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
-
๐ Ph.D. in Applied Mathematics, 2025
New Jersey Institute of Technology -
๐ M.Sc. in Applied Mathematics, 2017
National Institute of Technology Warangal -
๐ B.Sc. (Honors) in Mathematics, 2015
Ramjas College, University of Delhi