The Institute

Dr. Shailesh Kumar Tiwari
Shailesh Kumar Tiwari  
Dr. Shailesh Kumar Tiwari
Assistant Professor
Ph.D, Indian Institute of Technology Delhi (2016)
Ph: +91-612-302 8074
sktiwari[*AT]iitp.ac.in
Personal webpage: https://sites.google.com/view/sktiwarimath/home
Google Scholar: https://scholar.google.co.in/citations?user=74PhajcAAAAJ&hl=en
Research Areas :
  • Associative Rings and Algebras
  • Finite Field
  • Polynomial Identities on Rings
Courses taught at IITP :
  1. MA001: Preparatory Math I
  2. MA 002: Preparatory Math II
  3. MA102: Mathematics II
  4. MA217: Algebra
  5. MA218: Complex Analysis
  6. MA312: Number Theory
  7. MA421: Linear Algebra
  8. MA424: Complex Analysis
  9. MA427: Algebra
  10. MA529: Basic Number Theory
  11. MA623: Number Theory
Other Interests :  
Ph.D Students :
Sr. No. Name Joining date Fellowship
4.
Mr. Lovepreet Singh
(2321MA12)		 July 2023 Inspire
3.
Ms. Aastha Shukla
(2121MA18)		 July 2021 CSIR-UGC
2.
Mr. Kaustav Chatterjee
(2121MA03)		 January 2021 NBHM
1.
Ms. Pallavee Gupta
(2021MA15)		 August 2020 DST-Inspire
M.Sc. Students :
M.Sc. Students (Completed)
S. N. Name
6. Mr. Lovepreet Singh (2112MA12)
5. Mr. Pravin S. Gaupale (2112MA15)
4. Ms. Sumita Gunri (2112MA29)
3. Ms. Anu Kumari (2012MA05)
2. Mr. Biswas (2012MA12)
1. Mr. Chandan Kumar (1912MA04)
M.Sc. Students (Ongoing)
1. Mr. Chappdi Vijaya Chandra Reddy (2212MA08)
Professional Experience : Research Experience:
  • Post-doctoral Fellow at the Department of Mathematics, Indian Institute of Science Education and Research, Bhopal, INDIA.
  • Post-doctoral Fellow at Department of Mathematics, ICMC-University of Sao Paulo, Sao Carlos BRAZIL.
Teaching Experience:
  • Visiting Assistant Professor at the Department of Mathematics, Ambedkar University Delhi, INDIA.
  • Adjunct Faculty at the Department of Mathematics, Ambedkar University Delhi, INDIA.
Administrative Responsibility :
  1. D Coordinator of Department of Mathematics, since January 2024 to till date.
  2. Warden, Kalam Hostel (A & B wing) at IIT Patna since June 2023 to till date.
  3. Associate Warden, Kalam Hostel (A & B wing) at IIT Patna since August 2021 to May 2023.
  4. D coordinator of Department of Mathematics since May 2021 to 5 January 2023.
  5. DAPC, Secretary of Department of Mathematics since April 2020 to May 2022.
Awards & Honours :
  • Postdoctoral Fellowship at Indian Institute of Science Education and Research Bhopal, INDIA.
  • Postdoctoral Fellowship at ICMC-University of Sao Paulo BRAZIL.
  • Received CSIR Senior Research Fellowship at Indian Institute of Technology Delhi.
  • Received CSIR Junior Research Fellowship, at Indian Institute of Technology Delhi.
  • Received GATE Fellowship, at Indian Institute of Technology Indore. INDIA.
Conference(s)/Workshop 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. National Mathematics Day, IIT Patna (22nd December 2021 with Dr. N. K. Tomar and Dr. A. K. Verma).
Publications :
  1. (2024) P. Gupta, V. De Filippis, S. K. Tiwari: Generalized skew-derivations acting on multilinear polynomial in prime rings, Communications in Algebra, 52(01), 48-78.
  2. (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.
  3. (2023) S. K. Tiwari: Product and commuting generalized derivations in prime rings, Rend. Circ. Mate. Palermo, II. Ser., 72(02), 1377-1397
  4. (2022), B. Prajapati, S. K. Tiwari, C. Gupta: b-Generalized derivations act as a multipliers on prime rings, Communications in Algebra, 50(8), 3498-3515.
  5. (2022), S. K. Tiwari, B. Prajapati: Generalized derivations acting on multilinear polynomials as Jordan Homomorphisms, Ukrainian Mathematical Journal, 74, 1134-1148.
  6. (2022) S. K. Tiwari: Identities with generalized derivations in prime rings, Rend. Circ. Mate. Palermo, II. Ser., 71, 207-223.
  7. (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.
  8. (2021), B. Prajapati,  S. K. Tiwari: Some commutativity theorem on Banach algebra,  Rend. Circ. Mate. Palermo, II. Ser., 70(2), 1041-1049.
  9. (2020) C. Arusha,  S. K. Tiwari: A note on generalized derivations as a Jordan homomorphisms, Bulletin Korean Math. Soc., 57 (3), 709-737.
  10. (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.
  11. (2020) S. K. Tiwari:  Identities with Generalized derivations and multilinear polynomials, Bull. Iranian Math. Society, 46(02),  425-440.
  12. (2019) S. K. Tiwari, B. Prajapati: Centralizing b-generalized derivations on multilinear polynomials, FILOMAT,  33(19): 6251-6266.
  13. (2018) S. K. Tiwari:  Generalized derivations with multilinear polynomials in prime rings, Communications in Algebra, 46(12): 535-5372.
  14. (2019) S. K. Tiwari, B. Prajapati: Generalized derivations acts as a Jordan homomorphism on multilinear polynomials,  Communications in Algebra,  47(7): 2777-2797.
  15. (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(2): 800-813.
  16. (2018) S. K. Tiwari, R. K. Sharma: On Lie ideals with generalized (α, α) derivations in prime rings,  Rend. Circ. Mate. Palermo, II. Ser., 67(3), 493-499.
  17. (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.
  18. (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/s00009-017-1009-4.
  19. (2016) S. K. Tiwari, R. K. Sharma, B. Dhara: Left Annihilator of commutator identity with generalized derivations and multilinear polynomials in prime rings, Communications in Algebra, 44: 3611-3621.
  20. (2017), S. K. Tiwari, R. K. Sharma, B. Dhara: Multiplicative (generalized)-derivations on semiprime rings, Beitr. Algebra Geometry.. 58: 211-225.
  21. (2016) S. K. Tiwari, R. K. Sharma, B. Dhara: Identities related to generalized derivation on ideal in prime rings, Beitr. Algebra Geometry,  57: 809-821.
  22. (2017) V. K. Yadav,  S. K. Tiwari, R. K. Sharma, Generalized derivations on Lie ideals in prime rings, Asian-Euro. J. of Mathematics, https://www.worldscientific.com/doi/abs/10.1142/S1793557117500322
  23. (2017) S. K. Tiwari, B. Prajapati, R. K. Sharma:  Banach algebra with generalized derivations, Asian-Euro. J. of Mathematics, https://www.worldscientific.com/doi/10.1142/S1793557117500693
  24. (2017) B. Dhara, K. G. Pradhan, S. K. Tiwari: Engel type identities with generalized derivations in prime rings,  Asian-Euro. J. of Mathematics, https://www.worldscientific.com/doi/10.1142/S1793557118500559
  25. (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.
  26. (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.
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).
Conference:
  1. 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 ).
  2. Presented a paper in "Commutative Algebra and Algebraic Geometry ( CAAG ) at IISER Bhopal INDIA (July 2 to 6 2019).
  3. Presented a paper in "III Workshop dos Pos-doutorandos do ICMC-USP”, Sao Carlos BRAZIL ( November 8, 2017).
  4. Presented a paper in “International Conference on Semigroups Algebras and Applications ( ICSSA)” Cochin University, INDIA ( September 17 to 10, 2015 ).
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