S. Takagi

Geometry and Topology · with Watanabe · 2001–2012

A researcher in the Science corpus: 9 papers; trusts 18 researchers and is trusted by 22 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 76 citations into it; #807 of 7,422 by trust here, #670 by citations
• Algebra and Number Theory — 58 citations into it; #134 of 2,864 by trust here, #111 by citations
• Computational Theory and Mathematics — 24 citations into it; #1,270 of 12,182 by trust here, #2,104 by citations
• Mathematical Physics — 18 citations into it; #4,702 of 8,562 by trust here, #3,828 by citations
• Statistical and Nonlinear Physics — 5 citations into it; #4,813 of 10,127 by trust here, #6,421 by citations
• Theoretical Computer Science — 5 citations into it

Whom S. Takagi trusts overall

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

1. N. Hara
2. KEN-ICHI Yoshida
3. Karen E. Smith
4. R. Lazarsfeld
5. L. Ein
6. M. Mustaţă
7. Kei-ichi Watanabe
8. S'andor J. Kov'acs
9. Noboru Nakayama
10. Masaki Kashiwara

Who trusts S. Takagi overall

1. Karl Schwede
2. Manuel Blickle
3. M. Mustaţă
4. Craig Huneke
5. Kevin Tucker
6. Karen E. Smith
7. Chi Li
8. Mircea Mustactva
9. Kei-ichi Watanabe
10. Irena Swanson

Papers from S. Takagi's perspective

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

1. Multiplier ideals of monomial ideals
2. A generalization of tight closure and multiplier ideals
3. An interpretation of multiplier ideals via tight closure
4. ON F-PURE THRESHOLDS
5. Zariski-decomposition and abundance
6. F-thresholds and Bernstein–Sato Polynomials
7. Explicit Birational Geometry of 3-Folds: Singularities of linear systems and 3-fold birational geometry
8. F-thresholds of hypersurfaces
9. F-singularities of pairs and Inversion of Adjunction of arbitrary codimension
10. A characterization of rational singularities

Their papers

• An interpretation of multiplier ideals via tight closure (2001) — 116 citations
• Formulas for multiplier ideals on singular varieties (2004) — 65 citations
• Discreteness and rationality of F-jumping numbers on singular varieties (2009) — 78 citations
• CHARACTERIZATION OF VARIETIES OF FANO TYPE VIA SINGULARITIES OF COX RINGS (2012) — 93 citations
• F-Thresholds, tight closure, integral closure, and multiplicity bounds (2007) — 46 citations
• F-thresholds and Bernstein–Sato Polynomials (2004) — 129 citations
• ON F-PURE THRESHOLDS (2003) — 139 citations
• F-singularities of pairs and Inversion of Adjunction of arbitrary codimension (2003) — 57 citations
• On a generalization of test ideals (2002) — 97 citations