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- Osamu Iyama

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
40
Citations
6,052
96
World Ranking
1395
National Ranking
20

- 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.

- 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)

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.

- Pure mathematics (76.06%)
- Discrete mathematics (25.35%)
- Representation theory (15.49%)

- Pure mathematics (76.06%)
- Bijection (14.08%)
- Singularity (7.75%)

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.

- 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)

- 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.

Mutation in triangulated categories and rigid Cohen–Macaulay modules

Osamu Iyama;Yuji Yoshino.

Inventiones Mathematicae **(2008)**

743 Citations

Higher-dimensional Auslander–Reiten theory on maximal orthogonal subcategories

Osamu Iyama.

Advances in Mathematics **(2007)**

551 Citations

Silting mutation in triangulated categories

Takuma Aihara;Osamu Iyama.

Journal of The London Mathematical Society-second Series **(2012)**

388 Citations

Cluster structures for 2-Calabi-Yau categories and unipotent groups

A. B. Buan;O. Iyama;I. Reiten;J. Scott.

Compositio Mathematica **(2009)**

299 Citations

Fomin-Zelevinsky mutation and tilting modules over Calabi-Yau algebras

Osamu Iyama;Idun Reiten.

American Journal of Mathematics **(2008)**

276 Citations

Cluster tilting for higher Auslander algebras

Osamu Iyama.

Advances in Mathematics **(2011)**

270 Citations

Finiteness of representation dimension

Osamu Iyama.

Proceedings of the American Mathematical Society **(2002)**

199 Citations

Cluster tilting for one-dimensional hypersurface singularities

Igor Burban;Osamu Iyama;Bernhard Keller;Idun Reiten.

Advances in Mathematics **(2008)**

193 Citations

Mutation of cluster-tilting objects and potentials

Aslak Bakke Buan;Osamu Iyama;Idun Reiten;David Smith.

American Journal of Mathematics **(2011)**

157 Citations

$ au$-tilting finite algebras, bricks and $g$-vectors

Laurent Demonet;Osamu Iyama;Gustavo Jasso.

arXiv: Representation Theory **(2015)**

136 Citations

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