Assistant Professor, Uttaranchal University, India
Dr. Ashish Rayal is a dedicated mathematician with a passion for advancing mathematical knowledge through research and teaching. Currently an Assistant Professor at Uttaranchal University, he brings a wealth of experience and innovation to the field of mathematics. His research focuses on wavelets, fractional calculus, and numerical analysis, contributing significantly through publications and patents. With a deep commitment to education and a proven track record of achievements, Dr. Rayal continues to inspire and shape the academic community.
Profile
Scopus
Strengths for the Award
Dr. Rayal’s strengths are evident in several key areas. His research output is substantial, with numerous publications in high-impact journals like Chaos, Solitons & Fractals and Journal of Applied Mathematics and Computing. The breadth of his work—from wavelet solutions to fractional differential equations—highlights his versatility and expertise in contemporary mathematical challenges. His contribution to the field is further underscored by a significant number of patents related to applied technologies, including innovations in renewable energy and smart systems, demonstrating his ability to translate theoretical research into practical applications.
In addition, Dr. Rayal’s engagement in various international and national conferences, workshops, and faculty development programs reflects his ongoing commitment to professional growth and collaboration. His roles as a reviewer and keynote speaker also underscore his influence and recognition within the academic community. Furthermore, his teaching experience and dedication to mentoring students enhance his profile as a well-rounded academic.
Areas for Improvement
While Dr. Rayal’s achievements are commendable, there are areas where he could potentially enhance his profile. Expanding his research into new, emerging areas or interdisciplinary fields could further broaden his impact. For instance, integrating more computational or experimental approaches into his theoretical work might yield additional practical applications. Additionally, increasing collaborations with researchers from other domains or international institutions could provide new perspectives and opportunities for innovative research.
Moreover, Dr. Rayal’s CV could benefit from more detailed descriptions of his roles in various projects and conferences, as well as a clearer articulation of his specific contributions to collaborative works. This would provide a more comprehensive view of his influence and leadership within the research community.
Education 🎓
Dr. Ashish Rayal holds a Ph.D. in Mathematics from Gurukula Kangri (Deemed to be University), Haridwar, awarded in 2021. He completed his M.Sc. in Mathematics from Pt. L.M.S. (P.G) College, Rishikesh, in 2015, and his B.Sc. (PCM) from D.B.S. (P.G) College, Dehradun, in 2013. His academic journey began with matriculation and intermediate studies from U.K. Board, showcasing a consistent record of excellence in mathematics.
Experience 💼
Dr. Rayal has over three years of teaching experience at Gurukula Kangri Vishwavidyalaya and an additional eleven months at Dev Bhoomi Uttarakhand University. He is currently an Assistant Professor at Uttaranchal University, where he continues to foster academic growth and engage with students. His teaching methodology integrates multimedia and interactive techniques to enhance learning outcomes.
Research Interests 🔬
Dr. Rayal’s research interests encompass Wavelets and Their Applications, Fractional Calculus, Approximation Methods, Differential Equations, Fractal-Fractional Operators, Numerical Analysis, Error Analysis, Real Analysis, and Abstract and Linear Algebra. His work often involves developing innovative solutions and computational methods in these areas.
Awards 🏆
- 2020 Best Research Award from NESIN Research Awards for outstanding contributions in mathematics research.
- 2021 Best Faculty Certificate for Excellent General Academic Discipline from Dev Bhoomi Uttarakhand University.
- Recognized as a Reviewer for esteemed journals such as the Iranian Journal of Numerical Analysis and Optimization, and the International Journal of Applied and Computational Mathematics.
Publications Top Notes 📚
Dr. Rayal has published extensively in reputed journals. Notable publications include:
“An approximate wavelets solution to the class of variational problems with fractional order” (2021) in Journal of Applied Mathematics and Computing.
“Numerical analysis of pantograph differential equation of the stretched type associated with fractal-fractional derivatives via fractional order Legendre wavelets” (2020) in Chaos, Solitons & Fractals.
“Two-dimensional Gegenbauer Wavelets for the numerical solution of tempered fractional model of the nonlinear Klein-Gordon equation” (2022) in Applied Numerical Mathematics.
“Numerical Investigation of the Fractional Oscillation Equations under the Context of Variable Order Caputo Fractional Derivative via Fractional Order Bernstein Wavelets” (2023) in Mathematics.
Conclusion
Dr. Ashish Rayal is a highly qualified candidate for the “Best Researcher Award.” His extensive research contributions, significant number of publications, and active participation in academic and professional development reflect a deep commitment to the field of mathematics. While there are opportunities for further growth, particularly in expanding research scope and enhancing collaborative efforts, Dr. Rayal’s achievements and dedication to both theoretical and applied mathematics position him as a leading figure deserving of this recognition.