Grigory Margulis

Q: What Schools Are Affiliated With Grigory Margulis

Grigory Margulis is affiliated with the following schools: Yale University, Rutgers University

Grigory Margulis's AcademicInfluence.com Rankings

Grigory Margulis

Mathematics

#74

World Rank

#212

Historical Rank

#27

USA Rank

Number Theory

#16

World Rank

#32

Historical Rank

USA Rank

Measure Theory

#86

World Rank

#140

Historical Rank

#44

USA Rank

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Mathematics

Why Is Grigory Margulis Influential?

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According to Wikipedia, Grigory Aleksandrovich Margulis is a Russian-American mathematician known for his work on lattices in Lie groups, and the introduction of methods from ergodic theory into diophantine approximation. He was awarded a Fields Medal in 1978, a Wolf Prize in Mathematics in 2005, and an Abel Prize in 2020, becoming the fifth mathematician to receive the three prizes. In 1991, he joined the faculty of Yale University, where he is currently the Erastus L. De Forest Professor of Mathematics.

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Grigory Margulis's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Discrete Subgroups of Semisimple Lie Groups (1991) (1464)
Flows on homogeneous spaces and Diophantine approximation on manifolds (1998) (371)
Explicit constructions of graphs without short cycles and low density codes (1982) (333)
Applications of ergodic theory to the investigation of manifolds of negative curvature (1969) (302)
Logarithm laws for flows on homogeneous spaces (1998) (250)
Limit distributions of orbits of unipotent flows and values of quadratic forms (1993) (216)
UPPER BOUNDS AND ASYMPTOTICS IN A QUANTITATIVE VERSION OF THE OPPENHEIM CONJECTURE (1998) (187)
Khintchine-type theorems on manifolds: the convergence case for standard and multiplicative versions (2002) (141)
Discrete Subgroups and Ergodic Theory (1989) (133)
A Multiplicative Ergodic Theorem and Nonpositively Curved Spaces (1999) (132)
Complete affine locally flat manifolds with a free fundamental group (1987) (126)
Arithmeticity of the irreducible lattices in the semi-simple groups of rank greater than 1 (1984) (112)
Some remarks on invariant means (1980) (95)
Finitely-additive invariant measures on Euclidean spaces (1982) (94)
Metric Diophantine approximation: The Khintchine--Groshev theorem for non-degenerate manifolds (2002) (94)
Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces (2007) (93)
Indefinite quadratic forms and unipotent flows on homogeneous spaces (1989) (93)
Certain measures associated with U-flows on compact manifolds (1970) (89)
Some remarks on the definition of tangent cones in a Carnot-Carathéodory space (2000) (87)
Dynamical and ergodic properties of subgroup actions on homogeneous spaces with applications to number theory : plenary address, International Congress of Mathematicians, Kyoto, Japan, August 1990 (1990) (82)
Finiteness of quotient groups of discrete subgroups (1979) (82)
Maximal subgroups of infinite index in finitely generated linear groups (1981) (79)
Free subgroups of the homeomorphism group of the circle (2000) (76)
Quadratic forms of signature (2, 2) and eigenvalue spacings on rectangular 2-tori (2005) (74)
Almost isometric actions, property (T), and local rigidity (2003) (69)
Proper affine actions and geodesic flows of hyperbolic surfaces (2004) (64)
Some linear groups virtually having a free quotient. (2000) (63)
On the Zariski Closure of the Linear Part of a Properly Discontinuous Group of Affine Transformations (2002) (59)
Flat Lorentz 3-Manifolds and Cocompact Fuchsian Groups (2000) (58)
Rigidity of weakly hyperbolic actions of higher real rank semisimple Lie groups and their lattices (2001) (56)
Arithmetic Properties of Discrete Subgroups (1974) (53)
Existence of compact quotients of homogeneous spaces, measurably proper actions, and decay of matrix coefficients (1997) (49)
Singular systems of linear forms and non-escape of mass in the space of lattices (2014) (48)
Aperiodic tilings of the hyperbolic plane by convex polygons (1998) (48)
Measure rigidity for almost linear groups and its applications (1996) (42)
ON THE ACTION OF UNIPOTENT GROUPS IN A LATTICE SPACE (1971) (41)
Invariant analytic hypersurfaces (1983) (39)
Closed geodesics and holonomies for Kleinian manifolds (2014) (38)
Lie groups and ergodic theory (1988) (38)
Effective estimates on indefinite ternary forms (2014) (37)
On effective equidistribution of expanding translates of certain orbits in the space of lattices (2007) (35)
Quantitative Version of the Oppenheim Conjecture for Inhomogeneous Quadratic Forms (2010) (34)
Analogs of Wiener's ergodic theorems for semisimple Lie groups. II (2000) (32)
Metric Diophantine approximation for systems of linear forms via dynamics (2009) (28)
Local rigidity of affine actions of higher rank groups and lattices (2004) (28)
Arithmeticity of hyperbolic $3$ -manifolds containing infinitely many totally geodesic surfaces (2019) (24)
The Auslander conjecture for dimension less than 7 (2012) (21)
Values of Random Polynomials at Integer Points (2018) (21)
Non-planarity and metric Diophantine approximation for systems of linear forms (2013) (16)
On the proportionality of covolumes of discrete subgroups (1986) (15)
Quantitative behavior of unipotent flows and an effective avoidance principle (2019) (14)
Compactness of minimal closed invariant sets of actions of unipotent groups (1991) (12)
Effective Estimates on Integral Quadratic Forms: Masser’s Conjecture, Generators of Orthogonal Groups, and Bounds in Reduction Theory (2016) (12)
Measure rigidity for algebraic groups over local fields (1992) (11)
A Panorama in Number Theory or The View from Baker's Garden: Diophantine Approximation, Lattices and Flows on Homogeneous Spaces (2002) (11)
Arithmeticity of nonuniform lattices in weakly noncompact groups (1975) (11)
Erratum to: Logarithm laws for flows on homogeneous spaces (2018) (8)
On a quantitative version of the Oppenheim conjecture (1995) (8)
On the limit distributions of orbits of unipotent flows and integral solutions of quadratic inequalities (1992) (7)
On Deformations of F N in Compact Lie Groups (2008) (6)
Entropy in the cusp and singular systems of linear forms (2014) (5)
Arithmetic character and finite-dimensional representations of uniform lattices (1974) (4)
Logarithm Laws for Unipotent Flows, II (2014) (4)
Arithmeticality of nonuniform lattices (1973) (4)
Effective Discreteness Radius of Stabilizers for Stationary Actions (2021) (2)
Conformal Actions on Homogeneous Lorentzian Manifolds (2010) (2)
ON LOGARITHM LAWS FOR DYNAMICAL SYSTEMS (1995) (1)
Communications of the Moscow Mathematical Society: Non-Free Maximal Subgroups of Infinite Index of the Group SLn(Z) (1979) (1)
ON A QUANTITATIVE VERSION OF THE OPPENHEIMCONJECTURE (1995) (0)
Distance-like functions and smooth approximations: a correction to "Logarithm laws for flows on homogeneous spaces" (2017) (0)
ERGODIC THEORY FROM HUMSAN TO VIENNA (2006) (0)
Closed geodesics and holonomies for Kleinian manifolds (2014) (0)
New bounds in reduction theory of indefinite ternary integral quadratic forms (2017) (0)
HOMOGENEOUS DYNAMICS AND NUMBER THEORY (2008) (0)
Effective estimates on indefinite ternary forms (2014) (0)
VANISHING OF FIRST COHOMOLOGY FOR ARITHMETIC GROUPS OF HIGHER REAL RANK (AFTER G. A. MARGULIS) (2014) (0)
ARITHMETICITY OF HYPERBOLIC 3-MANIFOLDS WITH INFINITELY MANY TOTALLY GEODESIC SURFACES (2019) (0)
Effective Estimates on Integral Quadratic Forms: Masser’s Conjecture, Generators of Orthogonal Groups, and Bounds in Reduction Theory (2016) (0)

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