Dan Knopf
Impact in
- Geometry and Topology top 0.5%
- Geometry and complex manifolds
- Geometric and Algebraic Topology
- Algebraic Geometry and Number Theory
- Applied Mathematics top 0.5%
- Geometric Analysis and Curvature Flows
- Nonlinear Partial Differential Equations
Papers in
-
- Geometric Analysis and Curvature Flows 34
-
- Geometry and complex manifolds 25
- Geometric and Algebraic Topology 6
- Co-authors
- Bennett Chow (17 shared papers)Tom Ilmanen (2 shared papers)James A. Isenberg (17 shared papers)Sigurd Angenent (5 shared papers)Mikhail Feldman (1 shared paper)Christine Guenther (12 shared papers)Lei Ni (11 shared papers)Tom Ivey (11 shared papers)
- Journals
- Communications in Analysis and Geometry (5 papers)Journal für die reine und angewandte Mathematik (Crelles Journal) (3 papers)Journal of Geometric Analysis (2 papers)Proceedings of the American Mathematical Society (2 papers)Journal of Differential Geometry (2 papers)
- Partner nations
- United StatesTaiwanChina
In The Last Decade
Dan Knopf
36 papers receiving 1.1k citations
Dan Knopf's Hit Papers
Peers
Comparison fields: 5 of 36
- Geometry and Topology 951
- Applied Mathematics 1.1k
- Astronomy and Astrophysics 646
- Mathematical Physics 88
- Nuclear and High Energy Physics 77
Countries citing papers authored by Dan Knopf
This map shows the geographic impact of Dan Knopf'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 Dan Knopf with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Dan Knopf more than expected).
Fields of papers citing papers by Dan Knopf
This network shows the impact of papers produced by Dan Knopf. 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 Dan Knopf. The network helps show where Dan Knopf may publish in the future.
Co-authors
The 23 scholars most cited alongside Dan Knopf, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 40 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | The Ricci Flow: An Introduction Hit paper breakdown → | 2004 | 359 |
| 2 | 2007 | 153 | |
| 3 | 2003 | 144 | |
| 4 | 2007 | 93 | |
| 5 | 2010 | 56 | |
| 6 | 2004 | 46 | |
| 7 | 2002 | 44 | |
| 8 | 2001 | 29 | |
| 9 | 2007 | 24 | |
| 10 | 2009 | 16 | |
| 11 | 2002 | 15 | |
| 12 | 2013 | 15 | |
| 13 | 2012 | 13 | |
| 14 | 2000 | 12 | |
| 15 | 2008 | 12 | |
| 16 | 2003 | 11 | |
| 17 | 2008 | 11 | |
| 18 | 2022 | 10 | |
| 19 | 2009 | 8 | |
| 20 | 2018 | 8 |
About Dan Knopf
Dan Knopf is a scholar working on Applied Mathematics, Geometry and Topology, Astronomy and Astrophysics, Mathematical Physics and Computational Mechanics, having authored 40 papers that have together received 1.1k indexed citations. Recurring topics across this work include Geometric Analysis and Curvature Flows (34 papers), Geometry and complex manifolds (25 papers), Advanced Differential Geometry Research (21 papers), Geometric and Algebraic Topology (6 papers), Mathematical Dynamics and Fractals (4 papers), Cosmology and Gravitation Theories (4 papers), Fluid Dynamics and Turbulent Flows (3 papers) and Advanced Mathematical Modeling in Engineering (1 paper). The work is most often cited by research in Geometry and Topology (951 citations), Applied Mathematics (1.1k citations), Astronomy and Astrophysics (646 citations), Mathematical Physics (88 citations) and Nuclear and High Energy Physics (77 citations). Dan Knopf has collaborated with scholars based in United States, Taiwan and China. Frequent co-authors include Bennett Chow, Tom Ilmanen, James A. Isenberg, Sigurd Angenent, Mikhail Feldman, Christine Guenther, Lei Ni, Tom Ivey, David A. Glickenstein and Sun-Chin Chu. Their work appears in journals such as Communications in Analysis and Geometry, Journal für die reine und angewandte Mathematik (Crelles Journal), Journal of Geometric Analysis, Proceedings of the American Mathematical Society and Journal of Differential Geometry.
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.