Duong Hong Phong ( vi, 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 Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates Function (mathematics), functions of complex numbers. It is helpful in many branches of mathemati ...

partial differential equation In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a Multivariable calculus, multivariable function. The function is often thought of as an "unknown" to be sol ...

string theory In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings. String theory describes how these strings propagate through space and interac ...

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 an undergraduate and then a graduate student at Princeton University. 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.

Recognition

In 1994 he was an Invited Speaker at the ICM in Zurich. He was the second Vietnamese to receive the honor (after Frédéric Pham). In 2009 Phong was awarded the

Stefan Bergman Prize The Stefan Bergman Prize is a mathematics award, funded by the estate of the widow of mathematician Stefan Bergman and supported by the American Mathematical Society. The award is granted for mathematical research in: "1) the theory of the kernel f ...

for his research on the operators involved in the Neumann ''d''-bar problem and on pseudo-differential operators. He was named to the 2021 class of fellows of the American Mathematical Society "for contributions to analysis, geometry, and mathematical physics".

Selected publications

*with C. Fefferman: On positivity of pseudo-differential operators. Proc Natl Acad Sci U S A. 1978 Oct; 75(10): 4673–4674. *On integral representations for the Neumann operator. Proc Natl Acad Sci U S A. 1979 Apr; 76(4): 1554–1558. *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. *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. *with C. Fefferman: Symplectic geometry and positivity of pseudo-differential operators. Proc Natl Acad Sci U S A. 1982 Jan; 79(2): 710–713. *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. *with E. M. Stein. "Hilbert integrals, singular integrals, and Radon transforms I." Acta Mathematica 157, no. 1 (1986): 99–157. *with

Eric D'Hoker Eric D’Hoker (born 18 October 1956 in Belgium) is a Belgian-American theoretical physicist. Biography D’Hoker studied from 1974 to 1975 at Paris 13 University in Orsay, from 1975 to 1976 at the Lycée Condorcet, and from 1976 to 1978 at the É ...

: "The geometry of string perturbation theory." Reviews of Modern Physics 60, no. 4 (1988): 917 *with E. M. Stein: "The Newton polyhedron and oscillatory integral operators." Acta Mathematica 179, no. 1 (1997): 105–152. *with Jacob Sturm: "Lectures on stability and constant scalar curvature." Current developments in mathematics 2007 (2009): 101–176. *with Jacob Sturm: Regularity of geodesic rays and Monge-Ampère equations. Proc. Amer. Math. Soc. 138 (2010), 3637–3650. *with Jian Song and Jacob Sturm: "Complex Monge Ampere Equations." (2012). *with Pengfei Guan: Partial Legendre transforms of non-linear equations. Proc. Amer. Math. Soc. 140 (2012), 3831-3842.

References

External links

* * {{DEFAULTSORT:Duong, Hong Phong 1953 births Living people 20th-century Vietnamese mathematicians Princeton University alumni Columbia University faculty Fellows of the American Mathematical Society 21st-century Vietnamese mathematicians