Nimish Shah

Nimish Shah is a Professor in the Department of Mathematics at The Ohio State University, Columbus, Ohio. His research focuses on Ergodic Theory, Homogeneous Spaces of Lie Groups, and their applications to Number Theory. He holds a PhD from the Tata Institute of Fundamental Research (1994) and has authored over 40 publications.

Research Interests: Shah’s work centers on dynamics on homogeneous spaces, including equidistribution problems, limit distributions, and applications to Diophantine approximation. His studies often involve unipotent flows, lattice actions, and geometric aspects of Lie groups.

Publications Trends: Recent work (2023–2025) emphasizes expanding translates of geometric objects (curves, manifolds) and their equidistribution properties, with applications to Dirichlet-type approximation theorems. Earlier work (2009–2018) explored limit distributions of geodesics and integral points on hyperbolic manifolds.

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