Ben Andrews | Academic Influence

Ben Andrews 's AcademicInfluence.com Rankings

Ben Andrews

Mathematics

#4410

World Rank

#6271

Historical Rank

Measure Theory

#2939

World Rank

#3490

Historical Rank

mathematics Degrees

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Mathematics

Ben Andrews 's Degrees

Bachelors Mathematics University of Melbourne
PhD Mathematics University of Melbourne

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Why Is Ben Andrews Influential?

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According to Wikipedia, Ben Andrews is an Australian mathematician at the Australian National University. He is known for contributions to geometric analysis, with a majority of his work being in the field of extrinsic geometric flows. He received his Ph.D. from Australian National University in 1993, under the supervision of Gerhard Huisken. As of 2020, he has had nine Ph.D. students.

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Ben Andrews '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

Contraction of convex hypersurfaces in Euclidean space (1994) (314)
Convergence of the Iterates of Descent Methods for Analytic Cost Functions (2005) (287)
Gauss curvature flow: the fate of the rolling stones (1999) (272)
Evolving convex curves (1998) (197)
Contraction of convex hypersurfaces by their affine normal (1996) (164)
Motion of hypersurfaces by Gauss curvature (2000) (164)
Classification of limiting shapes for isotropic curve flows (2002) (161)
Pinching estimates and motion of hypersurfaces by curvature functions (2004) (148)
Proof of the fundamental gap conjecture (2010) (144)
Harnack inequalities for evolving hypersurfaces (1994) (125)
Noncollapsing in mean-convex mean curvature flow (2012) (119)
Volume-Preserving Anisotropic Mean Curvature Flow (2001) (111)
Mean curvature flow of Pinched submanifolds to spheres (2010) (104)
Contraction of convex hypersurfaces in Riemannian spaces (1994) (104)
The Ricci Flow in Riemannian Geometry (2011) (100)
Contracting convex hypersurfaces by curvature (2011) (92)
Convex hypersurfaces with pinched principal curvatures and flow of convex hypersurfaces by high powers of curvature (2009) (75)
Flow by powers of the Gauss curvature (2016) (67)
EMBEDDED CONSTANT MEAN CURVATURE TORI IN THE THREE-SPHERE (2012) (64)
Monotone quantities and unique limits for evolving convex hypersurfaces (1997) (63)
Eigenvalue Comparison on Bakry-Emery Manifolds (2011) (61)
Fully nonlinear parabolic equations in two space variables (2004) (60)
The affine curve-lengthening flow (1999) (59)
Moving surfaces by non-concave curvature functions (2004) (58)
Non-collapsing in fully non-linear curvature flows (2011) (56)
The Ricci Flow in Riemannian Geometry: A Complete Proof of the Differentiable 1/4-Pinching Sphere Theorem (2010) (52)
Curvature bound for curve shortening flow via distance comparison and a direct proof of Grayson's theorem (2009) (48)
Sharp modulus of continuity for parabolic equations on manifolds and lower bounds for the first eigenvalue (2012) (47)
Surfaces moving by powers of Gauss curvature (2011) (38)
Moduli of continuity, isoperimetric profiles, and multi-point estimates in geometric heat equations (2014) (36)
Time-interior gradient estimates for quasilinear parabolic equations (2013) (35)
F-stability for self-shrinking solutions to mean curvature flow (2012) (34)
Non-collapsing in mean-convex mean curvature flow (2011) (34)
Volume preserving flow and Alexandrov–Fenchel type inequalities in hyperbolic space (2018) (33)
Quermassintegral preserving curvature flow in Hyperbolic space (2017) (32)
Non-Convergence and instability in the asymptotic behaviour of curves evolving by curvature (2002) (30)
Singularities in crystalline curvature flows (2001) (29)
Positively Curved Surfaces in the Three-sphere (2003) (29)
Convexity estimates for hypersurfaces moving by convex curvature functions (2014) (29)
Entropy estimates for evolving hypersurfaces (1994) (21)
Notes on the isometric embedding problem and the Nash-Moser implicit function theorem (2002) (21)
Lipschitz bounds for solutions of quasilinear parabolic equations in one space variable (2009) (20)
All roads lead to Newton: Feasible second-order methods for equality-constrained optimization ∗ (2009) (19)
Volume preserving flow by powers of the $k$th mean curvature (2017) (19)
Four-manifolds with 1/4-pinched Flag Curvatures (2009) (16)
Convexity estimates for surfaces moving by curvature functions (2015) (16)
Harmonic mean curvature flow and geometric inequalities (2019) (16)
Flow by the power of the Gauss curvature (2015) (14)
A comparison theorem for the isoperimetric profile under curve-shortening flow (2011) (13)
Curvature bounds by isoperimetric comparison for normalized Ricci flow on the two-sphere (2009) (13)
Evolving convex hypersurfaces (1994) (12)
Nonlocal Geometric Expansion of Convex Planar Curves (2002) (12)
Curvature flow in hyperbolic spaces (2017) (12)
Two-sided non-collapsing curvature flows (2013) (11)
Non-collapsing for hypersurface flows in the sphere and hyperbolic space (2012) (10)
Gradient estimates via two-point functions for elliptic equations on manifolds (2018) (10)
Closed ideal planar curves (2018) (10)
Cylindrical estimates for hypersurfaces moving by convex curvature functions (2013) (9)
Gradient and oscillation estimates and their applications in geometric PDE (2012) (9)
The fundamental gap for a one-dimensional Schrödinger operator with Robin boundary conditions (2020) (8)
Extrinsic Geometric Flows (2020) (8)
Non-concavity of the Robin ground state (2020) (8)
Flow of hypersurfaces by curvature functions (1991) (6)
$\mathcal{F}$-stability for self-shrinking solutions to mean curvature flow (2012) (6)
Non-concavity of Robin eigenfunctions (2017) (5)
Shear-wave splitting analysis of downhole microseismic data for reservoir characterization of the Montney Formation, Pouce Coupe, Alberta (2016) (5)
Curvature contraction of convex hypersurfaces by nonsmooth speeds (2017) (4)
Petrology of Holocene Caldera-Forming Eruptions at Ksudach, Kamchatka (2003) (3)
Games, Strategies, and Boolean Formula Manipulation (2005) (3)
Contraction of convex surfaces by nonsmooth functions of curvature (2016) (3)
Expansion of co-compact convex spacelike hypersurfaces in Minkowski space by their curvature (2015) (3)
Long-term Magma Recharge Recorded in 87Sr/86Sr Zonation in Plagioclase Phenocrysts, El Chichon, Mexico (2005) (2)
Shear-wave splitting and attenuation analysis of downhole microseismic data for reservoir characterization of the Montney Formation, Pouce Coupe, Alberta (2016) (2)
The Compactness Theorem for Riemannian Manifolds (2011) (1)
The Final Argument (2011) (1)
Contracting convex hypersurfaces by curvature (2012) (0)
Do Free Agent Contracts for MLB Pitchers Create Moral Hazard (2017) (0)
Regularity and Long-Time Existence (2011) (0)
Quermassintegral preserving curvature flow in Hyperbolic space (2018) (0)
The Cone Construction of Böhm and Wilking (2011) (0)
Evolution of the Curvature (2011) (0)
Preserving Positive Isotropic Curvature (2011) (0)
Maximum curvature for curves in manifolds of sectional curvature at most zero or one (2019) (0)
The Weak Maximum Principle (2011) (0)
Short-Time Existence (2011) (0)
A Heat Flow for Diffeomorphisms of Flat Tori (2016) (0)
Multi-point Maximum Principles and Eigenvalue Estimates (2020) (0)
The $$\mathcal{F}$$-Functional and Gradient Flows (2011) (0)
Pacific Journal of Mathematics MOTION OF HYPERSURFACES BY GAUSS CURVATURE (2006) (0)
Nonlocal Geometric Expansion of Convex Planar Curves 1 (2002) (0)
Equations in Two Space Variables (2008) (0)
III · 1 – 3 Positively Curved Surfaces in the Three-sphere (2003) (0)
The\mathcal{W}-Functional and Local Noncollapsing (2011) (0)
Anisotropic curvature measures and volume preserving flows (2021) (0)
Eruption Dynamics and Conduit Processes of the Circa 240 A.D. KS1 Eruption of Ksudach Volcano, Kamchatka, Russia (2003) (0)
Fragility of nonconvergence in preferential attachment graphs with three types (2021) (0)
Turbulent dynamics and pyroclastic flow generation during the Mount St. Helens May 18th, 1980 eruption (2007) (0)
An Algebraic Identity for Curvature Operators (2011) (0)

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