Ankur Singh | Mathematics | Young Scientist Award

Dr. Ankur Singh | Mathematics | Young Scientist Award

Assistant Professor from PDEU Gandhinagar, India

Dr. Ankur Singh is an accomplished Assistant Professor (Grade-I) in the Department of Mathematics at Pandit Deendayal Energy University, India. With a Ph.D. in Mathematics from the Indian Institute of Technology (ISM) Dhanbad, he specializes in Algebraic Coding Theory and Number Theory. His research primarily focuses on self-dual codes, quantum codes, and the intricate relationship between lattices and modular forms. Dr. Singh has a robust academic and research background complemented by hands-on experience in teaching undergraduate and postgraduate courses. He has supervised Ph.D. students and actively contributes to organizing academic workshops and conferences. His publications appear in reputable journals covering topics like self-dual codes over finite rings, Jacobi forms, and theta series. Dr. Singh has received funding for research projects, including a significant grant on quantum error-correcting codes from the National Board for Higher Mathematics (NBHM), Government of India. He is a life member of prominent mathematical societies and proficient in using advanced mathematical tools like Mathematica, Sage, and Magma. His work bridges theoretical mathematics with practical applications in coding and cryptography, marking him as a promising candidate for recognition as a young scientist.

Professional Profile

Education

Dr. Ankur Singh completed his Ph.D. in Pure Mathematics at the Indian Institute of Technology (ISM), Dhanbad, in 2020, earning a CGPA of 8.00. His doctoral research focused on codes over finite commutative local rings, lattices induced from codes, theta series, and modular forms. Prior to his Ph.D., he completed his Master of Science in Mathematics at the Indian Institute of Technology Madras in 2013, securing a CGPA of 7.53. His M.Sc. work included complex analysis under the supervision of Prof. M.T. Nair. Dr. Singh holds a Bachelor of Science degree in Mathematics, Physics, and Chemistry from Ewing Christian College, Allahabad (University of Allahabad), completed in 2010 with a commendable 67.67%. His foundational education includes completion of high school studies with strong academic performance in the state of Uttar Pradesh, India. Throughout his academic journey, Dr. Singh has consistently qualified competitive examinations such as GATE and JAM in Mathematics, showcasing his strong mathematical aptitude and theoretical knowledge.

Professional Experience

Dr. Singh currently serves as an Assistant Professor (Grade-I) at Pandit Deendayal Energy University, where he teaches various undergraduate and postgraduate mathematics courses, including Numerical Methods, Linear Algebra, and Discrete Mathematics. Since November 2022, he has been engaged in both teaching and research, mentoring Ph.D. students and coordinating workshops on the applications of mathematics in machine learning. Prior to this, he worked as a faculty member at VIT-AP University from 2019 to 2022, teaching advanced mathematical topics such as Applied Linear Algebra and Differential Equations. During his Ph.D. tenure at IIT (ISM) Dhanbad, Dr. Singh was a Junior and then Senior Research Fellow, where he also served as a teaching assistant, supervising tutorials and laboratory courses. His professional roles have consistently blended teaching, research, and academic leadership, demonstrating his capability to foster knowledge dissemination and contribute to the advancement of mathematical sciences.

Research Interests

Dr. Singh’s research interests lie predominantly in Algebraic Coding Theory and Number Theory. He specializes in the study and construction of self-dual codes, including Type I and Type II codes over finite rings, and their applications in quantum coding and DNA coding. His work extends to the construction of lattices induced from codes and the analysis of their theta series and modular forms such as Jacobi forms and Siegel upper half-plane forms. He also investigates quantum synchronizable codes and explores the relationships between complete weight enumerators and theta series over various number fields. His research integrates deep theoretical mathematics with practical coding applications, particularly in error-correcting codes, cryptography, and quantum information science. This blend of abstract algebra, geometry, and computational tools positions his work at the cutting edge of coding theory and mathematical research.

Research Skills

Dr. Singh is proficient in advanced mathematical software and tools including Mathematica, Sage, and Magma, which he employs for symbolic computations, code construction, and algebraic manipulations. His expertise encompasses coding theory techniques such as generator matrix construction, weight enumerators, and code optimality assessments. He is skilled in analyzing algebraic structures over finite rings and fields and in exploring modular and Jacobi forms within number theory. Additionally, Dr. Singh has experience in supervising mathematical research and guiding Ph.D. candidates, showing strong mentoring and academic leadership abilities. His familiarity with applied mathematics and computational methods allows him to bridge pure mathematics with real-world applications, particularly in cryptography and quantum error correction. This diverse skill set enhances his capability to conduct innovative research and contribute meaningfully to both theoretical and applied mathematical sciences.

Awards and Honors

Dr. Ankur Singh has been the recipient of several prestigious awards and funding grants throughout his career. Notably, he secured a research project grant from the National Board for Higher Mathematics (NBHM), Department of Atomic Energy, India, for the period 2025–2028, focusing on maximum distance separable quantum error-correcting codes. He has also received funding support from the Gujarat DST to organize a workshop on Applications of Mathematics in Machine Learning (AMMLA-2025). His research excellence was recognized early with a Senior Research Fellowship and Junior Research Fellowship at IIT (ISM) Dhanbad. He qualified highly competitive national examinations, including GATE and JAM in Mathematics. Dr. Singh’s memberships include life membership in the Indian Mathematical Society and the Society of Applied Mathematics. His travel grant from NBHM enabled him to participate in international research schools, underscoring his active engagement with the global mathematics community.

Conclusion

Dr. Ankur Singh’s impressive academic background, extensive research contributions, and active involvement in both teaching and organizing scholarly activities mark him as a strong candidate for the Young Scientist Award. His work in algebraic coding theory and number theory is both theoretically profound and practically significant, particularly in emerging fields such as quantum error correction and cryptography. Supported by notable grants and recognized by his peers, Dr. Singh demonstrates the qualities of a promising young researcher with the potential to make impactful advances in mathematics. Continued support and recognition would further empower him to expand his research, foster collaborations, and contribute to the development of innovative mathematical tools and techniques. Overall, Dr. Singh exemplifies the blend of academic excellence, research innovation, and leadership that the Young Scientist Award seeks to honor.

Publication Top Notes

  1. Type I and Type II codes over the ring
    Authors: Ankur, PK Kewat
    Journal: Asian-European Journal of Mathematics, 12(02), Article 1950025
    Year: 2019
    Citations: 2

  2. Self-dual codes over the ring and Jacobi forms
    Author: Ankur
    Journal: Asian-European Journal of Mathematics, 10(03), Article 1750055
    Year: 2017
    Citations: 2

  3. Diagnosis of Parkinson disease patients using Egyptian vulture optimization algorithm
    Authors: A Dixit, A Sharma, A Singh, A Shukla
    Conference: International Conference on Swarm, Evolutionary, and Memetic Computing, pp. 92-103
    Year: 2015
    Citations: 2

  4. Binary self-dual codes and Jacobi forms over a totally real subfield of
    Authors: Ankur, PK Kewat
    Journal: Applicable Algebra in Engineering, Communication and Computing, 34(3), pp. 377-392
    Year: 2023
    Citations: 1

  5. Type I and Type II codes over the ring
    Author: Ankur
    Journal: Arabian Journal of Mathematics, 9(1), pp. 1-7
    Year: 2020
    Citations: 1

  6. Construction of lattices over the real sub-field of ℚ(ς8) for block fading (wiretap) coding
    Authors: A Singh, P Kumar, A Shukla
    Journal: Discrete Mathematics, Algorithms & Applications, 17(4)
    Year: 2025

  7. A Review: On Special type of Quantum Error Correcting Codes
    Authors: UU Shinde, A Singh
    Journal: Discrete Mathematics, Algorithms and Applications
    Year: 2025

  8. Fuzzy-Based Security Assurance Framework Considering Uncertainty
    Authors: A Shukla, A Singh, B Katt, MM Yamin, S Pirbhulal, H Garg
    Book Chapter: Computational Modeling and Sustainable Energy: Proceedings of ICCMSE 2023, p. 115
    Year: 2025

  9. Theta series and weight enumerator over an imaginary quadratic field
    Authors: Ankur, KP Shum
    Journal: Asian-European Journal of Mathematics, 14(06), Article 2150098
    Year: 2021

  10. Self-dual codes over and Jacobi forms over a totally real subfield of
    Authors: Ankur, PK Kewat
    Journal: Designs, Codes and Cryptography, 89, pp. 1091-1109
    Year: 2021

  11. Theta series and its relation with the Weight Enumerator
    Author: Ankur
    Journal: ARS COMBINATORIA, 154, pp. 235-244
    Year: 2021

  12. Decomposition of Self-dual Codes Over a Commutative Non-Chain Ring
    Authors: Ankur, PK Kewat
    Journal: Malaysian Journal of Mathematical Sciences, 14(3)
    Year: 2020

  13. Codes over finite commutative local rings and their relation with lattices theta series and Jacobi forms
    Author: Ankur
    Institution: Indian Institute of Technology (ISM) Dhanbad, PhD Thesis
    Year: 2020

  14. SELF-DUAL CODES OVER THE RING F₂^m + uF₂^m + vF₂^m + uvF₂^m
    Author: Ankur
    Journal: Proceedings of the Jangjeon Mathematical Society, 21(4), pp. 617-625
    Year: 2018