Dan Burns
Impact in
- Geometry and Topology top 1%
- Geometry and complex manifolds
- Algebraic Geometry and Number Theory
- Analytic and geometric function theory
- Geometric and Algebraic Topology
- Applied Mathematics top 5%
- Holomorphic and Operator Theory
- Geometric Analysis and Curvature Flows
Papers in
-
- Geometry and complex manifolds 12
- Analytic and geometric function theory 5
- Geometric and Algebraic Topology 4
- Algebraic Geometry and Number Theory 3
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- Holomorphic and Operator Theory 6
- Geometric Analysis and Curvature Flows 3
- Co-authors
- Michael Rapoport (1 shared paper)Jonathan M. Wahl (1 shared paper)Steven Shnider (4 shared papers)Charles L. Epstein (2 shared papers)Paolo de Bartolomeis (1 shared paper)Klas Diederich (1 shared paper)Eric Bedford (2 shared papers)Erhard Seiler (1 shared paper)
- Journals
- Inventiones mathematicae (3 papers)Pure and Applied Mathematics Quarterly (2 papers)Mathematische Annalen (2 papers)Lecture notes in mathematics (2 papers)Annales Scientifiques de l École Normale Supérieure (1 paper)
- Partner nations
- United StatesCanadaGermany
In The Last Decade
Dan Burns
21 papers receiving 412 citations
Peers
Comparison fields: 5 of 11
- Geometry and Topology 471
- Applied Mathematics 94
- Astronomy and Astrophysics 53
- Mathematical Physics 17
- Nuclear and High Energy Physics 12
Countries citing papers authored by Dan Burns
This map shows the geographic impact of Dan Burns'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 Burns with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Dan Burns more than expected).
Fields of papers citing papers by Dan Burns
This network shows the impact of papers produced by Dan Burns. 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 Burns. The network helps show where Dan Burns may publish in the future.
Co-authors
The 14 scholars most cited alongside Dan Burns, 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 21 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | 1975 | 101 | |
| 2 | 1974 | 99 | |
| 3 | 1977 | 50 | |
| 4 | 1988 | 50 | |
| 5 | 1982 | 38 | |
| 6 | 1988 | 32 | |
| 7 | 1979 | 29 | |
| 8 | 1974 | 28 | |
| 9 | 1990 | 20 | |
| 10 | 1979 | 16 | |
| 11 | 1982 | 13 | |
| 12 | 1978 | 9 | |
| 13 | Holomorphic mapping of annuli in $C^n$ and the associated extremal function | 1979 | 9 |
| 14 | 1975 | 7 | |
| 15 | 1980 | 7 | |
| 16 | 2008 | 7 | |
| 17 | 1983 | 5 | |
| 18 | 2009 | 3 | |
| 19 | 2022 | 3 | |
| 20 | 2006 | 2 |
About Dan Burns
Dan Burns is a scholar working on Geometry and Topology, Applied Mathematics, Mathematical Physics, Astronomy and Astrophysics and Statistical and Nonlinear Physics, having authored 21 papers that have together received 529 indexed citations. Recurring topics across this work include Geometry and complex manifolds (12 papers), Holomorphic and Operator Theory (6 papers), Analytic and geometric function theory (5 papers), Geometric and Algebraic Topology (4 papers), Geometric Analysis and Curvature Flows (3 papers), Algebraic Geometry and Number Theory (3 papers), Advanced Differential Geometry Research (2 papers) and Nonlinear Waves and Solitons (1 paper). The work is most often cited by research in Geometry and Topology (471 citations), Applied Mathematics (94 citations), Astronomy and Astrophysics (53 citations), Mathematical Physics (17 citations) and Nuclear and High Energy Physics (12 citations). Dan Burns has collaborated with scholars based in United States, Canada and Germany. Frequent co-authors include Michael Rapoport, Jonathan M. Wahl, Steven Shnider, Charles L. Epstein, Paolo de Bartolomeis, Klas Diederich, Eric Bedford, Erhard Seiler, Simon N. M. Ruijsenaars and Victor Guillemin. Their work appears in journals such as Inventiones mathematicae, Pure and Applied Mathematics Quarterly, Mathematische Annalen, Lecture notes in mathematics and Annales Scientifiques de l École Normale Supérieure.
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.