Luchezar L. Avramov

Luchezar L. Avramov's AcademicInfluence.com Rankings

Luchezar L. Avramov

Mathematics

#4103

World Rank

#5901

Historical Rank

#1451

USA Rank

Ring Theory

#13

World Rank

#16

Historical Rank

USA Rank

Algebraic Topology

#44

World Rank

#55

Historical Rank

#18

USA Rank

Algebra

#158

World Rank

#246

Historical Rank

#40

USA Rank

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Mathematics

Why Is Luchezar L. Avramov Influential?

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According to Wikipedia, Luchezar L. Avramov is a Bulgarian-American mathematician who works in commutative algebra. He held the Dale M. Jensen Chair in Mathematics at the University of Nebraska, and is now an Emeritus. Avramov was educated at Moscow State University, earning a master's degree in 1970, a Ph.D. in 1975 , and a D.Sc. in 1986. He worked for the Bulgarian Academy of Sciences in 1970–1981 and 1989–1990, and Sofia University in 1981–1989, before moving to the United States in 1991 to become a professor at Purdue University. He moved again to the University of Nebraska in 2002.

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Luchezar L. Avramov'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

Infinite Free Resolutions (1998) (343)
Homological dimensions of unbounded complexes (1991) (304)
Complete intersection dimension (1997) (239)
Support varieties and cohomology over complete intersections (2000) (216)
Interactions between Homotopy Theory and Algebra (2007) (120)
Structure of Local Homomorphisms (1994) (113)
Through the looking glass: A dictionary between rational homotopy theory and local algebra (1986) (95)
Locally Gorenstein homomorphisms (1992) (87)
Homological Asymptotics of Modules over Local Rings (1989) (73)
Homological Algebra Modulo a Regular Sequence with Special Attention to Codimension Two (2000) (65)
OBSTRUCTIONS TO THE EXISTENCE OF MULTIPLICATIVE STRUCTURES ON MINIMAL FREE RESOLUTIONS (1981) (63)
Cohomology Operators Defined By A Deformation (1998) (62)
Homology algebra of the Koszul complex of a local Gorenstein ring (1971) (57)
Homology of local flat extensions and complete intersection defects (1977) (56)
Finite regularity and Koszul algebras (2001) (47)
Cohen–Macaulay Properties of Ring Homomorphisms (1998) (43)
ON THE HOPF ALGEBRA OF A LOCAL RING (1974) (37)
Local rings over which all modules have rational Poincaré series (1994) (35)
Lower bounds for Betti numbers (1993) (32)
Frobenius powers of complete intersections (2001) (31)
Modules with extremal resolutions (1996) (30)
Bass series of local ring homomorphisms of finite flat dimension (1993) (28)
Commutative Algebra: Interactions with Algebraic Geometry (2003) (23)
Descent and ascent of local properties along homomorphisms of finite flat dimension (1985) (22)
Resolutions and cohomology over complete intersections (2002) (21)
Jacobian criteria for complete intersections. The graded case (1994) (17)
On the non-vanishing of cotangent cohomology (1987) (15)
Algebra Some Current Trends (1988) (14)
Laurent coefficients and Ext of finite graded modules (1994) (12)
Gorenstein local homomorphisms (1990) (12)
Pseudo-reflection group actions on local rings (1982) (11)
Bass numbers and Golod rings. (1982) (7)
Homotopy Lie algebras and Poincaré series of algebras with monomial relations (2002) (5)
Local algebra and rational homotopy (2019) (4)
Local algebra and rational homotopy (2019) (4)
ON THE HOMOLOGY OF A TENSOR PRODUCT OF LOCAL RINGS (1975) (4)
Differential Graded Models for Local Rings (Commutative Algebra and Algebraic Geometry) (1981) (2)
Foreword [Special issue in honor of Phil Griffith] (2007) (1)
Algebra: Some Current Trends : Proceedings of the 5th National School in Algebra Held in Varna, Bulgaria, Sept. 24-Oct. 4, 1986 (1988) (1)
Trends in Commutative Algebra (2011) (1)
Hochschild Cohomology in Algebra, Geometry, and Topology (2016) (0)
On the structure of the homotopy Lie algebra of a local ring (2019) (0)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: Obstructions to the existence of a multiplicative structure on minimal resolutions (1983) (0)
Bass Series of Local Homomorphisms of Finite Flat Dimension (1993) (0)
Trends in Commutative Algebra: Preface (2004) (0)
Commutative Algebra and Algebraic Geometry Algèbre commutative et géométrie algébrique (Org: Ragnar-Olaf Buchweitz (Toronto), Graham Leuschke (Syracuse) and/et Greg Smith (Queen’s)) (2007) (0)
Illinois Journal of Mathematics: Foreword (2007) (0)
On the structure of the homotopy Lie algebra of a local ring (2019) (0)

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Luchezar L. Avramov's Academic­Influence.com Rankings

Why Is Luchezar L. Avramov Influential?

Luchezar L. Avramov's Published Works

Published Works

Other Resources About Luchezar L. Avramov

What Schools Are Affiliated With Luchezar L. Avramov?

Luchezar L. Avramov's AcademicInfluence.com Rankings