T. Shioya

2000–2016

A researcher in the Science corpus: 7 papers; trusts 3 researchers and is trusted by 16 researchers here, as inferred from the citation graph.

Whom T. Shioya trusts overall

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

1. G. Perelman
2. Misha Gromov
3. Jeff Cheeger
4. T. Colding

Who trusts T. Shioya overall

1. J. Morgan
2. Shouhei Honda
3. Hui-Chun Zhang
4. Bruce Kleiner
5. J. Lott
6. V. Kapovitch
7. Luigi Ambrosio
8. Xiping Zhu
9. Huaihuo Cao
10. Karl‐Theodor Sturm

Papers from T. Shioya's perspective

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

1. Metric Structures for Riemannian and Non-Riemannian Spaces
2. Method of Modern Mathematical Physics
3. Perturbation theory for linear operators
4. Ricci flow with surgery on three-manifolds
5. The size of the singular set in mean curvature flow of mean-convex sets
6. Geometric Measure Theory
7. Piecewise automatic groups
8. Expander Graphs and their Applications
9. On Isoperimetric Profiles of Finitely Generated Groups
10. Scalar curvature rigidity of certain symmetric spaces

Their papers

• Metric Measure Geometry: Gromov's Theory of Convergence and Concentration of Metrics and Measures (2016) — 69 citations
• Convergence of spectral structures: a functional analytic theory and its applications to spectral geometry (2003) — 180 citations
• Sobolev and Dirichlet spaces over maps between metric spaces (2003) — 49 citations
• The Geometry of Total Curvature on Complete Open Surfaces (2003) — 92 citations
• Volume collapsed three-manifolds with a lower curvature bound (2003) — 79 citations
• Sobolev spaces, Laplacian, and heat kernel on Alexandrov spaces (2001) — 123 citations
• Collapsing Three-Manifolds Under a Lower Curvature Bound (2000) — 83 citations