Pengfei Guan | Academic Influence

Pengfei Guan's AcademicInfluence.com Rankings

Pengfei Guan

Mathematics

#3226

World Rank

#4813

Historical Rank

Algebraic Geometry

#229

World Rank

#240

Historical Rank

Geometry

#242

World Rank

#336

Historical Rank

Number Theory

#419

World Rank

#519

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Pengfei Guan's Degrees

PhD Mathematics Princeton University
Masters Mathematics Princeton University
Bachelors Mathematics Peking University

Similar Degrees You Can Earn

Best Online Bachelor's in Math 2025

Why Is Pengfei Guan Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Pengfei Guan is a Canadian mathematician and Canada Research Chair in Geometric Analysis. He is a professor of mathematics at McGill University and a Fellow of the Royal Society of Canada. Biography Guan graduated from the Department of Mathematics of Zhejiang University in Hangzhou. From 1982 to 1984, Guan was a graduate student at the Institute of Mathematics of the Chinese Academy of Sciences in Beijing. From 1984 to 1985, Guan studied at the University of North Carolina at Chapel Hill. Guan later continued his studies at Princeton University. Guan obtained his MS in 1986 and his PhD in 1989, both in mathematics from Princeton University.

(See a Problem?)

Pengfei Guan'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 Christoffel-Minkowski problem I: Convexity of solutions of a Hessian equation (2003) (212)
The quermassintegral inequalities for k-convex starshaped domains (2009) (161)
A fully nonlinear conformal flow on locally conformally flat manifolds (2001) (161)
Local estimates for a class of fully nonlinear equations arising from conformal geometry (2003) (139)
Convex hypersurfaces of prescribed curvature (2002) (134)
Some properties of the Schouten tensor and applications to conformal geometry (2002) (99)
On a Monge-Ampère equation arising in geometric optics (1998) (90)
A microscopic convexity principle for nonlinear partial differential equations (2008) (90)
A Mean Curvature Type Flow in Space Forms (2013) (88)
On the dirichlet problem for degenerate Monge-Ampère equations (1999) (81)
Entropy and a convergence theorem for Gauss curvature flow in high dimension (2013) (81)
Global C2‐Estimates for Convex Solutions of Curvature Equations (2013) (73)
Geometric inequalities on locally conformally flat manifolds (2003) (71)
The Weyl problem with nonnegative Gauss curvature (1994) (69)
Hypersurfaces of prescribed curvature measure (2011) (68)
Flow by powers of the Gauss curvature (2016) (67)
A constant rank theorem for solutions of fully nonlinear elliptic equations (2007) (65)
The Existence of Convex Body with Prescribed Curvature Measures (2009) (57)
The Christofel‐Minkowski problem III: Existence and convexity of admissible solutions (2006) (52)
$C_2$ a priori estimates for degenerate Monge-Ampère equations (1997) (51)
Application of the method of moving planes to conformally invariant equations (2004) (50)
The Christoffel-Minkowski Problem II: Weingarten Curvature Equations* (2006) (50)
The extremal function associated to intrinsic norms (2002) (47)
C1,1 estimates for solutions of a problem of Alexandrov (1997) (45)
Schouten tensor and some topological properties (2005) (43)
Regularity of the geodesic equation in the space of Sasakian metrics (2009) (37)
A volume preserving flow and the isoperimetric problem in warped product spaces (2016) (36)
A Constant Rank Theorem for Quasiconcave Solutions of Fully Nonlinear Partial Differential Equations (2011) (34)
Regularity of a Class of Quasilinear Degenerate Elliptic Equations (1997) (31)
A class of curvature type equations. (2019) (30)
A Form of Alexandrov-Fenchel Inequality (2010) (27)
Topics in Geometric Fully Nonlinear Equations (2004) (26)
A uniqueness theorem in Kähler geometry (2009) (26)
Curvature Measures, Isoperimetric Type Inequalities and Fully Nonlinear PDEs (2014) (24)
Interior C2 regularity of convex solutions to prescribing scalar curvature equations (2017) (23)
Regularity estimates for the oblique derivative problem (1993) (23)
$$L^p$$Lp Christoffel–Minkowski problem: the case $$1< p (2017) (22)
Curvature estimates for immersed hypersurfaces in Riemannian manifolds (2016) (22)
Convexity estimates for level sets of quasiconcave solutions to fully nonlinear elliptic equations (2010) (19)
$L^p$ Christoffel-Minkowski problem: the case $1< p (2017) (18)
A GEODESIC EQUATION IN THE SPACE OF SASAKIAN METRICS (2009) (17)
A Rigidity Theorem for Hypersurfaces in Higher Dimensional Space Forms (2013) (16)
Regularity of subelliptic Monge-Ampère equations in the plane (2009) (16)
Flow by the power of the Gauss curvature (2015) (14)
Remarks on the Homogeneous Complex Monge-Ampère Equation (2010) (13)
Hölder regularity of subelliptic pseudodifferential operators (1990) (13)
Conformal deformations of the smallest eigenvalue of the Ricci tensor (2005) (13)
A structural condition for microscopic convexity principle (2010) (12)
A proof of Alexandrov's uniqueness theorem for convex surfaces in R3 (2016) (11)
Convexity Preserving for Fully Nonlinear Parabolic Integro-Differential Equations (2008) (10)
A fully-nonlinear flow and quermassintegral inequalities in the sphere (2021) (9)
Convex solutions of fully nonlinear elliptic equations in classical differential geometry (2004) (9)
Partial Legendre transforms of non-linear equations (2010) (9)
LOCAL GRADIENT ESTIMATES FOR QUOTIENT EQUATIONS IN CONFORMAL GEOMETRY (2007) (8)
A maximum rank problem for degenerate elliptic fully nonlinear equations (2010) (7)
A rigidity theorem for codimension one shrinking gradient Ricci solitons in Rn+1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{d (2015) (5)
A PROOF OF THE ALEXANDEROV ’ S UNIQUENESS THEOREM FOR CONVEX SURFACES IN R (2014) (4)
Fully nonlinear PDEs in real and complex geometry and optics : Cetraro, Italy 2012 (2014) (4)
A class of curvature type equation (2021) (4)
A rigidity theorem for codimension one shrinking gradient Ricci solitons in $${\mathbb {R}}^{n+1}$$Rn+1 (2014) (4)
The quermassintegral inequalities for starshaped domains (2007) (2)
and applications to conformal geometry (2002) (1)
Corrigendum to “Convex hypersurfaces of prescribed curvature” (2003) (1)
Monge-Ampere Type Equations and Applications (2003) (1)
ESTIMATES FOR CONVEX SOLUTIONS OF CURVATURE EQUATIONS (2013) (1)
BIRS Workshop 16w5047 Geometric and Analytic Inequalities (2016) (0)
MONGE-AMPÈRE TYPE EQUATIONS AND RELATED GEOMETRIC PROBLEMS (2016) (0)
The Weyl and Minkowski Problems, Revisited (2017) (0)
A proof of the Alexanderov's uniqueness theorem for convex surfaces in $\mathbb R^3$ (2013) (0)
On a Hessian equation on Sn (2001) (0)
A weighted gradient estimate for solutions of $ L^p $ Christoffel-Minkowski problem (2022) (0)
Extremal function of intrinsic norms (2004) (0)
Pattern Recognition of Space Plasma Regimes (2013) (0)
The oblique derivative problem (1997) (0)
Curvature estimates for immersed hypersurfaces in Riemannian manifolds (2016) (0)
A link between mechanical heterogeneity and nontrivial local structural power-law response in a model metallic glass (2022) (0)
Functional Ferroic Materials, Films and Devices (2022) (0)
Adaptive Cross Entropy for ultrasmall object detection in Computed Tomography with noisy labels (2022) (0)
Positive \Gamma_{n/2}-curvature implies positive Ricci curvature (2002) (0)
A maximum rank problem for degenerate elliptic fully nonlinear equations (2011) (0)

This paper list is powered by the following services:

Other Resources About Pengfei Guan

en.wikipedia.org

What Schools Are Affiliated With Pengfei Guan?

Pengfei Guan is affiliated with the following schools: