Duong Hong Phong | Academic Influence

Duong Hong Phong's AcademicInfluence.com Rankings

Duong Hong Phong

Mathematics

#2940

World Rank

#4430

Historical Rank

Algebraic Geometry

#158

World Rank

#165

Historical Rank

Number Theory

#240

World Rank

#306

Historical Rank

Measure Theory

#2029

World Rank

#2460

Historical Rank

mathematics Degrees

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Mathematics

Duong Hong Phong's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Duong Hong Phong Influential?

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According to Wikipedia, Duong Hong Phong 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.

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Duong Hong Phong's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The Geometry of String Perturbation Theory (1988) (599)
Hilbert integrals, singular integrals, and Radon transforms I (1986) (204)
Multiloop amplitudes for the bosonic Polyakov string (1986) (201)
On determinants of Laplacians on Riemann surfaces (1986) (193)
Two-loop superstrings VI Nonrenormalization theorems and the 4-point function ☆ (2005) (175)
Two-loop superstrings.: I. Main formulas (2001) (157)
Estimates for the Bergman and Szegö projections on strongly pseudo-convex domains (1977) (157)
The Newton polyhedron and oscillatory integral operators (1997) (155)
Lectures on Stability and Constant Scalar Curvature (2008) (145)
Advanced series in mathematical physics (1987) (139)
On the integrable geometry of soliton equations and $N=2$ supersymmetric gauge theories (1996) (136)
On stability and the convergence of the Kähler-Ricci flow (2006) (134)
Multiplier Ideal Sheaves and the K\"ahler-Ricci Flow (2006) (133)
Two-loop superstrings IV: The cosmological constant and modular forms (2001) (129)
Calogero-Moser systems in SU(N) Seiberg-Witten theory (1997) (127)
Lectures on supersymmetric Yang-Mills theory and integrable systems (1999) (126)
Two-loop superstrings and S-duality (2005) (125)
The effective prepotential of N = 2 supersymmetric SU(Nc) gauge theories☆ (1996) (123)
Two-loop superstrings II. The chiral measure on moduli space (2001) (117)
The Monge-Ampère operator and geodesics in the space of Kähler potentials (2005) (116)
Models of degenerate Fourier integral operators and Radon transforms (1994) (112)
On positivity of pseudo-differential operators. (1978) (110)
The Dirichlet problem for degenerate complex Monge-Ampere equations (2009) (107)
Two-loop superstrings III: Slice independence and absence of ambiguities (2001) (106)
Lectures on two loop superstrings (2002) (106)
Calogero-Moser Lax pairs with spectral parameter for general Lie algebras (1998) (104)
On the growth and stability of real-analytic functions (1999) (98)
Test configurations for K-stability and geodesic rays (2006) (97)
Radon transforms and torsion (1991) (97)
Loop amplitudes for the fermionic string (1986) (95)
The uncertainty principle and sharp gårding inequalities (1981) (92)
Stability, energy functionals, and Kahler-Einstein metrics (2002) (91)
Conformal scalar fields and chiral splitting on super Riemann surfaces (1989) (89)
Seiberg-Witten Theory and Integrable Systems (1999) (87)
The Moser-Trudinger inequality on Kähler-Einstein manifolds (2006) (87)
Algebraic estimates, stability of local zeta functions, and uniform estimates for distribution functions (2000) (86)
Complex Monge Ampere Equations (2012) (82)
The Fu–Yau equation with negative slope parameter (2016) (82)
Geometric flows and Strominger systems (2015) (79)
Two-loop superstrings V Gauge slice independence of the N-point function (2005) (77)
The Kähler–Ricci flow with positive bisectional curvature (2007) (71)
The renormalization group equation in N = 2 supersymmetric gauge theories (1996) (70)
The effective prepotential of N = 2 supersymmetric SO(Nc) and Sp(Nc) gauge theories☆ (1996) (69)
Multilinear level set operators, oscillatory integral operators, and Newton polyhedra (2001) (68)
The Box graph in superstring theory (1994) (66)
On estimates for the Fu–Yau generalization of a Strominger system (2015) (59)
Scalar curvature, moment maps, and the Deligne pairing (2002) (58)
DELIGNE PAIRINGS AND THE KNUDSEN-MUMFORD EXPANSION (2006) (58)
Oscillatory integrals with polynomial phases (1992) (58)
Unitarity of closed superstring perturbation theory (1990) (57)
Asyzygies, modular forms, and the superstring measure II (2004) (55)
Anomaly flows. (2016) (54)
The Anomaly Flow and the Fu-Yau Equation (2016) (53)
Hilbert integrals, singular integrals, and Radon transforms II (1986) (52)
Superholomorphic anomalies and supermoduli space (1987) (52)
The Kähler-Ricci flow and the [symbol] operator on vector fields (2009) (51)
Some Further Classes of Pseudo-Differential and Singular-Integral Operators Arising in Boundary-Value Problems I Composition of Operators (1982) (49)
A second order estimate for general complex Hessian equations (2015) (49)
On the construction of asymmetric orbifold models (2004) (47)
Spectral curves for super-Yang-Mills with adjoint hypermultiplet for general simple Lie algebras☆ (1998) (47)
Calogero-Moser and Toda systems for twisted and untwisted affine Lie algebras (1998) (44)
Regularity of geodesic rays and Monge-Ampère equations (2009) (41)
Strong coupling expansions of SU(N) Seiberg-Witten theory☆ (1997) (40)
Singular integrals related to the Radon transform and boundary value problems. (1983) (38)
On the convergence of the modified Kähler–Ricci flow and solitons (2011) (37)
Two loop superstrings on orbifold compactifications (2003) (36)
Functional determinants on Mandelstam diagrams (1989) (35)
Fu–Yau Hessian equations (2018) (34)
Two-Loop Superstrings. VII. Cohomology of Chiral Amplitudes (2007) (33)
Damped Oscillatory Integral Operators with Analytic Phases (1998) (32)
Fully non-linear parabolic equations on compact Hermitian manifolds (2017) (31)
On integral representations for the Neumann operator. (1979) (30)
Degeneration of Kahler-Ricci solitons on Fano manifolds (2012) (29)
On the K\"ahler-Ricci flow on complex surfaces (2004) (28)
Two-loop superstrings III (2002) (28)
Advances in geometric analysis (2012) (27)
Mirror symmetry for hyper-Kähler manifolds (1998) (26)
New curvature flows in complex geometry (2018) (25)
Regularity of Fourier Integral Operators (1995) (25)
The Anomaly flow on unimodular Lie groups (2017) (24)
Dispersion relations in string theory (1994) (24)
A flow of conformally balanced metrics with Kähler fixed points (2018) (23)
On the singularities of the pluricomplex green's function (2012) (22)
On a stopping process for oscillatory integrals (1994) (21)
Seiberg-Witten Theory, Symplectic Forms, and Hamiltonian Theory of Solitons (2002) (20)
The Ricci flow on the sphere with marked points (2014) (20)
14. Singular Integrals and Fourier Integral Operators (1995) (20)
Lax pairs and spectral curves for Calogero-Moser and spin Calogero-Moser systems (1999) (20)
Two-loop vacuum energy for Calabi–Yau orbifold models ☆ (2013) (20)
Operator versions of the van der corput lemma and fourier integral operators (1994) (20)
Advances in deterministic and stochastic analysis (2007) (19)
Lower bounds for Schrödinger equations (1982) (18)
Singular Radon transforms and oscillatory integrals (1989) (18)
Geometric Partial Differential Equations from Unified String Theories (2019) (18)
Geometric flows for the Type IIA string (2020) (16)
The Futaki invariant and the Mabuchi energy of a complete intersection (2003) (16)
Unification of the K\"ahler-Ricci and Anomaly flows (2019) (16)
The modified K\"ahler-Ricci flow and solitons (2008) (15)
On a conjecture of Demailly and Kollár (2000) (15)
Seiberg-Witten theory and Calogero-Moser systems (1999) (15)
Spin Chain Models with Spectral Curves from M Theory (2000) (14)
Pseudo-locality for a coupled Ricci flow (2015) (14)
Compactified moduli spaces of pseudo-holomorphic curves (1998) (13)
Order Parameters, Free Fermions, and Conservation Laws for Calogero-Moser Systems (1998) (13)
An analytic discriminant for polarized algebraic 3 surfaces (1998) (13)
Estimates for a geometric flow for the Type IIB string (2020) (13)
Complex geometry and supergeometry (2005) (12)
Higher Order Deformations of Complex Structures (2015) (12)
The Kähler-Ricci flow and the $\bar\partial$ operator on vector fields (2007) (12)
Stability estimates for the complex Monge-Ampère and Hessian equations (2021) (12)
The Super Period Matrix with Ramond Punctures in the supergravity formulation (2015) (12)
On the asymptotic eigenvalue distribution of a pseudo-differential operator. (1980) (11)
Convergence of the conical Ricci flow on S2 to a soliton (2015) (10)
On the algebraic constructibility of varieties of integrable rational functions on ${\bf C}^n$ (2002) (9)
Local regularity of the complex monge-ampere equation (2013) (9)
On family rigidity theorems for Spin^{} manifolds (2003) (9)
On Pointwise Gradient Estimates for the Complex Monge-Ampere Equation (2009) (9)
On asymptotics for the Mabuchi energy functional (2003) (9)
Symplectic geometry and positivity of pseudo-differential operators. (1982) (9)
Partial Legendre transforms of non-linear equations (2010) (9)
Chapter Sixteen. On the Singularities of the Pluricomplex Green’s Function (2014) (8)
Mirror Symmetry IV (2003) (8)
A maximum rank problem for degenerate elliptic fully nonlinear equations (2010) (7)
Advances in Analysis: The Legacy of Elias M. Stein (2014) (7)
On the modulus of continuity of solutions to complex Monge-Amp\`ere equations (2021) (7)
Mirror Symmetry III (1998) (7)
Parabolic dimensional reductions of 11-dimensional supergravity (2018) (7)
A Geometric Construction of Solutions to 11D Supergravity (2018) (6)
SPIN CHAINS WITH TWISTED MONODROMY (2001) (6)
Connecting the web: A prognosis (1998) (6)
ON L ∞ ESTIMATES FOR FULLY NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS ON HERMITIAN MANIFOLDS 1 (2022) (5)
On the lowest eigenvalue of a pseudo-differential operator. (1979) (5)
On the regularity of geodesic rays associated to test configurations (2007) (4)
Monge-Ampère Equations, Geodesics and Geometric Invariant Theory (2005) (4)
On convergence criteria for the coupled flow of Li–Yuan–Zhang (2018) (4)
Black hole thermodynamics from calculations in strongly-coupled gauge theory (2003) (4)
Pseudo-differential operators with positive symbols (1981) (4)
Hardy spaces and boundary conditions from the Ising model (2012) (4)
The periodic and open Toda lattice (2003) (3)
Compactness of Kähler–Ricci solitons on Fano manifolds (2018) (3)
Uniform entropy and energy bounds for fully non-linear equations (2022) (3)
The Cosmological Constant and Modular Forms (2001) (3)
Aspects of quantum geometry (1998) (3)
Bochner–Kodaira Formulas and the Type IIA Flow (2020) (3)
Evidence for winding states in noncommutative quantum field theory (2003) (2)
A new gradient estimate for the complex Monge–Ampère equation (2021) (2)
MOMENT MAPS , AND THE DELIGNE PAIRING * (2003) (2)
Auxiliary Monge-Ampere equations in geometric analysis (2022) (2)
Lagrangian torus fibrations of Calabi-Yau hypersurfaces in toric varieties and SYZ mirror symmetry conjecture (2003) (2)
Spinor flows with flux, I: short-time existence and smoothing estimates (2021) (2)
Cohomological properties of ruled symplectic structures (2003) (2)
On Holder and L('P) Estimates for the Partial D-Bar Equation on Strongly Pseudo-convex Domains (1977) (2)
Correlation functions for orbifolds of the type (2003) (2)
Elliptic genera of singular varieties, orbifold elliptic genus and chiral de Rham complex (2003) (2)
GEOMETRY OF QUANTUM STRINGS (1987) (2)
On the Kähler–Ricci flow on Fano manifolds (2020) (1)
Kahler-Einstein Metrics and Eigenvalue Gaps (2020) (1)
Strong coupling singularities and non-abelian gauge symmetries in =2 string theory (1998) (1)
Relations among fixed point (1998) (1)
Stability of the Type IIA flow and its applications in symplectic geometry (2021) (1)
On $L^\infty$ estimates for Monge-Amp\`ere and Hessian equations on nef classes (2021) (0)
Green's functions and complex Monge-Amp\`ere equations (2022) (0)
Surveys in Differential Geometry XVII Complex Monge-Ampère Equations 1 (2012) (0)
The Anomaly Flow and the Fu-Yau Equation (2018) (0)
M-theory tested by =2 Seiberg-Witten theory (2003) (0)
Selected papers of Masatake Kuranishi (2013) (0)
On the correspondence between D-branes and stationary supergravity solutions of type II Calabi-Yau compactifications (2003) (0)
CHIRAL SUPERSTRING AMPLITUDES AND THE GSO PROJECTION (1989) (0)
D G ] 2 7 M ay 2 01 7 THE ANOMALY FLOW ON UNIMODULAR LIE GROUPS 1 (2017) (0)
An update on (small) quantum cohomology (1998) (0)
2 3 M ar 2 01 8 THE ANOMALY FLOW AND THE FU-YAU EQUATION 1 (2018) (0)
Holographic duals of 4D field theories (2003) (0)
D G ] 1 0 A pr 2 01 7 GEOMETRIC FLOWS AND STROMINGER SYSTEMS 1 (2018) (0)
On $L^\infty$ estimates for complex Monge-Amp\`ere equations (2021) (0)
D G ] 2 M ay 2 01 8 A FLOW OF CONFORMALLY BALANCED METRICS WITH KÄHLER FIXED POINTS 1 (2018) (0)
Exact integration methods for supersymmetric Yang-Mills theory (2003) (0)
Covariant functional quantizations of superstrings (1985) (0)
Parabolic flows in complex geometry (2014) (0)
Kähler-Einstein Metrics and Eigenvalue Gaps 1 (2020) (0)
Moduli space of stable maps (2003) (0)
The one-loop graviton scattering amplitude in string theory (1997) (0)
The Fusion Matrix and the Verlinde Loop Operators in Conformal Field Theory (1997) (0)
D G ] 1 O ct 2 01 2 COMPLEX MONGE-AMPÈRE EQUATIONS 1 (2014) (0)
Ample divisors, automorphic forms and Shafarevich’s conjecture (2003) (0)
D G ] 8 M ay 2 01 8 Compactness of Kähler-Ricci solitons on Fano manifolds 1 (2018) (0)
Complex Geometry and Supergeometry 1 (2005) (0)
Geometric flows and Strominger systems (2017) (0)
CalogerosMoser Systems and Super YangsMills with Adjoint Matter (2001) (0)
Nonabelian D-branes and noncommutative geometry (2003) (0)
Limiting properties of certain geometric flows in complex geometry (2012) (0)
On $L^\infty$ estimates for fully nonlinear partial differential equations (2022) (0)
Seiberg-Witten curves for elliptic models (2003) (0)
The discrete bound state spectrum of the rotating D0-brane system, and its decay by emission of Ramond-Ramond field radiation (2003) (0)
D G ] 9 J ul 2 01 8 NEW CURVATURE FLOWS IN COMPLEX GEOMETRY 1 (2018) (0)
Diameter estimates in K\"ahler geometry (2022) (0)
Symplectic geometric flows (2021) (0)
Remarks on (0,2) Calabi-Yau models (1998) (0)
Duality, Eisenstein series and exact thresholds (2003) (0)
D G ] 2 J un 2 01 8 PARABOLIC DIMENSIONAL REDUCTIONS OF 11 D SUPERGRAVITY 1 (2018) (0)
Estimates for a geometric flow for the Type IIB string (2021) (0)
Calogero–Moser Systems and Super Yang–Mills with Adjoint Matter (2001) (0)
Proceedings of the Conference on Strings, Duality, and Geometry Centre de Recherches Mathématiques of the Université de Montréal (CRM), March 2000 (2002) (0)
Proceedings of the Conference on Complex Geometry and Mirror Symmetry, Montréal, 1995 (1999) (0)
LOOP AMPLITUDES AND VERTEX OPERATORS IN BOSONIC AND FERMIONIC STRING THEORIES (1986) (0)
Phase-transitions and tensor dynamics in -theory (2003) (0)
A Geometric Construction of Solutions to 11D Supergravity (2019) (0)
On Hölder and L[p] estimates for the ∂[-] equation on strongly pseudo-convex domains (1977) (0)
On stability and the convergence of the K\"ahler-Ricci flow (2004) (0)
Spectral Lax pairs and Calogero-Moser systems (2003) (0)
A flow of conformally balanced metrics with Kähler fixed points (2019) (0)
Pseudo-differential operators with symbols admitting negative values (1981) (0)
Supersymmetric String Vacua with Torsion and Geometric Flows (2017) (0)
D G ] 1 4 M ay 2 01 9 UNIFICATION OF THE KÄHLER-RICCI AND ANOMALY FLOWS 1 (2019) (0)
On convergence criteria for the coupled flow of Li–Yuan–Zhang (2019) (0)
Sobolev norms of holomorphic sections and variations of the density of states (2008) (0)
Geometric flows from unified string theories (2023) (0)
Introduction to enumerative invariants (1998) (0)
Mirror symmetry: aspects of the first 10 years (2003) (0)
A note on the topology of the boundary in the AdS/CFT correspondence (2003) (0)
Hardy spaces and boundary conditions from the Ising model (2012) (0)
Masatake Kuranishi (1924–2021) (2022) (0)
Lower bounds for pseudo-differential operators (1982) (0)
On the scaling limit of a singular integral operator (2007) (0)
A maximum rank problem for degenerate elliptic fully nonlinear equations (2011) (0)
Parabolic flows in complex geometry (2014) (0)
The Fu–Yau equation with negative slope parameter (2016) (0)

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