Dr. Shailesh Kumar Tiwari 



Research Areas 
: 
Associative rings and algebras 
Courses taught at IITP 
: 
 MA102 : Mathematics II
 MA 002: Preparatory Math II
 MA421: Linear Algebra
 MA424: Complex Analysis
 MA529: Basic Number Theory

Other Interests 
: 

Ph.D Students 
: 
 Pallavee Gupta (2021MA15)
 Kaustav Chatterjee (2121MA03)
 Aastha Shukla (2121MA18)

Professional Experience 
: 
Research Experience:
 Postdoctoral Fellow at the Department of Mathematics, Indian Institute of Science Education and Research, Bhopal, INDIA.
 Postdoctoral Fellow at Department of Mathematics, ICMCUniversity 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 
: 
 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.

Awards & Honours 
: 
 Postdoctoral Fellowship at Indian Institute of Science Education and Research Bhopal, INDIA.
 Postdoctoral Fellowship at ICMCUniversity 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.

Publications 
: 

(2023),V. De Filippis, S. K. Tiwari, S. K. Singh: Generalized gderivations on prime rings, Journal of Algebra and Its Applications, 22(02), 2350037.

(2022), B. Prajapati, S. K. Tiwari, C. Gupta: bGeneralized derivations act as a multipliers on prime rings, Communications in Algebra, 50(8), 34983515.

(2022), S. K. Tiwari, B. Prajapati: Generalized derivations acting on multilinear polynomials as Jordan Homomorphisms, Ukrainian Mathematical Journal, 74, 11341148.

(2022), S. K. Tiwari: Product and commuting generalized derivations in prime rings, Rend. Circ. Mate. Palermo, II. Ser., https://doi.org/10.1007/s12215022007396.

(2022) S. K. Tiwari: Identities with generalized derivations in prime rings, Rend. Circ. Mate. Palermo, II. Ser., 71, 207223.

(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), 267305.

(2021), B. Prajapati, S. K. Tiwari: Some commutativity theorem on Banach algebra, Rend. Circ. Mate. Palermo, II. Ser., 70(2), 10411049.

(2020) C. Arusha, S. K. Tiwari: A note on generalized derivations as a Jordan homomorphisms, Bulletin Korean Math. Soc., 57 (3), 709737.

(2020) S. K. Tiwari, Sanjay Kumar Singh: A note on generalized derivations with multilinear polynomials in prime rings, Communications in Algebra, 48 (04), 17701788.

(2020) S. K. Tiwari: Identities with Generalized derivations and multilinear polynomials, Bull. Iranian Math. Society, 46(02), 425440.

(2019) S. K. Tiwari, B. Prajapati: Centralizing bgeneralized derivations on multilinear polynomials, FILOMAT, 33(19): 62516266.

(2018) S. K. Tiwari: Generalized derivations with multilinear polynomials in prime rings, Communications in Algebra, 46(12): 5355372.

(2019) S. K. Tiwari, B. Prajapati: Generalized derivations acts as a Jordan homomorphism on multilinear polynomials, Communications in Algebra, 47(7): 27772797.

(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): 800813.

(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), 493499.
 (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): 35423554.

(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/s0000901710094.

(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: 36113621.
 (2017), S. K. Tiwari, R. K. Sharma, B. Dhara: Multiplicative (generalized)derivations on semiprime rings, Beitr. Algebra Geometry.. 58: 211225.
 (2016) S. K. Tiwari, R. K. Sharma, B. Dhara: Identities related to generalized derivation on ideal in prime rings, Beitr. Algebra Geometry, 57: 809821.
 (2017) V. K. Yadav, S. K. Tiwari, R. K. Sharma, Generalized derivations on Lie ideals in prime rings, AsianEuro. 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, AsianEuro. 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, AsianEuro. J. of Mathematics, https://www.worldscientific.com/doi/10.1142/S1793557118500559

(2018) S. K. Tiwari, R. K. Sharma, B. Dhara: Some theorems of commutativity on semiprime rings with mappings, Southeast Asian Bull. Math., 42(2), 279292.

(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), 139151.

Presentations 
: 
Research Talk:
 Centralizing bgeneralized derivations on multilinear polynomials, InHouse Symposium, IISER Bhopal, INDIA (February 08, 2019).
 Generalized derivations on prime and semiprime rings, IISER Bhopal, INDIA ( August 23, 2018).
 Derivations on prime and semiprime 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 Posdoutorandos do ICMCUSP”, 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 ).


