Peter Gilkey
Impact in
- Mathematical Physics top 0.2%
- Advanced Operator Algebra Research
- Spectral Theory in Mathematical Physics
- Applied Mathematics top 0.2%
- Geometric Analysis and Curvature Flows
Papers in
-
- Geometric Analysis and Curvature Flows 132
-
- Spectral Theory in Mathematical Physics 45
- Advanced Operator Algebra Research 31
- Numerical methods in inverse problems 21
- Co-authors
- Tohru Eguchi (2 shared papers)Andrew J. Hanson (2 shared papers)Thomas Branson (13 shared papers)Stana Nikčević (33 shared papers)JeongHyeong Park (33 shared papers)Miguel Brozos‐Vázquez (26 shared papers)Eduardo García‐Río (24 shared papers)M. van den Berg (17 shared papers)
- Journals
- Results in Mathematics (9 papers)Transactions of the American Mathematical Society (9 papers)Advances in Mathematics (8 papers)Journal of Geometry and Physics (7 papers)Differential Geometry and its Applications (6 papers)
- Partner nations
- United StatesSpainSouth Korea
In The Last Decade
Peter Gilkey
218 papers receiving 4.6k citations
Peter Gilkey's Hit Papers
Peers
Comparison fields: 5 of 78
- Mathematical Physics 1.9k
- Applied Mathematics 2.0k
- Geometry and Topology 1.5k
- Nuclear and High Energy Physics 1.8k
- Astronomy and Astrophysics 1.7k
Countries citing papers authored by Peter Gilkey
This map shows the geographic impact of Peter Gilkey'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 Gilkey with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Peter Gilkey more than expected).
Fields of papers citing papers by Peter Gilkey
This network shows the impact of papers produced by Peter Gilkey. 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 Gilkey. The network helps show where Peter Gilkey may publish in the future.
Co-authors
The 25 scholars most cited alongside Peter Gilkey, 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 232 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Gravitation, gauge theories and differential geometry Hit paper breakdown → | 1980 | 1165 |
| 2 | Invariance theory, the heat equation, and the Atiyah-Singer index theorem Hit paper breakdown → | 1995 | 746 |
| 3 | The spectral geometry of a Riemannian manifold Hit paper breakdown → | 1975 | 487 |
| 4 | 1990 | 173 | |
| 5 | The index theorem and the heat equation | 1974 | 153 |
| 6 | 2003 | 89 | |
| 7 | 1973 | 86 | |
| 8 | Recursion relations and the asymptotic behavior of the eigenvalues of the laplacian | 1979 | 68 |
| 9 | 1975 | 66 | |
| 10 | 1983 | 59 | |
| 11 | 2009 | 57 | |
| 12 | 1994 | 56 | |
| 13 | 1995 | 55 | |
| 14 | 1988 | 47 | |
| 15 | 2001 | 46 | |
| 16 | 1997 | 43 | |
| 17 | 1981 | 42 | |
| 18 | 1992 | 42 | |
| 19 | 2001 | 40 | |
| 20 | 1980 | 40 |
About Peter Gilkey
Peter Gilkey is a scholar working on Applied Mathematics, Mathematical Physics, Geometry and Topology, Astronomy and Astrophysics and Computational Theory and Mathematics, having authored 232 papers that have together received 5.1k indexed citations. Recurring topics across this work include Geometric Analysis and Curvature Flows (132 papers), Geometry and complex manifolds (82 papers), Advanced Differential Geometry Research (69 papers), Spectral Theory in Mathematical Physics (45 papers), Advanced Mathematical Modeling in Engineering (35 papers), Advanced Operator Algebra Research (31 papers), Advanced Topics in Algebra (23 papers) and Numerical methods in inverse problems (21 papers). The work is most often cited by research in Mathematical Physics (1.9k citations), Applied Mathematics (2.0k citations), Geometry and Topology (1.5k citations), Nuclear and High Energy Physics (1.8k citations) and Astronomy and Astrophysics (1.7k citations). Peter Gilkey has collaborated with scholars based in United States, Spain and South Korea. Frequent co-authors include Tohru Eguchi, Andrew J. Hanson, Thomas Branson, Stana Nikčević, JeongHyeong Park, Miguel Brozos‐Vázquez, Eduardo García‐Río, M. van den Berg, Klaus Kirsten and Boris Botvinnik. Their work appears in journals such as Results in Mathematics, Transactions of the American Mathematical Society, Advances in Mathematics, Journal of Geometry and Physics and Differential Geometry and its Applications.
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.