Research Assistant, Department of Mathematical Sciences
About Me
I obtained a Bachelor’s degree (2015) in mathematics from Ramjas College, University of Delhi, and a Master’s degree (2017) in applied mathematics from National Institute of Technology, Warangal, Telangana. I obtained my Ph.D. (2025) in applied mathematics department at the Department of Mathematical Sciences, New Jersey Institute of Technology, under the supervision of Dr. Roy Goodman.
- Nonlinear Dynamics
- Dynamical Systems
- Bifurcation Theory
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PhD Applied Mathematics, 2025
New Jersey Institute of Technology
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MSc Applied Mathematics, 2017
National Institute of Technology, Warangal, India
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BSc Honours Mathematics, 2015
Ramjas College, University of Delhi, India
We derive a symplectic reduction of the evolution equations for a system of three point vortices and use the reduced system to succinctly explain a kind of bifurcation diagram that has appeared in the literature in a form that was difficult to understand and interpret. The reduction proceeds in two steps: a reduction to Jacobi coordinates and a Lie-Poisson reduction.
Apr 22, 2025
We use Jacobi coordinates and Nambu brackets to derive a new representation of the motion of three vortices which, unlinke all previous reductions, introduces no singularities into the system. We use this to study the scattering of dipoles by stationary vortices.
Jun 6, 2024
