Luchezar L. Avramov
#186,899
Most Influential Person Now
Luchezar L. Avramov's AcademicInfluence.com Rankings
Luchezar L. Avramovmathematics Degrees
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

Download Badge
Mathematics
Why Is Luchezar L. Avramov Influential?
(Suggest an Edit or Addition)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)
This paper list is powered by the following services:
What Schools Are Affiliated With Luchezar L. Avramov?
Luchezar L. Avramov is affiliated with the following schools: