Research Interests
- Wavelet, Shearlet, Frame and Harmonic Analysis
- Dynamical Sampling, Sampling Theory, Signal Processing and Time Frequency Analysis
- Frame theory associated to Ramanujan Sums, Ramanujan subspace, Ramanujan filter bank, etc.
Ph.D. Scholars
- Sahil (Ph.D. Degree awarded in 2026):
Convolutional Frames for Sampling, Signal Recovery and Uncertainty Principles
- Navneet (Ph.D. Degree awarded in 2026):
Characterization and explicit construction of pairwise orthogonal Parseval frames on LCA groups
-
Sudipta Sarkar (Ph.D. Degree awarded in 2023): Translation generated oblique dual frames by actions of locally compact groups
- Anupam Gumber (Ph.D. Degree awarded in 2018): On the orthogonality of frame pairs over locally compact abelian groups
M.Sc. Scholars
- Vishal Kumar (M.Sc Degree awarded in 2026):
Signal Analysis using Ramanujan and Affine Ramanujan Sums
- Lokendra Kumar (M.Sc Degree awarded in 2023):
Study of Dynamical Sampling and frame representations
- Asik Doctor (M.Sc Degree awarded in 2023):
Discrete theory of sampling for Ramanujan space
Post-Doctoral Fellow/Research Staff
- Dr. Swaraj Paul: CSIR-Research Associate position during
August 20, 2018- August 19, 2020.
- Kamna Pradip Laghate: NBHM-JRF position during
February 07, 2019-January 01, 2020.
Dr. Niraj Kumar Shukla
Professor
Mathematics
nirajshukla[at]iiti.ac.in
