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

DEEPAK KUMAR SINGH | Mathematics | Best Researcher Award

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Dr. DEEPAK KUMAR SINGH | Mathematics | Best Researcher Award

Banaras Hindu University- India

Author Profile

Early Academic Pursuits

CURRICULUM VITAE: Dr. Deepak Kumar Singh’s academic journey began with a solid foundation in the sciences. Born on March 24, 1997, Dr. Singh completed his early education in the Uttar Pradesh (U.P.) Board, Allahabad. He excelled in both high school and intermediate exams, scoring 75.16% and 78.20% respectively, with a focus on science subjects. This strong academic background laid the groundwork for his future pursuits in mathematics.After high school, Dr. Singh enrolled at the University of Allahabad, where he earned his Bachelor of Science (B.Sc.) in Mathematics in 2015, graduating with a commendable 73.11%. His passion for mathematics drove him to further his studies, and he subsequently completed his Master of Science (M.Sc.) in Mathematics at the same university in 2017, achieving an impressive 81.4%.

Professional Endeavors

Dr. Deepak Kumar Singh is currently a Research Scholar in the Department of Mathematics at the Institute of Science, Banaras Hindu University (BHU), Varanasi, India. His academic journey at BHU culminated in the submission of his Ph.D. thesis in 2024, marking a significant milestone in his professional career. Throughout his doctoral studies, Dr. Singh’s research was supervised by esteemed faculty members, ensuring a rigorous and comprehensive exploration of his chosen field.

Contributions and Research Focus

Dr. Singh’s research interests are diverse and impactful, encompassing wavelet analysis, approximation theory, differential and integral equations, and numerical analysis. These areas are critical in advancing both theoretical and applied mathematics. His work in wavelet analysis, for instance, contributes to signal processing and data compression, while his studies in approximation theory provide insights into numerical methods for solving complex mathematical problems.Dr. Singh’s expertise in differential and integral equations is particularly noteworthy, as these equations are fundamental to many scientific and engineering applications. His contributions to numerical analysis, meanwhile, involve developing and refining algorithms to solve mathematical problems efficiently and accurately.

Accolades and Recognition

Dr. Deepak Kumar Singh’s academic excellence has been recognized through several prestigious achievements. He qualified for the CSIR NET in Mathematical Science in December 2019, demonstrating his proficiency and deep understanding of the subject. Additionally, in 2023, he was selected as a Government Lecturer in Mathematics through the Bihar Public Service Commission (BPSC), highlighting his capability to contribute to education and mentor the next generation of mathematicians.

Impact and Influence

Dr. Singh’s work has a profound impact on the mathematical community and beyond. His research in wavelet analysis and numerical methods is essential for various practical applications, including signal processing, image compression, and solving differential equations in engineering and physical sciences. By developing new algorithms and theoretical frameworks, Dr. Singh has advanced the field of mathematics and provided tools that other researchers and practitioners can utilize.His role as a Government Lecturer in Mathematics also positions him as an influential educator, where he can inspire and guide students towards academic and professional success in mathematics.

Legacy and Future Contributions

Looking forward, Dr. Deepak Kumar Singh’s contributions to mathematics are expected to leave a lasting legacy. His work in wavelet analysis and numerical methods will continue to influence research and practical applications in various fields. As an educator, he will play a pivotal role in shaping the future of mathematics education, fostering a new generation of thinkers and problem-solvers.Dr. Singh’s ongoing research and potential future projects promise to further enrich the field of mathematics. His commitment to advancing mathematical knowledge and his dedication to teaching ensure that his impact will be felt for years to come.

Abhishek Yadav | Mathematics | Best Researcher Award

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Mr. Abhishek Yadav | Mathematics | Best Researcher Award

K K BIRLA BITS Pilani, Goa Campus- India

Author Profile

Early Academic Pursuits

Abhishek Yadav, an Indian national born on September 8, 1992, has demonstrated a profound commitment to the field of mathematics from a young age. His academic journey began at Seth Shiv Lal Public School, Panthroli, where he completed his matriculation with a notable percentage of 74.17% in 2008. He continued his secondary education at Shaheed Colonel J P Janu Govt. Sr. Sec. School, Jhunjhunu, securing a percentage of 70.91% in 2010. Yadav’s dedication to mathematics became more evident as he pursued his Bachelor of Science degree in Science at Shri Radheshyam R. Morarka Govt. College, Jhunjhunu, achieving an impressive 70.95% in 2014. This solid foundation propelled him to further his studies at the prestigious Indian Institute of Technology Delhi (IIT Delhi), where he earned a Master of Science in Mathematics with a CGPA of 6.55 in 2017.

Professional Endeavors

Upon completing his M.Sc., Abhishek Yadav embarked on his Ph.D. journey at BITS Pilani KK Birla Goa Campus under the supervision of Prof. Amit Setia. His research focused on numerical analysis, specifically the “Numerical Method to Solve Singular Integral Equations with Its Application to Crack Problems.” During his Ph.D., Yadav also served as a Teaching Assistant, where he imparted knowledge in courses such as Probability and Statistics, Mathematics I (Calculus), and Mathematics II (Linear Algebra and Complex Analysis) to B.Tech and M.Sc. students. Additionally, he mentored students in the B.Sc. Online Wilp course and evaluated papers in Calculus, Linear Algebra, and Probability & Statistics.

Contributions and Research Focus

Abhishek Yadav’s research interests lie in Singular Integral Equations, Residual-Based Galerkin Scheme, Finite Element Method, and Differential Equations. His contributions to the field are evidenced by his publications in reputable journals. In 2023, he co-authored papers such as “ERROR ANALYSIS OF A RESIDUAL-BASED GALERKIN’S METHOD FOR A SYSTEM OF CAUCHY SINGULAR INTEGRAL EQUATIONS WITH VANISHING ENDPOINT CONDITIONS” and “ERROR ANALYSIS OF CHEBYSHEV POLYNOMIAL-BASED NUMERICAL METHOD FOR SYSTEM OF HYPERSINGULAR INTEGRAL EQUATIONS.” His work continued in 2024 with a significant publication, “A GEGENBAUER POLYNOMIAL-BASED NUMERICAL TECHNIQUE FOR A SINGULAR INTEGRAL EQUATION OF ORDER 4 AND ITS APPLICATION TO A CRACK PROBLEM,” which highlighted innovative numerical techniques and their applications.

Accolades and Recognition

Abhishek Yadav’s academic excellence is reflected in his numerous achievements. He ranked 147th in the CSIR-UGC JRF-June 2018, 600th in GATE 2017, and 203rd in IIT JAM-2014. His proficiency in both applied and pure mathematics is complemented by his skills in teaching, research, and experiments. Yadav is also adept with various technical tools such as LATEX, MS Word, Matlab, C, Mathematica, and Octave.

Impact and Influence

Throughout his academic and professional journey, Abhishek Yadav has participated in several workshops and faculty development programs (FDPs). Notably, he attended the Advanced Training School on Numerical PDEs and Inverse Problems at IIT Tirupati in December 2019 and the FDP on Advances in Non-linear Dynamics: Method and Applications (ANDMA 2024) organized by VIT-AP in June 2024. These experiences have enriched his understanding and expertise, allowing him to make significant contributions to the field of mathematics.

Legacy and Future Contributions

Abhishek Yadav’s legacy in the field of mathematics is marked by his innovative research and dedication to education. His work on numerical algorithms and theoretical ones has provided significant results, enhancing the understanding and application of mathematical concepts. As he continues his research, Yadav aims to explore new frontiers in numerical analysis and differential equations, contributing to the advancement of mathematical knowledge.