2026 Dmitry Kleinbock: Mathematics Researcher – H-Index, Publications & Awards

Research.com Recognitions

2017 - Fellow of the American Mathematical Society For contributions to homogeneous dynamics and its applications to number theory, especially in metric Diophantine approximation.
2001 - Fellow of Alfred P. Sloan Foundation

Overview

Dmitry Kleinbock is affiliated with Brandeis University in the United States and specializes in mathematics, with a focus on mathematical physics, geometry and topology, and applied mathematics. Their research spans multiple subfields including statistical and nonlinear physics and computational theory and mathematics.

The scientist's main topics of work include:

Mathematical Dynamics and Fractals
Quantum chaos and dynamical systems
Geometry and complex manifolds
Geometric and Algebraic Topology
Algebraic Geometry and Number Theory
Advanced mathematical theories
Stochastic processes and statistical mechanics

Frequent coauthors collaborating with Dmitry Kleinbock include:

Anurag Rao
Shahriar Mirzadeh
Mishel Skenderi
Baowei Wang
Reynold Fregoli

Their studies have been published in several venues. Notably frequent publication sources are:

arXiv (Cornell University)
Advances in Mathematics
Journal of the European Mathematical Society
Nonlinearity
Monatshefte für Mathematik

Dmitry Kleinbock has contributed to numerous papers, including the following recent works:

Intrinsic Diophantine approximation on quadric hypersurfaces, 2021, Journal of the European Mathematical Society
Khintchine-type theorems for values of subhomogeneous functions at integer points, 2021, Monatshefte für Mathematik
Dynamical Borel-Cantelli lemma for recurrence under Lipschitz twists, 2023, Nonlinearity
On the dimension drop conjecture for diagonal flows on the space of lattices, 2023, Advances in Mathematics
A measure estimate in geometry of numbers and improvements to Dirichlet's theorem, 2022, Proceedings of the London Mathematical Society

Among their recognitions, Dmitry Kleinbock was named a Fellow of the American Mathematical Society in 2017, acknowledged for contributions to homogeneous dynamics and its applications to number theory, particularly in metric Diophantine approximation. Earlier, in 2001, they received the Alfred P. Sloan Foundation Fellowship.

Best Publications

Flows on homogeneous spaces and Diophantine approximation on manifolds

Dmitry Ya. Kleinbock;Grigory A. Margulis

573
Citations
Logarithm laws for flows on homogeneous spaces

D. Y. Kleinbock;G. A. Margulis

320
Citations
Khintchine-type theorems on manifolds: the convergence case for standard and multiplicative versions

V. Bernik;D. Kleinbock;G. A. Margulis

222
Citations
On fractal measures and diophantine approximation

Dmitry Kleinbock;Elon Lindenstrauss;Elon Lindenstrauss;Barak Weiss

214
Citations
Dynamical Borel-Cantelli lemmas for gibbs measures

N. Chernov;D. Kleinbock

191
Citations
BOUNDED ORBITS OF NONQUASIUNIPOTENT FLOWS ON HOMOGENEOUS SPACES

D. Y. Kleinbock;Dani Dan

169
Citations
Flows on S-arithmetic homogeneous spaces and applications to metric Diophantine approximation

Dmitry Kleinbock;Georges Tomanov

151
Citations
DIRICHLET'S THEOREM ON DIOPHANTINE APPROXIMATION AND HOMOGENEOUS FLOWS

Dmitry Kleinbock;Barak Weiss

136
Citations
THE SET OF BADLY APPROXIMABLE VECTORS IS STRONGLY C 1 INCOMPRESSIBLE

Ryan Broderick;Lior Fishman;Dmitry Kleinbock;Asaf Reich

132
Citations
Metric Diophantine approximation: The Khintchine--Groshev theorem for non-degenerate manifolds

V. Beresnevich;V. Bernik;D. Kleinbock;G. A. Margulis

127
Citations
Extremal subspaces and their submanifolds

D. Kleinbock

127
Citations
Badly approximable vectors on fractals

Dmitry Kleinbock;Barak Weiss

125
Citations
Dynamics of Subgroup Actions on Homogeneous Spaces of Lie Groups and Applications to Number Theory

Dmitry Kleinbock;Nimish Shah

112
Citations
An extension of quantitative nondivergence and applications to Diophantine exponents

Dmitry Kleinbock

99
Citations
Modified Schmidt games and Diophantine approximation with weights

Dmitry Kleinbock;Barak Weiss

89
Citations
Flows on homogeneous spaces and Diophantine properties of matrices

Dmitry Y. Kleinbock

76
Citations
A zero-one Law for improvements to Dirichlet's Theorem

Dmitry Kleinbock;Nick Wadleigh

73
Citations
Chapter 11 Dynamics of subgroup actions on homogeneous spaces of lie groups and applications to number theory

Dmitry Kleinbock;Nimish Shah;Alexander Starkov

67
Citations
On nonlinear interface dynamics in Hele-Shaw flows

V. M. Entov;P. I. Etingof;D. Ya. Kleinbock

60
Citations
Singular systems of linear forms and non-escape of mass in the space of lattices

S. Kadyrov;D. Y. Kleinbock;E. Lindenstrauss;G. A. Margulis

57
Citations

Frequent Co-Authors

Gregory Margulis Yale University

Elon Lindenstrauss Hebrew University of Jerusalem

Yann Bugeaud University of Strasbourg

Nikolai Chernov University of Alabama at Birmingham

Pavel Etingof MIT

External Links

Personal website of Dmitry Kleinbock

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