Gregory Margulis

Research.com Recognitions

• 2020 - Abel Prize For pioneering the use of methods from probability and dynamics in group theory, number theory and combinatorics.
• 2013 - Fellow of the American Mathematical Society
• 2005 - Wolf Prize in Mathematics for his monumental contributions to algebra, in particular to the theory of lattices in semi-simple Lie groups, and striking applications of this to ergodic theory, representation theory, number theory, combinatorics, and measure theory.
• 2001 - Member of the National Academy of Sciences
• 1992 - Fellow of the American Academy of Arts and Sciences
• 1978 - Fields Medal of International Mathematical Union (IMU) Provided innovative analysis of the structure of Lie groups. His work belongs to combinatorics, differential geometry, ergodic theory, dynamical systems, and Lie groups.

Overview

Best Publications

• Discrete subgroups of semisimple Lie groups

  Gregori Aleksandrovitch Margulis

  1956
  Citations

• Flows on homogeneous spaces and Diophantine approximation on manifolds

  Dmitry Ya. Kleinbock;Grigory A. Margulis

  573
  Citations

• Explicit constructions of graphs without short cycles and low density codes

  G. A. Margulis

  443
  Citations

• Applications of ergodic theory to the investigation of manifolds of negative curvature

  Unknown

  321
  Citations

• Logarithm laws for flows on homogeneous spaces

  D. Y. Kleinbock;G. A. Margulis

  320
  Citations

• On Some Aspects of the Theory of Anosov Systems

  Grigoriy A. Margulis

  307
  Citations

• Limit distributions of orbits of unipotent flows and values of quadratic forms

  Unknown

  241
  Citations

• UPPER BOUNDS AND ASYMPTOTICS IN A QUANTITATIVE VERSION OF THE OPPENHEIM CONJECTURE

  Alex Eskin;Gregory Margulis;Shahar Mozes

  232
  Citations

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

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

  222
  Citations

• Invariant measures for actions of unipotent groups over local fields on homogeneous spaces

  G. A. Margulis;G. M. Tomanov

  207
  Citations

• A Multiplicative Ergodic Theorem and Nonpositively Curved Spaces

  Anders Karlsson;Gregory A. Margulis

  163
  Citations

• Semigroups containing proximal linear maps

  H. Abels;G. A. Margulis;G. A. Soifer

  160
  Citations

• Complete affine locally flat manifolds with a free fundamental group

  Unknown

  133
  Citations

• Some remarks on the definition of tangent cones in a Carnot-Carathéodory space

  G. A. Margulis;G. D. Mostow

  132
  Citations

• Discrete Subgroups and Ergodic Theory

  Unknown

  132
  Citations

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

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

  127
  Citations

• Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces

  Manfred Einsiedler;Gregory Margulis;Akshay Venkatesh

  125
  Citations

• Some remarks on invariant means

  G. A. Margulis

  122
  Citations

• Free subgroups of the homeomorphism group of the circle

  Gregory Margulis

  112
  Citations

• Arithmeticity of the irreducible lattices in the semi-simple groups of rank greater than 1

  Unknown

  112
  Citations

• Quadratic forms of signature (2, 2) and eigenvalue spacings on rectangular 2-tori

  Alex Eskin;Gregory Margulis;Shahar Mozes

  111
  Citations

• Dynamical and ergodic properties of subgroup actions on homogeneous spaces with applications to number theory

  G. A. Margulis

  106
  Citations

• Finitely-additive invariant measures on Euclidean spaces

  G. A. Margulis

  104
  Citations

• THE DIFFERENTIAL OF A QUASI-CONFORMAL MAPPING OF A CARNOT-CARATHEODORY SPACE

  G. A. Margulis;G. D. Mostow

  103
  Citations

• Some linear groups virtually having a free quotient.

  G.A. Margulis;È.B. Vinberg

  79
  Citations