Tobias Colding

6.8k total citations · 2 hit papers
72 papers, 3.3k citations indexed

About

Tobias Colding is a scholar working on Applied Mathematics, Geometry and Topology and Astronomy and Astrophysics. According to data from OpenAlex, Tobias Colding has authored 72 papers receiving a total of 3.3k indexed citations (citations by other indexed papers that have themselves been cited), including 65 papers in Applied Mathematics, 52 papers in Geometry and Topology and 18 papers in Astronomy and Astrophysics. Recurrent topics in Tobias Colding's work include Geometric Analysis and Curvature Flows (64 papers), Geometry and complex manifolds (40 papers) and Point processes and geometric inequalities (19 papers). Tobias Colding is often cited by papers focused on Geometric Analysis and Curvature Flows (64 papers), Geometry and complex manifolds (40 papers) and Point processes and geometric inequalities (19 papers). Tobias Colding collaborates with scholars based in United States, Switzerland and Denmark. Tobias Colding's co-authors include William P. Minicozzi, Jeff Cheeger, Aaron Naber, Gang Tian, Camillo De Lellis, Erik Helmer Pedersen, Nancy Hingston, Mingliang Cai, David Gabai and Bruce Kleiner and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Communications in Mathematical Physics and Annals of Mathematics.

In The Last Decade

Tobias Colding

70 papers receiving 2.9k citations

Hit Papers

On the structure of spaces with Ricci curvature bounded b... 1997 2026 2006 2016 1997 2012 100 200 300 400

Peers

Tobias Colding
Comparison fields: 5 of 61
  • Applied Mathematics 3.1k
  • Geometry and Topology 2.4k
  • Astronomy and Astrophysics 949
  • Mathematical Physics 483
  • Computational Theory and Mathematics 285
Replace William P. Minicozzi with:
William P. Minicozzi United States
David E. Blair United States
Harold Rosenberg France
William H. Meeks United States
Brian White United States
Franki Dillen Belgium
Masaaki Umehara Japan
Kotaro Yamada Japan
Leopold Verstraelen Belgium
Emmanuel Hebey France
William P. Minicozzi United States View profile →
Citations per field, relative to Tobias Colding
Tobias Colding · 1×
Citations per year, relative to Tobias Colding
Tobias Colding · 1×

Countries citing papers authored by Tobias Colding

Since Specialization
Citations

This map shows the geographic impact of Tobias Colding'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 Tobias Colding with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Tobias Colding more than expected).

Fields of papers citing papers by Tobias Colding

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Tobias Colding. 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 Tobias Colding. The network helps show where Tobias Colding may publish in the future.

Co-authorship network of co-authors of Tobias Colding

This figure shows the co-authorship network connecting the top 25 collaborators of Tobias Colding. A scholar is included among the top collaborators of Tobias Colding 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 Tobias Colding. Tobias Colding 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
# Work Indexed citations
1 0
2 1
3 1
4 2
5 4
6 6
7
Level set flow for motion by mean curvature
0
8 5
9 25
10 41
11 114
12 22
13 12
14 30
15 9
16 95
17
On the structure of spaces with Ricci curvature bounded below. I breakdown →
442
18 18
19 70
20
Almost rigidity of warped products and the structure of spaces with Ricci curvature bounded below
20

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.

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