About Me
Beginning in Fall 2025, I will be joining Ramapo College of New Jersey as a Visiting Assistant Professor of Mathematics. I received my Bachelor’s degree in Mathematics in 2015 from Ramjas College, University of Delhi, and a Master’s degree in Applied Mathematics in 2017 from the National Institute of Technology, Warangal, Telangana.
I earned my Ph.D. in Applied Mathematics in 2025 from the Department of Mathematical Sciences, New Jersey Institute of Technology, where I was advised by 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
