William P. Minicozzi

3.8k citations
59 papers · 1.6k indexed · 1 hit paper · h-index 23

William P. Minicozzi

55 papers receiving 1.5k citations

Hit Papers

Generic mean curvature flow I; generic singularities2012202620162021201250100150200

Peers

William P. Minicozzi
Comparison fields: 5 of 57
  • Applied Mathematics 1.5k
  • Geometry and Topology 1.1k
  • Mathematical Physics 325
  • Astronomy and Astrophysics 260
  • Computational Theory and Mathematics 191
Replace Harold Rosenberg with:
Harold Rosenberg France
Brian White United States
Tobias Colding United States
Marc Troyanov Switzerland
Masaaki Umehara Japan
Nicholas J. Korevaar United States
Manuel Ritoré Spain
Kotaro Yamada Japan
Francesco Maggi Italy
Brad Osgood United States
William P. Minicozzi relative to Harold Rosenberg France Harold Rosenberg's profile →
Citations per field
00.5×4.9×
Harold Rosenberg · 1×
Citations per year

Countries citing papers authored by William P. Minicozzi

Since Specialization
Citations

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

Fields of papers citing papers by William P. Minicozzi

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by William P. Minicozzi. 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 William P. Minicozzi. The network helps show where William P. Minicozzi may publish in the future.

Co-authorship network of co-authors of William P. Minicozzi

This figure shows the co-authorship network connecting the top 25 collaborators of William P. Minicozzi. A scholar is included among the top collaborators of William P. Minicozzi 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 William P. Minicozzi. William P. Minicozzi 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
#WorkIndexed citations
1 0
2 1
3 1
4 2
5 4
6 6
7
Level set flow for motion by mean curvature
0
8
THE SINGULAR SET OF MEAN CURVATURE FLOW WITH GENERIC SINGULARITIES
15
9 41
10 114
11
Surveys in geometric analysis and relativity
22
12 22
13 12
14 30
15 49
16 2
17 18
18 16
19 1
20 4

About William P. Minicozzi

William P. Minicozzi is a scholar working on Applied Mathematics, Geometry and Topology and Theoretical Computer Science, having authored 59 papers that have together received 1.6k indexed citations. Recurring topics across this work include Geometric Analysis and Curvature Flows (45 papers), Geometry and complex manifolds (25 papers) and Nonlinear Partial Differential Equations (13 papers). The work is most often cited by research in Applied Mathematics (1.5k citations), Geometry and Topology (1.1k citations) and Mathematical Physics (325 citations). William P. Minicozzi has collaborated with scholars based in United States, Switzerland and Denmark. Frequent co-authors include Tobias Colding, Jeff Cheeger, Erik Helmer Pedersen, Hubert L. Bray, Christopher D. Sogge, Camillo De Lellis, Dan F. Bradley, Christina Sormani, Shing‐Tung Yau and Michael Eichmair. Their work appears in journals such as Proceedings of the National Academy of Sciences, Journal of Computational Physics and Communications in Mathematical Physics.

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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