Edit Profile (opens in new tab) Phong, Duong Hong Compute Distance To: Compute Author ID: phong.duong-hong Published as: Phong, D. H.; Phong, Duong H.; Phong, Duong; Phong, Duong Hong; Phong, D. External Links: MGP · Wikidata · GND Documents Indexed: 127 Publications since 1977 7 Contributions as Editor · 4 Further Contributions Biographic References: 2 Publications Co-Authors: 36 Co-Authors with 128 Joint Publications 1,301 Co-Co-Authors all top 5 Co-Authors 9 single-authored 40 D’Hoker, Eric 29 Sturm, Jacob 16 Stein, Elias Menachem 14 Fefferman, Charles Louis 12 Picard, Sebastien 12 Zhang, Xiangwen 9 Krichever, Igor’ Moiseevich 8 Song, Jian 4 Guo, Bin 4 Wainger, Stephen 4 Weinkove, Ben 3 Ionescu, Alexandru D. 3 Yau, Shing-Tung 2 Aoki, Kenichiro 2 Beckner, William 2 Guan, Pengfei 2 Lanzani, Loredana 2 Nagel, Alexander 2 Pierce, Lillian B. 2 Ricci, Fulvio 2 Sogge, Christopher D. 2 Tao, Terence 1 Akahori, Takao 1 Arocena, Rodrigo 1 Burkholder, Donald L. 1 Cai, Ronggen 1 Calderon, Alberto Pedro 1 Ciarlet, Philippe Gaston 1 Coifman, Ronald Raphaël 1 Córdoba Barba, Antonio Juan 1 Cotlar, Mischa 1 Dafni, Galia 1 Dolan, Louise 1 Eguchi, Tohru 1 Fefferman, Robert A. 1 Ferrara, Sergio 1 Gao, Changjun 1 Gao, Yihong 1 Gasper, George Jun 1 Ge, Xianhui 1 Gukov, Sergei 1 Gundy, R. R. 1 Gutiérrez, Cristian E. 1 Gutperle, Michael 1 Harris, Michael Howard 1 Hawking, Stephen William 1 Hongler, Clément 1 Hosono, Shinobu 1 Huang, Zhijie 1 Hunt, Richard A. 1 Ionescu, Alex 1 Janeczko, Stanisław 1 Janson, Svante 1 Jerison, David S. 1 Jodeit, Max jun. 1 Jones, Peter Wilcox 1 Kearn, Vickie 1 Kenig, Carlos Eduardo 1 Knapp, Anthony William 1 Komatsu, Gen 1 Krantz, Steven George 1 Kuranishi, Masatake 1 Kurtz, Douglas S. 1 Lax, Peter David 1 Li, Jun 1 Li, Miao 1 Liu, Kefeng 1 Magyar, Akos 1 McIntosh, Alan 1 Meyer, Yves F. 1 Mirek, Mariusz 1 Miyajima, Kimio 1 Montgomery, Hugh Lowell 1 Mumford, David Bryant 1 Namba, Makoto 1 Nappi, Chiara R. 1 Neugebauer, Christoph J. 1 Nguyen Minh Chuong 1 Pychorides, S. K. 1 Ross, Julius 1 Rothschild, Linda Preiss 1 Sadosky, Cora 1 Sakai, Kazuhiro 1 Sesum, Natasa 1 Shakarchi, Rami 1 Shen, Yougen 1 Silvotti, Roberto 1 Stein, Jeremy C. 1 Stein, Karen 1 Street, Brian 1 Strominger, Andrew Eben 1 Sturm, J. A. 1 Taibleson, Mitchell H. 1 Thomas, Richard Paul 1 Tô, Dat T. 1 Vinet, Luc 1 Wang, Bin 1 Weiss, Guido Leopold 1 Wheeden, Richard Lee 1 Widom, Harold ...and 5 more Co-Authors all top 5 Serials 21 Nuclear Physics. B 6 Journal of Differential Geometry 6 Proceedings of the National Academy of Sciences of the United States of America 6 Communications in Analysis and Geometry 5 Communications in Mathematical Physics 5 Inventiones Mathematicae 5 Mathematische Annalen 4 American Journal of Mathematics 3 Mathematische Zeitschrift 2 Acta Mathematica 2 Duke Mathematical Journal 2 Proceedings of the American Mathematical Society 2 The Asian Journal of Mathematics 2 Annals of Mathematics. Second Series 2 Pure and Applied Mathematics Quarterly 2 AMS/IP Studies in Advanced Mathematics 2 Advanced Lectures in Mathematics (ALM) 1 Communications on Pure and Applied Mathematics 1 Physics Letters. B 1 Theoretical and Mathematical Physics 1 Acta Mathematica Vietnamica 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Commentarii Mathematici Helvetici 1 Geometriae Dedicata 1 Journal für die Reine und Angewandte Mathematik 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Notices of the American Mathematical Society 1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica 1 Mathematical Research Letters 1 Regular and Chaotic Dynamics 1 Physical Review Letters 1 Journal of Nonlinear Mathematical Physics 1 The Journal of Symplectic Geometry 1 Journal of the Institute of Mathematics of Jussieu 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Princeton Mathematical Series 1 Analysis & PDE 1 Cambridge Journal of Mathematics 1 Annals of PDE all top 5 Fields 47 Several complex variables and analytic spaces (32-XX) 47 Quantum theory (81-XX) 42 Differential geometry (53-XX) 40 Partial differential equations (35-XX) 21 Global analysis, analysis on manifolds (58-XX) 17 Algebraic geometry (14-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 14 Dynamical systems and ergodic theory (37-XX) 9 Operator theory (47-XX) 8 General and overarching topics; collections (00-XX) 8 Integral transforms, operational calculus (44-XX) 7 Functions of a complex variable (30-XX) 5 Number theory (11-XX) 5 Relativity and gravitational theory (83-XX) 4 Nonassociative rings and algebras (17-XX) 4 Abstract harmonic analysis (43-XX) 4 Functional analysis (46-XX) 2 History and biography (01-XX) 2 Integral equations (45-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 110 Publications have been cited 2,022 times in 1,154 Documents Cited by ▼ Year ▼ Hilbert integrals, singular integrals, and Radon transforms. I. Zbl 0622.42011Phong, D. H.; Stein, Elias M. 83 1986 Estimates for the Bergman and Szegö projections on strongly pseudo-convex domains. Zbl 0392.32014Phong, D. H.; Stein, Elias M. 75 1977 On determinants of Laplacians on Riemann surfaces. Zbl 0599.30073D’Hoker, Eric; Phong, D. H. 73 1986 The Newton polyhedron and oscillatory integral operators. Zbl 0896.35147Phong, D. H.; Stein, Elias M. 68 1997 Subelliptic eigenvalue problems. Zbl 0503.35071Fefferman, C.; Phong, D. H. 58 1983 Two-loop superstrings. VI: Nonrenormalization theorems and the 4-point function. Zbl 1207.81111D’Hoker, Eric; Phong, D. H. 50 2005 On positivity of pseudo-differential operators. Zbl 0391.35062Fefferman, C.; Phong, D. H. 49 1978 Two-loop superstrings. IV: The cosmological constant and modular forms. Zbl 0997.81083D’Hoker, E.; Phong, D. H. 48 2002 The uncertainty principle and sharp Garding inequalities. Zbl 0458.35099Fefferman, C.; Phong, D. H. 44 1981 Two-loop superstrings. II: The chiral measure on moduli space. Zbl 0996.81079D’Hoker, Eric; Phong, D. H. 44 2002 Multiplier ideal sheaves and the Kähler-Ricci flow. Zbl 1143.53064Phong, D. H.; Sesum, Natasa; Sturm, Jacob 43 2007 Two-loop superstrings. I: Main formulas. Zbl 0990.81100D’Hoker, Eric; Phong, D. H. 43 2002 Models of degenerate Fourier integral operators and Radon transforms. Zbl 0833.43004Phong, D. H.; Stein, Elias M. 41 1994 On stability and the convergence of the Kähler-Ricci flow. Zbl 1125.53048Phong, Duong H.; Sturm, Jacob 38 2006 Two-loop superstrings and \(S\)-duality. Zbl 1128.81317D’Hoker, Eric; Gutperle, Michael; Phong, D. H. 38 2005 The Kähler-Ricci flow and the \(\overline \partial\) operator on vector fields. Zbl 1162.32014Phong, D. H.; Song, Jian; Sturm, Jacob; Weinkove, Ben 35 2009 Radon transforms and torsion. Zbl 0761.46033Phong, D. H.; Stein, Elias M. 34 1991 On the growth and stability of real-analytic functions. Zbl 1015.26031Phong, D. H.; Stein, Elias M.; Sturm, J. A. 34 1999 Two-loop superstrings. III: Slice independence and absence of ambiguities. Zbl 0996.81080D’Hoker, Eric; Phong, D. H. 33 2002 The Dirichlet problem for degenerate complex Monge-Ampère equations. Zbl 1222.32044Phong, D. H.; Sturm, Jacob 32 2010 On the integrable geometry of soliton equations and \(N=2\) supersymmetric gauge theories. Zbl 0889.58044Krichever, I. M.; Phong, D. H. 31 1997 Algebraic estimates, stability of local zeta functions, and uniform estimates for distribution functions. Zbl 0995.11065Phong, D. H.; Sturm, Jacob 29 2000 Conformal scalar fields and chiral splitting on super Riemann surfaces. Zbl 0698.58008D’Hoker, Eric; Phong, D. H. 28 1989 Calogero-Moser Lax pairs with spectral parameter for general Lie algebras. Zbl 0953.37020D’Hoker, Eric; Phong, D. H. 28 1998 The Fu-Yau equation with negative slope parameter. Zbl 1378.58017Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen 27 2017 Some further classes of pseudo-differential and singular-integral operators arising in boundary value problems. I: Composition of operators. Zbl 0526.35079Phong, D. H.; Stein, Elias M. 27 1982 Hilbert integrals, singular integrals, and Radon transforms. II. Zbl 0656.42009Phong, D. H.; Stein, Elias M. 26 1986 Complex Monge-Ampère equations. Zbl 1382.32023Phong, D. H.; Song, Jian; Sturm, Jacob 26 2012 The Moser-Trudinger inequality on Kähler-Einstein manifolds. Zbl 1158.58005Phong, D. H.; Song, Jian; Sturm, Jacob; Weinkove, Ben 26 2008 Test configurations for \(k\)-stability and geodesic rays. Zbl 1193.53104Phong, Duong H.; Sturm, Jacob 25 2007 The Monge-Ampère operator and geodesics in the space of Kähler potentials. Zbl 1120.32026Phong, D. H.; Sturm, Jacob 25 2006 Multilinear level set operators, oscillatory integral operators, and Newton polyhedra. Zbl 0993.47034Phong, D. H.; Stein, Elias M.; Sturm, Jocob 25 2001 The effective prepotential of \(N=2\) supersymmetric SU\((N_c)\) gauge theories. Zbl 0925.81380D’Hoker, Eric; Krichever, I. M.; Phong, D. H. 24 1997 The box graph in superstring theory. Zbl 0990.81655D’Hoker, Eric; Phong, D. H. 24 1995 Calogero-Moser systems in \(\text{SU}(N)\) Seiberg-Witten theory. Zbl 1052.81624D’Hoker, Eric; Phong, D. H. 23 1998 Singular integrals related to the Radon transform and boundary value problems. Zbl 0567.42010Phong, D. H.; Stein, Elias M. 20 1983 Oscillatory integrals with polynomial phases. Zbl 0829.42014Phong, D. H.; Stein, Elias M. 19 1992 Stability, energy functionals, and Kähler-Einstein metrics. Zbl 1098.32012Phong, D. H.; Sturm, Jacob 19 2003 Scalar curvature, moment maps, and the Deligne pairing. Zbl 1077.53068Phong, D. H.; Sturm, Jacob 19 2004 Lectures on stability and constant scalar curvature. Zbl 1220.53087Phong, D. H.; Sturm, Jacob 19 2010 Two-loop superstrings. V: Gauge slice independence of the \(N\)-point function. Zbl 1207.81110D’Hoker, Eric; Phong, D. H. 19 2005 Geometric flows and Strominger systems. Zbl 1407.32011Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen 19 2018 A second order estimate for general complex Hessian equations. Zbl 1353.32024Phong, Duong; Picard, Sebastien; Zhang, Xiangwen 18 2016 Lectures on stability and constant scalar curvature. Zbl 1188.53081Phong, D. H.; Sturm, Jacob 18 2009 The Kähler-Ricci flow with positive bisectional curvature. Zbl 1145.53050Phong, D. H.; Song, Jian; Sturm, Jacob; Weinkove, Ben 18 2008 On estimates for the Fu-Yau generalization of a Strominger system. Zbl 1417.58014Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen 18 2019 Deligne pairings and the Knudsen-Mumford expansion. Zbl 1138.14003Phong, D. H.; Ross, Julius; Sturm, Jacob 17 2008 The effective prepotential of \(N=2\) supersymmetric SO\((N_c)\) and Sp\((N_c)\) gauge theories. Zbl 0925.81381D’Hoker, Eric; Krichever, I. M.; Phong, D. H. 17 1997 Symplectic forms in the theory of solitons. Zbl 0931.35148Krichever, I. M.; Phong, D. H. 16 1998 On integral representations for the Neumann operator. Zbl 0402.35074Phong, D. H. 16 1979 Asyzygies, modular forms, and the superstring measure. II. Zbl 1115.81377D’Hoker, Eric; Phong, D. H. 16 2005 Damped oscillatory integral operators with analytic phases. Zbl 0899.47037Phong, D. H.; Stein, Elias M. 16 1998 The renormalization group equation in \(N=2\) supersymmetric gauge theories. Zbl 0979.81587D’Hoker, Eric; Krichever, I. M.; Phong, D. H. 14 1997 Two-loop superstrings on orbifold compactifications. Zbl 1149.81343Aoki, Kenichiro; D’Hoker, Eric; Phong, D. H. 14 2004 Anomaly flows. Zbl 1400.32012Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen 14 2018 The anomaly flow and the Fu-Yau equation. Zbl 1410.81030Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen 14 2018 Asyzygies, modular forms, and the superstring measure. I. Zbl 1115.81376D’Hoker, Eric; Phong, D. H. 13 2005 Two-loop superstrings VII. Cohomology of chiral amplitudes. Zbl 1190.81101D’Hoker, Eric; Phong, D. H. 12 2008 Regularity of geodesic rays and Monge-Ampère equations. Zbl 1205.31004Phong, D. H.; Sturm, Jacob 12 2010 On the convergence of the modified Kähler-Ricci flow and solitons. Zbl 1210.53066Phong, D. H.; Song, Jian; Sturm, Jacob; Weinkove, Ben 11 2011 On the construction of asymmetric orbifold models. Zbl 1213.81184Aoki, Kenichiro; D’Hoker, Eric; Phong, D. H. 11 2004 Functional determinants on Mandelstam diagrams. Zbl 0702.58014D’Hoker, Eric; Phong, D. H. 10 1989 Momentum analyticity and finiteness of the \(1\)-loop superstring amplitude. Zbl 1050.81637D’Hoker, Eric; Phong, D. H. 10 1993 Singular Radon transforms and oscillatory integrals. Zbl 0738.42011Phong, D. H.; Stein, Elias M. 9 1989 Degeneration of Kähler-Ricci solitons on Fano manifolds. Zbl 1360.53049Phong, D. H.; Song, Jian; Sturm, Jacob 9 2015 Calogero-Moser and Toda systems for twisted and untwisted affine Lie algebras. Zbl 0953.37019D’Hoker, Eric; Phong, D. H. 9 1998 Operator versions of the van der Corput lemma and Fourier integral operators. Zbl 0836.42008Phong, D. H.; Stein, Elias M. 9 1994 Singular integrals and Fourier integral operators. Zbl 0836.42009Phong, D. H. 9 1995 The Futaki invariant and the Mabuchi energy of a complete intersection. Zbl 1073.53091Phong, D. H.; Sturm, Jacob 8 2004 On a stopping process for oscillatory integrals. Zbl 0803.42003Phong, D. H.; Stein, Elias M. 8 1994 Two-loop vacuum energy for Calabi-Yau orbifold models. Zbl 1284.81229D’Hoker, Eric; Phong, Duong H. 8 2013 New curvature flows in complex geometry. Zbl 1408.32027Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen 8 2018 On the singularities of the pluricomplex Green’s function. Zbl 1329.32020Phong, D. H.; Sturm, Jacob 7 2014 Lower bounds for Schrödinger equations. Zbl 0492.35057Fefferman, C.; Phong, D. H. 7 1982 On the Kähler-Ricci flow on complex surfaces. Zbl 1133.53048Phong, D. H.; Sturm, Jacob 7 2005 Lax pairs and spectral curves for Calogero-Moser and spin Calogero-Moser systems. Zbl 0952.37041D’Hoker, E.; Phong, D. H. 7 1998 Lectures on supersymmetric Yang-Mills theory and integrable systems. Zbl 1149.81355D’Hoker, Eric; Phong, D. H. 7 2002 On the asymptotic eigenvalue distribution of a pseudo-differential operator. Zbl 0443.35082Fefferman, C.; Phong, D. H. 7 1980 Superstrings, super-Riemann surfaces, and supermoduli space. Zbl 0825.32001D’Hoker, E.; Phong, D. H. 7 1990 Fu-Yau Hessian equations. Zbl 1473.58015Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen 7 2021 Spectral curves for super-Yang-Mills with adjoint hypermultiplet for general simple Lie algebras. Zbl 0953.37021D’Hoker, Eric; Phong, D. H. 6 1998 Advances in deterministic and stochastic analysis. Proceedings of the 2nd international conference on abstract and applied analysis, Quy Nhon, Vietnam, June 4–9. 2005. Zbl 1115.35008 6 2007 On a conjecture of Demailly and Kollár. Zbl 0978.32004Phong, D. H.; Sturm, Jacob 6 2000 The anomaly flow on unimodular Lie groups. Zbl 1432.53098Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen 6 2019 Higher order deformations of complex structures. Zbl 1319.32010D’Hoker, Eric; Phong, Duong H. 5 2015 Cohomologie de Dolbeault à croissance logarithmique à l’infini. (Dolbeault cohomology with logarithmic growth at infinity). Zbl 0597.32025Harris, Michael; Phong, D. H. 5 1986 Dispersion relations in string theory. Zbl 0831.53054D’Hoker, Eric; Phong, D. H. 5 1994 Pseudo-locality for a coupled Ricci flow. Zbl 1394.53051Guo, Bin; Huang, Zhijie; Phong, Duong H. 5 2018 Spin chain models with spectral curves from M theory. Zbl 0992.37062Krichever, I.; Phong, D. H. 4 2000 On the algebraic constructibility of varieties of integrable rational functions on \(\mathbb C^n\). Zbl 1010.32017Phong, D. H.; Sturm, Jacob 4 2002 A maximum rank problem for degenerate elliptic fully nonlinear equations. Zbl 1261.35065Guan, Pengfei; Phong, D. H. 4 2012 The super period matrix with Ramond punctures in the supergravity formulation. Zbl 1331.81272D’Hoker, Eric; Phong, Duong H. 4 2015 A flow of conformally balanced metrics with Kähler fixed points. Zbl 1433.53100Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen 4 2019 Symplectic geometry and positivity of pseudo-differential operators. Zbl 0553.35089Fefferman, C.; Phong, D. H. 3 1982 On pointwise gradient estimates for the complex Monge-Ampère equation. Zbl 1317.32072Phong, Duong H.; Sturm, Jacob 3 2012 Partial Legendre transforms of non-linear equations. Zbl 1307.35010Guan, Pengfei; Phong, D. H. 3 2012 On asymptotics for the Mabuchi energy functional. Zbl 1089.32014Phong, D. H.; Sturm, Jacob 3 2004 Complex geometry and supergeometry. Zbl 1182.81059D’Hoker, Eric; Phong, D. H. 3 2007 Regularity of Fourier integral operators. Zbl 0838.44001Phong, Duong H. 2 1995 The Ricci flow on the sphere with marked points. Zbl 1431.53104Phong, D. H.; Song, Jian; Sturm, Jacob; Wang, Xiaowei 2 2020 Fu-Yau Hessian equations. Zbl 1473.58015Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen 7 2021 The Ricci flow on the sphere with marked points. Zbl 1431.53104Phong, D. H.; Song, Jian; Sturm, Jacob; Wang, Xiaowei 2 2020 Unification of the Kähler-Ricci and anomaly flows. Zbl 1469.53138Fei, Teng; Phong, Duong H. 1 2020 Analysis and applications: the mathematical work of Elias Stein. Zbl 1452.32001Fefferman, Charles; Ionescu, Alex; Tao, Terence; Wainger, Stephen 1 2020 On estimates for the Fu-Yau generalization of a Strominger system. Zbl 1417.58014Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen 18 2019 The anomaly flow on unimodular Lie groups. Zbl 1432.53098Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen 6 2019 A flow of conformally balanced metrics with Kähler fixed points. Zbl 1433.53100Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen 4 2019 On convergence criteria for the coupled flow of Li-Yuan-Zhang. Zbl 1414.53060Fei, Teng; Guo, Bin; Phong, Duong H. 1 2019 A geometric construction of solutions to 11D supergravity. Zbl 1419.53068Fei, Teng; Guo, Bin; Phong, Duong H. 1 2019 Geometric flows and Strominger systems. Zbl 1407.32011Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen 19 2018 Anomaly flows. Zbl 1400.32012Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen 14 2018 The anomaly flow and the Fu-Yau equation. Zbl 1410.81030Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen 14 2018 New curvature flows in complex geometry. Zbl 1408.32027Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen 8 2018 Pseudo-locality for a coupled Ricci flow. Zbl 1394.53051Guo, Bin; Huang, Zhijie; Phong, Duong H. 5 2018 The Fu-Yau equation with negative slope parameter. Zbl 1378.58017Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen 27 2017 A second order estimate for general complex Hessian equations. Zbl 1353.32024Phong, Duong; Picard, Sebastien; Zhang, Xiangwen 18 2016 Degeneration of Kähler-Ricci solitons on Fano manifolds. Zbl 1360.53049Phong, D. H.; Song, Jian; Sturm, Jacob 9 2015 Higher order deformations of complex structures. Zbl 1319.32010D’Hoker, Eric; Phong, Duong H. 5 2015 The super period matrix with Ramond punctures in the supergravity formulation. Zbl 1331.81272D’Hoker, Eric; Phong, Duong H. 4 2015 On the singularities of the pluricomplex Green’s function. Zbl 1329.32020Phong, D. H.; Sturm, Jacob 7 2014 Two-loop vacuum energy for Calabi-Yau orbifold models. Zbl 1284.81229D’Hoker, Eric; Phong, Duong H. 8 2013 Selected Papers of Masatake Kuranishi. Edited by Takao Akahori, Gen Komatsu, Kimio Miyajima, Makoto Namba, Duong H. Phong and Keizo Yamaguchi. Zbl 1295.32001Kuranishi, Masatake 1 2013 Hardy spaces and boundary conditions from the Ising model. Zbl 1282.30028Hongler, Clément; Phong, Duong H. 1 2013 Complex Monge-Ampère equations. Zbl 1382.32023Phong, D. H.; Song, Jian; Sturm, Jacob 26 2012 A maximum rank problem for degenerate elliptic fully nonlinear equations. Zbl 1261.35065Guan, Pengfei; Phong, D. H. 4 2012 On pointwise gradient estimates for the complex Monge-Ampère equation. Zbl 1317.32072Phong, Duong H.; Sturm, Jacob 3 2012 Partial Legendre transforms of non-linear equations. Zbl 1307.35010Guan, Pengfei; Phong, D. H. 3 2012 On the convergence of the modified Kähler-Ricci flow and solitons. Zbl 1210.53066Phong, D. H.; Song, Jian; Sturm, Jacob; Weinkove, Ben 11 2011 The Dirichlet problem for degenerate complex Monge-Ampère equations. Zbl 1222.32044Phong, D. H.; Sturm, Jacob 32 2010 Lectures on stability and constant scalar curvature. Zbl 1220.53087Phong, D. H.; Sturm, Jacob 19 2010 Regularity of geodesic rays and Monge-Ampère equations. Zbl 1205.31004Phong, D. H.; Sturm, Jacob 12 2010 The Kähler-Ricci flow and the \(\overline \partial\) operator on vector fields. Zbl 1162.32014Phong, D. H.; Song, Jian; Sturm, Jacob; Weinkove, Ben 35 2009 Lectures on stability and constant scalar curvature. Zbl 1188.53081Phong, D. H.; Sturm, Jacob 18 2009 The Moser-Trudinger inequality on Kähler-Einstein manifolds. Zbl 1158.58005Phong, D. H.; Song, Jian; Sturm, Jacob; Weinkove, Ben 26 2008 The Kähler-Ricci flow with positive bisectional curvature. Zbl 1145.53050Phong, D. H.; Song, Jian; Sturm, Jacob; Weinkove, Ben 18 2008 Deligne pairings and the Knudsen-Mumford expansion. Zbl 1138.14003Phong, D. H.; Ross, Julius; Sturm, Jacob 17 2008 Two-loop superstrings VII. Cohomology of chiral amplitudes. Zbl 1190.81101D’Hoker, Eric; Phong, D. H. 12 2008 Multiplier ideal sheaves and the Kähler-Ricci flow. Zbl 1143.53064Phong, D. H.; Sesum, Natasa; Sturm, Jacob 43 2007 Test configurations for \(k\)-stability and geodesic rays. Zbl 1193.53104Phong, Duong H.; Sturm, Jacob 25 2007 Advances in deterministic and stochastic analysis. Proceedings of the 2nd international conference on abstract and applied analysis, Quy Nhon, Vietnam, June 4–9. 2005. Zbl 1115.35008 6 2007 Complex geometry and supergeometry. Zbl 1182.81059D’Hoker, Eric; Phong, D. H. 3 2007 On stability and the convergence of the Kähler-Ricci flow. Zbl 1125.53048Phong, Duong H.; Sturm, Jacob 38 2006 The Monge-Ampère operator and geodesics in the space of Kähler potentials. Zbl 1120.32026Phong, D. H.; Sturm, Jacob 25 2006 Two-loop superstrings. VI: Nonrenormalization theorems and the 4-point function. Zbl 1207.81111D’Hoker, Eric; Phong, D. H. 50 2005 Two-loop superstrings and \(S\)-duality. Zbl 1128.81317D’Hoker, Eric; Gutperle, Michael; Phong, D. H. 38 2005 Two-loop superstrings. V: Gauge slice independence of the \(N\)-point function. Zbl 1207.81110D’Hoker, Eric; Phong, D. H. 19 2005 Asyzygies, modular forms, and the superstring measure. II. Zbl 1115.81377D’Hoker, Eric; Phong, D. H. 16 2005 Asyzygies, modular forms, and the superstring measure. I. Zbl 1115.81376D’Hoker, Eric; Phong, D. H. 13 2005 On the Kähler-Ricci flow on complex surfaces. Zbl 1133.53048Phong, D. H.; Sturm, Jacob 7 2005 Scalar curvature, moment maps, and the Deligne pairing. Zbl 1077.53068Phong, D. H.; Sturm, Jacob 19 2004 Two-loop superstrings on orbifold compactifications. Zbl 1149.81343Aoki, Kenichiro; D’Hoker, Eric; Phong, D. H. 14 2004 On the construction of asymmetric orbifold models. Zbl 1213.81184Aoki, Kenichiro; D’Hoker, Eric; Phong, D. H. 11 2004 The Futaki invariant and the Mabuchi energy of a complete intersection. Zbl 1073.53091Phong, D. H.; Sturm, Jacob 8 2004 On asymptotics for the Mabuchi energy functional. Zbl 1089.32014Phong, D. H.; Sturm, Jacob 3 2004 Stability, energy functionals, and Kähler-Einstein metrics. Zbl 1098.32012Phong, D. H.; Sturm, Jacob 19 2003 Two-loop superstrings. IV: The cosmological constant and modular forms. Zbl 0997.81083D’Hoker, E.; Phong, D. H. 48 2002 Two-loop superstrings. II: The chiral measure on moduli space. Zbl 0996.81079D’Hoker, Eric; Phong, D. H. 44 2002 Two-loop superstrings. I: Main formulas. Zbl 0990.81100D’Hoker, Eric; Phong, D. H. 43 2002 Two-loop superstrings. III: Slice independence and absence of ambiguities. Zbl 0996.81080D’Hoker, Eric; Phong, D. H. 33 2002 Lectures on supersymmetric Yang-Mills theory and integrable systems. Zbl 1149.81355D’Hoker, Eric; Phong, D. H. 7 2002 On the algebraic constructibility of varieties of integrable rational functions on \(\mathbb C^n\). Zbl 1010.32017Phong, D. H.; Sturm, Jacob 4 2002 Multilinear level set operators, oscillatory integral operators, and Newton polyhedra. Zbl 0993.47034Phong, D. H.; Stein, Elias M.; Sturm, Jocob 25 2001 Algebraic estimates, stability of local zeta functions, and uniform estimates for distribution functions. Zbl 0995.11065Phong, D. H.; Sturm, Jacob 29 2000 On a conjecture of Demailly and Kollár. Zbl 0978.32004Phong, D. H.; Sturm, Jacob 6 2000 Spin chain models with spectral curves from M theory. Zbl 0992.37062Krichever, I.; Phong, D. H. 4 2000 On the growth and stability of real-analytic functions. Zbl 1015.26031Phong, D. H.; Stein, Elias M.; Sturm, J. A. 34 1999 Calogero-Moser Lax pairs with spectral parameter for general Lie algebras. Zbl 0953.37020D’Hoker, Eric; Phong, D. H. 28 1998 Calogero-Moser systems in \(\text{SU}(N)\) Seiberg-Witten theory. Zbl 1052.81624D’Hoker, Eric; Phong, D. H. 23 1998 Symplectic forms in the theory of solitons. Zbl 0931.35148Krichever, I. M.; Phong, D. H. 16 1998 Damped oscillatory integral operators with analytic phases. Zbl 0899.47037Phong, D. H.; Stein, Elias M. 16 1998 Calogero-Moser and Toda systems for twisted and untwisted affine Lie algebras. Zbl 0953.37019D’Hoker, Eric; Phong, D. H. 9 1998 Lax pairs and spectral curves for Calogero-Moser and spin Calogero-Moser systems. Zbl 0952.37041D’Hoker, E.; Phong, D. H. 7 1998 Spectral curves for super-Yang-Mills with adjoint hypermultiplet for general simple Lie algebras. Zbl 0953.37021D’Hoker, Eric; Phong, D. H. 6 1998 Order parameters, free fermions, and conservation laws for Calogero-Moser systems. Zbl 1101.14313D’Hoker, Eric; Phong, D. H. 1 1998 The Newton polyhedron and oscillatory integral operators. Zbl 0896.35147Phong, D. H.; Stein, Elias M. 68 1997 On the integrable geometry of soliton equations and \(N=2\) supersymmetric gauge theories. Zbl 0889.58044Krichever, I. M.; Phong, D. H. 31 1997 The effective prepotential of \(N=2\) supersymmetric SU\((N_c)\) gauge theories. Zbl 0925.81380D’Hoker, Eric; Krichever, I. M.; Phong, D. H. 24 1997 The effective prepotential of \(N=2\) supersymmetric SO\((N_c)\) and Sp\((N_c)\) gauge theories. Zbl 0925.81381D’Hoker, Eric; Krichever, I. M.; Phong, D. H. 17 1997 The renormalization group equation in \(N=2\) supersymmetric gauge theories. Zbl 0979.81587D’Hoker, Eric; Krichever, I. M.; Phong, D. H. 14 1997 The box graph in superstring theory. Zbl 0990.81655D’Hoker, Eric; Phong, D. H. 24 1995 Singular integrals and Fourier integral operators. Zbl 0836.42009Phong, D. H. 9 1995 Regularity of Fourier integral operators. Zbl 0838.44001Phong, Duong H. 2 1995 Models of degenerate Fourier integral operators and Radon transforms. Zbl 0833.43004Phong, D. H.; Stein, Elias M. 41 1994 Operator versions of the van der Corput lemma and Fourier integral operators. Zbl 0836.42008Phong, D. H.; Stein, Elias M. 9 1994 On a stopping process for oscillatory integrals. Zbl 0803.42003Phong, D. H.; Stein, Elias M. 8 1994 Dispersion relations in string theory. Zbl 0831.53054D’Hoker, Eric; Phong, D. H. 5 1994 Momentum analyticity and finiteness of the \(1\)-loop superstring amplitude. Zbl 1050.81637D’Hoker, Eric; Phong, D. H. 10 1993 Complex geometry and string theory. Zbl 0799.32009Phong, D. H. 1 1993 Oscillatory integrals with polynomial phases. Zbl 0829.42014Phong, D. H.; Stein, Elias M. 19 1992 Radon transforms and torsion. Zbl 0761.46033Phong, D. H.; Stein, Elias M. 34 1991 Superstrings, super-Riemann surfaces, and supermoduli space. Zbl 0825.32001D’Hoker, E.; Phong, D. H. 7 1990 Conformal scalar fields and chiral splitting on super Riemann surfaces. Zbl 0698.58008D’Hoker, Eric; Phong, D. H. 28 1989 Functional determinants on Mandelstam diagrams. Zbl 0702.58014D’Hoker, Eric; Phong, D. H. 10 1989 Singular Radon transforms and oscillatory integrals. Zbl 0738.42011Phong, D. H.; Stein, Elias M. 9 1989 Geometry of quantum strings. Zbl 0662.53065D’Hoker, Eric; Phong, D. H. 1 1987 Hilbert integrals, singular integrals, and Radon transforms. I. Zbl 0622.42011Phong, D. H.; Stein, Elias M. 83 1986 On determinants of Laplacians on Riemann surfaces. Zbl 0599.30073D’Hoker, Eric; Phong, D. H. 73 1986 Hilbert integrals, singular integrals, and Radon transforms. II. Zbl 0656.42009Phong, D. H.; Stein, Elias M. 26 1986 Cohomologie de Dolbeault à croissance logarithmique à l’infini. (Dolbeault cohomology with logarithmic growth at infinity). Zbl 0597.32025Harris, Michael; Phong, D. H. 5 1986 Subelliptic eigenvalue problems. Zbl 0503.35071Fefferman, C.; Phong, D. H. 58 1983 ...and 10 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,062 Authors 43 Phong, Duong Hong 31 D’Hoker, Eric 19 Greenblatt, Michael 19 Stein, Elias Menachem 17 Tosatti, Valentino 15 Song, Jian 15 Weinkove, Ben 14 Pan, Yibiao 12 Chen, Xiuxiong 11 Darvas, Tamás 11 Seeger, Andreas 11 Székelyhidi, Gábor 10 Berman, Robert J. 10 Gressman, Philip T. 10 Schlotterer, Oliver 10 Zhang, Xiangwen 9 Collins, Tristan Clifford 9 Greenleaf, Allan 9 Müller, Detlef 9 Picard, Sebastien 9 Sen, Ashoke Kumar 8 Basu, Anirban 8 Green, Michael B. 8 Mafra, Carlos R. 8 Pramanik, Malabika 8 Wainger, Stephen 7 Christ, Michael 7 Franchi, Bruno 7 Krichever, Igor’ Moiseevich 7 McNeal, Jeffery D. 7 Nourrigat, Jean Francois 7 Ricci, Fulvio 7 Tian, Gang 7 Yan, Dunyan 7 Zhang, Xi 6 Ascanelli, Alessia 6 Boucksom, Sébastien 6 Chang, Der-Chen E. 6 Chu, Jianchun 6 He, Weiyong 6 Klevtsov, Semyon 6 Liu, Jiawei 6 Mughetti, Marco 6 Nguyen Minh Chuong 6 Phạm Hoàng Hiệp 6 Rubinstein, Yanir A. 6 Ruzhansky, Michael V. 6 Wang, Bing 6 Zelditch, Steve 6 Zhu, Xiaohua 5 Åhag, Per 5 Billó, Marco 5 Choi, Junesang 5 Comech, Andrew 5 Fan, Dashan 5 Guan, Bo 5 Guedj, Vincent 5 Iosevich, Alex 5 Kamimoto, Joe 5 Krantz, Steven George 5 Li, Chi 5 Matone, Marco 5 Mironov, Andrei D. 5 Montanari, Annamaria 5 Range, R. Michael 5 Ruiz, Alberto 5 Shi, Zuoshunhua 5 Sogge, Christopher D. 5 Stanton, Nancy K. 5 Sugawara, Yuji 5 Volpato, Roberto 5 Wright, James Robert 5 Yang, Chan Woo 5 Yu, Haixia 5 Zeriahi, Ahmed 5 Zeytuncu, Yunus Ergýn 5 Zhang, Shuo 4 Ashok, Sujay K. 4 Boiti, Chiara 4 Bossard, Guillaume 4 Brandolini, Luca 4 Cacciatori, Sergio Luigi 4 Carbery, Anthony 4 Czyż, Rafał 4 Di Nezza, Eleonora 4 Edholm, Luke D. 4 Fefferman, Charles Louis 4 Frau, Marialuisa 4 Grosche, Christian 4 Grushevsky, Samuel 4 Guan, Pengfei 4 Guo, Bin 4 Hou, Boyu 4 Ikromov, Isroil A. 4 Jonsson, Mattias 4 Kokotov, Aleksey 4 Lanzani, Loredana 4 Lerda, Alberto 4 Li, Chang 4 Li, Haozhao ...and 962 more Authors all top 5 Cited in 190 Serials 106 Journal of High Energy Physics 60 Nuclear Physics. 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Mathematical Sciences 2 Journal of Mathematical Sciences (New York) 2 Bulletin des Sciences Mathématiques 2 Doklady Mathematics 2 Positivity ...and 90 more Serials all top 5 Cited in 50 Fields 323 Several complex variables and analytic spaces (32-XX) 270 Partial differential equations (35-XX) 262 Quantum theory (81-XX) 260 Differential geometry (53-XX) 195 Harmonic analysis on Euclidean spaces (42-XX) 152 Algebraic geometry (14-XX) 150 Global analysis, analysis on manifolds (58-XX) 114 Operator theory (47-XX) 96 Relativity and gravitational theory (83-XX) 69 Number theory (11-XX) 57 Functional analysis (46-XX) 55 Dynamical systems and ergodic theory (37-XX) 44 Functions of a complex variable (30-XX) 39 Integral transforms, operational calculus (44-XX) 30 Abstract harmonic analysis (43-XX) 19 Real functions (26-XX) 19 Mechanics of particles and systems (70-XX) 18 Topological groups, Lie groups (22-XX) 17 Nonassociative rings and algebras (17-XX) 16 Numerical analysis (65-XX) 13 Manifolds and cell complexes (57-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Special functions (33-XX) 10 Measure and integration (28-XX) 9 Potential theory (31-XX) 9 Ordinary differential equations (34-XX) 9 Probability theory and stochastic processes (60-XX) 7 Group theory and generalizations (20-XX) 7 Fluid mechanics (76-XX) 6 Combinatorics (05-XX) 6 Convex and discrete geometry (52-XX) 5 Approximations and expansions (41-XX) 4 Integral equations (45-XX) 4 Algebraic topology (55-XX) 3 General and overarching topics; collections (00-XX) 3 Associative rings and algebras (16-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistics (62-XX) 3 Mechanics of deformable solids (74-XX) 2 Commutative algebra (13-XX) 2 General topology (54-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Difference and functional equations (39-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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