Peter Fillmore
Impact in
- Algebra and Number Theory top 1%
- Advanced Topics in Algebra
- Mathematical Physics top 0.5%
- Advanced Operator Algebra Research
- Spectral Theory in Mathematical Physics
- Advanced Banach Space Theory
Papers in
-
- Matrix Theory and Algorithms 11
- Advanced Algebra and Logic 9
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- Advanced Operator Algebra Research 10
- Advanced Banach Space Theory 4
- Spectral Theory in Mathematical Physics 3
- Co-authors
- J. P. Williams (3 shared papers)L. G. Brown (3 shared papers)R. G. Douglas (3 shared papers)Nigel Higson (1 shared paper)Paul R. Halmos (1 shared paper)Joseph G. Stampfli (1 shared paper)Louis Brickman (1 shared paper)W. E. Longstaff (3 shared papers)
- Journals
- Proceedings of the American Mathematical Society (7 papers)Canadian Journal of Mathematics (3 papers)Linear Algebra and its Applications (3 papers)Semigroup Forum (2 papers)Transactions of the American Mathematical Society (2 papers)
- Partner nations
- CanadaUnited StatesAustralia
In The Last Decade
Peter Fillmore
37 papers receiving 1.3k citations
Peers
Comparison fields: 5 of 66
- Algebra and Number Theory 817
- Mathematical Physics 1.0k
- Applied Mathematics 964
- Computational Theory and Mathematics 669
- Geometry and Topology 281
Countries citing papers authored by Peter Fillmore
This map shows the geographic impact of Peter Fillmore'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 Fillmore with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Peter Fillmore more than expected).
Fields of papers citing papers by Peter Fillmore
This network shows the impact of papers produced by Peter Fillmore. 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 Fillmore. The network helps show where Peter Fillmore may publish in the future.
Co-authors
The 20 scholars most cited alongside Peter Fillmore, 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 | 1971 | 316 | |
| 2 | 1973 | 239 | |
| 3 | 1984 | 218 | |
| 4 | 1977 | 217 | |
| 5 | On the essential numerical range, the essential spectrum, and a problem of Halmos | 1972 | 120 |
| 6 | Notes on operator theory | 1970 | 68 |
| 7 | 1967 | 57 | |
| 8 | 1971 | 52 | |
| 9 | 1975 | 50 | |
| 10 | 1969 | 44 | |
| 11 | 1969 | 42 | |
| 12 | 1984 | 36 | |
| 13 | 1997 | 34 | |
| 14 | 1973 | 29 | |
| 15 | 1977 | 24 | |
| 16 | 1967 | 20 | |
| 17 | 1985 | 20 | |
| 18 | 1966 | 17 | |
| 19 | 1999 | 16 | |
| 20 | 1965 | 14 |
About Peter Fillmore
Peter Fillmore is a scholar working on Computational Theory and Mathematics, Mathematical Physics, Algebra and Number Theory, Applied Mathematics and Geometry and Topology, having authored 41 papers that have together received 1.7k indexed citations. Recurring topics across this work include Advanced Topics in Algebra (12 papers), Matrix Theory and Algorithms (11 papers), Advanced Operator Algebra Research (10 papers), Advanced Algebra and Logic (9 papers), Holomorphic and Operator Theory (9 papers), Advanced Banach Space Theory (4 papers), Algebraic and Geometric Analysis (3 papers) and Spectral Theory in Mathematical Physics (3 papers). The work is most often cited by research in Algebra and Number Theory (817 citations), Mathematical Physics (1.0k citations), Applied Mathematics (964 citations), Computational Theory and Mathematics (669 citations) and Geometry and Topology (281 citations). Peter Fillmore has collaborated with scholars based in Canada, United States and Australia. Frequent co-authors include J. P. Williams, L. G. Brown, R. G. Douglas, Nigel Higson, Paul R. Halmos, Joseph G. Stampfli, Louis Brickman, W. E. Longstaff, James A. Deddens and James A. Mingo. Their work appears in journals such as Proceedings of the American Mathematical Society, Canadian Journal of Mathematics, Linear Algebra and its Applications, Semigroup Forum 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.