J. Coates

Generating author description...

All published works

Action	Title	Year	Authors
+	The Conjecture of Birch and Swinnerton-Dyer	2016	J. Coates Andrew Wiles
+ PDF Chat	Non-commutative Iwasawa theory for modular forms	2013	J. Coates Tim Dokchitser Zhibin Liang William Stein R. Sujatha
+	Noncommutative Iwasawa main conjectures over totally real fields : Münster, April 2011	2013	J. Coates Peter Schneider R. Sujatha Otmar Venjakob
+	On the <i>M<sub>H</sub>(G)</i>-conjecture	2011	J. Coates R. Sujatha
+ PDF Chat	The Tate-Shafarevich Group for Elliptic Curves with Complex Multiplication II	2010	J. Coates Zhibin Liang R. Sujatha
+	The Tate-Shafarevich group for elliptic curves with complex multiplication II	2010	J. Coates Zhibin Liang R. Sujatha
+	Guwahati Workshop on Iwasawa Theory of Totally Real Fields	2010	J. Coates C.S. Dalawat Anupam Saikia R. Sujatha
+	The Tate–Shafarevich group for elliptic curves with complex multiplication	2009	J. Coates Zhibin Liang R. Sujatha
+	Tate Safarevich groups of elliptic curves with complex multiplication	2009	J. Coates Zhibin Liang R. Sujatha
+ PDF Chat	Computations in non-commutative Iwasawa theory	2006	Tim Dokchitser Vladimir Dokchitser J. Coates R. Sujatha
+	Cyclotomic Fields and Zeta Values	2006	J. Coates R. Sujatha
+	Fine Selmer groups of elliptic curves over p-adic Lie extensions	2005	J. Coates R. Sujatha
+	Fine Selmer groups for elliptic curves with complex multiplication	2005	J. Coates R. Sujatha
+ PDF Chat	MODULES OVER IWASAWA ALGEBRAS	2003	J. Coates Peter Schneider R. Sujatha
+	On lifting from classical groups to GL[n] . Diophantine geometry over groups I : Makanin-Razborov diagrams . On the Euler-Poincaré characteristics of finite dimensional p-adic Galois representations . Deux caractérisations de la mesure d'équilibre d'un endomorphisme de P[k](C) . Algebraic leaves of algebraic foliations over number fields	2001	James Cogdell Zlil Sela J. Coates R. Sujatha Jean-Pierre Wintenberger Jean-Yves Briend Julien Duval Jean-Benoît Bost
+	Galois Cohomology of Elliptic Curves	2000	J. Coates R. Sujatha
+	Elliptic curves, modular forms & Fermat's last theorem : proceedings of a conference held in the Institute of Mathematics of the Chinese University of Hong Kong	1997	J. Coates Shing Tung Yau
+	Elliptic curves, modular forms, & Fermat's last theorem	1996	J. Coates Shing Tung Yau
+	Kummer theory for abelian varieties over local fields	1996	J. Coates Ralph Greenberg
+	Algebraic Number Theory — in honor of K. Iwasawa	1989	J. Coates 健吉岩沢
+ PDF Chat	On <i>p</i>-adic <i>L</i>-functions and elliptic units	1978	J. Coates Andrew Wiles
+	On the conjecture of Birch and Swinnerton-Dyer	1977	J. Coates Andrew Wiles
+	Integrality Properties of the Values of Partial Zeta Functions	1977	J. Coates W. Sinnott
+	Fractional parts of powers of rationals	1975	A. Baker J. Coates
+	Onp-adicL-functions over real quadratic fields	1974	J. Coates W. Sinnott
+	An analogue of Stickelberger's theorem for the higherK-groups	1974	J. Coates W. Sinnott
+	On l-Adic Zeta Functions	1973	J. Coates Stephen Lichtenbaum
+	Research problems: Arithmetic cuestions in K-theory	1973	J. Coates
+	Linear forms in the periods of the exponential and elliptic functions	1971	J. Coates
+	An application of the Thue–Siegel–Roth theorem to elliptic functions	1971	J. Coates
+	Construction of rational functions on a curve	1970	J. Coates
+	An application of the division theory of elliptic functions to diophantine approximation	1970	J. Coates
+	Integer points on curves of genus 1	1970	A. Baker J. Coates
+ PDF Chat	An effective p-adic analogue of a theorem of Thue II. The greatest prime factor of a binary form	1970	J. Coates
+ PDF Chat	An effective p-adic analogue of a theorem of Thue III. The diophantine equation $y^2 = x^2 + k$	1970	J. Coates
+ PDF Chat	An effective p-adic analogue of a theorem of Thue	1969	J. Coates

Common Coauthors

Coauthor	Papers Together
R. Sujatha	15
Zhibin Liang	5
Andrew Wiles	3
W. Sinnott	3
Tim Dokchitser	2
Peter Schneider	2
Shing Tung Yau	2
A. Baker	2
James Cogdell	1
Vladimir Dokchitser	1
Julien Duval	1
William Stein	1
Anupam Saikia	1
健吉岩沢	1
Otmar Venjakob	1
Jean-Pierre Wintenberger	1
Zlil Sela	1
C.S. Dalawat	1
Ralph Greenberg	1
Jean-Benoît Bost	1
Stephen Lichtenbaum	1
Jean-Yves Briend	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Rational points of abelian varieties with values in towers of number fields	1972	Barry Mazur	5
+	The ?main conjectures? of iwasawa theory for imaginary quadratic fields	1991	Karl Rubin	5
+	The Conjecture of Birch and Swinnerton-Dyer	2016	J. Coates Andrew Wiles	4
+	Good Reduction of Abelian Varieties	1968	Jean-Pierre Serre John Tate	4
+ PDF Chat	On the Birch-Swinnerton-Dyer quotients modulo squares	2010	Tim Dokchitser Vladimir Dokchitser	4
+ PDF Chat	On <i>p</i>-adic <i>L</i>-functions and elliptic units	1978	J. Coates Andrew Wiles	4
+	Notes p-adiques sur les courbes elliptiques.	1984	D. Bernardi C. Goldstein N. Stephens	3
+	An analogue of Kida's formula for the Selmer groups of elliptic curves	1999	Yoshitaka Hachimori Kazuo Matsuno	3
+ PDF Chat	On some modules in the theory of cyclotomic fields	1964	Kenkichi Iwasawa	3
+ PDF Chat	Arithmetic on Elliptic Curves with Complex Multiplication	1980	Benedict H. Gross	3
+ PDF Chat	On the structure theory of the Iwasawa algebra of a p-adic Lie group	2002	Otmar Venjakob	3
+ PDF Chat	The GL2 Main Conjecture for Elliptic Curves without Complex Multiplication	2005	John Coates Takako Fukaya Kazuya Katô R. Sujatha Otmar Venjakob	3
+	Linear forms in the logarithms of algebraic numbers	1966	A. Baker	3
+	On p-Adic L-Functions	1969	Kenkichi Iwasawa	3
+	Elliptic Functions according to Eisenstein and Kronecker	1976	André Weil	3
+	p-adic height pairings. II	1985	Peter Schneider	3
+ PDF Chat	Euler characteristics and elliptic curves II	2001	John Coates Susan Howson	3
+	Séries d'Eisenstein et fonctions L de courbes elliptiques à multiplication complexe.	1981	R. A. Mollin Norbert Schappacher Catherine Goldstein	3
+	EULER CHARACTERISTICS AS INVARIANTS OF IWASAWA MODULES	2002	Susan Howson	3
+	Galois Cohomology of Elliptic Curves	2000	J. Coates R. Sujatha	3
+	Completely faithful Selmer groups over Kummer extensions	2003	Yoshitaka Hachimori Otmar Venjakob	3
+	One-Parameter Formal Lie Groups Over -Adic Integer Rings	1964	Jonathan Lubin	3
+	Elliptic Curves with Complex Multiplication and Iswasawa Theory	1991	John Coates	3
+	On the conjecture of Birch and Swinnerton-Dyer	1977	J. Coates Andrew Wiles	3
+	Iwasawa Theory for $p$-adic Representations	2018	Ralph Greenberg	3
+	On the structure of Selmer groups over 𝑝-adic Lie extensions	2002	Yoshihiro Ochi Otmar Venjakob	3
+	On the conjectures of Birch and Swinnerton-Dyer and a geometric analog	1966	John Tate	2
+	Über einige Anwendungen diophantischer Approximationen	2014	Carl Ludwig Siegel	2
+ PDF Chat	L-functions of elliptic curves with complex multiplication, I	1970	R. Damerell	2
+	Introduction to the Arithmetic Theory of Automorphic Functions	1972	Marvin Tretkoff Goro Shimura	2
+	On Z l -Extensions of Algebraic Number Fields	1973	Kenkichi Iwasawa	2
+	Die elliptischen Funktionen und ihre Anwendungen	2011	R. Fricke	2
+	Integer points on curves of genus 1	1970	A. Baker J. Coates	2
+ PDF Chat	Computing Special Values of Motivic<i>L</i>-Functions	2004	Tim Dokchitser	2
+	Notes on elliptic curves. II.	1965	B. J. Birch H. P. F. Swinnerton-Dyer	2
+ PDF Chat	Links between cyclotomic and ${GL}_2$ Iwasawa theory	2003	John Coates Peter Schneider R. Sujatha	2
+ PDF Chat	Descent Calculations for the Elliptic Curves of Conductor 11	2003	Tom Fisher	2
+ PDF Chat	On Two Variable p-adic L-functions	1982	Rodney I. Yager	2
+	Bericht über neuere Untersuchungen und Probleme aus der Theorie der algebraischen Zahlkörper	1965	Helmut Hasse	2
+	On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises	2001	Christophe Breuil Brian Conrad Fred Diamond Richard Taylor	2
+	Formal Complex Multiplication in Local Fields	1965	Jonathan Lubin John Tate	2
+	A note on the division values of ℘(<i>u</i>)	1949	J. W. S. Cassels	2
+	Divisibilities, congruences, and Cartier duality	1982	M. Katz Nicholas	2
+	On $p$-adic analytic families of Galois representations	1986	Barry Mazur Andrew Wiles	2
+	Iwasawa Modules up to Isomorphism	2018	Uwe Jannsen	2
+	Abelian l-Adic Representations and Elliptic Curves	1997	Jean-Pierre Serre	2
+ PDF Chat	Some examples of 5 and 7 descent for elliptic curves over Q	2001	Tom Fisher	2
+	K1 of Some Non-Commutative Completed Group Rings	2005	Kazuya Katô	2
+	The Tate–Shafarevich group for elliptic curves with complex multiplication	2009	J. Coates Zhibin Liang R. Sujatha	2
+ PDF Chat	The Arithmetic of Elliptic Curves	1986	Joseph H. Silverman	2