Peter Fillmore
- Algebra and Number Theory top 1%
- Advanced Topics in Algebra 10
- Mathematical Physics top 1%
- Advanced Operator Algebra Research 8
- Spectral Theory in Mathematical Physics 3
- Advanced Banach Space Theory 3
- Applied Mathematics top 0.5%
- Holomorphic and Operator Theory 8
- Algebraic and Geometric Analysis 3
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- Matrix Theory and Algorithms 11
- Advanced Algebra and Logic 9
- Geometry and Topology top 2%
- Co-authors
- J. P. WilliamsR. G. DouglasL. G. BrownPaul R. HalmosNigel HigsonJoseph G. StampfliLouis BrickmanW. E. Longstaff
- Journals
- Proceedings of the American Mathematical Society (7 papers)Canadian Journal of Mathematics (3 papers)Linear Algebra and its Applications (3 papers)
- Partner nations
- CanadaUnited StatesAustralia
In The Last Decade
Peter Fillmore
34 papers receiving 1000 citations
Peers
Comparison fields: 5 of 62
- Algebra and Number Theory 631
- Mathematical Physics 756
- Applied Mathematics 745
- Computational Theory and Mathematics 571
- Geometry and Topology 220
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-authorship network
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
| # | Work | ||
|---|---|---|---|
| 1 | 2002 | 1 | |
| 2 | 1999 | 14 | |
| 3 | 1997 | 33 | |
| 4 | 1985 | 20 | |
| 5 | 1984 | 33 | |
| 6 | 1984 | 202 | |
| 7 | 1977 | 24 | |
| 8 | 1975 | 47 | |
| 9 | Proceedings of a Conference on Operator Theory : Dalhousie University, Halifax, Nova Scotia, April 13th and 14th, 1973 | 1973 | 0 |
| 10 | 1973 | 19 | |
| 11 | On the essential numerical range, the essential spectrum, and a problem of Halmos | 1972 | 108 |
| 12 | 1971 | 285 | |
| 13 | Notes on operator theory | 1970 | 58 |
| 14 | 1969 | 4 | |
| 15 | 1969 | 42 | |
| 16 | 1967 | 19 | |
| 17 | 1967 | 55 | |
| 18 | 1966 | 4 | |
| 19 | 1966 | 1 | |
| 20 | 1966 | 15 |
About Peter Fillmore
Peter Fillmore is a scholar working on Algebra and Number Theory, Mathematical Physics, Computational Theory and Mathematics, Applied Mathematics and Geometry and Topology, having authored 38 papers that have together received 1.4k indexed citations. Recurring topics across this work include Matrix Theory and Algorithms (11 papers), Advanced Topics in Algebra (10 papers), Advanced Algebra and Logic (9 papers), Holomorphic and Operator Theory (8 papers), Advanced Operator Algebra Research (8 papers), Spectral Theory in Mathematical Physics (3 papers), Advanced Banach Space Theory (3 papers) and Algebraic and Geometric Analysis (3 papers). The work is most often cited by research in Algebra and Number Theory (631 citations), Mathematical Physics (756 citations), Applied Mathematics (745 citations), Computational Theory and Mathematics (571 citations) and Geometry and Topology (220 citations). Peter Fillmore has collaborated with scholars based in Canada, United States and Australia. Frequent co-authors include J. P. Williams, R. G. Douglas, L. G. Brown, Paul R. Halmos, Nigel Higson, 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.