Dr. Atul Anurag

I am working as a Visiting Assistant Professor of Mathematics at the Ramapo College of New Jersey. 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.

Dr. Atul Anurag

I am working as a Visiting Assistant Professor of Mathematics at the Ramapo College of New Jersey. I received my Bachelor’s degree in Mathematics in 2015 from Ramjas College, …

avatar
Dr. Atul Anurag

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 …

avatar
Dr. Atul Anurag

The Phase Space of the Three-Vortex Problem

avatar
Dr. Atul Anurag

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 …

avatar
Dr. Atul Anurag

Point Vortex Dipole Scattering

avatar
Dr. Atul Anurag