Professional Summary
About Me
I am a Visiting Assistant Professor of Mathematics at Ramapo College of New Jersey.
I received my PhD in Applied Mathematics (2025) from the Department of Mathematical Sciences at the New Jersey Institute of Technology, where I was advised by Roy Goodman.
My research focuses on nonlinear dynamics, dynamical systems, and vortex motion.
Education
PhD Applied Mathematics (2025)
New Jersey Institute of Technology
MSc Applied Mathematics (2017)
National Institute of Technology, Warangal
BSc (Hons) Mathematics (2015)
University of Delhi
Interests
Phase portraits and the bifurcation set for the three-vortex interaction system
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 …
A new canonical reduction of three-vortex motion and its application to vortex-dipole scattering
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 …
