What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- Computational methods in commutative algebra and algebraic geometry (286 citations)
- On the Ideal Theory of Graphs (276 citations)
- Arithmetic of Blowup Algebras (219 citations)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Pure mathematics (58.09%)
- Algebra (30.88%)
- Discrete mathematics (25.74%)
What were the highlights of his more recent work (between 2009-2021)?
- Pure mathematics (58.09%)
- Local ring (25.00%)
- Rees algebra (18.38%)
In recent papers he was focusing on the following fields of study:
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.
Between 2009 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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