What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Pure mathematics (59.21%)
- Discrete mathematics (38.16%)
- Local ring (35.53%)
What were the highlights of his more recent work (between 2009-2019)?
- Pure mathematics (59.21%)
- Local ring (35.53%)
- Discrete mathematics (38.16%)
In recent papers he was focusing on the following fields of study:
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.
Between 2009 and 2019, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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