Duong Hong Phong

Dương Hồng Phong (born 30 August 1953, Nam Dinh, Vietnam) is a Vietnamese mathematician and professor at Columbia University. He is known for his research on partial differential equations.

Education and career

After graduating from Lycée Jean-Jacques Rousseau in Saigon, he 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, who supervised the doctoral dissertations of two mathematicians, Terence Tao and Charles Fefferman, who became Fields medalists.[1]

For the academic year 1977–1978 Phong was a researcher at the Institute for Advanced Study in Princeton, New Jersey.

In 1994 he was an Invited Speaker at the ICM in Zurich.[2] He was the fifth Vietnamese to receive the honor following Frédéric Pham (the third is Ngo Bao Chau),[3] Tien Cuong Dinh, Pham Huu Tiep, and Van Vu.[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]

Selected publications

  • 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. Phong, D. H; Sturm, Jacob (2008). "arxiv.org preprint". arXiv:0801.4179 [math.DG].
  • 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 preprint 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

References

  1. ↑ Duong Hong Phong at the Mathematics Genealogy Project
  2. ↑ 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.
  3. ↑ "Giáo sư Ngô Bảo Châu đoạt giải toán học Fields (Professor Ngo Bao Chau wins Fields mathematics)". VnExpress. 19 August 2010. (in Vietnamese)
  4. ↑ [://en.wikipedia.org/wiki/Van_H._Vu ://en.wikipedia.org/wiki/Van_H._Vu] Check |url= value (help). Missing or empty |title= (help)
  5. ↑ "Mok and Phong Receive 2009 Bergman Prize. Notices of AMS Vol 58 no. 4, 2011" (PDF).
  • "Duong H. Phong, Professor Mathematics, Columbia University". math.columbia.edu.


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