Teaching Experience

12.5 years

Research Interests:

Graph Theory, Numerical Analysis, Complex Analysis, Differential & Integral calculus, Discrete Mathematics.Number Theory, Application of Fibonacci sequence in Calculus

Others:

• GATE- Mathematics
• Member of OPSEARCH

Academic Achievements

• 4 International research publications
• 7 Research papers presented & published in proceedings of national conferences
• Secured fourth position in merit list of M. Sc. (in 1995 Pt. R. S. .S University, Raipur (C., G.)).
• Co-author of four text books of engineering mathematics (By Kataria & Bhavya publications)
• 12 certifications of Coursera Courses of various countries.
• 5 certifications of NPTEL.
• Co-author of one Chapter in international book.
• Two ATAL online FDP attended.
• Was deputed for evaluation of all papers of Mathematics of AKTU and DCE syllabus.
• Was member of organizing committee of national/international conferences in our college IPEC, GZB.
• Convener of Parichay “2018” (Fresher’s Party in IPEC).
• Attended various offline/online FDP.

List of Publications

• Krishna Kumar Sharma and Vikas Panwar, “Generalized Coupled Fibonacci Sequences of rth Order and their Properties”, International Journal of Computer Applications 87(6), 28-30, (2014), [Google Scholar, and DOAJ] DOI: 10.5120/15230-3756 . ISSN 0975-8887 https://research.ijcaonline.org/volume87/number8/pxc3893756.pdf
• Krishna Kumar Sharma “On Extension of Generalized Fibonacci Function” International Journal of Advanced and Applied Sciences (IJAAS), 5(7), 58-63 (2018) [Web of Science, Clarivate analytics, ESCI] https://doi.org/10.21833/ijaas.2018.07.008.
• Krishna Kumar Sharma “Some Identities of Generalized Fibonacci Sequence Containing Higher Powers” Mayfeb Journal of Mathematics, 1 (2018) 1-5. [Google Scholar]http://www.mayfeb.com/OJS/index.php/MAH/article/view/597. ISSN 2371-6193.
• Krishna Kumar Sharma and Vikas Panwar “On Tetranacci Function and Tetranacci Numbers”, International Journal of Mathematics and Computer Science, 15(3), 923-932(2020). [Scopus Indexed, Web of Science].http://ijmcs.future-in-tech.net/15.3/R-KrishnaSharma.pdf . ISSN - 1814-0424/1814-0432
• Krishna Kumar Sharma “Generalized Tribonacci Function and Tribonacci Numbers” International Journal of Recent Technology and Engineering (IJRTE), 9(1), 1313-1316(2020).https://www.ijrte.org/wpcontent/uploads/papers/v9i1/F7640038620.pdf. ISSN: 2277-3878 (Online)
• Amit Awasthi and Krishna Kumar Sharma “Conformable Derivative of Fibonacci Polynomials” Communicated in Chaos Solitons and Fractals [SCI, Web of Science] 2019

Reputed International Conference Presentations

• Krishna Kumar Sharma “Generalized Tribonacci Function and Tribonacci Numbers”, presented in International Conference on Soft Computing and Mathematical Modelling (ICSCMM) (December 22-23, 2018).
• Krishna Kumar Sharma “Deformable Derivative of Fibonacci Polynomials”, has been presented in 3rd International Conference on “Modern Mathematical Methods and High Performance Computing in Science & Technology (M3HPCST-2020)” Inderprastha Engineering College, Ghaziabad (January 09-11, 2020).ISBN 978-81-931463-2-3.

Area of Interest

Applications of Fibonacci Sequence in Number Theory and in Fractional Calculus.