Sachin Pathak | Mathematics | Best Research Award

Dr. Sachin Pathak | Mathematics | Best Research Award

NIIT UNIVERSITY, India

Author Profile

📚Early Academic Pursuits

Sachin Pathak’s academic journey is a testament to his dedication and passion for mathematics. His early academic years were spent at Dr. Bhimrao Ambedkar University in Agra, where he completed his Bachelor of Science in Mathematics, with a focus on Mathematics, Physics, and Chemistry. Despite a modest percentage of 58.22%, his passion for mathematics never waned, setting the foundation for his future endeavors in the field.After completing his undergraduate studies in 2012, Sachin pursued a Master’s degree in Mathematics at the prestigious Indian Institute of Technology (IIT) Kanpur. Here, he delved deep into pure mathematics, achieving a CPI of 8.1/10, which reflects his strong grasp of the subject. This phase of his education provided him with a solid foundation in various mathematical disciplines, fueling his desire to contribute to the field through research.

🧑‍🏫Professional Endeavors 

Sachin Pathak’s professional career began to take shape with his doctoral studies at the Indian Institute of Technology (IIT) Patna, where he earned his Ph.D. in Mathematics in 2021. Under the guidance of Prof. Ashish Kumar Upadhyay and Prof. Hai Q. Dinh, he focused on “Linear Codes over Single and Mixed Alphabets and Their Applications in Constructing Quantum Codes.” This research not only honed his expertise in algebraic coding theory but also opened new avenues in quantum computing, a field of growing importance in the modern technological landscape.His professional journey is marked by a series of academic roles at various esteemed institutions. Sachin’s first postdoctoral position was at IIIT Delhi, where he worked as a Postdoctoral Researcher in Mathematics from November 2021 to April 2022. During this period, under the supervision of Prof. Anuradha Sharma, he worked on developing efficient homomorphic secret sharing schemes, with applications in public health. This project highlighted his ability to bridge theoretical mathematics with real-world applications, particularly in the critical area of public health.In April 2022, Sachin transitioned to an Assistant Professor role at GITAM University, Bangalore. Although his tenure there was brief, lasting only until June 2022, it was a significant step in his academic career, allowing him to refine his teaching skills and further develop his research interests.Currently, Sachin is an Assistant Professor in the Department of Mathematics & Basic Sciences at NIIT University, Neemrana. Since joining in June 2022, he has been an integral part of the academic community, contributing to both teaching and research in mathematics.

🔍Contributions and Research Focus

Sachin Pathak’s research interests lie primarily in Algebra, Algebraic Coding Theory, and Number Theory. His doctoral research on linear codes over single and mixed alphabets and their applications in quantum codes is a significant contribution to the field, particularly in the context of quantum computing. This area of study is crucial for the development of secure communication systems in the era of quantum technology.Beyond his Ph.D. research, Sachin has continued to explore the intersections of mathematics and technology. His work on homomorphic secret sharing schemes is a notable example, demonstrating his commitment to applying mathematical principles to solve real-world problems. This research is particularly relevant in today’s context, where data privacy and security are of paramount importance.

🏆Accolades and Recognition

Sachin Pathak’s academic and research contributions have not gone unnoticed. Although specific awards and recognitions are not mentioned in his profile, his progression through some of India’s most prestigious institutions, such as IIT Kanpur and IIT Patna, is itself a recognition of his academic prowess. His collaboration with renowned professors and his role as a postdoctoral researcher at IIIT Delhi further underscore his standing in the academic community.

🌍Impact and Influence

Sachin’s work has the potential to make a significant impact on both the academic world and society at large. His research in algebraic coding theory and quantum codes is at the cutting edge of technological advancement, contributing to the development of more secure communication systems. In an era where quantum computing is set to revolutionize various industries, Sachin’s contributions are timely and critical.Moreover, his involvement in developing homomorphic secret sharing schemes has direct applications in public health, showcasing his ability to apply abstract mathematical concepts to pressing global issues. This dual focus on theoretical research and practical application positions Sachin as a key figure in the field of applied mathematics.

🌟Legacy and Future Contributions

Looking ahead, Sachin Pathak is poised to leave a lasting legacy in the field of mathematics. As an Assistant Professor at NIIT University, he is in a prime position to influence the next generation of mathematicians and researchers. His continued research in algebraic coding theory and its applications in quantum computing will likely lead to further breakthroughs, contributing to the advancement of secure communication technologies.In addition to his research, Sachin’s commitment to teaching ensures that his knowledge and expertise will be passed on to future scholars. His ability to integrate complex mathematical theories with real-world applications makes him an inspiring figure for students and colleagues alike.

Citations

A total of 45 citations for his publications, demonstrating the impact and recognition of his research within the academic community.

  • Citations         45
  • h-index           14
  • i10-index        5

Notable Publications 

  • Title: Z4Z4Z4-additive cyclic codes are asymptotically good
    Authors: H.Q. Dinh, B.P. Yadav, S. Pathak, A.K. Upadhyay, W. Yamaka
    Journal: Applicable Algebra in Engineering, Communications and Computing
    Year: 2024.
  • Title: On the hulls of cyclic codes of oddly even length over Z4
    Authors: S. Pathak, A. Sharma
    Journal: Discrete Mathematics
    Year: 2024.
  • Title: A study of QECCs and EAQECCs construction from cyclic codes over the ring Fq+ v1Fq+ v2Fq+ ⋯ + vsFq
    Authors: O.P. Pandey, S. Pathak, A.K. Shukla, V. Mishra, A.K. Upadhyay
    Journal: Quantum Information Processing
    Year: 2024.
  • Title: F2[u] F2[u] -additive cyclic codes are asymptotically good
    Authors: H.Q. Dinh, B.P. Yadav, S. Pathak, A.K. Upadhyay, W. Yamaka
    Journal: Journal of Applied Mathematics and Computing
    Year: 2023.
  • Title: On a class of skew constacyclic codes over mixed alphabets and applications in constructing optimal and quantum codes
    Authors: H.Q. Dinh, T. Bag, K. Abdukhalikov, R. Bandi, W. Chinnakum
    Journal: Cryptography and Communications
    Year: 2023.

Julee Shahni | Mathematics | Best Researcher Award

Dr. Julee Shahni | Mathematics | Best Researcher Award

Patna Women’s College Patna- India

Author Profile

🎓Early Academic Pursuits

Dr. Julee Shahni’s academic journey began at D.K.C. Residential High School in Bhojpur, Bihar, where she excelled with an impressive 89.3% in her Secondary School Examination (2009-2010). She continued her education at T.S. College, Hisua, Bihar, achieving 77.6% in her Intermediate of Science (2010-2012). Her passion for mathematics led her to Patna Women’s College, Patna University, where she completed her B.Sc. in Mathematics with 81.75% (2012-2015). Dr. Shahni pursued her M.Sc. in Mathematics at the Central University of South Bihar, Patna, scoring 81.6% (2015-2017). She then earned her Ph.D. in Mathematics from Birla Institute of Technology, Mesra, Ranchi, Jharkhand, with an impressive 87.5% (2018-2023).

👩‍🏫Professional Endeavors

Dr. Shahni’s professional career took a significant leap when she joined Patna Women’s College as an Assistant Professor of Mathematics in October 2023. In this role, she teaches courses such as Numerical Analysis, Numerical Methods Lab, Matrix Theory, and Vector Analysis. Her teaching philosophy emphasizes creating a supportive learning environment and fostering strong communication and interpersonal skills among her students.

📚Contributions and Research Focus

Dr. Shahni’s research specialization includes numerical methods for singular boundary value problems, nonlinear singular local/nonlocal boundary value problems, and differential and integral equations. Her notable research publications in prestigious journals reflect her expertise and contributions to the field:

  1. Journal of Computational Science – “A novel collocation approach using Chebyshev wavelets for solving fourth-order Emden-Fowler type equations” (2024).
  2. Journal of Computational and Applied Mathematics – “Numerical solution and error analysis of the Thomas-Fermi type equations with integral boundary conditions by the modified collocation techniques” (2024).
  3. Mathematics and Computers in Simulation – “An efficient numerical approach for solving three-point Lane-Emden-Fowler boundary value problem” (2023).
  4. Applied Numerical Mathematics – “Bernoulli collocation method for the third-order Lane-Emden-Fowler boundary value problem” (2023).
  5. Journal of Mathematical Chemistry – “Bernstein and Gegenbauer-wavelet collocation methods for Bratu-like equations arising in electrospinning process” (2021).

🏅Accolades and Recognition

Dr. Shahni’s academic excellence has been recognized through various scholarships and awards, including the INSPIRE Scholarship (2012-2017), INSPIRE Junior Research Fellowship (2018-2020), and INSPIRE Senior Research Fellowship (2020-onward). She has also earned several certifications, such as the “Excellence in Peer Review: How to be an effective peer reviewer” by Taylor and Francis and participated in numerous workshops and colloquiums.

🌟Impact and Influence

Dr. Shahni’s impact extends beyond her research publications and teaching responsibilities. She has actively participated in several national and international conferences, including the 3rd International Conference on Frontiers in Industrial and Applied Mathematics (2020) and the International Conference on Advances in Differential Equations and Numerical Analysis (2020). Her contributions to the academic community are further evidenced by her membership and active participation in platforms like ResearchGate, GoogleScholar, ORCiD, and LinkedIn.

🔮Legacy and Future Contributions

Dr. Julee Shahni’s dedication to advancing the field of mathematics and her commitment to nurturing the next generation of mathematicians set a strong foundation for her future contributions. With her robust research background and a passion for teaching, Dr. Shahni is poised to make significant advancements in numerical analysis and differential equations. Her continuous involvement in high-quality research, active participation in academic conferences, and dedication to student success ensure that her legacy will inspire future mathematicians.

Citations

A total of 123 citations for his publications, demonstrating the impact and recognition of his research within the academic community.

  • Citations         123
  • h-index           13
  • i10-index         6

Notable Publications

  • Title: Numerical solution and error analysis of the Thomas-Fermi type equations with integral boundary conditions by the modified collocation techniques Authors: Julee Shahni, Randhir Singh Journal: Journal of Computational and Applied Mathematics Year: 2024 Volume: 441 Article: 115701
  • Title: A novel collocation approach using Chebyshev wavelets for solving fourth-order Emden-Fowler type equations Authors: Julee Shahni, Randhir Singh Journal: Journal of Computational Science Year: 2024 Volume: 77 Article: 102243
  • Title: New algorithm based on Hermite wavelets and Green’s function to solve Thomas-Fermi type differential equations Authors: Vivek, Kumar M., Julee Shahni Journal: Numerical Heat Transfer, Part B: Fundamentals Year: 2024 Article: In Press
  • Title: An efficient numerical approach for solving three-point Lane-Emden-Fowler boundary value problem Authors: Julee Shahni, Randhir Singh, Carlo Cattani Journal: Mathematics and Computers in Simulation Year: 2023 Volume: 210 Pages: 1–16
  • Title: Bernoulli collocation method for the third-order Lane-Emden-Fowler boundary value problem Authors: Julee Shahni, Randhir Singh, Carlo Cattani Journal: Applied Numerical Mathematics Year: 2023