Phu is professor at the Institute of Mathematics, Vietnam Academy of Science and Technology. He obtained his PhD (Dr. rer. nat.) in 1983 and Habilitation (Dr. sc. nat.) in 1987 at the University of Leipzig, Germany. He was awarded as Werner Romberg Distinguished Guest Professor of the Heidelberg Graduate School of Mathematical and Computational Methods for the Sciences, University of Heidelberg, Germany in 2008. He is Corresponding Member of the Heidelberg Academy of Sciences and Humanities since 2004 and Corresponding Member of the Bavarian Academy of Sciences and Humanities since 2010.