Faculty Guide

Title

Professor of Mathematics

Mathematics

Expertise

Dynamical systems. Ergodic theory. Number theory.

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)

Courses Taught

MATH	20a	Techniques of Calculus: Calculus of Several Variables
MATH	22a	Linear Algebra and Intermediate Calculus, Part I
MATH	28a	Introduction to Groups
MATH	36a	Probability
MATH	47a	Introduction to Mathematical Research
MATH	141a	Real Analysis
MATH	200a	Second-Year Seminar
MATH	204a	T.A. Practicum
MATH	211a	Topics in Differential Geometry and Analysis I
MATH	212b	Functional Analysis
MATH	224b	Lie Groups

Scholarship

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.