Gerhard Huisken

6.7k total citations · 2 hit papers
42 papers, 3.3k citations indexed

About

Gerhard Huisken is a scholar working on Applied Mathematics, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Gerhard Huisken has authored 42 papers receiving a total of 3.3k indexed citations (citations by other indexed papers that have themselves been cited), including 33 papers in Applied Mathematics, 22 papers in Geometry and Topology and 12 papers in Computational Theory and Mathematics. Recurrent topics in Gerhard Huisken's work include Geometric Analysis and Curvature Flows (31 papers), Geometry and complex manifolds (17 papers) and Point processes and geometric inequalities (13 papers). Gerhard Huisken is often cited by papers focused on Geometric Analysis and Curvature Flows (31 papers), Geometry and complex manifolds (17 papers) and Point processes and geometric inequalities (13 papers). Gerhard Huisken collaborates with scholars based in Germany, Australia and United States. Gerhard Huisken's co-authors include Klaus Ecker, Tom Ilmanen, Carlo Sinestrari, Shing‐Tung Yau, Simon Brendle, Ulrich Dierkes, Stefan Müller, Klaus Steffen, Fabrice Béthuel and Joakim Arnlind and has published in prestigious journals such as Communications in Mathematical Physics, Annals of Mathematics and Lecture notes in mathematics.

In The Last Decade

Gerhard Huisken

41 papers receiving 2.9k citations

Hit Papers

Flow by mean curvature of convex surfaces into spheres 1984 2026 1998 2012 1984 1990 200 400 600
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Flow by mean curvature of convex surfaces into spheres
    1984 626 citations Gerhard Huisken Journal of Differential Geometry profile →
  2. Asymptotic behavior for singularities of the mean curvature flow
    1990 445 citations Gerhard Huisken Journal of Differential Geometry profile →

Peers

Gerhard Huisken
Leon Simon United States
Gang Tian United States
Detlef Gromoll United States
Arthur L. Besse United States
Joel Langer United States
Shing-Tung Yau United States
Antonio R�os Spain
Michael E. Gage United States
Emmanuel Hebey France
Lipman Bers United States
Leon Simon United States
Gerhard Huisken
Citations per year, relative to Gerhard Huisken Gerhard Huisken (= 1×) peers Leon Simon

Countries citing papers authored by Gerhard Huisken

Since Specialization
Citations

This map shows the geographic impact of Gerhard Huisken's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Gerhard Huisken with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Gerhard Huisken more than expected).

Fields of papers citing papers by Gerhard Huisken

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Gerhard Huisken. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Gerhard Huisken. The network helps show where Gerhard Huisken may publish in the future.

Co-authorship network of co-authors of Gerhard Huisken

This figure shows the co-authorship network connecting the top 25 collaborators of Gerhard Huisken. A scholar is included among the top collaborators of Gerhard Huisken based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Gerhard Huisken. Gerhard Huisken is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Huisken, Gerhard, et al.. (2024). Inverse mean curvature flow and Ricci-pinched three-manifolds. Journal für die reine und angewandte Mathematik (Crelles Journal). 1 indexed citations
2.
Dierkes, Ulrich & Gerhard Huisken. (2023). The n-dimensional analogue of a variational problem of Euler. Mathematische Annalen. 389(4). 3841–3863. 3 indexed citations
3.
Brendle, Simon & Gerhard Huisken. (2018). Mean curvature flow with surgery of mean convex surfaces in three-manifolds. Journal of the European Mathematical Society. 20(9). 2239–2257. 4 indexed citations
4.
Dziuk, Gerhard, Charles M. Elliott, Gerhard Huisken, & Ralf Kornhuber. (2012). Geometric Partial Differential Equations: Theory, Numerics and Applications. Oberwolfach Reports. 8(4). 3077–3144. 1 indexed citations
5.
Arnlind, Joakim & Gerhard Huisken. (2011). On the geometry of Kähler-Poisson structures. arXiv (Cornell University). 2 indexed citations
6.
Huisken, Gerhard & Carlo Sinestrari. (2008). Mean curvature flow with surgeries of two–convex hypersurfaces. Inventiones mathematicae. 175(1). 137–221. 74 indexed citations
7.
Huisken, Gerhard & Tom Ilmanen. (2002). ENERGY INEQUALITIES FOR ISOLATED SYSTEMS AND HYPERSURFACES MOVING BY THEIR CURVATURE. General Relativity and Gravitation. 162–173. 3 indexed citations
8.
Huisken, Gerhard & Carlo Sinestrari. (1999). Convexity estimates for mean curvature flow and singularities of mean convex surfaces. Acta Mathematica. 183(1). 45–70. 174 indexed citations
9.
Huisken, Gerhard & Wilhelm Klingenberg. (1999). Flow of real hypersurfaces by the trace of the Levi form. Mathematical Research Letters. 6(6). 645–661. 12 indexed citations
10.
Huisken, Gerhard & Tom Ilmanen. (1997). . International Mathematics Research Notices. 1997(20). 1045–1045. 50 indexed citations
11.
Huisken, Gerhard & Ulrich Dierkes. (1996). The n-dimensional analogue of the catenary: Prescribed area. Max Planck Digital Library. 1–12. 1 indexed citations
12.
Ecker, Klaus & Gerhard Huisken. (1991). Parabolic methods for the construction of spacelike slices of prescribed mean curvature in cosmological spacetimes. Communications in Mathematical Physics. 135(3). 595–613. 68 indexed citations
13.
Huisken, Gerhard, et al.. (1991). Workshop on theoretical and numerical aspects of geometric variational problems. Max Planck Digital Library. 1 indexed citations
14.
Ecker, Klaus & Gerhard Huisken. (1990). A Bernstein result for minimal graphs of controlled growth. Journal of Differential Geometry. 31(2). 32 indexed citations
15.
Huisken, Gerhard. (1989). Non-parametric mean curvature evolution with boundary conditions. Journal of Differential Equations. 77(2). 369–378. 102 indexed citations
16.
Ecker, Klaus & Gerhard Huisken. (1989). Interior curvature estimates for hypersurfaces of prescribed mean curvature. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 6(4). 251–260. 12 indexed citations
17.
Ecker, Klaus & Gerhard Huisken. (1989). Immersed hypersurfaces with constant Weingarten curvature. Mathematische Annalen. 283(2). 329–332. 28 indexed citations
18.
Huisken, Gerhard. (1987). The volume preserving mean curvature flow.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1987(382). 35–48. 142 indexed citations
19.
Huisken, Gerhard. (1985). Capillary surfaces over obstacles. Pacific Journal of Mathematics. 117(1). 121–141. 26 indexed citations
20.
Huisken, Gerhard. (1984). Capillary surfaces in negative gravitational fields. Mathematische Zeitschrift. 185(4). 449–464. 2 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Leon Simon Breakdown of academic impact, for papers by Gang Tian Breakdown of academic impact, for papers by Detlef Gromoll Breakdown of academic impact, for papers by Arthur L. Besse Breakdown of academic impact, for papers by Joel Langer Breakdown of academic impact, for papers by Shing-Tung Yau Breakdown of academic impact, for papers by Antonio R�os Breakdown of academic impact, for papers by Michael E. Gage Breakdown of academic impact, for papers by Emmanuel Hebey Breakdown of academic impact, for papers by Lipman Bers
Rankless by CCL
2026