Anudeep Kumar

Anudeep Kumar is a Visiting Assistant Professor in the Department of Mathematics at the University of Rochester, affiliated with the School of Arts & Sciences. His work focuses on nonlinear partial differential equations, mathematical physics, and Schrödinger-type equations. He holds an office in the Hylan Building and can be reached at akumar57@ur.rochester.edu.

His research explores critical phenomena in nonlinear PDEs, including well-posedness theory, blow-up dynamics, scattering thresholds, and singularity formation in equations like the Hartree equation and nonlinear Schrödinger equations. Recent work addresses self-bound vortex states with LHY corrections and global behavior analysis of focusing equations.

Publications span topics such as weighted space well-posedness, threshold solutions, and scattering properties of radial data, demonstrating expertise in both analytical techniques and applied mathematical physics. No scientific awards or grants are explicitly listed in the provided materials.