- Home
- Best Scientists - Mathematics
- Luchezar L. Avramov

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
33
Citations
5,127
86
World Ranking
2202
National Ranking
940

2013 - Fellow of the American Mathematical Society

- Pure mathematics
- Algebra
- Algebraic geometry

Pure mathematics, Discrete mathematics, Homomorphism, Local ring and Algebra are his primary areas of study. His research brings together the fields of Complete intersection ring and Pure mathematics. His studies deal with areas such as Structure, Abelian group and Homology as well as Homomorphism.

His research in Local ring intersects with topics in Commutative property, Equivalence, Noetherian, Exact sequence and Betti number. His research links Dimension with Algebra. His Complete intersection research integrates issues from Global dimension, Flat module, Projective module, Commutative ring and Krull dimension.

- ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION (347 citations)
- Homological dimensions of unbounded complexes (263 citations)
- Infinite Free Resolutions (226 citations)

The scientist’s investigation covers issues in Pure mathematics, Discrete mathematics, Local ring, Commutative property and Algebra. The concepts of his Pure mathematics study are interwoven with issues in Noetherian and Commutative ring. Luchezar L. Avramov combines subjects such as Ring, Maximal ideal and Polynomial ring with his study of Discrete mathematics.

His studies in Local ring integrate themes in fields like Betti number, Complete intersection, Combinatorics, Homology and Residue field. His Complete intersection research includes elements of Mathematical analysis and Complete intersection ring. His research investigates the connection between Commutative property and topics such as Graded ring that intersect with issues in Hilbert's syzygy theorem.

- Pure mathematics (59.21%)
- Discrete mathematics (38.16%)
- Local ring (35.53%)

- Pure mathematics (59.21%)
- Local ring (35.53%)
- Discrete mathematics (38.16%)

Luchezar L. Avramov mainly investigates Pure mathematics, Local ring, Discrete mathematics, Noetherian and Commutative property. His Pure mathematics study which covers Commutative ring that intersects with Invertible matrix. His biological study spans a wide range of topics, including Maximal ideal, Residue field, Coherent sheaf and Combinatorics.

His Discrete mathematics research focuses on Commutative algebra in particular. Within one scientific family, he focuses on topics pertaining to Cohomology under Noetherian, and may sometimes address concerns connected to Isomorphism and Functor. Luchezar L. Avramov has included themes like Homomorphism, Algebra over a field and Homology in his Commutative property study.

- Homology of perfect complexes (90 citations)
- Reduction of derived Hochschild functors over commutative algebras and schemes (48 citations)
- Subadditivity of syzygies of Koszul algebras (44 citations)

- Pure mathematics
- Algebra
- Algebraic geometry

Luchezar L. Avramov mainly focuses on Pure mathematics, Discrete mathematics, Commutative property, Local ring and Combinatorics. His Pure mathematics research is multidisciplinary, relying on both Polynomial ring and Subadditivity. The Commutative property study combines topics in areas such as Algebra over a field, Homology and Homomorphism.

His research integrates issues of Noetherian, Functor, Cohomology, Isomorphism and Commutative algebra in his study of Homology. His Local ring research incorporates elements of Characterization, Dimension, Residue field and Real number. His work on Koszul complex and Abelian group as part of general Combinatorics research is often related to Intersection theorem, thus linking different fields of science.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Homological dimensions of unbounded complexes

Luchezar L. Avramov;Hans-Bjørn Foxby.

Journal of Pure and Applied Algebra **(1991)**

418 Citations

Infinite Free Resolutions

Luchezar L. Avramov.

**(1998)**

374 Citations

ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION

Luchezar L. Avramov;Alex Martsinkovsky.

Proceedings of The London Mathematical Society **(2002)**

371 Citations

Support varieties and cohomology over complete intersections

Luchezar L. Avramov;Ragnar-Olaf Buchweitz.

Inventiones Mathematicae **(2000)**

339 Citations

Complete intersection dimension

Luchezar L. Avramov;Vesselin N. Gasharov;Irena V. Peeva.

Publications Mathématiques de l'IHÉS **(1997)**

327 Citations

Ring homomorphisms and finite Gorenstein dimension

LL Avramov;H-B Foxby.

Proceedings of The London Mathematical Society **(1997)**

251 Citations

Modules of finite virtual projective dimension

L. L. Avramov.

Inventiones Mathematicae **(1989)**

207 Citations

Structure of Local Homomorphisms

Luchezar L. Avramov;Hans-Bjørn Foxby;Bernd Herzog.

Journal of Algebra **(1994)**

180 Citations

Poincaré series of modules over local rings of small embedding codepth or small linking number

Luchezar L Avramov;Andrew R Kustin;Matthew Miller.

Journal of Algebra **(1988)**

147 Citations

Resolutions of monomial ideals and cohomology over exterior algebras

Annetta Aramova;Luchezar Avramov;Jürgen Herzog.

Transactions of the American Mathematical Society **(1999)**

143 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

University of Michigan–Ann Arbor

University of Duisburg-Essen

University of California, Berkeley

Courant Institute of Mathematical Sciences

Northeastern University

South China University of Technology

Huazhong University of Science and Technology

Wuhan University

University of Cyprus

Texas Tech University

Harvard Medical School

Broad Institute

Tel Aviv University

University of Barcelona

GEOMAR Helmholtz Centre for Ocean Research Kiel

Dartmouth College

Université Catholique de Louvain

Goethe University Frankfurt

University of Birmingham

University of Huddersfield

University of Tokyo

Something went wrong. Please try again later.