# Dmitry Kleinbock

Degrees

Yale University, Ph.D.Moscow Gubkin Institute, M.S.

Expertise

Dynamical systems. Ergodic theory. Number theory.Profile

Ph.D. (1996, Yale University), at Brandeis since 2000. WebpageCourses Taught

MATH | 20a | Techniques of Calculus: Calculus of Several Variables |

MATH | 28a | Introduction to Groups |

MATH | 36a | Probability |

MATH | 47a | Introduction to Mathematical Research |

MATH | 110b | Introduction to Real Analysis, Part II |

MATH | 141a | Real Analysis |

MATH | 200a | Second-Year Seminar |

MATH | 204a | T.A. Practicum |

MATH | 224b | Lie Groups |

Awards and Honors

Dynamics on Parameter Spaces Grant from US-Israel Binational Science Foundation (2011)

Dynamics on Parameter Spaces Grant from US-Israel Binational Science Foundation (2005)

NSF CAREER Grant DMS-0239463 (2003 - 2008)

Alfred P. Sloan Foundation Fellowship Award (2001 - 2003)

E.D. Bergmann Memorial Award (2001 - 2004)

Alfred P.Sloan Graduate Dissertation Fellowship (1995 - 1996)

J. F. Edwards Research Grant (Yale) (1995 - 1996)

Scholarship

Kleinbock, Dmitry and Weiss, Barak. "Modified Schmidt games and a conjecture of Margulis." __Journal of Modern Dynamics__ 7. 3 (2014): 429-460.

Kleinbock, Dmitry, Robert A. Meyers. "Ergodic theory on homogeneous spaces and metric number theory." __Encyclopedia of Complexity and Systems Science__. 2013.

Kleinbock, Dmitry; Margulis, Gregory. "On effective equidistribution of expanding translates of certain orbits in the space of lattices." __Number theory, Analysis and Geometry, in memory of Serge Lang__. 1 ed. vol. 1 Ed. Dorian Goldfeld et al. New York: Springer, 2012. 385-396.

Ryan Broderick, Dmitry Kleinbock, Lior Fishman, Asaf Reich and Barak Weiss. "The set of badly approximable vectors is strongly C^1 incompressible." __Math. Proc. Camb. Phil. Soc.__ 153. 2 (2012): 319-339.

R. Broderick, L. Fishman and D. Kleinbock. "Schmidt's game, fractals, and orbits of toral endomorphisms." __Ergodic Theory Dynam. Systems__ 31. 4 (2011): 1095–1107.

Broderick, Ryan; Bugeaud, Yann; Fishman, Lior; Kleinbock, Dmitry; Weiss, Barak. "Schmidt's game, fractals, and numbers normal to no base." __Math. Res. Letters__ 17. (2010): 307-321.

Kleinbock, Dmitry. "An `almost all versus no' dichotomy in homogeneous dynamics and Diophantine approximation." __Geom. Dedicata__ 149. (2010): 205-218.

Kleinbock, Dmitry. "Quantitative nondivergence and its Diophantine applications." __Proceedings of the CMI Summer School on "Homogeneous Flows, Moduli Spaces and Arithmetic''__. vol. 10 Providence, RI: AMS, 2010. 131-153.

Kleinbock, Dmitry; Weiss, Barak. "Modified Schmidt games and Diophantine approximation with weights." __Advances in Math.__ 223. (2010): 1276-1298.

Kleinbock, Dmitry; Margulis, Gregory; Wang, Junbo. "Metric Diophantine approximation for systems of linear forms via dynamics." __Int. J. Number Theory__ 6. 5 (2010): 1139-1168.

Kleinbock, Dmitry and Weiss, Barak. "Friendly measures, homogeneous flows and Dirichlet's Theorem." __J. Mod. Dyn__ 2. 1 (2008): 43-62.

Kleinbock, Dmitry. "An extension of quantitative nondivergence and applications to Diophantine exponents." __Trans. Amer. Math.Soc.__ 360. (2008): 6497--6523.

Kleinbock, Dmitry. "Diophantine properties of measures and homogeneous dynamics." __Pure and Applied Math Quarterly__ 4. 1 (2008): 81-97.

Kleinbock, Dmitry and Einsiedler, Manfred. "Measure rigidity and p-adic Littlewood-type problems." __Compositio Math.__ 143. (2007): 689-702.

Kleinbock, Dmitry and Tomanov, George. "Flows on S-arithmetic homogeneous spaces and applications to metric Diophantine approximation." __Comm. Math. Helv.__ 82. (2007): 519-581.