Ryo Takahashi

Geometry and Topology · with Dao · 2005–2014

A researcher in the Science corpus: 14 papers; trusts 30 researchers and is trusted by 15 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 83 citations into it; #1,368 of 7,422 by trust here, #1,083 by citations
• Algebra and Number Theory — 76 citations into it; #604 of 2,864 by trust here, #489 by citations
• Mathematical Physics — 36 citations into it; #2,219 of 8,562 by trust here, #1,895 by citations
• Statistical and Nonlinear Physics — 14 citations into it; #7,301 of 10,127 by trust here, #5,894 by citations
• Computational Theory and Mathematics — 8 citations into it

Whom Ryo Takahashi trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Henning Krause
2. L. Avramov
3. Osamu Iyama
4. D. Benson
5. S. Iyengar
6. B. Keller
7. L. Christensen
8. Maria Chlouveraki
9. Paul Balmer
10. R. Buchweitz

Who trusts Ryo Takahashi overall

1. D. White
2. Hailong Dao
3. Greg Stevenson
4. Sean Sather-Wagstaff
5. S. Goto
6. Henning Krause
7. Ryo Kanda
8. Zhaoyong Huang
9. Tirdad Sharif
10. L. Christensen

Papers from Ryo Takahashi's perspective

Ordered by how strongly the researchers Ryo Takahashi trusts endorse each paper. Same corpus, a different order for every researcher.

1. Dimensions of triangulated categories
2. Homology of perfect complexes
3. Stratifying triangulated categories
4. Stratifying modular representations of finite groups
5. Generators and representability of functors in commutative and noncommutative geometry
6. Existence of Gorenstein projective resolutions and Tate cohomology
7. Higher-dimensional Auslander–Reiten theory on maximal orthogonal subcategories
8. On Macaulayfication of Noetherian schemes
9. Classifying subcategories of modules over a commutative noetherian ring
10. Nonvanishing cohomology and classes of Gorenstein rings

Their papers

• Almost Gorenstein rings – towards a theory of higher dimension (2014) — 119 citations
• Annihilation of cohomology and strong generation of module categories (2014) — 51 citations
• Ulrich ideals and modules† (2012) — 52 citations
• Classification of resolving subcategories and grade consistent functions (2012) — 49 citations
• Non-commutative resolutions and Grothendieck groups (2012) — 48 citations
• The radius of a subcategory of modules (2011) — 61 citations
• Tilting and cluster tilting for quotient singularities (2010) — 81 citations
• Classifying thick subcategories of the stable category of Cohen-Macaulay modules (2009) — 124 citations
• On G-Regular Local Rings (2008) — 55 citations
• Classifying subcategories of modules over a commutative noetherian ring (2008) — 55 citations
• Local cohomology based on a nonclosed support defined by a pair of ideals (2007) — 90 citations
• Finite Gorenstein representation type implies simple singularity (2007) — 56 citations
• Homological aspects of semidualizing modules (2007) — 135 citations
• Homological invariants associated to semi-dualizing bimodules (2005) — 77 citations