Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.

Editorial Board

Founding Editor:

G.-C. Rota

Editors:

Michael J. Hopkins
Massachusetts Institute of Technology, Massachusetts, USA

Johan de Jong
Massachusetts Institute of Technology, Massachusetts, USA

Tomasz S. Mrowka
Massachusetts Institute of Technology, Massachusetts, USA

Gang Tian
Massachusetts Institute of Technology, Massachusetts, USA

Editorial Board:

Alexandra Bellow
Northwestern University, Illinois, USA

David J. Benson
Department of Mathematical Sciences, University of Aberdeen, Scotland, UK

Sara C. Billey
University of Washington, Washington, USA

Anders Björner
Kung. Tekniska H?gskolan, Stockholms, Sweden

Felix Browder
Rutgers University, New Jersey, USA

Luis Caffarelli
University of Texas at Austin, Texas, USA

Alain Connes
Institut Hautes Etudes Sciences, France

Andreas Dress
Universitüt Bielefield, Bielefield, Germany

Pavel Etingof
Massachusetts Institute of Technology, Massachusetts, USA

Charles Fefferman
Princeton University, New Jersey, USA

Daniel S. Freed
University of Texas at Austin, Texas, USA

Adriano Garsia
University of California at San Diego, California, USA

I.M. Gelfand
Rutgers University, New Jersey, USA

Melvin Hochster
University of Michigan, Michigan, USA

Mark Hovey
Wesleyan University, Connecticut, USA

Vaughan Jones
University of California at Berkeley, California, USA

André Joyal
Université du Québec à Montréal, Montréal, Canada

Ludmil Katzarkov
University of California at Irvine, California, USA

Takahiro Kawai
Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan

H. Jerome Keisler
University of Wisconsin, Wisconsin, USA

Joseph J. Kohn
Princeton University, New Jersey, USA

Bertram Kostant
Massachusetts Institute of Technlogy, Massachusetts, USA

Alain Lascoux
Institut Gaspard Monge, Université de Marne-la-Vallée, France

L. Lovász
Microsoft Research, Connecticut, USA

Erwin Lutwak
Polytechnic University, New York, USA

Robert MacPherson
The Institute for Advanced Study, New Jersey, USA

N.G. Makarov
California Institute of Technology, California, USA

Marie-Paule Malliavin
Université de Paris VI (Pierre et Marie Curie),Paris, France

R.Daniel Mauldin
University of North Texas, Texas, USA

Peter McMullen
University College, London, United Kingdom

Bernard Morin
Université de Strassbourg I"Louis Pasteur," Strassbourg, France

Hiraku Nakajima
Kyoto University at Sakyo, Japan

Tony Pantev
University of Pennsylvania, Pennsylvania, USA

I.M. Singer
Massachusetts Institute of Technology, Massachusetts, USA

Karen E. Smith
University of Michigan, USA

Ross Street
Macquarie University, Sydney, Australia

D.W. Stroock
Massachusetts Institute of Technology, Massachusetts, USA

Bertrand Toen
Laboratoire J.-A. Dieudonné, Université de Nice-Sophia Antipolis, Nice, Toulouse, France

Michel Van den Bergh
Department WNI, Limburgs Universitair Centrum, Diepenbeek, Belgium

Edoardo Vesentini
Politecnico di Torino, Torino, Italy

Vladimir Voevodsky
Institute for Advanced Study, New Jersey, USA

Dan Voiculescu
University of California at Berkeley, California, USA

Andrei Zelevinsky
Northeastern University, Massachusetts, USA