Dr. Shailesh Kumar Tiwari |
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Research Areas |
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Associative rings and algebras |
Courses taught at IITP |
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- MA102 : Mathematics II
- MA 002: Preparatory Math II
- MA421: Linear Algebra
- MA424: Complex Analysis
- MA529: Basic Number Theory
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Other Interests |
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Ph.D Students |
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- Pallavee Gupta (2021MA15)
- Kaustav Chatterjee (2121MA03)
- Aastha Shukla (2121MA18)
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Professional Experience |
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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.
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Administrative Responsibility |
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- Associate Warden, Kalam Hostel (A & B wing) at IIT Patna since 1st August 2021 to till date.
- Departmental Ph.D coordinator of Department of Mathematics since May 2021 to till date.
- DAPC, Secretary of Department of Mathematics since 25th April 2020 to till date.
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Awards & Honours |
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- 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.
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Publications |
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(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.
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(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.
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(2022), S. K. Tiwari, B. Prajapati: Generalized derivations acting on multilinear polynomials as Jordan Homomorphisms, Ukrainian Mathematical Journal, 74, 1134-1148.
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(2022), S. K. Tiwari: Product and commuting generalized derivations in prime rings, Rend. Circ. Mate. Palermo, II. Ser., https://doi.org/10.1007/s12215-022-00739-6.
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(2022) S. K. Tiwari: Identities with generalized derivations in prime rings, Rend. Circ. Mate. Palermo, II. Ser., 71, 207-223.
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(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.
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(2021), B. Prajapati, S. K. Tiwari: Some commutativity theorem on Banach algebra, Rend. Circ. Mate. Palermo, II. Ser., 70(2), 1041-1049.
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(2020) C. Arusha, S. K. Tiwari: A note on generalized derivations as a Jordan homomorphisms, Bulletin Korean Math. Soc., 57 (3), 709-737.
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(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.
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(2020) S. K. Tiwari: Identities with Generalized derivations and multilinear polynomials, Bull. Iranian Math. Society, 46(02), 425-440.
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(2019) S. K. Tiwari, B. Prajapati: Centralizing b-generalized derivations on multilinear polynomials, FILOMAT, 33(19): 6251-6266.
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(2018) S. K. Tiwari: Generalized derivations with multilinear polynomials in prime rings, Communications in Algebra, 46(12): 535-5372.
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(2019) S. K. Tiwari, B. Prajapati: Generalized derivations acts as a Jordan homomorphism on multilinear polynomials, Communications in Algebra, 47(7): 2777-2797.
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(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.
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(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.
- (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.
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(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.
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(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.
- (2017), S. K. Tiwari, R. K. Sharma, B. Dhara: Multiplicative (generalized)-derivations on semiprime rings, Beitr. Algebra Geometry.. 58: 211-225.
- (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.
- (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
- (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
- (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
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(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.
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(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.
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Presentations |
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Research Talk:
- Centralizing b-generalized derivations on multilinear polynomials, In-House Symposium, IISER Bhopal, INDIA (February 08, 2019).
- Generalized derivations on prime and semi-prime rings, IISER Bhopal, INDIA ( August 23, 2018).
- Derivations on prime and semi-prime rings, Universidade Federal de Sao Carlos, Departamento de Matematica University of Sao Paulo, BRAZIL ( May 23, 2018).
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 ).
- Presented a paper in "Commutative Algebra and Algebraic Geometry ( CAAG ) at IISER Bhopal INDIA (July 2 to 6 2019).
- Presented a paper in "III Workshop dos Pos-doutorandos do ICMC-USP”, Sao Carlos BRAZIL ( November 8, 2017).
- Presented a paper in “International Conference on Semigroups Algebras and Applications ( ICSSA)” Cochin University, INDIA ( September 17 to 10, 2015 ).
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