GLA

Faculty

Dr. Kapil Kumar

Dr. Kapil Kumar

Assistant Professor - Institute of Applied Sciences & Humanities

Experience

3 Year 9 Months

Qualifications

  • Ph.D.

Publication

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  • Pallavee Gupta, Kapil Kumar, and Avdhesh Kumar Mishra, Identities Involving Multiplicative Generalized g-Derivations on Prime Rings, Asian-European Journal of Mathematics, https://doi.org/10.1142/S1793557125400145 (2025) (ESCI, Scopus).
  • Kapil Kumar, Symmetric n-additive mappings admitting semiprime ring in Kragujevac Journal of Mathematics, 49, (2025), No 5, 755-764. (Scopus, ESCI).
  • Kapil Kumar and Avdhesh Kumar Mishra, Annihilator on multiplicative generalized g-derivations on prime rings, Annali dell' Università di Ferrara, 70, (2024), I, 1-16 (Scopus).
  • Kapil Kumar, *-α-derivation on prime *-rings in Journal of Algebra and Related Topics 10, (2022), No 1, 63-69. (Scopus).
  • Faiza Shujat, Abu Zaid Ansari and Kapil Kumar, Commuting symmetric bi-semiderivations on rings, in Advances in Mathematics: Scientific Journal, 10 (2021), 9, 3233-3240. (Scopus).
  • Asma Ali, Khalid Ali Hamdin and Kapil Kumar, On generalized (α,β) derivations on *-prime rings, in Zeichen Journal, 7, (2021) 9, 82-88.
  • Asma Ali, Kalid Ali Hamdin and Kapil Kumar, Generalized (𝜽,𝝋)-derivations as homomorphisms and anti-homomorphisms on 𝝈-prime rings, in Mathematics Today, 36, (2020), 2, 1-7.
  • Asma Ali and Kapil Kumar, Traces of permuting n-additive mappings in *-prime rings, in Journal of Algebra and Related Topics, 8, (2020), No 2, 9-21 (Scopus).
  • Asma Ali, Faiza Shujat and Kapil Kumar, Some functional identities with generalized skew derivation on *-prime rings, Palestine Journal of Mathematics 7 (2018), Special Issue I, 88-98 (Scopus).
  • Asma Ali, Kapil Kumar and Md. Hamidur Rahaman, A note on generalized skew derivation on rings, International Journal of Mathematics Trends & Technology, 55 (2018), No. 8, 593-603.
  • Asma Ali, Faiza Shujat and Kapil Kumar, Generalized biderivation on prime and semiprime rings, International Journal of Computational and Applied Mathematics, 13 (2018), No. 1, 33-41.
  • Asma Ali, Najat Muthana and Kapil Kumar, On traces of n-additive mappings on semiprime rings, Journal of Advances in Appl. and Comp. Math., Avanti Publishers 4 (2017), No. 1, 1-10.

Conferences / Seminar / Workshop

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  • Asma Ali, Kapil Kumar and Mohd Tasleem, Central Power Values of Generalized Derivation and Structure of Unital Banach Algebra, in Advances in Ring Theory and Applications, Springer Proceedings in Mathematics and Statistics 443 (2024), DOI- https://doi.org/10.1007/978-3-031-50795-3_11.

Organized Conferences/Workshops/FDP

  • Organized as coordinator a Faculty Development Program (FDP) on “Application of Mathematics in Interdisciplinary Fields” in the Department of Mathematics, GLA University, Mathura from 15-21 April, 2023.

Conferences/Workshops

  • Attended Workshop in Department of Mathematics, Indian Institute of Technology, Patna, Bihar on “Linear Codes, Code-Based Functions and Magma Computation” during 17-18 January, 2026.
  • Presented a paper on “On traces of n-additive mappings on *-prime rings” at the National Conference on Smart Innovation in Science, Communication and Computing Technology (SISCT-2020) held at Swami Vivekanand Subharti University, Meerut.
  • Attended Workshop of Gandhian Study Centre, Ismail National Mahila (P.G.) College, Meerut (U.P.) on “Research Methodology Interdisciplinary” during 18-24 December, 2019.
  • Attended Workshop in Department of Mathematics, Swami Vivekanand Subharti University, Meerut, on “Introduction to Matlab” during 08-09 November, 2019.
  • Attended Workshop on “National Workshop on Research Methodology” organized by Aligarh Muslim University, Aligarh, India during 05-11 February, 2018.
  • Presented a paper on “On generalized *-n-derivations in *-rings” at the International Conference on Algebra and its Applications (ICAA-2016) held at Department of Mathematics, Aligarh Muslim University, Aligarh, India during November 12-14, 2016.
  • Attended Workshop of Annual Foundation Schools organized by IIT, Mumbai and TIFR, Mumbai at Harish-Chandra Institute of Research, Allahabad during 05-31 December, 2016.
  • Presented a paper on “Pair of generalized derivations and Lie ideals and prime rings” at the International Conference on Semigroups, Algebras and Applications (ICSAA-2015) held at Department of Mathematics, Cochin University of Science and Technology, Kochi, India during September 17-19, 2015.

Conferences Attended

  • Attended as an Organizing Secretary in the International Conference on “Recent Advances in Mathematical Sciences and Interdisciplinary” (RAMSIA-2025) held at Department of Mathematics, GLA University, Mathura, India during March 28-29, 2025.
  • Attended the International Conference on “Recent Advances in Mathematical Sciences and Interdisciplinary” (RAMSIA-2023) held at Department of Mathematics, GLA University, Mathura, India during June 22-24, 2023.
  • Attended the International Conference on Analysis and its Applications (ICAA-2017) held at Department of Mathematics, Aligarh Muslim University, Aligarh, India during November 20-22, 2017.
  • Attended the International Conference on Analysis and its Applications (ICAA-2015) held at Department of Mathematics, Aligarh Muslim University, Aligarh, India during December 19-21, 2015.

Subjects Taught

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  • Engineering Calculus (BMAS 0104)
  • Matrices, Differential Equations and Laplace Transform (BMAS 1105)
  • Abstract Algebra (MMAC 1002)
  • Functional Analysis (MMAC 0009)
  • Discrete Mathematics (MMAE 1009)
  • Algebra and Mathematical Methods (BMAC 0003)
  • Business Statistics

Research Interest

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Functional Identities, Derivations on rings, Agebras, Banach Algebras, Topological Rings, *-Algebras

Others

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  • Secured All India Rank 59 in CSIR NET 2013.
  • Secured All India Rank 40 in CSIR NET 2014.
  • Qualified NBHM Screening Test in 2014.
  • Qualified NBHM Screening Test in 2017.
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