What is he best known for?
The fields of study he is best known for:
- Algebra
- Pure mathematics
- Vector space
His scientific interests lie mostly in Pure mathematics, Tilting theory, Algebra over a field, Discrete mathematics and Bijection.
His Pure mathematics research includes themes of Type, Jacobian matrix and determinant and Mutation.
His Tilting theory study integrates concerns from other disciplines, such as Triangulated category, Gravitational singularity, Representation theory and Noncommutative geometry.
His studies deal with areas such as Quotient category and Commutative algebra as well as Triangulated category.
His Representation theory study integrates concerns from other disciplines, such as Associative property and Mathematical analysis.
Osamu Iyama has researched Algebra over a field in several fields, including Stable module category, Object and Dimension.
His most cited work include:
- Mutation in triangulated categories and rigid Cohen–Macaulay modules (456 citations)
- Higher-dimensional Auslander–Reiten theory on maximal orthogonal subcategories (332 citations)
- Cluster structures for 2-Calabi-Yau categories and unipotent groups (256 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of investigation include Pure mathematics, Discrete mathematics, Representation theory, Gravitational singularity and Combinatorics.
His studies link Bijection with Pure mathematics.
He works mostly in the field of Discrete mathematics, limiting it down to concerns involving Type and, occasionally, Artin algebra.
His Representation theory study incorporates themes from Mutation, Algebraic geometry, Simple, Coherent sheaf and Subring.
His research in Gravitational singularity tackles topics such as Singularity which are related to areas like Abelian group.
As a part of the same scientific study, Osamu Iyama usually deals with the Combinatorics, concentrating on Quotient algebra and frequently concerns with Partially ordered set.
He most often published in these fields:
- Pure mathematics (76.06%)
- Discrete mathematics (25.35%)
- Representation theory (15.49%)
What were the highlights of his more recent work (between 2017-2020)?
- Pure mathematics (76.06%)
- Bijection (14.08%)
- Singularity (7.75%)
In recent papers he was focusing on the following fields of study:
Osamu Iyama spends much of his time researching Pure mathematics, Bijection, Singularity, Tilting theory and Extension.
His biological study spans a wide range of topics, including Resolution and Gravitational singularity.
The Bijection study combines topics in areas such as Global dimension, Isomorphism and Quotient algebra.
His Singularity research includes themes of Abelian group and Gorenstein ring.
The study incorporates disciplines such as Weyl group, Lattice, Congruence relation and Bijection, injection and surjection in addition to Tilting theory.
His work deals with themes such as Explicit formulae, Projective module, Algebra over a field, Endomorphism ring and Series, which intersect with Extension.
Between 2017 and 2020, his most popular works were:
- Auslander--Reiten theory in extriangulated categories (30 citations)
- Auslander-Gorenstein algebras and precluster tilting (27 citations)
- $oldsymbol{ au}$-Tilting Finite Algebras, Bricks, and $oldsymbol{g}$-Vectors (22 citations)
In his most recent research, the most cited papers focused on:
- Algebra
- Pure mathematics
- Vector space
His main research concerns Pure mathematics, Abelian group, Indecomposable module, Unification and Duality.
His Pure mathematics research is multidisciplinary, incorporating elements of Disjoint sets and Bijection.
Osamu Iyama interconnects Commutative property, Singularity, Gravitational singularity and Quotient in the investigation of issues within Abelian group.
His research integrates issues of Connection, Lattice, Tilting theory, Quiver and Bijection, injection and surjection in his study of Indecomposable module.
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.
