Ph.D. in Mathematics-Central University of Jammu, Samba (2023) Specialization: Functional Analysis and Operator Theory.
M.Sc. in Mathematics – University of Jammu (2017).
B.Sc. – G.G.M. Science College Jammu, University of Jammu (2015).
CSIR NET-JRF (December 2017, June 2018), JKSET(March 2018), GATE(2018).
Teaching Experience
Assistant Professor, School of Mathematics Shri Mata Vaishno Devi University Katra (Dec., 2024–Present)
Journal Publications
Sharma, A. K., Kumar, Vivek. Discrete Cesaro operator between weighted Banach spaces on homogenous trees. Adv. Oper. Theory 5(4), 1667-1683 (2020) (ESCI & Scopus, IF: 0.8)
Muthukumar, P., Sharma, A. K., Kumar, Vivek. Weighted composition operators between weighted Hardy spaces on rooted trees. Meditterr. J. Math. 20-61 (2023) (SCI, IF: 1.3).
Kumar, Vivek., Sharma, S. K., Sharma, A. K. Difference Cesàro sequence spaces defined by Musielak-Orlicz functions. Jordan J. Math. Stat. 16(2023), no. 3, 421–430. (ESCI & Scopus).
Kumar, Ravi., Anuchaivong, P., Kumar, Vivek., Sharma, A.K., Sharma, S. K.,Lacunary Euler sequence spaces over n-normed spaces defined by Musielak-orliz function via matrix transformation of order (alpha, beta). Afrika Mathematika, (2025) 36:151.(ESCI & Scopus IF=0.7)
Kumar, Vivek., Mursaleen, M., Sharma, A.K. Multiplication operators on Cesaro function spaces on rooted trees. Afrika Mathematika, (2025) 36:156.(ESCI & Scopus IF=0.7)
Courses Taught
Courses teaching during the Academic Year 2025-2026(July-December)