David Borthwick
Impact in
- Mathematical Physics top 5%
- Spectral Theory in Mathematical Physics
- Advanced Algebra and Geometry
- Mathematical Dynamics and Fractals
- Geometry and Topology top 5%
- Geometry and complex manifolds
Papers in
-
- Spectral Theory in Mathematical Physics 14
- Advanced Algebra and Geometry 6
- Mathematical Dynamics and Fractals 5
- Homotopy and Cohomology in Algebraic Topology 4
-
- Geometry and complex manifolds 14
- Co-authors
- Alejandro Uribe (7 shared papers)David A. King (2 shared papers)Peter Perry (5 shared papers)Harald Upmeier (1 shared paper)Chris Judge (2 shared papers)Stephen J. Jenkins (1 shared paper)Tanmoy Paul (1 shared paper)Thierry Paul (1 shared paper)
- Journals
- Journal of Functional Analysis (3 papers)Communications in Mathematical Physics (3 papers)Duke Mathematical Journal (2 papers)Mathematical Research Letters (2 papers)Transactions of the American Mathematical Society (2 papers)
- Partner nations
- United StatesItalyUnited Kingdom
In The Last Decade
David Borthwick
40 papers receiving 416 citations
Peers
Comparison fields: 5 of 55
- Mathematical Physics 256
- Geometry and Topology 199
- Applied Mathematics 157
- Algebra and Number Theory 45
- Statistical and Nonlinear Physics 84
Countries citing papers authored by David Borthwick
This map shows the geographic impact of David Borthwick'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 David Borthwick with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites David Borthwick more than expected).
Fields of papers citing papers by David Borthwick
This network shows the impact of papers produced by David Borthwick. 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 David Borthwick. The network helps show where David Borthwick may publish in the future.
Co-authors
The 17 scholars most cited alongside David Borthwick, 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 41 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | 2009 | 47 | |
| 2 | 1996 | 40 | |
| 3 | 2008 | 39 | |
| 4 | 1993 | 32 | |
| 5 | 1995 | 26 | |
| 6 | 2016 | 26 | |
| 7 | 2007 | 22 | |
| 8 | 2001 | 21 | |
| 9 | 1998 | 18 | |
| 10 | 2005 | 17 | |
| 11 | 2014 | 16 | |
| 12 | 2008 | 15 | |
| 13 | 2000 | 15 | |
| 14 | 2003 | 12 | |
| 15 | 2020 | 12 | |
| 16 | 2016 | 11 | |
| 17 | 1993 | 10 | |
| 18 | 2003 | 9 | |
| 19 | 2001 | 8 | |
| 20 | 2010 | 7 |
About David Borthwick
David Borthwick is a scholar working on Mathematical Physics, Geometry and Topology, Applied Mathematics, Statistical and Nonlinear Physics and Algebra and Number Theory, having authored 41 papers that have together received 453 indexed citations. Recurring topics across this work include Spectral Theory in Mathematical Physics (14 papers), Geometry and complex manifolds (14 papers), Geometric Analysis and Curvature Flows (10 papers), Quantum chaos and dynamical systems (6 papers), Advanced Algebra and Geometry (6 papers), Advanced Topics in Algebra (5 papers), Mathematical Dynamics and Fractals (5 papers) and Homotopy and Cohomology in Algebraic Topology (4 papers). The work is most often cited by research in Mathematical Physics (256 citations), Geometry and Topology (199 citations), Applied Mathematics (157 citations), Algebra and Number Theory (45 citations) and Statistical and Nonlinear Physics (84 citations). David Borthwick has collaborated with scholars based in United States, Italy and United Kingdom. Frequent co-authors include Alejandro Uribe, David A. King, Peter Perry, Harald Upmeier, Chris Judge, Stephen J. Jenkins, Tanmoy Paul, Thierry Paul, Maurizio Rinaldi and Sławomir Klimek. Their work appears in journals such as Journal of Functional Analysis, Communications in Mathematical Physics, Duke Mathematical Journal, Mathematical Research Letters and Transactions 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.