Nimish A. Shah
Mathematics · The Ohio State University
Publications
45
Citations
1,068
Est. group size
—
Recurring co-author estimate
Active years
36
Publishing since 1991
Nimish A. Shah works in ergodic theory and homogeneous dynamics, studying how flows on spaces of lattices and related geometric structures spread out over time (a property called equidistribution). This work connects to Diophantine approximation, the study of how well irrational numbers can be approximated by rational ones, including quantitative and dimension-based estimates of exceptional ('singular') points. Students in this area would engage with abstract dynamical systems and number theory, often using tools from algebra and geometry.
Publication output has been steady to slightly increasing over the last decade, with a noticeable rise in output during 2022-2026.
Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026
- Isolation, Screening and Characterization of Protease Producing Bacteria: Comparative Analysis of Solid-State and Submerged Fermentation Methods
Oxford Journal of Student Scholarship · 2026
- Birkhoff genericity on affine subspaces in horospheres
arXiv (Cornell University) · 2026
- Birkhoff genericity on affine subspaces in horospheres
arXiv (Cornell University) · 2026
- An upper bound of the Hausdorff dimension of singular vectors on affine subspaces
Transactions of the American Mathematical Society Series B · 2024
- Equidistribution of non-uniformly stretching translates of shrinking smooth curves and weighted Dirichlet approximation
Mathematische Zeitschrift · 2024
- An effective closing lemma for unipotent flows
arXiv (Cornell University) · 2024
- Quantitative behavior of unipotent flows and an effective avoidance principle
Journal d Analyse Mathématique · 2023
- Limit distributions of expanding translates of shrinking submanifolds and non-improvability of Dirichlet's approximation theorem
Journal of Modern Dynamics · 2023
- An upper bound of the Hausdorff dimension of singular vectors on affine subspaces
arXiv (Cornell University) · 2023
- Equidistribution in the space of 3-lattices and Dirichlet-improvable vectors on planar lines
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE · 2022
- Equidistribution of non-uniformly stretching translates of shrinking smooth curves and weighted Dirichlet approximation
arXiv (Cornell University) · 2022
- Equidistribution of expanding degenerate manifolds in the space of lattices
arXiv (Cornell University) · 2021
- Primitive rational points on expanding horocycles in products of the modular surface with the torus
Ergodic Theory and Dynamical Systems · 2020
- Primitive rational points and higher powers on expanding horocycles in the modular surface
arXiv (Cornell University) · 2019
- Expanding translates of shrinking submanifolds in homogeneous spaces and Diophantine approximation
arXiv (Cornell University) · 2018
- arXiv (Cornell University)×10
- Ergodic Theory and Dynamical Systems×1
- Transactions of the American Mathematical Society Series B×1
- Cambridge University Press eBooks×1
- Journal d Analyse Mathématique×1
- Michael Bersudsky
Mathematics · The Ohio State University
- Marlies Gerber
Mathematics · Indiana University
- Kevin M. Pilgrim
Mathematics · Indiana University
- Andrey Gogolev
Mathematics · The Ohio State University
- Chris Judge
Mathematics · Indiana University
This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.
Last updated Jul 19, 2026.
Claim or correct this profile