Duong Hong Phong (Vietnamese: Dương Hồng Phong, born 30 August 1953) is an American mathematician of Vietnamese origin. He is a professor of mathematics at Columbia University. He is known for his research on complex analysis, partial differential equations, string theory and complex geometry.

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.^[1]

In 1977, he defended his dissertation entitled "On Hölder and L_p 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.^[2]

In 1994 he was an Invited Speaker at the ICM in Zürich.^[3] He was the second Vietnamese to receive the honor (after Frédéric Pham).^[4]

In 2009 Phong was awarded the Stefan Bergman Prize for his research on the operators involved in the Neumann d-bar problem and on pseudo-differential operators.^[5]

He was named to the 2021 class of fellows of the American Mathematical Society "for contributions to analysis, geometry, and mathematical physics".^[6]

• with C. Fefferman: On positivity of pseudo-differential operators. Proc Natl Acad Sci U S A. 1978 Oct; 75(10): 4673–4674. PMC 336181
• On integral representations for the Neumann operator. Proc Natl Acad Sci U S A. 1979 Apr; 76(4): 1554–1558. PMC 383427
• with C. Fefferman: On the lowest eigenvalue of a pseudo-differential operator. Proc Natl Acad Sci U S A. 1979 Dec; 76(12): 6055–6056. PMC 411799
• with C. Fefferman: On the asymptotic eigenvalue distribution of a pseudo-differential operator. Proc Natl Acad Sci U S A. 1980 Oct; 77(10): 5622–5625. PMC 350120
• with C. Fefferman: Symplectic geometry and positivity of pseudo-differential operators. Proc Natl Acad Sci U S A. 1982 Jan; 79(2): 710–713. PMC 345817
• with E. M. Stein: Singular integrals related to the Radon transform and boundary value problems. Proc Natl Acad Sci U S A. 1983 Dec; 80(24): 7697–7701. PMC 534412
• with E. M. Stein. "Hilbert integrals, singular integrals, and Radon transforms I." Acta Mathematica 157, no. 1 (1986): 99–157. doi:10.1007/BF02392592
• with Eric D'Hoker: "The geometry of string perturbation theory." Reviews of Modern Physics 60, no. 4 (1988): 917 doi:10.1103/RevModPhys.60.917
• with E. M. Stein: "The Newton polyhedron and oscillatory integral operators." Acta Mathematica 179, no. 1 (1997): 105–152. doi:10.1007/BF02392721
• with Jacob Sturm: "Lectures on stability and constant scalar curvature." Current developments in mathematics 2007 (2009): 101–176. arXiv:0801.4179
• with Jacob Sturm: Regularity of geodesic rays and Monge-Ampère equations. Proc. Amer. Math. Soc. 138 (2010), 3637–3650. doi:10.1090/S0002-9939-10-10371-2
• with Jian Song and Jacob Sturm: "Complex Monge Ampere Equations." arXiv:1209.2203 (2012).
• with Pengfei Guan: Partial Legendre transforms of non-linear equations. Proc. Amer. Math. Soc. 140 (2012), 3831-3842. doi:10.1090/S0002-9939-2012-11210-9