in Mathematics with outstanding distinction from Bishop Heber College, Trichy and a B.Sc. in Mathematics from Holy Cross College, Trichy. With over three years of research experience, Dr. Hemalatha has made significant contributions to the field through 17 peer-reviewed international journal publications, achieving a cumulative impact factor. Her recent research includes advanced studies on flexoelectric coupling, interfacial imperfections, and wave behavior in functionally graded and piezoflexoelectric materials, published in reputed Q1–Q3 indexed journals such as Mathematics (MDPI) and Journal of Mechanical Science and Technology (Springer). She holds professional identifiers including ORCID (0000-0002-9355-5747) reflecting her growing international academic recognition.

Profile: Google Scholar | Orcid

Featured Publication

1. Hemalatha, K., Kumar, S., & Prakash, D. (2023). Dispersion of Rayleigh wave in a functionally graded piezoelectric layer over elastic substrate. Forces in Mechanics, 10, 100171. https://doi.org/10.1016/j.finmec.2023.100171

2. Hemalatha, K., Kumar, S., & Kim, I. (2024). Study of SH-wave in a pre-stressed anisotropic magnetoelastic layer sandwich by heterogeneous semi-infinite media. Mathematics and Computers in Simulation, 222, 225–241. https://doi.org/10.1016/j.matcom.2024.01.015

3. Hemalatha, K., Kumar, S., & Akshaya, A. (2023). Rayleigh wave at imperfectly corrugated interface in FGPM structure. Coupled Systems Mechanics, 12(4), 337–364. https://doi.org/10.12989/csm.2023.12.4.337

4. Akshaya, A., Kumar, S., & Hemalatha, K. (2024). Behaviour of transverse wave at an imperfectly corrugated interface of a functionally graded structure. Physics of Wave Phenomena, 32(2), 117–134. https://doi.org/10.3103/S1541308X24020023

5. Hemalatha, K., & Kumar, S. (2024). Propagation of SH wave in a rotating functionally graded magneto-electro-elastic structure with imperfect interface. Journal of Vibration Engineering & Technologies, 12(7), 8383–8397. https://doi.org/10.1007/s42417-024-01007-5

6. Akshaya, A., Kumar, S., & Hemalatha, K. (2025). Propagation of shear horizontal wave at magneto-electro-elastic structure subjected to mechanically imperfect interface. Mechanics of Advanced Composite Structures, 12(1), 97–114. https://doi.org/10.22075/macs.2025.32784.1550