Gaurang Sharma | Mathematics | Young Researcher Award

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Dr. Gaurang Sharma | Mathematics | Young Researcher Award

College of Agricultural Engineering & Technology | India

Dr. Sharma Gaurangkumar Bhanuprasad is a dedicated academician and researcher currently serving as an Assistant Professor at the College of Agricultural Engineering & Technology, Godhra. He holds a doctoral degree in Mathematics with a strong foundation in advanced mathematical concepts and their real-world applications. His primary research interests include mathematical modeling and epidemiology, with a focus on developing analytical frameworks for understanding complex biological and environmental systems. He has contributed significantly to the research community through multiple publications, including five journal papers indexed in reputable scientific databases, two research papers presented at international conferences, and two patents under process. His Google Scholar profile reflects his growing scholarly influence, supported by a citation count of three, documented research outputs, and measurable academic contributions. He is also associated with professional bodies through two memberships, reinforcing his involvement in collaborative scientific initiatives. His research identifiers include an ORCID profile and a Scopus Author ID, ensuring transparent documentation of his academic work. He has been honored with the SHODH scholarship awarded by the Education Department of Gujarat for research excellence. Dr. Sharma continues to advance innovative ideas in mathematical sciences, contributing meaningfully to the academic, scientific, and applied research communities.

Profile: Google Scholar

Featured Publications

Sharma, A., Sharma, G., & Singh, F. (2023). Computational models to study the infectious disease COVID-19: A review. International Journal of Mathematical Modelling and Numerical Optimisation.

Sharma, G., Sharma, A., & Parmar, N. (2024). A delay differential equation model on COVID-19 with vaccination strategy. RAIRO – Operations Research, 58(5), 4093–4117.

Sharma, G., & Sharma, A. (2024). The effect of double dose of vaccination on COVID-19 infection in India: A mathematical study. World Scientific News, 195, 7–18.

Sharma, G., & Sharma, A. (2025). Computational model on viral load dynamics in response to COVID-19 infection in a cell. The European Physical Journal Plus, 140(11), 1–15.

Sharma, G., Sharma, A., & Parmar, N. (2025). Mathematical model on COVID-19 transmission with absence and presence of second dose of vaccination in Turkey. TWMS Journal of Applied and Engineering Mathematics.

Deepak Kumar Mahanta | Mathematics | Best Researcher Award

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Mr. Deepak Kumar Mahanta | Mathematics | Best Researcher Award

Indian Institute of Technology Jodhpur, Rajasthan | India

Deepak Kumar Mahanta is a dedicated researcher in mathematics, currently pursuing a Ph.D. at the Indian Institute of Technology Jodhpur under the guidance of esteemed faculty members. His academic journey reflects a strong foundation in pure mathematics, complemented by active engagement in research on partial differential equations and related areas. He has authored multiple research papers in reputed international journals and contributed to the mathematical community through workshops, seminars, and collaborative projects. His work is characterized by rigor, depth, and originality, aiming to address complex mathematical problems with both theoretical insights and potential practical applications.

Professional Profiles

Scopus | Orcid 

Education

Deepak Kumar Mahanta holds a strong academic background in mathematics, beginning with a Bachelor of Science degree in Mathematics (Hons) from North Odisha University, followed by a Master of Science in Pure Mathematics from Dr. B R Ambedkar National Institute of Technology Jalandhar. He is presently pursuing his doctoral studies in mathematics at the Indian Institute of Technology Jodhpur under the supervision of experienced mentors. His education has been marked by consistent excellence and a focus on advanced mathematical theories, particularly in the domain of nonlinear analysis, variational methods, and partial differential equations, building a solid base for his research endeavors.

Professional Experience

Deepak Kumar Mahanta has actively contributed to academia as a Teaching Assistant at the Indian Institute of Technology Jodhpur, assisting in both undergraduate and postgraduate mathematics courses. His teaching responsibilities have included subjects such as Mathematics-I, Mathematics-II, and Complex Analysis, working alongside various faculty members. In addition to teaching, he has been involved in organizing and participating in numerous national and international workshops, seminars, and symposiums on partial differential equations and related topics. His professional engagement demonstrates a balance of research, teaching, and academic service, fostering a collaborative and intellectually stimulating learning environment.

Awards and Recognition

Deepak Kumar Mahanta has been honored with prestigious academic recognitions for his outstanding performance and dedication to mathematics. He has been awarded a fellowship from the Department of Science and Technology to support his doctoral research. He has also been recognized as a gold medalist for securing the top position in his postgraduate program in mathematics. His consistent academic achievements and success in competitive examinations highlight his strong analytical skills and deep subject understanding. These accolades reflect his commitment to academic excellence and his potential to contribute significantly to the advancement of mathematical research and education.

Research Skills

Deepak Kumar Mahanta possesses a diverse range of research skills, particularly in nonlinear analysis, variational methods, and the study of partial differential equations. His expertise includes working on Schrödinger-Kirchhoff equations, singular and exponential nonlinearities, Trudinger-Moser type inequalities, and anisotropic elliptic systems. He has experience in applying advanced mathematical techniques such as the fibering method and Nehari manifold approach to establish existence and multiplicity results. His work involves both independent problem-solving and collaborative research with international and national experts, leading to publications in respected journals. His proficiency in exploring complex mathematical models underlines his ability to address challenging research problems effectively.

Notable Publications

On (p,n)-Laplace Schrödinger equations with Stein-Weiss convolution parts in Rn
Author: Deepak Kumar Mahanta; Patrick Winkert
Journal: Applied Mathematics Letters
Year: 2026

On coupled nonlocal Schrödinger–Kirchhoff system with singular exponential nonlinearity in RN
Author: Deepak Mahanta; Tuhina Mukherjee; Thin Nguyen
Journal: Electronic Journal of Qualitative Theory of Differential Equations
Year: 2025

Existence and multiplicity of solutions for a class of quasilinear anisotropic elliptic systems via fibering method
Author: Deepak Kumar Mahanta
Journal: The Journal of Analysis
Year: 2025

Degenerate Schrödinger-Kirchhoff (p,N)-Laplacian problem with singular Trudinger-Moser nonlinearity in ℝ^N
Author: Deepak Kumar Mahanta; Tuhina Mukherjee; Abhishek Sarkar
Journal: Forum Mathematicum
Year: 2024

Conclusion

Deepak Kumar Mahanta exemplifies a blend of academic excellence, research innovation, and teaching competence. His educational foundation, research contributions, and professional activities underscore his dedication to advancing mathematical sciences. By engaging in rigorous studies, producing impactful publications, and participating in academic events, he continues to enhance his expertise and contribute to the global research community. His achievements in both theoretical and applied mathematics position him as a promising scholar with the capability to address complex mathematical challenges, inspire students, and foster academic growth. His career trajectory reflects a commitment to knowledge, collaboration, and scholarly excellence.

Kanika | Mathematics | Best Researcher Award

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Ms. Kanika | Mathematics | Best Researcher Award

National Institute of Technology, Agartala, India

Author Profile

GOOGLE SCHOLAR

🎓 EARLY ACADEMIC PURSUITS

Ms. Kanika laid a strong foundation in science and mathematics through her formal education in Haryana. Her academic interests matured further during her undergraduate studies in Mathematics, Physics, and Computer Science at Banasthali Vidyapith, Rajasthan. Recognizing her aptitude in mathematical sciences, she pursued a Master’s degree in Mathematics and Computing from the National Institute of Technology (NIT), Agartala. These formative years were instrumental in shaping her analytical abilities and fueling her passion for solving real-world challenges through mathematical principles.

🏢 PROFESSIONAL ENDEAVORS

Kanika’s academic path is enriched by practical engagements in computing and research. She contributed to the development of an Admission Management System during her undergraduate years, streamlining administrative processes and enhancing digital access in higher education institutions. At NIT Agartala, her postgraduate thesis focused on portfolio optimization under uncertainty, guided by Prof. Debasish Bhattacharya, aligning theoretical research with financial applications.

📚 CONTRIBUTIONS AND RESEARCH FOCUS IN MATHEMATICS

Ms. Kanika’s research interests are deeply rooted in applied mathematics, with a focus on:

  • Optimization Techniques

  • Uncertainty Theory

  • Graph Theory

  • Numerical Analysis

  • Scientific Computing

  • Machine Learning Integration

Her postgraduate research proposed a novel uncertain mean semi-absolute deviation model for portfolio optimization problems. This work introduced a new approach to evaluating financial risk and return under uncertain environments, incorporating transaction costs and cardinality limitations—contributing significantly to computational finance and mathematical modeling in economics.

🏅 ACADEMIC CITATIONS, ACCOLADES AND RECOGNITION

  • Selected for national-level mathematics training programs including MTTS (IISER-Thiruvananthapuram)

  • Qualified prestigious entrance examinations like IIT JAM, BHU M.Sc. Entrance, and NCERT CEE

  • Recognized by Association of Mathematics Teachers of India (AMTI) through the NMTC

  • Invited for oral presentations on mathematics applications at institutional conclaves

  • Active participation in academic workshops such as:

    • Mathematics: Concepts, Motivation and Applications

    • Research Trends in Mathematics and Technology

    • DigitALL: Innovation and Technology for Gender Equality

🌍 IMPACT AND INFLUENCE

Kanika’s work contributes to evidence-based decision-making in uncertain and data-intensive environments. Her models provide a deeper understanding of risk-return trade-offs, offering potential benefits for both individual investors and institutional finance sectors. With her multidisciplinary approach, she bridges mathematical modeling and machine learning, aiming to impact fields such as financial technology, predictive analytics, and strategic investment planning.

🧭 LEGACY AND FUTURE CONTRIBUTIONS

Kanika envisions her academic journey extending into impactful research that unifies mathematics with artificial intelligence, addressing real-world uncertainty problems in finance, healthcare, and public systems. She is committed to expanding her research into data-driven optimization, contributing to academic literature, mentoring students, and fostering mathematical thinking across disciplines.

 ✅CONCLUSION

Ms. Kanika represents a new era of mathematically-grounded, forward-thinking researchers. With her strong foundation, interdisciplinary orientation, and commitment to societal problem-solving, she is poised to make enduring contributions in academia, applied research, and scientific innovation.

🔬NOTABLE PUBLICATION:

Prediction of eco sustainability component using fuzzy Z numbers based ratio analysis and interval type 3 fuzzy logic system
Authors: A. Tarafdar, Kanika, A. Shaikh, P. Majumder, D. Pamucar, V. Simic, U.K. Bera
Journal: Journal of Cleaner Production
Year: 2024

Portfolio adjusting model using uncertainty theory: an application to real finance market
Authors: S. Chhatri, D. Bhattacharya, S. Priyadarshini, K. Kanika
Journal: 2023 IEEE Silchar Subsection Conference (SILCON)
Year: 2023

KANIKA | Mathematics | Best Researcher Award

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Dr. KANIKA | Mathematics | Best Researcher Award

Shoolini University of Biotechnology and Management Sciences- India

Author Profile

Early Academic Pursuits

Kanika Dhawan embarked on her academic journey with a strong foundation in Mathematics. Beginning with her Bachelor’s degree from Government Arya Degree College, Nurpur, Kanika consistently excelled, laying the groundwork for her future academic endeavors. She pursued a Master’s degree in Mathematics from Himachal Pradesh University, where her passion for mathematical research began to flourish. This led her to complete an M.Phil. in Mathematics and subsequently, a Ph.D. at the National Institute of Technology, Hamirpur, focusing on the existence and stability of solutions for fractional differential equations.

Professional Endeavors

As an Assistant Professor at Yognanada School of AI, Computer and Data Science, Shoolini University, Solan, Kanika Dhawan combines her research expertise with a commitment to teaching excellence. Her career objective underscores her dedication to contributing significantly to her field through continuous learning and impactful teaching methodologies.

Contributions and Research Focus

Kanika’s research primarily revolves around fractional differential equations and fixed point theory. Her notable contributions include publications in esteemed journals such as Qualitative Theory of Dynamics Systems and Bulletin des Sciences Mathematiques. These publications explore various aspects of fractional differential equations, demonstrating Kanika’s proficiency in theoretical analysis and mathematical modeling.

Accolades and Recognition

Kanika Dhawan’s academic prowess has been recognized through several accolades. Notably, she achieved a high rank in the Graduate Aptitude Test in Engineering (GATE) in Mathematical Sciences and has qualified the State Eligibility Test (SET) in Mathematical Sciences. Her research has been published in SCI and SCOPUS indexed journals, highlighting her impact in the mathematical community.

Impact and Influence

Through her research, Kanika has contributed significantly to advancing the understanding of fractional differential equations and their applications. Her work on stability, boundary value problems, and qualitative analysis has broad implications across various scientific and engineering disciplines, impacting both theoretical frameworks and practical implementations.

Legacy and Future Contributions

Looking ahead, Kanika Dhawan aims to continue her research trajectory, further exploring the complexities of fractional calculus and its interdisciplinary applications. Her future contributions are expected to deepen our understanding of mathematical theories and enhance their practical relevance in real-world scenarios.Kanika Dhawan’s journey exemplifies a dedication to academic excellence and a profound commitment to advancing mathematical research and education. Her interdisciplinary approach and rigorous methodologies promise continued innovation and impact in the field of mathematics.

Citations

A total of 44 citations for his publications, demonstrating the impact and recognition of his research within the academic community.

  • Citations         44
  • h-index           8
  • i10-index        5

Notable Publications 

Qualitative analysis of coupled fractional differential equations involving Hilfer derivative

K Dhawan, RK Vats, RP Agarwal
Analele ştiinţifice ale Universităţii” Ovidius” Constanţa. Seria Matematică …
Approximate controllability of delay nonautonomous integro‐differential system with impulses

A Kumar, RK Vats, K Dhawan, A Kumar
Mathematical Methods in the Applied Sciences
Analysis of neutral fractional differential equation via the method of upper and lower solution

K Dhawan, RK Vats, V Vijayakumar
Qualitative theory of dynamical systems
Well-posedness and Ulam-Hyers stability of Hilfer fractional differential equations of order (1, 2] with nonlocal boundary conditions

K Dhawan, RK Vats, AK Nain, A Shukla
Bulletin des Sciences Mathématiques
Well-posedness of a nonlinear Hilfer fractional derivative model for the Antarctic circumpolar current

HM Srivastava, K Dhawan, RK Vats, AK Nain
Zeitschrift für angewandte Mathematik und Physik
Analyzing Single and Multi-valued Nonlinear Caputo Two-Term Fractional Differential Equation With Integral Boundary Conditions

RK Vats, K Dhawan, V Vijayakumar
Qualitative Theory of Dynamical Systems