July 2019              Honorary member, The Hong Kong Academy of Sciences.

Jan 2013                Fellow, American Mathematical Society

18 May                  Fellow, Morningside College, The Chinese University of Hong Kong.

2009-30Jun2019 

2009                      Member of the Selection Committee for Distinguished Research Achievement Award (DRAA) of the University of Hong Kong

2008                      Foreign Member, Indian National Academy of Science.

2005                      Foreign Member, National Academy of Lincei, Italy

July 2005              Member of the Overseas Expert Consultant Committee of Overseas Chinese Affairs Office of State Council.

2003                      Foreign Member, Russian Academy of Sciences

1995                      Foreign Member, Chinese Academy of Sciences

1993                      Member, National Academy of Sciences, U.S.A.

1993                      Member, National Academy of Sciences, U.S.A.

1990 -1992            Fellow, American Association for the Advancement of Science 

1989                      Member, Scientific Advisory Council, Mathematical Sciences Research Institute 

1989                      Member, Board of Mathematical Sciences, National Academy of Science, U.S.A 

1985                      Member, American Physical Society

1985                      Member, Society for Industrial and Applied Mathematics, U.S.A

1984                      Academician, Academia Sinica, Taiwan

1983                      Fellow, New York Academy of Sciences

1982                      Member, American Academy of Arts and Sciences

1980                      Honorary Member, Academic Committee, Institute of Mathematics,Chinese Academy of Sciences, Beijing

1971                      Member, American Mathematical Society