Peter Topping

Peter Topping's AcademicInfluence.com Rankings

Peter Topping

Mathematics

#4521

World Rank

#6407

Historical Rank

Measure Theory

#3699

World Rank

#4364

Historical Rank

mathematics Degrees

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Mathematics

Why Is Peter Topping Influential?

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According to Wikipedia, Peter Topping is a British mathematician working in geometric analysis. He obtained his PhD in 1997 at the University of Warwick under the supervision of Mario Joseph Micallef. He is currently Professor at the University of Warwick.

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Peter Topping'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

Lectures on the Ricci Flow (2006) (319)
On type-I singularities in Ricci flow (2010) (140)
Ricci flow, entropy and optimal transportation (2010) (112)
Existence of Ricci Flows of Incomplete Surfaces (2010) (95)
MEAN CURVATURE FLOW AND GEOMETRIC INEQUALITIES (1998) (81)
Ricci flow compactness via pseudolocality, and flows with incomplete initial metrics (2010) (76)
Relating diameter and mean curvature for submanifolds of Euclidean space (2008) (72)
Reverse Bubbling and Nonuniqueness in the Harmonic Map Flow (2002) (67)
Rigidity in the harmonic map heat flow (1997) (62)
Winding behaviour of finite-time singularities of the harmonic map heat flow* (2004) (54)
Repulsion and quantization in almost-harmonic maps, and asymptotics of the harmonic map flow (2004) (54)
Local mollification of Riemannian metrics using Ricci flow, and Ricci limit spaces (2017) (51)
Almost-Schur lemma (2010) (51)
Towards the Willmore conjecture (2000) (50)
L-optimal transportation for Ricci flow (2007) (50)
Ricci flow of negatively curved incomplete surfaces (2009) (49)
Decay estimates for Rivière’s equation, with applications to regularity and compactness (2011) (48)
ℒ-optimal transportation for Ricci flow (2009) (43)
The optimal constant in Wente's $ L^\infty $ estimate (1997) (41)
Ricci flows with unbounded curvature (2011) (41)
Local monotonicity and mean value formulas for evolving Riemannian manifolds (2006) (39)
Uniqueness of instantaneously complete Ricci flows (2013) (35)
Uniqueness and nonuniqueness for Ricci flow on surfaces: Reverse cusp singularities (2010) (34)
Diameter control under Ricci flow (2005) (34)
Local control on the geometry in 3D Ricci flow (2016) (31)
Flowing maps to minimal surfaces (2012) (31)
Asymptotics of the Teichm\"uller harmonic map flow (2012) (29)
Teichm\"uller harmonic map flow into nonpositively curved targets (2014) (24)
The harmonic map heat flow from surfaces (1996) (23)
The canonical expanding soliton and Harnack inequalities for Ricci flow (2009) (18)
Remarks on Hamilton's Compactness Theorem for Ricci flow (2011) (16)
Managerial Leadership (2001) (16)
The isoperimetric inequality on a surface (1999) (16)
A uniform Poincaré estimate for quadratic differentials on closed surfaces (2012) (14)
Ricci flows with bursts of unbounded curvature (2013) (14)
Global Regularity of Three-Dimensional Ricci Limit Spaces (2018) (13)
Bouncing of charged droplets: An explanation using mean curvature flow (2013) (13)
Horizontal curves of hyperbolic metrics (2016) (13)
Refined asymptotics of the Teichmüller harmonic map flow into general targets (2015) (12)
Global weak solutions of the Teichmüller harmonic map flow into general targets (2017) (10)
The canonical shrinking soliton associated to a Ricci flow (2008) (10)
Pyramid Ricci flow in higher dimensions (2019) (10)
An Example of a Nontrivial Bubble Tree in the Harmonic Map Heat Flow ∗ (2000) (9)
Sharp Decay Estimates for the Logarithmic Fast Diffusion Equation and the Ricci Flow on Surfaces (2015) (9)
A rigidity estimate for maps from $S^2$ to $S^2$ via the harmonic map flow. (2020) (9)
An approach to the Willmore conjecture (2001) (5)
A ‘new’ signal station in Cumbria (1987) (5)
Metric limits of manifolds with positive scalar curvature (2022) (5)
Bubbling of Almost-harmonic Maps between 2-spheres at Points of Zero Energy Density (2004) (5)
Reverse bubbling in geometric flows (2010) (5)
The Geometry of Differential Harnack Estimates (2013) (5)
Smoothing a measure on a Riemann surface using Ricci flow (2021) (5)
Three-manifolds with non-negatively pinched Ricci curvature (2022) (5)
Ricci flow: the foundations via optimal transportation (2014) (5)
Rate of curvature decay for the contracting cusp Ricci flow (2016) (4)
Ricci Flow and Ricci Limit Spaces (2019) (3)
Applications of Hamilton’s compactness theorem for Ricci flow (2016) (3)
Lectures on the Ricci Flow: Introduction (2006) (3)
Time Zero Regularity of Ricci Flow (2022) (3)
Math on the web: A status report september (2003) (2)
Loss of Initial Data Under Limits of Ricci Flows (2019) (2)
Nontrivial breathers for Ricci flow (2021) (2)
The Optimal Constant in Wente ' s L 1 EstimatePeter ToppingAbstractWe explore some geometric aspects of compensation compactness associated to Jacobiandeterminants (2007) (2)
Improved regularity of harmonic map flows with Hölder continuous energy (2004) (2)
Pressure estimates in two dimensional incompressible fluid flow (2000) (1)
A rigidity estimate for maps from S2$S^2$ to S2$S^2$ via the harmonic map flow (2022) (1)
Automotive Keypad in a Distributed LIN Network (2003) (1)
Manifolds with PIC1 pinched curvature (2022) (1)
The canonical shrinking soliton associated to a Ricci flow (2011) (1)
Ricci flow as a gradient flow (2006) (1)
Ricci flows with unbounded curvature (2012) (1)
Geometric Analysis (2020) (1)
ows with unbounded curvature (2014) (1)
Abstracts of selected publications (2004) (0)
Riemannian geometry background (2006) (0)
Curvature pinching and preserved curvature properties under Ricci flow (2006) (0)
Lectures on the Ricci Flow: References (2006) (0)
Partial Differential Equations (2018) (0)
PROGRAMMING THE EEPROM HC11 (1999) (0)
Sharp Decay Estimates for the Logarithmic Fast Diffusion Equation and the Ricci Flow on Surfaces (2017) (0)
Teichmharmonic map flow (2012) (0)
A uniform Poincaré estimate for quadratic differentials on closed surfaces (2014) (0)
QUADRATIC DIFFERENTIALS ON CLOSED SURFACES (2012) (0)
Pyramid Ricci flow in higher dimensions (2020) (0)
Lectures on the Ricci Flow: Perelman's W entropy functional (2006) (0)
Refined asymptotics of the Teichmüller harmonic map flow into general targets (2016) (0)
Uniqueness and nonuniqueness of limits of Teichmüller harmonic map flow (2019) (0)
LW OFF-AIR REFERENCE CLOCK (1999) (0)
Comments on existence theory for parabolic PDE (2006) (0)
Lectures on the Ricci Flow: The maximum principle (2006) (0)
The optimal constant in Wente ’ s L ∞ estimate (1997) (0)
Horizontal curves of hyperbolic metrics (2018) (0)
M ay 2 01 2 Flowing maps to minimal surfaces (2012) (0)
Almost-Schur lemma (2011) (0)
Three–manifolds with positive Ricci curvature, and beyond (2006) (0)
1 7 Se p 20 12 asymptotics of the Teichmüller harmonic map flow (2012) (0)
Lectures on the Ricci Flow: Compactness of Riemannian manifolds and flows (2006) (0)
Existence theory for the Ricci flow (2006) (0)
Calculus of Variations Ricci flow of negatively curved incomplete surfaces (2010) (0)
Lectures on the Ricci Flow: Preface (2006) (0)
Pressure Estimates in Two Dimensional Incompressible Uid Ow (2007) (0)

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Other Resources About Peter Topping

en.wikipedia.org

What Schools Are Affiliated With Peter Topping?

Peter Topping is affiliated with the following schools:

University of Warwick