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- Wolmer V. Vasconcelos

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
32
Citations
4,910
112
World Ranking
2389
National Ranking
1011

- Algebra
- Pure mathematics
- Discrete mathematics

His scientific interests lie mostly in Discrete mathematics, Pure mathematics, Algebra, Rees algebra and Polynomial ring. His biological study spans a wide range of topics, including Primitive ring, Graded ring, Superalgebra and Differential graded algebra. His work on Weak dimension as part of general Pure mathematics research is often related to Pole shift hypothesis, thus linking different fields of science.

His Algebra research incorporates elements of Algebra representation and Deformation theory. Wolmer V. Vasconcelos focuses mostly in the field of Rees algebra, narrowing it down to topics relating to Homology and, in certain cases, Cohomology, Blowing up, Arithmetic function and Symmetric algebra. His research in Polynomial ring intersects with topics in Monomial, Square-free integer, Commutative algebra, Symbolic computation and Noncommutative ring.

- Computational methods in commutative algebra and algebraic geometry (286 citations)
- On the Ideal Theory of Graphs (276 citations)
- Arithmetic of Blowup Algebras (219 citations)

The scientist’s investigation covers issues in Pure mathematics, Algebra, Discrete mathematics, Local ring and Rees algebra. When carried out as part of a general Pure mathematics research project, his work on Codimension is frequently linked to work in Hilbert series and Hilbert polynomial, therefore connecting diverse disciplines of study. His Algebra research is multidisciplinary, incorporating elements of Quadratic algebra and Algebra representation.

His research integrates issues of Ring, Semiprime ring, Polynomial ring, Prime and Homology in his study of Discrete mathematics. His study in Local ring is interdisciplinary in nature, drawing from both Primary ideal, Closure, Projective module and Global dimension. His Rees algebra research is multidisciplinary, relying on both Differential graded algebra, Associated graded ring and Cohen–Macaulay ring.

- Pure mathematics (58.09%)
- Algebra (30.88%)
- Discrete mathematics (25.74%)

- Pure mathematics (58.09%)
- Local ring (25.00%)
- Rees algebra (18.38%)

His main research concerns Pure mathematics, Local ring, Rees algebra, Algebra and Multiplicity. Wolmer V. Vasconcelos combines subjects such as Discrete mathematics, Class and Cohen–Macaulay ring with his study of Pure mathematics. His Local ring research is multidisciplinary, incorporating perspectives in Noetherian, Closure, Mathematical analysis and Maximal ideal.

His work in Rees algebra covers topics such as Associated graded ring which are related to areas like Castelnuovo–Mumford regularity. His work often combines Algebra and Normalization studies. While the research belongs to areas of Multiplicity, he spends his time largely on the problem of Primary ideal, intersecting his research to questions surrounding Von Neumann regular ring and Commutative algebra.

- The equations of almost complete intersections (31 citations)
- Cohen–Macaulayness versus the vanishing of the first Hilbert coefficient of parameter ideals (27 citations)
- The homology of parameter ideals (17 citations)

- Algebra
- Pure mathematics
- Geometry

Wolmer V. Vasconcelos spends much of his time researching Pure mathematics, Rees algebra, Local ring, Hilbert series and Hilbert polynomial and Algebra. His Pure mathematics study incorporates themes from Degree, Class, Euler's formula, Carry and Cohen–Macaulay ring. He studied Cohen–Macaulay ring and Discrete mathematics that intersect with Koszul complex.

The various areas that Wolmer V. Vasconcelos examines in his Rees algebra study include Multiplicity, Gorenstein ring and Associated graded ring. As part of the same scientific family, Wolmer V. Vasconcelos usually focuses on Local ring, concentrating on Noetherian and intersecting with Ideal. Ring theory, Projective module, Global dimension, Local cohomology and Ring are among the areas of Algebra where Wolmer V. Vasconcelos concentrates his study.

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.

Computational methods in commutative algebra and algebraic geometry

Wolmer V. Vasconcelos;Daniel R. Grayson;Michael Stillman;David Eisenbud.

**(1997)**

502 Citations

Arithmetic of Blowup Algebras

Wolmer V. Vasconcelos.

**(1994)**

377 Citations

On the Ideal Theory of Graphs

A. Simis;Wolmer V. Vasconcelos;Rafael H. Villarreal.

Journal of Algebra **(1994)**

320 Citations

Direct methods for primary decomposition

David Eisenbud;Craig Huneke;Wolmer Vasconcelos.

Inventiones Mathematicae **(1992)**

288 Citations

Divisor theory in module categories

Wolmer V. Vasconcelos.

**(1974)**

273 Citations

Integral Closure: Rees Algebras, Multiplicities, Algorithms

Wolmer Vasconcelos.

**(2005)**

215 Citations

Approximation complexes of blowing-up rings, II

J Herzog;A Simis;W.V Vasconcelos.

Journal of Algebra **(1982)**

176 Citations

On finitely generated flat modules

Wolmer V. Vasconcelos.

Transactions of the American Mathematical Society **(1969)**

166 Citations

The rings of dimension two

Wolmer V. Vasconcelos.

**(1976)**

120 Citations

Ideals generated by R-sequences

Wolmer V Vasconcelos.

Journal of Algebra **(1967)**

116 Citations

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