My research unifies fluid mechanics, complex analysis, and spectral theory through the development of artificial intelligence-driven methodologies. We aim to uncover new insights into nonlinear dynamics, non-self-adjoint operator spectra, and analytical properties in complex systems. By integrating machine learning with advanced mathematical frameworks, our work aspires to provide powerful computational and theoretical approaches for modeling, analysis, and prediction across diverse scientific and engineering applications.
Currently, I study the unsteady free convection of Williamson nanofluids over heated, permeable stretching sheets, focusing on how inclined magnetic fields and thermal radiation affect fluid flow and heat transfer. In complex analysis, I explore geometric function theory to deepen understanding of analytic mappings. While in spectral theory, I develop AI-driven models to solve eigenvalue problems in wave physics by leveraging Hermitian and skew-Hermitian operator relationships for efficient solutions in fluids and optics.
Awards
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Publications
Patents
Projects
Scholars
Interests
Artificial Intelligence
Complex Analysis
Mathematical Modelling
Spectral Theory
Thought Leaderships
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Education
2012
B.Sc Non-medical
Kurukshetra University Kurukshetra
2012
M.Sc Mathematics
Kurukshetra University Kurukshetra
India
2025
PhD
IIT Jodhpur
India
Experience
Assistant Professor, DIT University Dehradun
Research Interests
My research unifies fluid mechanics, complex analysis, and spectral theory through the development of artificial intelligence-driven methodologies. We aim to uncover new insights into nonlinear dynamics, non-self-adjoint operator spectra, and analytical properties in complex systems. By integrating machine learning with advanced mathematical frameworks, our work aspires to provide powerful computational and theoretical approaches for modeling, analysis, and prediction across diverse scientific and engineering applications.
Currently, I study the unsteady free convection of Williamson nanofluids over heated, permeable stretching sheets, focusing on how inclined magnetic fields and thermal radiation affect fluid flow and heat transfer. In complex analysis, I explore geometric function theory to deepen understanding of analytic mappings. While in spectral theory, I develop AI-driven models to solve eigenvalue problems in wave physics by leveraging Hermitian and skew-Hermitian operator relationships for efficient solutions in fluids and optics.
My research unifies fluid mechanics, complex analysis, and spectral theory through the development of artificial intelligence-driven methodologies. We aim to uncover new insights into nonlinear dynamics, non-self-adjoint operator spectra, and analytical properties in complex systems. By integrating machine learning with advanced mathematical frameworks, our work aspires to provide powerful computational and theoretical approaches for modeling, analysis, and prediction across diverse scientific and engineering applications.
Currently, I study the unsteady free convection of Williamson nanofluids over heated, permeable stretching sheets, focusing on how inclined magnetic fields and thermal radiation affect fluid flow and heat transfer. In complex analysis, I explore geometric function theory to deepen understanding of analytic mappings. While in spectral theory, I develop AI-driven models to solve eigenvalue problems in wave physics by leveraging Hermitian and skew-Hermitian operator relationships for efficient solutions in fluids and optics.
