H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 31 Citations 6,802 63 World Ranking 1935 National Ranking 831

Research.com Recognitions

Awards & Achievements

1996 - Royal Netherlands Academy of Arts and Sciences

1990 - Fellow of Alfred P. Sloan Foundation

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Geometry
  • Topology

Mathematical analysis, Curvature, Boundary value problem, Geometry and Partial differential equation are his primary areas of study. He studies Class which is a part of Mathematical analysis. Sigurd B. Angenent interconnects Initial value problem, Parabolic partial differential equation and The Intersect in the investigation of issues within Curvature.

His work in the fields of Robin boundary condition and Free boundary problem overlaps with other areas such as Laws of thermodynamics. His Geometry research is multidisciplinary, incorporating perspectives in Gravitational singularity and Displacement mapping. His study in Partial differential equation is interdisciplinary in nature, drawing from both Grayscale, Zero, Cero, Minification and Zero set.

His most cited work include:

  • The zero set of a solution of a parabolic equation (407 citations)
  • Membrane tension maintains cell polarity by confining signals to the leading edge during neutrophil migration (383 citations)
  • Conformal surface parameterization for texture mapping (322 citations)

What are the main themes of his work throughout his whole career to date?

His scientific interests lie mostly in Mathematical analysis, Pure mathematics, Gravitational singularity, Ricci flow and Mean curvature flow. In his study, Point is strongly linked to Curvature, which falls under the umbrella field of Mathematical analysis. His study in the field of Banach space, Compact space and Existence theorem also crosses realms of Morse code.

His studies deal with areas such as Flow, Equivariant map and Harmonic map as well as Gravitational singularity. His research investigates the connection between Mean curvature flow and topics such as Regular polygon that intersect with problems in Symmetry, Scaling and Uniqueness. His work carried out in the field of Free boundary problem brings together such families of science as Stefan problem and Linearization.

He most often published in these fields:

  • Mathematical analysis (60.47%)
  • Pure mathematics (23.26%)
  • Gravitational singularity (17.44%)

What were the highlights of his more recent work (between 2011-2020)?

  • Mathematical analysis (60.47%)
  • Pure mathematics (23.26%)
  • Ricci flow (15.12%)

In recent papers he was focusing on the following fields of study:

Sigurd B. Angenent mainly focuses on Mathematical analysis, Pure mathematics, Ricci flow, Regular polygon and Mean curvature flow. His Mathematical analysis research is multidisciplinary, relying on both Chain, Total curvature and Plane. His research investigates the link between Pure mathematics and topics such as Mathematical proof that cross with problems in Reaction–diffusion system, Partial differential equation and Distribution.

He focuses mostly in the field of Ricci flow, narrowing it down to topics relating to Gravitational singularity and, in certain cases, Integer and Rotational symmetry. He combines subjects such as Symmetry, Uniqueness, Scaling and Combinatorics with his study of Regular polygon. His Mean curvature flow research is within the category of Mean curvature.

Between 2011 and 2020, his most popular works were:

  • Membrane tension maintains cell polarity by confining signals to the leading edge during neutrophil migration (383 citations)
  • Uniqueness of two-convex closed ancient solutions to the mean curvature flow (30 citations)
  • Unique asymptotics of ancient convex mean curvature flow solutions (26 citations)

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Top Publications

The zero set of a solution of a parabolic equation

Sigurd Angenent.
Crelle's Journal (1988)

591 Citations

Multiphase thermomechanics with interfacial structure 2. Evolution of an isothermal interface

Sigurd Angenent;Sigurd Angenent;Morton E. Gurtin;Morton E. Gurtin.
Archive for Rational Mechanics and Analysis (1989)

466 Citations

One-parameter semigroups

Ph.P.J.E. Clément;H.J.A.M. Heijmans;S. Angenent;C.J. van Duijn.
CWI Monographs (1987)

460 Citations

Membrane tension maintains cell polarity by confining signals to the leading edge during neutrophil migration

Andrew R. Houk;Alexandra Jilkine;Cecile O. Mejean;Rostislav Boltyanskiy.
Cell (2012)

448 Citations

Conformal surface parameterization for texture mapping

S. Haker;S. Angenent;A. Tannenbaum;R. Kikinis.
IEEE Transactions on Visualization and Computer Graphics (2000)

447 Citations

Optimal Mass Transport for Registration and Warping

Steven Haker;Lei Zhu;Allen Tannenbaum;Sigurd Angenent.
International Journal of Computer Vision (2004)

387 Citations

On the Laplace-Beltrami operator and brain surface flattening

S. Angenent;S. Haker;A. Tannenbaum;R. Kikinis.
IEEE Transactions on Medical Imaging (1999)

282 Citations

Parabolic equations for curves on surfaces Part I. Curves with $p$-integrable curvature

Sigurd Angenent.
Annals of Mathematics (1990)

276 Citations

On the formation of singularities in the curve shortening flow

Sigurd Angenent.
Journal of Differential Geometry (1991)

275 Citations

On the spontaneous emergence of cell polarity

Steven J. Altschuler;Sigurd B. Angenent;Yanqin Wang;Lani F. Wu.
Nature (2008)

255 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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