Christine Guenther

Christine Guenther's AcademicInfluence.com Rankings

Christine Guenther

Mathematics

#3104

World Rank

#4648

Historical Rank

Measure Theory

#3621

World Rank

#4273

Historical Rank

mathematics Degrees

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Mathematics

Christine Guenther's Degrees

PhD Mathematics Princeton University
Masters Mathematics Stanford University

Why Is Christine Guenther Influential?

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According to Wikipedia, Christine Guenther is an American mathematician known for her research on the differential geometry of manifolds, including the Ricci flow. She is a distinguished professor of mathematics at Pacific University.

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Christine Guenther'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 Ricci Flow: Techniques and Applications (2007) (557)
The Ricci Flow: Techniques and Applications: Part II: Analytic Aspects (2007) (156)
The Ricci Flow: Techniques and Applications: Part III: Geometric-Analytic Aspects (2010) (127)
Stability of the Ricci flow at Ricci-flat metrics (2002) (104)
The fundamental solution on manifolds with time-dependent metrics (2002) (86)
The Ricci Flow: Techniques and Applications: Part IV: Long-Time Solutions and Related Topics (2015) (63)
Linear stability of homogeneous Ricci solitons (2006) (32)
A geometric introduction to the two-loop renormalization group flow (2013) (27)
Stability of the (Two-Loop) Renormalization Group Flow for Nonlinear Sigma Models (2008) (24)
Second-Order Renormalization Group Flow of Three-Dimensional Homogeneous Geometries (2012) (22)
Hyperbolic geometry and 3-manifolds (2015) (19)
Short-time existence for the second order renormalization group flow in general dimensions (2014) (18)
Basic topology of 3-manifolds (2007) (14)
The Millennium Problems: The Seven Greatest Unsolved Mathematical Puzzles of Our Time (2003) (12)
Convergence Stability for Ricci Flow (2018) (12)
Extrinsic Geometric Flows (2020) (8)
Geometric-analytic aspects (2010) (6)
Scaling and Entropy for the RG-2 Flow (2018) (4)
Second Order Renormalization Group Flow (2020) (2)
Energy, monotonicity, and breathers (2007) (1)
Long-time solutions and related topics (2015) (1)
Wellposedness of nonlinear flows on manifolds of bounded geometry (2022) (1)
Implicit function theorem (2015) (1)
Linear stability of Ricci nilsolitons (2006) (0)
Compact 2-dimensional ancient solutions (2015) (0)
Entropy, -invariant, and finite time singularities (2010) (0)
Nonsingular solutions on closed 3-manifolds (2015) (0)
Noncompact gradient Ricci solitons (2015) (0)
A geometric introduction to the two-loop renormalization group flow (2013) (0)
Qualitative behavior of classes of solutions (2007) (0)
Closed manifolds with positive curvature (2007) (0)
Entropy and no local collapsing (2007) (0)
Perelman’s pseudolocality theorem (2010) (0)
The reduced distance (2007) (0)
Solutions to selected exercises (2006) (0)
Tools used in proof of pseudolocality (2010) (0)
Heat kernel for static metrics (2010) (0)
Proof of the compactness theorem (2007) (0)
Origami Mathematics (2019) (0)
Bounds for the heat kernel for evolving metrics (2010) (0)
Applications of the reduced distance (2007) (0)
Scaling and Entropy for the RG-2 Flow (2020) (0)
Sectoriality of the Laplacian on Asymptotically Hyperbolic Spaces (2021) (0)
Special ancient solutions (2015) (0)
Geometric tools and point picking methods (2010) (0)
Perelman’s differential Harnack estimate (2007) (0)
Estimates of the heat equation for evolving metrics (2010) (0)
Compactness of the space of -solutions (2010) (0)
Elementary aspects of metric geometry (2010) (0)
The compactness theorem for Ricci flow (2007) (0)
Kähler-Ricci flow and Kähler-Ricci solitons (2007) (0)
Type II singularities and degenerate neckpinches (2015) (0)
Heat kernel for evolving metrics (2010) (0)
Convex functions on Riemannian manifolds (2010) (0)
Convergence stability for Ricci flow on manifolds with bounded geometry (2023) (0)
Weak maximum principles for scalars, tensors, and systems (2007) (0)
Local derivative of curvature estimates (2007) (0)
Stability of Ricci flow (2015) (0)
Asymptotic cones and Sharafutdinov retraction (2010) (0)
Convergence Stability for Ricci Flow (2019) (0)
Differential Harnack estimates of LYH-type (2007) (0)
Type I singularities and ancient solutions (2015) (0)
2 N ov 2 00 6 LINEAR STABILITY OF HOMOGENEOUS RICCI SOLITONS (2018) (0)
Weak and strong maximum principles on noncompact manifolds (2007) (0)
Noncompact hyperbolic limits (2015) (0)
Constant mean curvature surfaces and harmonic maps by IFT (2015) (0)
Geometric properties of -solutions (2010) (0)

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Christine Guenther's Academic­Influence.com Rankings