Duong Hong Phong

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Duong Hong Phong (born August 30, 1953 in Nam Dinh ) is a Vietnamese-American mathematician and mathematical physicist.

Phong attended the Lycée Jean-Jacques Rousseau in Saigon and studied at the École polytechnique fédérale de Lausanne and at Princeton University , where he received his bachelor's degree in 1973 and his master's degree in 1974 and his doctorate in mathematics in 1977 with Elias Stein ( On Hölder and Lp Estimates for the Conjugate Partial Equation on Strongly Pseudo-Convex Domains ). As a post-doctoral student , he was at the Institute for Advanced Study in 1977/78 . He is Professor of Mathematics at Columbia University , where he became Assistant Professor in 1978 and Associate Professor in 1981. From 1982 to 1984 he was a Sloan Research Fellow .

Phong studies pseudo differential operators , Fourier integral operators , differential geometry, complex geometry, and partial differential equations. In physics, Eric D'Hoker dealt with the geometry behind superstring perturbation theory in the 1980s, along with other topics related to superstrings and their mathematics, as well as integrable systems.

In 2009 he received the Stefan Bergman Prize for research on pseudo differential operators and the Neumann-d-bar problem. In 1994 he was invited speaker at the International Congress of Mathematicians in Zurich (Regularity of Fourier Integral Operators).

He is a US citizen.

Fonts (selection)

  • with D'Hoker: Multiloop amplitudes for the bosonic Polyakov string, Nucl. Phys. B, Vol. 269, 1986, pp. 205-234
  • with D'Hoker: Loop amplitudes for the fermionic string, Nucl. Phys. B, Vol. 278, 1986, pp. 225-241
  • with D'Hoker: On determinants of Laplacians on Riemann surfaces, Communications in Mathematical Physics, Volume 104, 1986, pp. 537-545
  • with D'Hoker: The geometry of string perturbation theory, Reviews of Modern Physics, Volume 60, 1988, p. 917
  • with D'Hoker: Seiberg-Witten theory and integrable systems, lectures Edinburgh, Kyoto, Arxiv 1999
  • with D'Hoker: Lectures on supersymmetric Yang-Mills theory and integrable systems, in: D'Hoker, Phong, Yvan Saint-Aubin, Luc Vinet (eds.): Theoretical physics at the end of the twentieth century, CRM Summer School, Banff, Springer 2002, pp. 1–125
  • with D'Hoker: Two-loop superstrings .: I. Main formulas, Phys. Lett. B, Vol. 529, 2002, pp. 241-255
  • with D'Hoker: Lectures on two loop superstrings, Hangzhou, Peking 2002, Arxiv

Mathematical work:

  • with Charles Fefferman : On positivity of pseudo-differential operators, Proc. Nat. Acad. Sci. USA, Vol. 75, 1978, pp. 4673-4674
  • On integral representations for the Neumann operator, Proc. Nat. Acad. USA, Vol. 76, 1979, pp. 1554-1558
  • with C. Fefferman: On the lowest eigenvalue of a pseudo-differential operator, Proc. Nat. Acad. USA, Vol. 76, 1979, pp. 6055-6056
  • with C. Fefferman: On the asymptotic eigenvalue distribution of a pseudo-differential operator, Proc. Nat. Acad. USA, Volume 77, 1980, pp. 5622-5625
  • with C. Fefferman: Symplectic geometry and positivity of pseudo-differential operators, Proc. Nat. Acad. USA, Vol. 79, 1982, pp. 710-713
  • with EM Stein: Singular integrals related to the Radon transform and boundary value problems, Proc. Nat. Acad. Sci. USA, Vol. 80, 1983, pp. 7697-7701
  • with EM Stein: Hilbert integrals, singular integrals, and Radon transforms I, Acta Mathematica, Volume 157, 1986, pp. 99–157.
  • with EM Stein: The Newton polyhedron and oscillatory integral operators, Acta Mathematica, Volume 179, 1997, pp. 105–152.
  • with Jacob Sturm: Lectures on stability and constant scalar curvature, Current developments in mathematics 2007, 2009, pp. 101–176.
  • with Jacob Sturm: Regularity of geodesic rays and Monge-Ampère equations. Proc. Amer. Math. Soc., Volume 138, 2010, pp. 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., Volume 140, 2012, pp. 3831-3842

Web links

Individual evidence

  1. ↑ Life and career data American Men and Women of Science , Thomson Gale 2004
  2. ↑ Duong Hong Phong in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Phong, Duong Hong
BRIEF DESCRIPTION Vietnamese-American mathematician and mathematical physicist
DATE OF BIRTH August 30, 1953
PLACE OF BIRTH Nam Định (city)