I am a Visiting Assistant Professor of Mathematics at Ramapo College of New Jersey. I earned my Ph.D. in Applied Mathematics from the New Jersey Institute of Technology in 2025, where I was advised by Roy H. Goodman.
My research lies at the intersection of dynamical systems, Hamiltonian mechanics, geometric reduction, bifurcation theory, and mathematical fluid dynamics. I am particularly interested in the global phase-space geometry of point-vortex systems and in methods that preserve the geometric structure of Hamiltonian models.
Research Interests
- Nonlinear dynamics and dynamical systems
- Hamiltonian and geometric mechanics
- Bifurcation theory
- Point-vortex and vortex-dipole dynamics
- Structure-preserving reduction and computation
Education
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Ph.D. in Applied Mathematics, 2025
New Jersey Institute of Technology -
M.Sc. in Applied Mathematics, 2017
National Institute of Technology Warangal -
B.Sc. (Honors) in Mathematics, 2015
Ramjas College, University of Delhi