Academic Appointments


  • Professor, Mathematics

Administrative Appointments


  • Assistant Professor, New York University, Courant Institute (1969 - 1973)
  • Associate Professor, New York University, Courant Institute (1973 - 1976)
  • Director, Division of Wave Propagation and Applied Mathematics, Courant Institute (1979 - 1993)
  • Professor, Stanford University (1993 - 1997)
  • Robert Grimmett Professor of Mathematics, Stanford University (1997 - Present)
  • Alfred P. Sloan Fellow, Alfred P. Sloan Foundation (1974 - 1976)
  • John Simon Guggenheim Fellow, Guggenheim Foundation (1983 - 1984)
  • Invited speaker, International Congress of Mathematicians (1986 - 1986)
  • Honorary Doctor of Science, University of Athens (1987 - 1987)
  • Invited speaker, International Congress of Mathematical Physics (1994 - 1994)
  • Invited Plenary speaker, International Congress of Mathematicians (1998 - 1998)
  • Fellow, American Academy of Arts and Sciences (2000 - 2000)
  • Member, U.S. National Academy of Sciences (2000 - 2000)
  • Sackler distinguished visitor, Tel Aviv University (2000 - 2000)
  • Lighthill Lecture, British Mathematical Council (2002 - 2002)
  • Invited plenary speaker, SIAM 50th anniversary meeting (2002 - 2002)
  • Invited plenary speaker, International Congress of Industrial and Applied Mathematics (2003 - 2003)
  • Invited plenary speaker, German Mathematical Union (2004 - 2004)
  • Fellow, SIAM (2009 - 2009)
  • Josiah Willard Gibbs Lecture, American Mathematical Society (2011 - 2011)
  • Doctor Honoris Causa, University of Paris VII (2011 - 2011)
  • Professor, New York University, Courant Institute (1976 - 1993)

Honors & Awards


  • SIAM von Neumann Prize, Society of Industrial and Applied Mathematics (2006)
  • William Benter Prize, American Mathematical Society (2010)

Boards, Advisory Committees, Professional Organizations


  • Member, INRIA, Rocquencourt, France (1974 - 1975)
  • Member, Observatoire de Nice France (1975 - 1975)
  • Member, INRIA, Rocquencourt, France (1976 - 1977)
  • Visiting Associate Professor, Cornell University (1976 - 1977)
  • Visiting Scientist, Exxon Research Corp. (1983 - 1984)
  • Visiting Professor, Univ. of Paris Dauphine (1984 - 1984)
  • Visiting Member, Institute for Advanced Study, Princeton (1990 - 1992)
  • Gordon Moore Distinguished Scholar, Caltech (2003 - 2004)
  • Member, Institute for Advanced Study, Hong Kong University of Science and Technology (2008 - 2008)
  • W. Romberg Guest Professor, Heidelberg University (2010 - 2010)
  • Schlumberger Visiting Professor, Institut des Hautes ´Etudes Scientifiques, Paris (2010 - 2010)

Program Affiliations


  • Institute for Computational and Mathematical Engineering (ICME)

Professional Education


  • B.E.E, Union College (1965)
  • M.S, New York University, Courant Institute, Mathematics (1967)
  • Ph.D, New York University, Courant Institute, Mathematics (1969)

2018-19 Courses


Stanford Advisees


All Publications