Rakesh

Rakesh is a Professor in the Department of Mathematical Sciences at the University of Delaware (UD), part of the College of Arts & Sciences. He holds a BA(Hons) and MA from the University of Delhi, India, and a PhD from Cornell University, USA. His research focuses on inverse problems for hyperbolic partial differential equations (PDEs), including the Fixed Angle Scattering Problem, Backscattering Problem, and Inversion of the Spherical Mean Value Operator. He has also contributed to dynamical systems, geometry, probability, and economics.

• Education:
  • BA(Hons) in Mathematics, University of Delhi
  • MA in Mathematics, University of Delhi
  • PhD in Mathematics, Cornell University

His research emphasizes theoretical and applied aspects of inverse problems, such as uniqueness, stability, and inversion techniques for hyperbolic PDEs. Recent work includes contributions to formally determined inverse problems in Lorentzian and Riemannian geometries. Earlier research included studies on the spherical mean value operator and one-dimensional hyperbolic inverse problems.

His publications span over 30 years, addressing topics like wave equation inverse problems, dynamic pricing models, and spectral analysis of Brownian motion. He has been on sabbatical for 2025.

Rakesh collaborates internationally, with notable co-authors including Mikko Salo, Gunther Uhlmann, and Paul Sacks. His work bridges pure and applied mathematics, with applications in physics, engineering, and economics.