Duong Hong Phong
Duong Hong Phong
Vietnamese: Dương Hồng Phong
30 August 1953
Duong Hong Phong (Vietnamese: Dương Hồng Phong, born 30 August 1953, Nam Dinh, Vietnam) 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.
Education and career
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 a graduate student at Princeton University.
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.
- 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
- Phong, Duong H. (1995). "Regularity of Fourier integral operators". In: Proceedings of the International Congress of Mathematicians. Birkhäuser Basel. pp. 862–874. doi:10.1007/978-3-0348-9078-6_15.
- "Mok and Phong Receive 2009 Bergman Prize. Notices of AMS Vol 58 no. 4, 2011" (PDF).
- Duong Hong Phong at the Mathematics Genealogy Project
- "Duong H. Phong, Professor Mathematics, Columbia University". math.columbia.edu.