Present Editorial Boards, Editor, American Journal of Mathematics
2007 - present Editors-in-Chief, Communications in Number Theory and Physics
2005 - present Editors-in-Chief, Pure and Applied Mathematics Quarterly
2004 - present Editor-in-Chief, Dynamics of Partial Differential Equations
2001 - present Honorary Editor, Communications in Information and Systems
1997 - Editorial Boards, Editor, Journal of Mathematical Physics
1997 - present Editor-in-Chief, Advances in Theoretical Mathematics and Physics
1997 - present Editor-in-Chief, Asian Journal of Mathematics
1994 - present Editor-in-Chief, Methods and Application of Analysis
1994 - Editorial Boards, Editor, Advances in Mathematics
1993 - present Editorial Boards, Editor, Mathematical Research Letters
1993 - present Editorial Boards, Advisor, Communications in Analysis and Geometry
1993 - present Editorial Boards, Advisor, Methods and Applications of Analysis
1982 - 1999 Editor, Communication in Mathematical Physics
1981 - 1988 Editor, Inventiones Mathematicae
1980 - present Editor-in-Chief, Journal of Differential Geometry