Dr. Manoj Kumar is a mathematician specializing in wavelet analysis, applied and computational mathematics, numerical methods, and functional analysis. His research focuses on wavelet frames, summability methods, integral transforms, and fast wavelet-based algorithms for solving differential, integro-differential, and partial differential equations with applications to biological models, fluid flow, control systems, and engineering problems. He has made significant contributions through high-quality journal publications introducing efficient and convergent computational techniques using Fibonacci, Taylor, Bernoulli, Hermite, and wavelet frameworks. His professional experience includes teaching applied mathematics at the undergraduate and postgraduate levels, supervising doctoral research, curriculum development, academic administration, and active engagement in faculty development, research training, and interdisciplinary collaboration.
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