Prof. Rajendra Kumar Sharma

Dr. R. K. Sharma

ConsenSys Blockchain Chair Professor & Former Head.

Description

Rajendra Kumar Sharma is ConsenSys Blockchain Chair Professor in the higher academic grade(HAG-Level 15), and former Head of Department of Mathematics at the Indian Institute of Technology, Delhi. Earlier, he was on the faculty of mathematics at IIT Khraragpur. He has been teaching UG/PG classes for more than 36 years. He has guided 46 (awarded) Ph.D. and more than 80 M.Tech. projects. He has published more than 200 research papers in international journals. He has participated in several conferences including the coveted International Congress of Mathematicians (ICM) 1994, in Zurich, Switzerland. He has travelled widely and delivered invited talks at several places. He was a postdoctoral fellow in France and Germany for 3 years. Several students are working with him on sponsored projects. Area of Interest His main area of research is Algebra and Cryptography.

 

Thereafter, he joined as Visiting Professor at South Asian University (SAU), Delhi.

At present, he is Professor Emeritus, Delhi Technological University (DTU), Delhi.

Area of Interest His main area of research is Algebra and Cryptography.

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 Presently at Department of Applied Mathematics, Delhi Technological University, Delhi 110042

Earlier at Department of Mathematics Indian Institute of Technology New Delhi 110016

Email: [email protected]

Social Profiles

 MathSciNet: http://www.ams.org/mathscinet/search/author.html?mrauthid=188725

Google Scholar: https://scholar.google.com/citations?hl=en&user=oyu1U-sAAAAJ

ORCID: http://orcid.org/0000-0001-5666-4103

RESEARCHERID: http://www.researcherid.com/rid/C-1234-2018

RESEARCHGATE: http://www.researchgate.net/profile/Rajendra_Sharma_10

SCOPUS: https://www.scopus.com/authid/detail.uri?authorId=56377805700

 

for more details visit

https://sites.google.com/view/prof-r-k-sharma

 ConsenSys Blockchain Chair Professor in the higher academic grade(HAG-Level 15), and

former Head of Department of Mathematics at the Indian Institute of Technology, Delhi

Currently Teaching: 1st semester, 2026-27

1. B,Tech.(1st year): Mathmatics I
2. B.Tech.(3rd year): Number Theory
3. B.Tech.(4th year):Cryptography and Network Security

 Life Membership of Professional Bodies:

1. American Mathematical Society,
2. Allahabad Mathematical Society,
3. Indian Mathematical Society,
4. Cryptology Research Society of India and several other.

1. Category-wise Details of Research Papers Published.

   (a) In Journals: 212

   Some recent Papers Authored/Coauthored

2. R. K. Sharma and Aakash Choudhary. Fields having arithmetic progression of r-primitive k-normal elements with prescribed traces. Contemporary Mathematics (AMS) (to appear).

3. Astha Agrawal and R. K. Sharma. Matrix product additive codes and M-symplectic duality with applications to EAQEC codes. Discrete Mathematics 349(10) (2026), article 115216.

4. Soniya Takshak and Rajendra Kumar Sharma. The Exact Enumeration of 4-nomial and 5-nomial Multiples of the Product of Primitive Polynomials over GF(2). New Zealand Journal of Mathematics (to appear).

5. Kapish Chand Meena, Ambrish Awasthi, and Rajendra Kumar Sharma. LCD and non-LCD (A)MDS DTRS Codes with All Possible Hooks. Advances in Mathematics of Communications 23 (2026), 189–208. DOI: 10.3934/amc.2026019.

6. Aakash Choudhary, Anuj Jakhar, and R. K. Sharma. On the Monogenity of Composed Polynomials. Communications in Algebra (2026). DOI: 10.1080/00927872.2026.2621258.

7. Abhinay Kumar Gupta and R. K. Sharma. Units in the Group Algebra FS3. Ukrainian Mathematical Journal 78, article 6 (2026). DOI: 10.1007/s11253-026-02556-x.

8. Kapish Chand Meena, Maheshanand Bhaintwal, Ambrish Awasthi, and Rajendra Kumar Sharma. Double-twisted Reed-Solomon codes with twists (1, 3) and general hooks over finite fields. Cryptography and Communications 17 (2025), 1543–1567. DOI: 10.1007/s12095-025-00822-6.

9. Praveen Manju, Rajendra Kumar Sharma, (σ, τ )-derivations of group rings with applications, Finite Fields and Their Applications, Vol. 107, (2025), Article 102629, appeared online, Pages- 74

10. N. Abhilash, E. Nandakumar, G. Mittal, and R. K. Sharma. Units of the semisimple group algebras of groups of order 162. Matematicki Vesnik 77(1) (2025), 79–94.

11. Navamanirajan Abhilash, Elumalai Nandakumar, Rajendra Kumar Sharma, and Gaurav Mittal. Structure of the unit group of the group algebras of non-metabelian groups of order 128. Mathematica Bohemica 150(1) (2025), 1–23. DOI: 10.21136/MB.2024.0017-23.

12. Gyanendra K. Verma and R. K. Sharma. Construction of additive complementary dual codes over finite fields. Applicable Algebra in Engineering, Communication and Computing (2025). DOI:10.1007/s00200-025- 00693-7

13. Gyanendra Kumar Verma, R. K. Sharma, On additive Cyclic codes over F4 + uF4, JACODESMATH (2025)

14. Soniya Takshak, Giorgos Kapetanakis, and Rajendra Kumar Sharma. Fq-primitive points on varieties over finite fields. Finite Fields and Their Applications 103 (2025), 102582.

15. Aakash Choudhary, R.K.Sharma, Monogenity of Binomial-Trinomial Composition, Math. Slovaca (revised version submitted).

16. Pooja Gahlyan, Rohit Gupta, R. K. Sharma, New Classes of Permutation Polynomials of Special Form, Journal of Algebra Combinatorics Discrete Structures and Applications (to appear).

17. R. K. Sharma and Amit B. Singh. Unit Nil-Clean and Singular Clean Group Rings. Czechoslovak Mathematical Journal 75 (2025), 645–653. DOI: 10.21136/CMJ.2025.0371-24.

18. Navamanirajan Abhilash, Elumalai Nandakumar, Kattankulathur, Rajendra Kumar Sharma, Gaurav Mittal, Structure of the unit group of the group algebra of non-metabelian groups of order 128, Math. Bohemia. doi: 10.21136/MB.2024.0017-23.

19. Sandeep Malik, R. K. Sharma, The structure of the unit group of F3k (C3 × D2n ) and finite group algebras of groups of order 42, International Electronic Journal of Algebra. doi: 10.24330/ieja.1571446.

20. Sandeep Malik, R. K. Sharma, Meena Sahai, The structure of the unit group of the group algebras F3k D6n and Fq D42, Annales Mathematicae et Informaticae. doi: 10.33039/ami.2024.08.001.

21. Anuradha Sabharwal, Pooja Yadav and R. K. Sharma, Association Schemes for Some Finite Group Rings II, Communications on Applied Nonlinear Analysis, Vol 31, 2024.

22. Praveen Manju, R.K. Sharma, Inner and Outer twisted derivations of cyclic group algebra, Results in Mathematics. published online January 4, 2025 https://doi.org/10.1007/s00025-024-02339-5, Pages- 30

23. Praveen Manju and R. K. Sharma. Derivations of non-commutative group algebras. Journal of Algebra and Its Applications (2025). DOI: 10.1142/S0219498825503712.

24. Sonamani Sahoo and R. K. Sharma. On θ-congruent numbers over real quadratic and multiquadratic number fields. Asian-European Journal of Mathematics (to appear).

25. Praveen Manju, R. K. Sharma, Inner and outer derivations of F V8 n, Advances in Group Theory and Applications,

26. Gyanendra Kumar Verma and R. K. Sharma. Trace dual of additive cyclic codes over finite fields. Cryptography and Communications 16 (2024), 1593–1608.

27. N. Abhlash, E. Nandakumar, G. Mittal, and R.K. Sharma, On the unit group of the semisimple group algebras of groups upto order 144, Palestine journal of mathematics, Vol. 13(2), 2024.

28. Anuradha Sabharwal, Pooja Yadav, and R. K. Sharma. Association Schemes in Encrypting Two-Dimensional Data. Journal of Discrete Mathematical Sciences and Cryptography 28(1) (2025), 161–183.

29. Sivaranjani N.U., E. Nandakumar, Gaurav Mittal, R.K. Sharma, Units of the semisimple group algebras Fq SL(2, 8) and Fq SL(2, 9), Annales Mathematicae et Informaticae, Vol. 59, 2023.

30. Astha Agrawal and R.K. Sharma, Additive one-rank hull codes over finite fields, Finite Fields and Their Applications, Vol. 96, 2024.

31. Sandeep Malik and R. K. Sharma, Describing the group of units of integral groupings ZD8 and ZD12, Asian-European Journal of Mathematics, Vol. 17 (1), 2024, 2350236.

32. Pramod Kanwar, Yogesh Kumar and R. K. Sharma, A note on the structure of F qS5/J(F qS5), International Electronic J Algebra(to appear).

33. Yogesh Kumar and R. K. Sharma. A Note on the Jacobson Radical J(F2nD2m). Ukrainian Mathematical Journal 76, 1430–1434 (2025). DOI: 10.1007/s11253-024-02398-5.

34. R. K. Sharma and Abhinay Kumar Gupta. Characterization of the unit group of the integral group ring Z[G × C2n]. Journal of Algebra and Its Applications 24(2) (2025), 2550064.

35. For complete list visit *

Books Published

1.  Rajendra Kumar Sharma, Sudesh Kumari Shah and Asha Gauri Shankar, Alegebra I: A Basic Course in Algebra, Pearson Education, 2011 .
2.  Rajendra Kumar Sharma, Sudesh Kumari Shah and Asha Gauri Shankar, Complex Numbers, Anthem Press, September 2011 .
3.  Rajendra Kumar Sharma, Introductory Cryptography (Under Preparation).

ConsenSys Blockchain Chair

Current Project:

1. R. K. Sharma and Wagish Shukla, Linear Algebra (Completed) 
2. R. K. Sharma and Kanchan Joshi, Advanced Abstract Algebra (Completed)

1. Ph. D. Guidance: 46 (Awarded)
2. M. Tech. Guidance: 80 (Completed)
3. Ph. D. Guidance (Currently): 2