
Associate Professor, School of Mathematics, Shri Mata Vaishno Devi University, Kakryal, Katra, J&K since December 23, 2024 to continue
Assistant Professor, Department of Mathematics and Statistics, Banasthali Vidyapith, Banasthali (Rajasthan) since June 28, 2018 to December 21, 2024.
Assistant Professor (Grade III), Department of Mathematics, AIAS, Amity University Uttar Pradesh, Noida since September 1, 2017 to June 26, 2018.
Dr. D.S. Kothari Post-Doctoral Fellow (UGC, Govt. of India), DST-CIMS, Banaras Hindu University, Varanasi from May 2012 to May 2015.
Post-Doctoral Fellow, National Board for Higher Mathematics (NBHM), Department of Atomic Energy, Mumbai, Govt. of India, from May 2010 to May 2012.
1. Research Project funded by DST-Science and Engineering Research Board (SERB), Govt. of India
Title: On the investigation of relation between classical integral transforms and wavelet transforms on the distribution spaces
Role: Principal Investigator (sole)
Sanction order No. : (ECR/2017/000394 dated 20.03.2018)
Duration: (2018-2021)(Completed).
2. Research Project funded by National Board for Higher Mathematics (NBHM), Department of Atomic Energy, Govt. of India
Title: Investigation of Wavelet Convolutors on Distribution Spaces
Role: Principal Investigator (sole)
Sanction order No. : (02011/7/2022NBHM(R.P.)/R&D-II/10010 dated 29.07.2022)
Duration: (2022-2024)(Completed).
Research Publications: Total Published: 49, Accepted: 01, Communicated: 03
List of Publications (Last Ten years)
1. Abhishek Singh and Aparna Rawat, Wavelet Transform of Generalized Functions and its Applications, Book Series on Computers and Operations Research (Vol. 15), entitled “Advances of Special Functions for Scientists and Engineers: Theory and Applications.” Accepted (2026) (World Scientific) (Scopus)
2. Abhishek Singh, N Raghuthaman and S K Singh, Ultradistributional Wavelet Transform for the Convolutors of Sw, Advances in Mathematical Modelling, Applied Analysis and Computation. Lecture Notes in Networks and Systems, vol 953, pp. 243-248 (2024) https://doi.org/10.1007/978-3-031-56304-1_15 (Springer) (SCOPUS).
3. A Rawat and Abhishek Singh, Integral Transforms and Generalized Quotient Space on the Torus, Advances in Mathematical Modelling, Applied Analysis and Computation. Lecture Notes in Networks and Systems, vol 952, pp. 285-301 (2024) https://doi.org/10.1007/978-3-031-56307-2_19 (Springer) (SCOPUS).
4. Abhishek Singh, S. Singh, and D. Kumar, The Mexican Hat Wavelet Transform on Generalized Quotients and Its Applications, Methods of Mathematical Modelling and Computation J. Singh et al. (Eds.), LNNS 666, pp. 1–18 (2023) https://doi.org/10.1007/978-3-031-29959-9_5 (Springer) (SCOPUS).
5. Abhishek Singh, Aparna Rawat and J Singh, Wavelet Transform on generalized quotients spaces and Its Application, Advances in Mathematical Modelling, Applied Analysis and Computation, LNNS 415, pp. 119–139, (2022) DOI: 10.1007/978-981-19-0179-9_6 (Springer) (SCOPUS).
6. Abhishek Singh, Aparna Rawat and N. Raghuthaman, Mexican Hat Wavelet Transform and Its Application, Methods of Mathematical Modelling and Computation for Complex Systems SSDC, volume 373, pp. pp 299–317 (2021) DOI: 10.1007/978-3-030-77169-0_12 (Springer) (SCOPUS).
Ph.D. Students Supervised – 3
Master’s Thesis Advisor – 16
International Seminars/Conferences
National Seminars/Conferences:
1. Early Career Research (ECR) Award, Science and Engineering Research Board-SERB (DST), Govt. of India, 2017.
2. Best paper presentation Award: 30th Annual National Conference of the Mathematical Society-BHU during January 30-31, 2015 on Mathematical Analysis and Applications at Banaras Hindu University, Varanasi, India.
3. Award the prize for being most active interacting participant during the deliberation of workshop “Writing Research Paper” during June 10-11, 2011. Organized by National Academy of Sciences, India.
4. Travel Grant from DST-Science and Engineering Research Board (SERB) (SB/ITS-Y/02922/2014-15 dated 04.08.2014)
5. Travel Grant from National Board for Higher Mathematics, Department of Atomic Energy, Govt. of India (No. 2/44(50)/2014/R&D-II/13022 dated 17.10.2014)
6. Travel Grant from DST-Science and Engineering Research Board (SERB) (ITS/2359/2015-16 dated 02.07.2015)
7. DSKPDF, University Grants Commission, Govt. of India (2012) (F.4-2/2006(BSR)/B-663/2012(BSR))
8. National Board for Higher Mathematics, Department of Atomic Energy, Govt. of India, PDF (2010) (No. 2/40(8)/2010/R&D-II/7053).
Visited the following countries in connection with presentation of research papers/invited talks/Academic visits:
Southampton University, Southampton, London (United Kingdom), Hongkong, University of Macau (Chaina SAR).
Vector Calculus [B.Sc. (Hons.), 4th Semester] Lesson Plan MLT… Vector calculus Jan-May 2026
Engineering Mathematics II [B.Tech (ECE), Section B, 2nd Semester] Lesson Plan theory Jan-May 2026 – EM-II
Complex Analysis [M. Sc.-2nd/IBM-8th] Lesson Plan theory Jan-May 2026 –