After graduating from Lycée Jean-Jacques Rousseau in Saigon, Phong attended a university year at the École Polytechnique Fédérale, Lausanne, Switzerland and then went to the United States as an undergraduate and then a graduate student at
Princeton University. From 1975 to 1977, he was an L. E. Dickson instructor at the
University of Chicago. In 1977, he defended his dissertation entitled "On Hölder and
Lp Estimates for the Conjugate Partial Equation on Strongly Pseudo-Convex Domains" under the direction of
Elias Stein. For the academic year 1977–1978, Phong was a researcher at the
Institute for Advanced Study in
Princeton, New Jersey. Since 1978, he has been at
Columbia University. He served as the chair of the Columbia math department from 1995 to 1998. ==Recognition==