Sigurd Angenent | Academic Influence

Sigurd Angenent's AcademicInfluence.com Rankings

Sigurd Angenent

Mathematics

#3000

World Rank

#4516

Historical Rank

Measure Theory

#1742

World Rank

#2139

Historical Rank

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Mathematics

Sigurd Angenent's Degrees

PhD Mathematics University of Amsterdam
Masters Mathematics University of Amsterdam
Bachelors Mathematics University of Amsterdam

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Why Is Sigurd Angenent Influential?

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According to Wikipedia, Sigurd Bernardus Angenent is a Dutch-born mathematician and professor at the University of Wisconsin–Madison. Angenent works on partial differential equations and dynamical systems, with his recent research focusing on heat equation and diffusion equation. The Angenent torus and Angenent ovals are special solutions to the mean curvature flow published by Angenent in 1992; the Angenent torus remains self-similar as it collapses to a point under the flow, and the Angenent ovals are the only compact convex ancient solutions other than circles for the curve-shortening flow.

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Sigurd Angenent'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

Membrane Tension Maintains Cell Polarity by Confining Signals to the Leading Edge during Neutrophil Migration (2012) (501)
The zero set of a solution of a parabolic equation. (1988) (497)
Optimal Mass Transport for Registration and Warping (2004) (399)
Conformal Surface Parameterization for Texture Mapping (2000) (394)
Multiphase thermomechanics with interfacial structure 2. Evolution of an isothermal interface (1989) (337)
On the Laplace-Beltrami operator and brain surface flattening (1999) (241)
On the formation of singularities in the curve shortening flow (1991) (236)
On the spontaneous emergence of cell polarity (2008) (234)
Parabolic equations for curves on surfaces Part II. Intersections, blow-up and generalized solutions (1991) (214)
Parabolic equations for curves on surfaces Part I. Curves with $p$-integrable curvature (1990) (208)
Nondistorting flattening maps and the 3-D visualization of colon CT images (2000) (198)
Nonlinear analytic semiflows (1990) (191)
Minimizing Flows for the Monge-Kantorovich Problem (2003) (176)
Mean curvature flow through singularities for surfaces of rotation (1991) (159)
The Morse-Smale property for a semi-linear parabolic equation (1986) (141)
Finsler Active Contours (2008) (128)
A Computed example of nonuniqueness of mean curvature flow in R3 (1995) (119)
Stable Transition Layers in a Semilinear Boundary Value Problem (1987) (116)
Degenerate neckpinches in mean curvature flow. (1997) (114)
An example of neckpinching for Ricci flow on $S^{n+1}$ (2004) (113)
MATHEMATICAL METHODS IN MEDICAL IMAGE PROCESSING. (2006) (111)
The dynamics of rotating waves in scalar reaction diffusion equations (1988) (84)
Asymptotic shape of cusp singularities in curve shortening (1995) (81)
On the affine heat equation for non-convex curves (1998) (77)
Conformal Geometry and Brain Flattening (1999) (71)
Monotone recurrence relations, their Birkhoff orbits and topological entropy (1990) (70)
Precise asymptotics of the Ricci flow neckpinch (2005) (68)
Unique asymptotics of ancient convex mean curvature flow solutions (2015) (64)
A superquadratic indefinite elliptic system and its Morse–Conley–Floer homology (1999) (63)
Uniqueness of the solution of a semilinear boundary value problem (1985) (62)
Analyticity of the interface of the porous media equation after the waiting time (1988) (61)
Uniqueness of two-convex closed ancient solutions to the mean curvature flow (2018) (60)
Local existence and regularity for a class of degenerate parabolic equations (1988) (57)
A Density-Dependent Switch Drives Stochastic Clustering and Polarization of Signaling Molecules (2011) (55)
The shadowing lemma for elliptic PDE (1987) (54)
The focusing problem for the radially symmetric porous medium equation (1995) (50)
The periodic orbits of an area preserving twist map (1988) (49)
Dynamic active contours for visual tracking (2006) (46)
Correction to "Nondistorting flattened maps and the 3-D visualization of colon CT images" (2000) (45)
A variational interpretation of Melnikov's function and exponentially small separatrix splitting (1994) (44)
Large Time Asymptotics for the Porous Media Equation (1988) (35)
Anisotropic motion of a phase interface. (1991) (34)
Curve shortening and the topology of closed geodesics on surfaces (2005) (34)
Non-distorting Flattening for Virtual Colonoscopy (2000) (31)
Minimally invasive surgery for Ricci flow singularities (2009) (31)
Degenerate neckpinches in Ricci flow (2012) (31)
Formal matched asymptotics for degenerate Ricci flow neckpinches (2010) (29)
A Remark on the Topological Entropy and Invariant Circles of an Area Preserving Twistmap (1992) (26)
Focusing of an elongated hole in porous medium flow (2001) (26)
Solutions of the One-Dimensional Porous Medium Equation are Determined by Their Free Boundary (1990) (26)
On Area Preserving Mappings of Minimal Distortion (2000) (25)
Renormalization study of two-dimensional convergent solutions of the porous medium equation (1999) (25)
A priori bounds and renormalized Morse indices of solutions of an elliptic system (2000) (22)
The Radius of Vanishing Bubbles in Equivariant Harmonic Map Flow from D2 to S2 (2009) (22)
Formal asymptotic expansions for symmetric ancient ovals in mean curvature flow (2013) (22)
24 – Advanced Nonrigid Registration Algorithms for Image Fusion (2002) (21)
Unique Asymptotics of Compact Ancient Solutions to Three‐Dimensional Ricci Flow (2019) (20)
Nodal Properties of Solutions of Parabolic Equations (1991) (17)
Inflection Points, Extatic Points and Curve Shortening (1999) (16)
Non-axial self-similar hole filling for the porous medium equation (2001) (15)
Intermediate asymptotics for convergent viscous gravity currents (1995) (15)
Noncircular converging flows in viscous gravity currents (1998) (12)
Singularities at t=∞ in equivariant harmonic map flow (2005) (11)
Self-similarity in the post-focussing regime in porous medium flows (1996) (11)
Ancient solutions to curve shortening with finite total curvature (2018) (11)
Self-intersecting geodesics and entropy of the geodesic flow (2008) (10)
General contact-angle conditions with and without kinetics (1996) (10)
Constructions with Analytic Semigroups and Abstract Exponential Decay Results for Eigenfunctions (1999) (9)
Contact and non-contact type Hamiltonian systems generated by second-order Lagrangians (2006) (9)
The zoo of solitons for curve shortening in (2013) (9)
The focusing problem for the Eikonal equation (2003) (7)
Ricci Solitons, Conical Singularities, and Nonuniqueness (2019) (6)
On the Computation of Optimal Transport Maps Using Gradient Flows and Multiresolution Analysis (2008) (6)
Generalized motion by mean curvature for surfaces of rotation (1991) (5)
The Painleve Test for Nonlinear Ordinary and Partial Differential Equations (1989) (4)
FATTENING FROM SMOOTH INITIAL DATA IN MEAN CURVATURE FLOW (2017) (4)
Curve Shortening and Interacting Particle Systems (2006) (4)
Unique asymptotics of ancient compact non-collapsed solutions to the 3-dimensional Ricci flow (2019) (3)
The dynamics of a degenerate reaction diffusion equation (1994) (3)
Conformal 3D visualization for virtual colonoscopy (2000) (2)
Nonconvex ancient solutions to Curve Shortening Flow (2022) (1)
Contact and noncontact type Hamiltonian systems generated by second order (2002) (1)
A multi-resolution approach for optimal mass transport (2007) (1)
Nonstandard existence proofs for reaction diffusion equations (2018) (0)
91-013 Anisotropic Motion of a Phase Interface (2015) (0)
Denial, acceptance, and loss of cell polarization for a stochastic model of positive feedback (2012) (0)
Type II smoothing in mean curvature flow (2021) (0)
SUPPLEMENTAL MATERIAL On the spontaneous emergence of cell polarity (2008) (0)
Commitment in the PINK1/Parkin mitophagy decision circuit (2022) (0)
Positive Feedback Is Sufficient to Trigger Spontaneous Spatial Localization of Signaling Systems in Cells (2007) (0)
Lectures on mean curvature flow (1993) (0)

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