Bio-Sketch:
Dr. Shivam Kumar Singh is an Assistant Professor at the Department of Mathematics, Netaji Subhas University of Technology (formerly Netaji Subhas Institute of Technology), New Delhi. He obtained his B.Sc. (H) Mathematics and M.Sc (Mathematics) degree from Ramjas College, University of Delhi. He obtained his Ph.D.(Mathematics) degrees from the Department of Mathematics, University of Delhi. He also qualified CSIR(JRF)-2013, CSIR (NET)-2015 and GATE-2015 in Mathematics. He has 5 years teaching experience in Mathematics and 7 years research experience in Theory of Operators. He has published 9 research papers in reputed peer reviewed International Journals. He has presented research papers in national as well as international conferences. His research interest includes the study of Toeplitz, Hankel and Composition operators and their variants on various spaces of analytic functions. Prior to joining the NSUT, he worked with the University of Delhi for around four years from 2018 to 2022 as an Assistant Professor.
Research Area : Theory of Operators
Researcher Ids :
Scopus ID | Orcid ID | Google Scholar Link | Vidwan-ID |
57206711902 |
|
g9Kgme8AAAAJ |
412406 |
- List of Publications:
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S.No. Academic Year Authors Name Paper Title Journal Publication Details DOI 1 2022 Shivam Kumar Singh and Jyoti Sharma Generalized Slant Toeplitz Operators on the Derivative Hardy Space S2(D) Annals of Functional Analysis, Vol. 13 ,PP18 https://doi.org/10.1007/s43034-022-00166-9 2 2021 Shivam Kumar Singh and Anuradha Gupta H-Toeplitz Operators on the Bergman Space Bulletin of Korean Mathematical Society, Vol. 58 327-347. https://doi.org/10.4134/BKMS.b200260 3 2020 Shivam Kumar Singh and Jyoti Sharma Clifford Valued Shearlet Transform Advances in Applied Clifford Algebras, Vol. 30 No. 3, PP 16. https://doi.org/10.1007/s00006-020-01066-8 4 2019 Shivam Kumar Singh and Anuradha Gupta Toeplitz composition operators on the Fock space Complex Variables & Elliptic Equations, Vol. 64 1077-1092. https://doi.org/10.1080/17476933.2018.1501035 5 2019 Shivam Kumar Singh and Anuradha Gupta kth-order essentially slant weighted Toeplitz operators Communication of the Korean Mathematical Society, Vol. 34 No. 4, 1229-1243. https://doi.org/10.4134/CKMS.c180447 6 2019 Shivam Kumar Singh and Anuradha Gupta Slant H-Toeplitz operators on the Hardy space Journal of the Korean Mathematical Society, Vol. 56, No. 3, 703-721. https://doi.org/10.4134/JKMS.j180324 7 2019 Shivam Kumar Singh and Anuradha Gupta Toeplitz type operator on the derivative Hardy space S²(D) Acta Scientiarum Mathematicarum (Szeged), Vol. 85 , No. 3, 473-493. https://doi.org/10.14232/actasm-018-805-0 8 2017 Shivam Kumar Singh and Anuradha Gupta kth-order slant Toeplitz operators on the Fock space Advances in Operator Theory, Vol. 2, No. 3, 318–333. 10.22034/aot.1703-1133 9 2017 Shivam Kumar Singh and Anuradha Gupta Necessary conditions for hyponormality of Toeplitz operators on the Fock space Mathematics for Applications (Brno), Vol. 6, No. 2, 151–159. 10.13164/ma.2017.10
Ph. D. Guided:
S.No | Name & Roll no. of research scholar | Supervisor name | Title of Research Work | Date of Ph.D. Admission | Current Status | Ph.D. Award Date |
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1 |
Sagata Ram 2023RMA1701 |
Dr. Shivam Kumar Singh | Invariants of Toeplitz operators on generalized derivative Hardy space (Tentative) | 20/07/2023 | Ongoing |
PG Dissertation Guided:
S. No. | Name & Roll no. of student | Supervisor name | Title of research work | Level | Current Status | Award Date |
---|---|---|---|---|---|---|
1 |
Anjali 2022PMA6910 |
Dr. Shivam Kumar Singh | Complex symmetry and hyponormality of Toeplitz operators on generalized derivative Hardy space | PG | Completed | 2024 |
2 |
Sanskriti Jain 2022PMA6921 |
Dr. Shivam Kumar Singh | Composition operators on Derivative Hardy space | PG | Completed | 2024 |
3 |
Shruti Verma 2022PMA6931 |
Dr. Shivam Kumar Singh | Toeplitz operators on the Bergman space | PG | Completed | 2024 |
4 |
Renu Rathee 2022PMA6904 |
Dr. Shivam Kumar Singh | Slant Toeplitz operators on Lebesgue and Hardy space over Torus | PG | Completed | 2024 |