01preface_2. 240KB Jun 04 2011 12:07:09 AM

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Documenta Math.

1 Preface

This volume is dedicated to Professor John Coates, an outstanding

collab-orator, colleague, author, teacher, and friend. He has greatly contributed to

number theory, both through his fundamental mathematical works and through

his impressive mathematical school. He is a continuous source of tremendous

inspiration to students and colleagues. John Coates has been one of the leading

proponents of and contributors to Iwasawa theory and he is the founding father

of its recent development in the form of non-commutative Iwasawa theory.

We included in the volume the Japanese tanka ”Samegai’s Waters” which was

selected by John upon our request.

Prior to the Cambridge conference

http://www.maths.nott.ac.uk/personal/ibf/jhc.html

to mark the 60th birthday of John Coates, Sarah Zerbes and Vladimir

Dok-chitser had produced a diagramme of his mathematical family tree which is

included in the volume (next page).

I. Fesenko, S. Lichtenbaum, B. Perrin-Riou, P. Schneider

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2

Amod Agashe 2000

Gil Alon 2003

Bertrand Arnaud 1984

Maurice Arrigoni 1993

Nicole Arthaud-Kuhman 1978

Jilali Assim 1994

Raphael Badino 2003

Paul Balister 1992

Matthew Baker 1999

Grzegorz Banaszak 1990

Catalin Barbacioru 2002

Laure Barthel 1989

Clemens Beckmann 1992

Tania Beliaeva 2004 Laurent Berger

2001

Dominique Bernardi 1979

Massimo Bertolini

1992 Manjul Bhargava 2001 Patrick Billot

1984

Xavier Boichut 1998

Eric Bone 2003 Karsten Buecker

1996

Oliver Bueltel 1997 Kevin Buzzard

1995

Pierrette Cassou-Nogues 1978

Byungchul Cha 2003

Jung Hee Cheon 1997 Robert Coleman

1979 Pierre Colmez

1988

Jason Colwell 2004

Brian Conrad 1996

Christophe Cornut 2000

Daniel Delbourgo 1997

Ehud De Shalit 1984

Fred Diamond 1988

Mark Dickinson 2000

Mladen Dimitrov 2003 Roland Dreier

1998

Eric Edo 2002 Hoda El Sherbiny

2001

Mike Evans 1995

Christian Feaux de Lacroix 1997

Luiz Figueiredo 1996 Tom Fisher

2000

Matthias Flach 1991 Henning Frommer

2002

Toby Gee 2004

Edray Goins 1999 Assaf Goldberger

2000 Catherine Goldstein

1981 Emiliano Gomez

2000

Cristian Gonzales-Aviles 1994

Eyal Goren 1996 Elmar Grosse Kloenne

1999

Denis Hemard 1986

Sang-Geun Hahn 1987

Michael Harrison 1992 Adriaan Herremans

2001

Julian Horn 1976

Benjamin Howard 2002 Susan Howson

1998

Theodore Hwa 2002 Daniel Jacobs

2002

Frazer Jarvis 1994 Prasanna Kartik

2003

Bruce Kaskel 1996

Payman Kassaei 1999 Lloyd Kilford

2002

Jun Kyo Kim 1995

Dong Geon Kim 1997

Yong-Soo Kim 1999

Hwan Joon Kim 2000

Hae Young Kim 2002 Heiko Knospe

1997

Alain Kraus 1989 Mohamed Krir

1992

John Lame 1996 Erasmus Landvogt

1997

Andreas Langer 1991

Arthur Lannuzel 1999

Jonganin Lee 2003

Dong Hoon Lee 2000

Eonkyung Lee 2001

Matthieu Le Floc’h 2002 Mikael Lescop

2003 Chong Lim

1990

Qiang Lin 2004

Matteo Longo 2004

Fabio Mainardi 2004

Jayanta Manoharmayum 1999 Russ Mann

2001 Elena Mantovan

2002 Francois Martin

2001

David Mauger 2000 Gary McConnell

1993 Kenneth McMurdy

2001

Paul Meekin 2003

Loic Merel 1993

Ariane Mezard 1998 Abbas Movahhedi

1988

Luis Navas 1993 Ed Nevens

2004

Thong Nguyen Quang Do 1982

Behrang Noohi 2000 Yoshihiro Ochi

1999

Joseph Oesterle 1984

Jangheon Oh 1995 Ioannis Papadopoulos

1992

Mihran Papikian 2002

Je Hong Park 2004

James Parson 2003 Marko Patzlod

2004

Bernadette Perrin-Riou 1983 Layla Pharamond

2002

Andrew Plater 1991

Cristian Popescu 1996

Despina Prapavessi 1988

Ali Rajaei 1998

Arash Rastegar 1998 Marusia Rebolledo

2004

Carine Reydy 2002 Ravi Rhamakrishna

1992

Klaus Rolshausen 1996

Steven Rosenberg 1996

Karl Rubin 1981 Anupam Saikia

2002

David Savitt 2001

Norbert Schappacher 1978 Peter Schneider

1980

Leila Schneps 1985

Soogil Seo 1999

Warren Sinnott 1974

Christopher Skinner 1997

Silke Slembek 2002

Paul Smith 1981

Lawren Smithline 2000

Adriana Sofer 1993 Harvey Stein

1991

Andrew Sydenham 1997

Richard Taylor 1988

Lea Terracini 1998

Jacques Tilouine 1989 Pavlos Tzermias

1995

Eric Urban 1994

Vinayak Vatsal 1997

Fernando Rodriguez Villegas 1990 Markus Weiand

1990

Andrew Wiles 1979 Ivorra Wilfrid

2004

Samuel Williams 2001 Christian Wuthrich

2004

Mingzhi Xu 1995 Rodney Yager

1981

Yong Kuk You 2002

Hoseog Yu 1999

Mohamed Zahidi 1999

Leonardo Zapponi 1998

Florent Urfels 1998

Luc Villemot 1981 Martijn van Beurden

2003

Ph.D. student

quasi student

JH60 Ltd. takes no responsibility for any misprints or omissions

Oh, what a tangled web we weave...

We would like to thank

Andrew Aitchison for technical support,

Julie Coates for providing the pictures,

and also Jilali Assim, Matthew Baker, Grzegorz Banaszak, Laure Barthel, Massimo Bertolini, Karsten Buecker, Oliver Bueltel, Kevin Buzzard, Pierrette Cassou-Nogues, Jung-Hee Cheon,

Robert Coleman, Pierre Colmez, Brian Conrad, Christophe Cornut, Daniel Delbourgo, Ehud de Shalit, Fred Diamond, Mike Evans, Ivan Fesenko, Matthias Flach, Edray Goins, Catherine

Goldstein, Eyal Goren, Sang-Geun Hahn, Michael Harrison, Susan Howson, Frazer Jarvis, Bruce Kaskel, Payman Kassaei, Alain Kraus, Andreas Langer, Gary McConnell, Loic Merel,

Ariane Mezard, Abbas Movahhedi, Thong Nguyen Quang Do, Yoshihiro Ochi, Joseph Oesterle, Bernadette Perrin-Riou, Andrew Plater, Arash Rastegar, Karl Rubin, Anupam Saikia,

Norbert Schappacher, Peter Schneider, Leila Schneps, Tony Scholl, Sir Walter Scott, Warren Sinnott, Christopher Skinner, Paul Smith, Vic Snaith, Harvey Stein, Richard Taylor, Jacques

01preface_2. 240KB Jun 04 2011 12:07:09 AM

Documenta Math.

1

Preface

This volume is dedicated to Professor John Coates, an outstanding

collab-orator, colleague, author, teacher, and friend. He has greatly contributed to

number theory, both through his fundamental mathematical works and through

his impressive mathematical school. He is a continuous source of tremendous

inspiration to students and colleagues. John Coates has been one of the leading

proponents of and contributors to Iwasawa theory and he is the founding father

of its recent development in the form of non-commutative Iwasawa theory.

We included in the volume the Japanese tanka ”Samegai’s Waters” which was

selected by John upon our request.

Prior to the Cambridge conference

http://www.maths.nott.ac.uk/personal/ibf/jhc.html

to mark the 60th birthday of John Coates, Sarah Zerbes and Vladimir

Dok-chitser had produced a diagramme of his mathematical family tree which is

included in the volume (next page).

I. Fesenko, S. Lichtenbaum, B. Perrin-Riou, P. Schneider

2

Ph.D. student

quasi student

Oh, what a tangled web we weave...

We would like to thank

Andrew Aitchison for technical support,

Julie Coates for providing the pictures,

and also Jilali Assim, Matthew Baker, Grzegorz Banaszak, Laure Barthel, Massimo Bertolini, Karsten Buecker, Oliver Bueltel, Kevin Buzzard, Pierrette Cassou-Nogues, Jung-Hee Cheon,

Robert Coleman, Pierre Colmez, Brian Conrad, Christophe Cornut, Daniel Delbourgo, Ehud de Shalit, Fred Diamond, Mike Evans, Ivan Fesenko, Matthias Flach, Edray Goins, Catherine

Goldstein, Eyal Goren, Sang-Geun Hahn, Michael Harrison, Susan Howson, Frazer Jarvis, Bruce Kaskel, Payman Kassaei, Alain Kraus, Andreas Langer, Gary McConnell, Loic Merel,

Ariane Mezard, Abbas Movahhedi, Thong Nguyen Quang Do, Yoshihiro Ochi, Joseph Oesterle, Bernadette Perrin-Riou, Andrew Plater, Arash Rastegar, Karl Rubin, Anupam Saikia,

Norbert Schappacher, Peter Schneider, Leila Schneps, Tony Scholl, Sir Walter Scott, Warren Sinnott, Christopher Skinner, Paul Smith, Vic Snaith, Harvey Stein, Richard Taylor, Jacques

Tilouine, Pavlos Tzermias, Vinayak Vatsal, Andrew Wiles and Rodney Yager.

Tim Dokchitser

Vladimir Dokchitser

Sarah Livia Zerbes

The John Coates mathematical family tree is reproduced here with the kind permission of its authors.