Indian Institute of Technology, Patna

Dr. Shailesh Kumar Tiwari

Dr. Shailesh Kumar Tiwari

Assistant Professor

Mathematics

Ph.D, Indian Institute of Technology Delhi (2016)

                                Ph: +91-612-302 8074
                            

                                sktiwari[*AT]iitp.ac.in
                            

                                https://scholar.google.co.in/citations?user=74PhajcAAAAJ&hl=en
                            

Research Areas

1. Associative Rings and Algebras
2. Polynomial Identities on Rings
3. Finite Field

Courses taught at IIT P

1. MA001: Preparatory Math I
2. MA 002: Preparatory Math II
3. MA1101 Calculus and linear Algebra
4. MA102: Mathematics II
5. MA217: Algebra
6. MA218: Complex Analysis
7. MA312: Number Theory
8. MA421: Linear Algebra
9. MA424: Complex Analysis
10. MA427: Algebra
11. MA529: Basic Number Theory
12. MA623: Number Theory
13. MA4101 Algebra

Students

Sr. No.	Photo	Area of Reasearch	Degree
1	Mr. Lovepreet Singh (2321MA12) lovepreet_2321ma12@iitp.ac.in	Functional Identities on Rings	Ph.D
2	Ms. Aastha Shukla (2121MA18) aastha_2121ma18@iitp.ac.in	Finite Field	Ph.D
3	Mr. Kaustav Chatterjee (2121MA03) kaustav_2121ma03@iitp.ac.in	Primitive Elements over Finite Fields	Ph.D
4	Ms. Pallavee Gupta (2021MA15) pallavee_2021ma15@iitp.ac.in	Differential Polynomial Identities on Prime Rings	Ph.D

Former Students

Sr. No.	Photo	Area of Reasearch
1	Mr. Lovepreet Singh (2112MA12)	M.Sc student
2	Mr. Pravin S. Gaupale (2112MA15)	M.Sc student
3	Ms. Sumita Gunri (2112MA29)	M.Sc student
4	Ms. Anu Kumari (2012MA05)	M.Sc student
5	Mr. Biswas (2012MA12)	M.Sc student
6	Mr. Chandan Kumar (1912MA04)	M.Sc student
7	Mr. Chappdi Vijaya Chandra Reddy (2212MA08)	M.Sc student

Professional Experience

Research Experience:
1. Post-doctoral Fellow at the Department of Mathematics, Indian Institute of Science Education and Research, Bhopal, INDIA.
2. Post-doctoral Fellow at Department of Mathematics, ICMC-University of Sao Paulo, Sao Carlos BRAZIL.
Teaching Experience:
1. Visiting Assistant Professor at the Department of Mathematics, Ambedkar University Delhi, INDIA.
2. Adjunct Faculty at the Department of Mathematics, Ambedkar University Delhi, INDIA.
Workshop/conference Organized:
1. Annual Foundation School, AFS-II (From 22nd May 2023 to 17th June 2023), (With Dr. N. K. Tomar and Dr. S. K. Singh)
2. Program Coordinator: National Mathematics Day, IIT Patna (22nd December 2021 with Dr. N. K. Tomar and Dr. A. K. Verma)

Administrative Experience

1. Ph.D Coordinator of Department of Mathematics, since January 2024 to till date.
2. Warden, Aryabhatta Hostel (A, B & D Block) at IIT Patna since 16 June 2024 to till date.
3. Warden, Kalam Hostel (A & B wing) at IIT Patna since June 2023 to June 2024.
4. Associate Warden, Kalam Hostel (A & B wing) at IIT Patna since August 2021 to May 2023.
5. Ph.D coordinator of Department of Mathematics since May 2021 to 5 January 2023.
6. DAPC, Secretary of Department of Mathematics since April 2020 to May 2022.

Awards & Honours

1. Postdoctoral Fellowship at Indian Institute of Science Education and Research Bhopal, INDIA.
2. Postdoctoral Fellowship at ICMC-University of Sao Paulo BRAZIL.
3. Received CSIR Senior Research Fellowship at Indian Institute of Technology Delhi.
4. Received CSIR Junior Research Fellowship, at Indian Institute of Technology Delhi.

Publications / Journals

1. (2024) S. K. Tiwari, Pallavee Gupta, Identities involving b-Generalized skew derivations in prime rings acting as Jordan derivation, Communications in Algebra, 52(11), 4612-4630. https://www.tandfonline.com/doi/full/10.1080/00927872.2024.2354425
2. (2024) (2024) Pallavee Gupta, V. De Filippis, S. K. Tiwari, Generalized skew-derivations acting on multilinear polynomial in prime rings, Communications in Algebra, 52(01): 48-78. https://doi.org/10.1080/00927872.2023.2233019
3. (2024) Kaustav Chatterjee, Hariom Sharma, Aastha Shukla, S. K. Tiwari, Arithmetic progression in a finite field with prescribed norms, Forum Mathematicum, https://doi.org/10.1515/forum-2024-0026
4. (2024) Lovepreet Singh, Vincenzo De Filippis, S. K. Tiwari, Identities with b-generalized derivations and generalized skew derivations on prime rings, Asian-Euro. J. of Mathematics, https://www.worldscientific.com/doi/10.1142/S1793557124501171
5. (2024) Pallavee Gupta, S. K. Tiwari, Generalized skew derivations acting as Jordan homomorphism, Annali dell' Università di Ferrara, 70, 1635-1654. https://link.springer.com/article/10.1007/s11565-024-00534-4
6. (2024) V. De Filippis, Pallavee Gupta, S. K. Tiwari, B. Prajapati, Centralizing identities involving generalized derivations in prime rings, Georgian Math. J., https://doi.org/10.1515/gmj-2023-2109
7. (2024) Gupta, P., S. K. Tiwari, Prajapati, B, Identities involving generalized derivations act as Jordan homomorphisms. Indian J Pure Appl Math. 55: 731-748 https://doi.org/10.1007/s13226-023-00407-0
8. (2023), V. De Filippis, S. K. Tiwari, S. K. Singh: Generalized g-derivations on prime rings, Journal of Algebra and Its Applications, 22(02), 2350037. https://www.worldscientific.com/doi/10.1142/S0219498823500378
9. (2023) B. Prajapati, S. K. Tiwari, C. Gupta: b-Generalized derivations act as a multipliers on prime rings, Communications in Algebra, 50(8), 3498-3515 https://www.tandfonline.com/doi/full/10.1080/00927872.2022.2035742
10. (2023) S. K. Tiwari: Product and commuting generalized derivations in prime rings, Rendiconti del Circolo Matematico di Palermo Series 2, 72(02), 1377-1397 https://doi.org/10.1007/s12215-022-00739-6
11. (2022) V. De Filippis, B. Prajapati, S. K. Tiwari: Some generalized identities on prime rings and their application for the solution of annihilating and centralizing problems, Quaestiones Mathematicae, 45 (2), 267-305 https://www.tandfonline.com/doi/abs/10.2989/16073606.2020.1854887
12. (2022) S. K. Tiwari, B. Prajapati: Generalized derivations acting on multilinear polynomials as Jordan Homomorphisms, Ukrainian Mathematical Journal 74: 1134-148 https://link.springer.com/article/10.1007/s11253-022-02125-y
13. (2022) S. K. Tiwari: Identities with generalized derivations in prime rings, Rendiconti del Circolo Matematico di Palermo Series 2, 71, 207-23. https://link.springer.com/article/10.1007/s12215-021-00627-5
14. (2021) B. Prajapati, S. K. Tiwari: Some commutativity theorem on Banach algebra, Rendiconti del Circolo Matematico di Palermo Series 2, 70, 1041-1049. https://link.springer.com/article/10.1007/s12215-020-00543-0
15. (2020) C. Arusha, S. K. Tiwari: A note on generalized derivations as a Jordan homomorphisms, Bulletin Korean Math. Soc., 57 (3): 709-737 http://pdf.medrang.co.kr/kms01/BKMS/57/BKMS-57-3-709-737.pdf
16. (2020) S. K. Tiwari, Sanjay Kumar Singh: A note on generalized derivations with multilinear polynomials in prime rings, Communications in Algebra, 48 (04): 1770-1788 https://www.tandfonline.com/doi/full/10.1080/00927872.2019.1705473
17. (2020) S. K. Tiwari: Identities with Generalized Derivations and Multilinear Polynomials, Bulletin of the Iranian Mathematical Society, 46 (02), 425-440 https://link.springer.com/article/10.1007/s41980-019-00267-7
18. (2019) S. K. Tiwari, B. Prajapati: Centralizing b-generalized derivations on multilinear polynomials, FILOMAT, 33 (19): 6251–6266, http://journal.pmf.ni.ac.rs/filomat/index.php/filomat/article/view/10519
19. (2019) S. K. Tiwari, B. Prajapati: Generalized derivations acts as a Jordan homomorphism on multilinear polynomials, Communications in Algebra, 47 (07): 2777-2797 https://www.tandfonline.com/doi/full/10.1080/00927872.2018.1539174
20. (2019) M. Ashraf, V. De Filippis, S. A. Pary, S. K. Tiwari: Derivations vanishing on commutator identity involving generalized derivation on multilinear polynomials in prime rings, Communications in Algebra, 47 (02), 800-813, https://www.tandfonline.com/doi/full/10.1080/00927872.2018.1498863
21. (2018) S. K. Tiwari: Generalized derivations with multilinear polynomials in prime rings, Communications in Algebra, 46(12): 5356-5372, https://www.tandfonline.com/doi/full/10.1080/00927872.2018.1468899
22. (2018) S. K. Tiwari, R. K. Sharma, B. Dhara: Some theorems of commutativity on semiprime rings with mappings, Southeast Asian Bull. Math. 42(2): 279-292.
23. (2018) B. Dhara, K. G. Pradhan, S. K. Tiwari: Engel type identities with generalized derivations in prime rings, Asian-Euro. J. of Mathematics, 11(04) https://www.worldscientific.com/doi/10.1142/S1793557118500559
24. (2018) S. K. Tiwari, R. K. Sharma: On Lie ideals with generalized (alpha, alpha)-derivations in prime rings, Rendiconti del Circolo Matematico di Palermo Series 2, 67(3): 493-499, https://link.springer.com/article/10.1007/s12215-018-0329-y
25. (2017) S. K. Tiwari, R. K. Sharma, B. Dhara: Derivations vanishing on commutators with generalized derivations of order two in prime rings, Communications in Algebra, 45(8): 3542–3554, https://www.tandfonline.com/doi/full/10.1080/00927872.2016.1238477
26. (2017) S. K. Tiwari, R. K. Sharma: Derivations vanishing identities involving generalized derivations and multilinear polynomial in prime rings, Mediterranean Journal of Mathematics, https://link.springer.com/article/10.1007%2Fs00009-017-1009-4
27. (2017) S. K. Tiwari, R. K. Sharma, B. Dhara: Multiplicative (generalized)-derivations on semiprime rings, Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 58: 211–225, https://link.springer.com/article/10.1007/s13366-015-0279-x
28. (2017) S. K. Tiwari, B. Prajapati, R. K. Sharma: Banach algebra with generalized derivations, Asian-Euro. J. of Mathematics, 10(04). https://www.worldscientific.com/doi/10.1142/S1793557117500693
29. (2017) V. K. Yadav, S. K. Tiwari, R. K. Sharma: Generalized derivations on Lie ideals in prime rings, Asian-Euro. J. of Mathematics, 10(02) https://www.worldscientific.com/doi/abs/10.1142/S1793557117500322
30. (2017) B. Dhara, K. G. Pradhan, S. K. Tiwari: Left annihilator of identities involving generalized derivations in prime rings, Iranian Journal of Mathematical Sciences and Informatics,12(2): 139-151. http://ijmsi.ir/article-1-845-en.html
31. (2016) R. K. Sharma, B. Dhara, S. K. Tiwari: Left Annihilator of commutator identity with generalized derivations and multilinear polynomials in prime rings, Communications in Algebra, 44: 3611–3621, https://www.tandfonline.com/doi/full/10.1080/00927872.2015.1085996
32. (2016) S. K. Tiwari, R. K. Sharma, B. Dhara: Identities related to generalized derivation on ideal in prime rings, Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 57: 809–821, https://link.springer.com/article/10.1007/s13366-015-0262-6

Presentations

Research Talk:
1. Centralizing b-generalized derivations on multilinear polynomials, In-House Symposium, IISER Bhopal, INDIA (February 08, 2019).
2. Generalized derivations on prime and semi-prime rings, IISER Bhopal, INDIA ( August 23, 2018).
3. Derivations on prime and semi-prime rings, Universidade Federal de Sao Carlos, Departamento de Matematica University of Sao Paulo, BRAZIL ( May 23, 2018).
4. Conference: Derivation vanishing on generalized derivations with multilinear polynomials in prime rings, "International Conference on Algebra and Related Topics with Applications ( ICARTA -19 )" at Aligarh Muslim University, INDIA ( December 17, 2019 ).
5. Presented a paper in "Commutative Algebra and Algebraic Geometry ( CAAG ) at IISER Bhopal INDIA (July 2 to 6 2019).
6. Presented a paper in "III Workshop dos Pos-doutorandos do ICMC-USP”, Sao Carlos BRAZIL ( November 8, 2017).
7. Presented a paper in “International Conference on Semigroups Algebras and Applications ( ICSSA)” Cochin University, INDIA ( September 17 to 10, 2015 ).
List-1

Mathematics

Dr. Shailesh Kumar Tiwari

Research Experience:

Research Talk: