Peter Petersen
Impact in
- Geometry and Topology top 0.5%
- Geometry and complex manifolds
- Geometric and Algebraic Topology
- Applied Mathematics top 0.2%
- Geometric Analysis and Curvature Flows
- Point processes and geometric inequalities
- Nonlinear Partial Differential Equations
Papers in
-
- Geometric Analysis and Curvature Flows 41
- Point processes and geometric inequalities 7
- Nonlinear Partial Differential Equations 3
-
- Geometry and complex manifolds 28
- Geometric and Algebraic Topology 10
- Co-authors
- William Wylie (10 shared papers)Karsten Grove (10 shared papers)Guofang Wei (3 shared papers)Shunhui Zhu (4 shared papers)Peter Perry (3 shared papers)Robert C. Brooks (1 shared paper)Robert Greene (1 shared paper)Terence Tao (1 shared paper)
- Journals
- Journal für die reine und angewandte Mathematik (Crelles Journal) (5 papers)Journal of Geometric Analysis (4 papers)Inventiones mathematicae (4 papers)Journal of American History (3 papers)Journal of the American Mathematical Society (2 papers)
- Partner nations
- United StatesGermanyAustria
In The Last Decade
Peter Petersen
62 papers receiving 1.6k citations
Peter Petersen's Hit Papers
Peers
Comparison fields: 5 of 89
- Geometry and Topology 1.3k
- Applied Mathematics 1.5k
- Astronomy and Astrophysics 763
- Mathematical Physics 322
- Computational Theory and Mathematics 130
Countries citing papers authored by Peter Petersen
This map shows the geographic impact of Peter Petersen'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 Peter Petersen with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Peter Petersen more than expected).
Fields of papers citing papers by Peter Petersen
This network shows the impact of papers produced by Peter Petersen. 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 Peter Petersen. The network helps show where Peter Petersen may publish in the future.
Co-authors
The 17 scholars most cited alongside Peter Petersen, 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 66 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Riemannian Geometry Hit paper breakdown → | 1998 | 565 |
| 2 | 2009 | 166 | |
| 3 | 1988 | 94 | |
| 4 | 1997 | 93 | |
| 5 | 1990 | 92 | |
| 6 | 2009 | 86 | |
| 7 | 2012 | 69 | |
| 8 | On the classification of gradient Ricci solitons | 2012 | 68 |
| 9 | 1991 | 57 | |
| 10 | 2000 | 52 | |
| 11 | 1998 | 42 | |
| 12 | 1993 | 39 | |
| 13 | 1999 | 37 | |
| 14 | 1990 | 27 | |
| 15 | 1992 | 25 | |
| 16 | 1994 | 23 | |
| 17 | 2020 | 20 | |
| 18 | 1989 | 18 | |
| 19 | 2003 | 15 | |
| 20 | 2009 | 15 |
About Peter Petersen
Peter Petersen is a scholar working on Applied Mathematics, Geometry and Topology, Astronomy and Astrophysics, Mathematical Physics and Algebra and Number Theory, having authored 66 papers that have together received 1.9k indexed citations. Recurring topics across this work include Geometric Analysis and Curvature Flows (41 papers), Geometry and complex manifolds (28 papers), Advanced Differential Geometry Research (22 papers), Geometric and Algebraic Topology (10 papers), Point processes and geometric inequalities (7 papers), Homotopy and Cohomology in Algebraic Topology (7 papers), Mathematical Dynamics and Fractals (4 papers) and Nonlinear Partial Differential Equations (3 papers). The work is most often cited by research in Geometry and Topology (1.3k citations), Applied Mathematics (1.5k citations), Astronomy and Astrophysics (763 citations), Mathematical Physics (322 citations) and Computational Theory and Mathematics (130 citations). Peter Petersen has collaborated with scholars based in United States, Germany and Austria. Frequent co-authors include William Wylie, Karsten Grove, Guofang Wei, Shunhui Zhu, Peter Perry, Robert C. Brooks, Robert Greene, Terence Tao, Michael Jablonski and Robert Brooks. Their work appears in journals such as Journal für die reine und angewandte Mathematik (Crelles Journal), Journal of Geometric Analysis, Inventiones mathematicae, Journal of American History and Journal of the American Mathematical Society.
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.