Kazuya Kato

Geometry and Topology · 2001–2019

A researcher in the Science corpus: 12 papers; trusts 6 researchers and is trusted by 10 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 26 citations into it; #1,765 of 7,422 by trust here, #1,410 by citations
• Mathematical Physics — 20 citations into it; #2,038 of 8,562 by trust here, #1,610 by citations
• Algebra and Number Theory — 8 citations into it; #841 of 2,864 by trust here, #948 by citations

Whom Kazuya Kato trusts overall

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

1. Martin Olsson
2. Takeshi Saito
3. O. Venjakob
4. A. Ogus
5. David Burns
6. John Coates
7. Vladimir Dokchitser
8. S. Howson

Who trusts Kazuya Kato overall

1. O. Venjakob
2. Vladimir Dokchitser
3. Takeshi Saito
4. John Coates
5. Cornelius Greither
6. David Burns
7. Minhyong Kim
8. Ruochuan Liu
9. Jonathan Pottharst
10. Tim Dokchitser

Papers from Kazuya Kato's perspective

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

1. MODULES OVER IWASAWA ALGEBRAS (Journal of the Institute of Mathematics of Jussieu)
2. Completely Faithful Selmer Groups over Kummer Extensions
3. The GL2 Main Conjecture for Elliptic Curves without Complex Multiplication
4. WEIGHT SPECTRAL SEQUENCES AND INDEPENDENCE OF $\ell$ (Journal of the Institute of Mathematics of Jussieu)
5. Root Numbers of Non‐Abelian Twists of Elliptic Curves
6. On the Birch-Swinnerton-Dyer quotients modulo squares
7. On the parity ranks of Selmer groups
8. Equivariant Tamagawa Numbers and Galois Module Theory I (Compositio Mathematica)
9. Lectures on Logarithmic Algebraic Geometry
10. On the conductor formula of Bloch

Their papers

• Logarithmic Structures of Fontaine-Illusie. II ---Logarithmic Flat Topology (2019) — 50 citations
• Number Theory 2: Introduction to Class Field Theory (2011) — 101 citations
• Root numbers, Selmer groups, and non-commutative Iwasawa theory (2010) — 56 citations
• Classifying Spaces of Degenerating Polarized Hodge Structures. (2008) — 76 citations
• L-Functions and Tamagawa Numbers of Motives (2007) — 220 citations
• Quasi-unipotent logarithmic Riemann-Hilbert correspondences (2005) — 62 citations
• On the conductor formula of Bloch (2004) — 93 citations
• Completely Faithful Selmer Groups over Kummer Extensions (2003) — 82 citations
• Equivariant Weierstrass Preparation and Values of L-functions at Negative Integers (2003) — 55 citations
• On the conjectures of Birch and Swinnerton-Dyer in characteristic p>0 (2003) — 106 citations
• On Zℓ-extensions of algebraic number fields: Ann. of Math., (2) 98 (1973), 246–326 (2001) — 54 citations
• On Г-extensions of algebraic number fields: Bull. Amer. Math. Soc., 65 (1959), 183–226 (2001) — 110 citations