Luchezar L. Avramov

Luchezar L. Avramov's AcademicInfluence.com Rankings

Luchezar L. Avramov

Mathematics

#8421

World Rank

#11449

Historical Rank

Algebraic Topology

#42

World Rank

#53

Historical Rank

Algebra

#740

World Rank

#966

Historical Rank

Measure Theory

#4112

World Rank

#4846

Historical Rank

mathematics Degrees

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Mathematics

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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

Absolute, Relative, and Tate Cohomology of Modules of Finite Gorenstein Dimension (2002) (375)
Modules of finite virtual projective dimension (1989) (175)
Poincaré series of modules over local rings of small embedding codepth or small linking number (1988) (104)
Homology of perfect complexes (2006) (102)
Resolutions of monomial ideals and cohomology over exterior algebras (1999) (97)
Complete intersections and symmetric algebras (1981) (91)
Small homomorphisms of local rings (1978) (79)
Locally complete intersection homomorphisms and a conjecture of Quillen on the vanishing of cotangent homology (1999) (72)
Reflexivity and rigidity for complexes, I: Commutative rings (2009) (68)
Regularity of modules over a Koszul algebra (1992) (65)
Homology over local homomorphisms (2003) (61)
Reduction of derived Hochschild functors over commutative algebras and schemes (2009) (59)
Subadditivity of syzygies of Koszul algebras (2013) (52)
Hochschild homology criteria for smoothness (1992) (49)
Constructing modules with prescribed cohomological support (2007) (47)
Class and rank of differential modules (2006) (45)
Extensions of a dualizing complex by its ring: commutative versions of a conjecture of Tachikawa (2002) (43)
Connected sums of Gorenstein local rings (2010) (43)
Factoring out the socle of a Gorenstein ring (1978) (41)
Free resolutions over short local rings (2007) (40)
Free resolutions over commutative Koszul algebras (2009) (37)
REFLEXIVITY AND RIGIDITY FOR COMPLEXES (2009) (37)
Stable cohomology over local rings (2005) (37)
A cohomological study of local rings of embedding codepth 3 (2011) (36)
HOMOLOGICAL DIMENSIONS AND RELATED INVARIANTS OF MODULES OVER LOCAL RINGS (2001) (27)
Quasi-complete intersection homomorphisms (2010) (26)
Gaps in Hochschild cohomology imply smoothness for commutative algebras (2004) (25)
Homological invariants of modules over contracting endomorphisms (2010) (21)
Singularities of quotients by vector fields in characteristicp (1986) (21)
Free Lie subalgebras of the cohomology of local rings (1982) (19)
Reflexivity and rigidity for complexes, II: Schemes (2010) (19)
Homology over trivial extensions of commutative DG algebras (2015) (17)
A periodic module of infinite virtual projective dimension (1989) (17)
André–Quillen homology of algebra retracts (2002) (16)
JACOBIAN CRITERIA FOR COMPLETE INTERSECTIONS (1994) (15)
Local rings of finite simplicial dimension (1984) (14)
Torsion in loop space homology (1986) (14)
Modules with prescribed cohomological support (2007) (13)
Restricting homology to hypersurfaces (2016) (13)
Finite generation of Hochschild homology algebras (2000) (12)
Persistence of homology over commutative noetherian rings (2020) (11)
Homological criteria for regular homomorphisms and for locally complete intersection homomorphisms (2005) (10)
Grothendieck's Localization Problem (2007) (9)
Detecting flatness over smooth bases (2010) (8)
Gorenstein algebras and Hochschild cohomology (2007) (8)
Corrigendum to “Homology of perfect complexes” [Adv. Math. 223 (5) (2010) 1731–1781] (2010) (8)
Triangulated Categories: Cohomology over complete intersections via exterior algebras (2010) (8)
Big Cohen-Macaulay Modules, Morphisms of Perfect Complexes, and Intersection Theorems in Local Algebra (2017) (5)
Short Koszul modules (2010) (5)
Interactions between homotopy theory and algebra : Summer School on Interactions between Homotopy Theory and Algebra, University of Chicago, July 26-August 6, 2004, Chicago, Illinois (2007) (5)
Betti Sequences over Standard Graded Commutative Algebras with Two Relations (2017) (3)
Bass numbers over local rings via stable cohomology (2012) (2)
THE WORK OF JAN-ERIK ROOS ON THE COHOMOLOGY OF COMMUTATIVE RINGS (2002) (2)
Factorial extensions of regular local rings and invariants of finite groups. (1996) (1)
When do the symmetric tensors of a commutative algebra form a Frobenius algebra (1982) (1)
Title: Commuting Elements and Group Cohomology Title: Reverse Homological Algebra over Local Rings (2012) (0)
2 3 A ug 2 00 5 STABLE COHOMOLOGY OVER LOCAL RINGS (0)
Polynomial growth of Betti sequences over local rings (2022) (0)
0 Ju l 2 00 7 FREE RESOLUTIONS OVER SHORT LOCAL RINGS (0)
On forms of G-graded simple algebras (2021) (0)
COHOMOLOGY OVER GRADED COMPLETE INTERSECTIONS OF CODIMENSION TWO (2014) (0)
Homological invariants of modules over contracting endomorphisms (2011) (0)
Special issue celebrating the 60th birthday of Paul Roberts (2009) (0)
Mathematisches Forschungsinstitut Oberwolfach Report No . 8 / 2006 Mini-Workshop : Thick Subcategories-Classifications and Applications (2006) (0)
A Noetherian local ring is the algebraic version of a ring of germs of functions defined in neighborhoods of some point of an alge- (2007) (0)
Algebra & Number Theory (2010) (0)
Subadditivity of syzygies of Koszul algebras (2014) (0)
Hochschild Cohomology of Algebras : Structure and Applications (2008) (0)
To Hans-Bjørn Foxby (2015) (0)
Commutative algebra : interactions with algebraic geometry : international conference, Grenoble, France, July 9-13, 2001 : Special Session at the Joint International Meeting of the American Mathematical Society and the Société mathématique de France, Lyon, France, July 17-20, 2001 (2003) (0)

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What Schools Are Affiliated With Luchezar L. Avramov?

Luchezar L. Avramov is affiliated with the following schools:

University of Nebraska–Lincoln

Luchezar L. Avramov's Academic­Influence.com Rankings

Why Is Luchezar L. Avramov Influential?

Luchezar L. Avramov's Published Works

Published Works

What Schools Are Affiliated With Luchezar L. Avramov?

Luchezar L. Avramov's AcademicInfluence.com Rankings