John Coates

Geometry and Topology · with Sujatha · 2000–2011

A researcher in the Science corpus: 10 papers; trusts 5 researchers and is trusted by 7 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 32 citations into it; #3,318 of 7,422 by trust here, #1,487 by citations
• Mathematical Physics — 26 citations into it; #3,945 of 8,562 by trust here, #1,838 by citations
• Algebra and Number Theory — 6 citations into it

Whom John Coates trusts overall

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

1. S. Howson
2. O. Venjakob
3. Vladimir Dokchitser
4. Kazuya Kato
5. R. Sujatha
6. Y. Hachimori
7. Tim Dokchitser
8. Tom A. Fisher
9. Masatoshi Kurihara
10. Jean-Pierre Serre

Who trusts John Coates overall

1. O. Venjakob
2. R. Sujatha
3. P. Schneider
4. K. Ardakov
5. David Burns
6. Tim Dokchitser
7. Kazuya Kato
8. S. Howson
9. Vladimir Dokchitser
10. R. Greenberg

Papers from John Coates's perspective

Ordered by how strongly the researchers John Coates 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. Euler characteristics and elliptic curves II
3. On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises (Journal of The American Mathematical Society)
4. Euler Characteristics as Invariants of Iwasawa Modules
5. Tamagawa numbers for motives with (noncommutative) coefficients, II
6. Linear representations of finite groups
7. Root Numbers of Non‐Abelian Twists of Elliptic Curves
8. On the Birch-Swinnerton-Dyer quotients modulo squares
9. On the parity ranks of Selmer groups
10. A noncommutative Weierstrass preparation theorem and applications to Iwasawa theory

Their papers

• Non-abelian Fundamental Groups and Iwasawa Theory (2011) — 60 citations
• Root numbers, Selmer groups, and non-commutative Iwasawa theory (2010) — 56 citations
• Cyclotomic Fields and Zeta Values (2006) — 72 citations
• Computations in non‐commutative Iwasawa theory (2005) — 55 citations
• Fine Selmer groups of elliptic curves over p-adic Lie extensions (2005) — 121 citations
• The GL2 Main Conjecture for Elliptic Curves without Complex Multiplication (2004) — 217 citations
• Links Between Cyclotomic and GL2 Iwasawa Theory (2003) — 47 citations
• MODULES OVER IWASAWA ALGEBRAS (2001) — 83 citations
• Euler characteristics and elliptic curves II (2001) — 79 citations
• Galois Cohomology of Elliptic Curves (2000) — 93 citations