I am a Teaching Assistant Professor of Mathematics at Lander University. I earned my Ph.D. in Applied Mathematics from the New Jersey Institute of Technology in 2025 under the supervision of Roy H. Goodman. Prior to joining Lander University, I served as a Visiting Assistant Professor of Mathematics at Ramapo College of New Jersey.
My research lies at the intersection of dynamical systems, Hamiltonian mechanics, geometric mechanics, bifurcation theory, and mathematical fluid dynamics. My work focuses on the qualitative behavior of nonlinear Hamiltonian systems, with particular emphasis on the global phase-space geometry of point-vortex dynamics, geometric reduction, bifurcation analysis, and structure-preserving analytical and computational methods.
Research Interests
- Nonlinear Dynamics and Dynamical Systems
- Hamiltonian and Geometric Mechanics
- Geometric Reduction and Symmetry
- Point-Vortex Dynamics and Mathematical Fluid Dynamics
- Bifurcation Theory and Stability Analysis
- Structure-Preserving Methods and Scientific Computing
Education
Ph.D. in Applied Mathematics
New Jersey Institute of Technology
2025
M.Sc. in Applied Mathematics
National Institute of Technology Warangal
2017
B.Sc. (Honors) in Mathematics
Ramjas College, University of Delhi
2015