Peter Fillmore

2.6k total citations
38 papers, 1.4k citations indexed

About

Peter Fillmore is a scholar working on Computational Theory and Mathematics, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Peter Fillmore has authored 38 papers receiving a total of 1.4k indexed citations (citations by other indexed papers that have themselves been cited), including 21 papers in Computational Theory and Mathematics, 15 papers in Mathematical Physics and 11 papers in Algebra and Number Theory. Recurrent topics in Peter Fillmore's work include Matrix Theory and Algorithms (11 papers), Advanced Topics in Algebra (10 papers) and Advanced Algebra and Logic (9 papers). Peter Fillmore is often cited by papers focused on Matrix Theory and Algorithms (11 papers), Advanced Topics in Algebra (10 papers) and Advanced Algebra and Logic (9 papers). Peter Fillmore collaborates with scholars based in Canada, United States and Australia. Peter Fillmore's 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 and has published in prestigious journals such as Annals of Mathematics, Transactions of the American Mathematical Society and American Mathematical Monthly.

In The Last Decade

Peter Fillmore

34 papers receiving 1000 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Peter Fillmore Canada	16	756	745	631	571	220	38	1.4k
S. K. Berberian United States	19	626 0.8×	574 0.8×	469 0.7×	488 0.9×	275 1.3×	64	1.4k
R. G. Douglas United States	20	1.2k 1.6×	1.5k 2.0×	755 1.2×	503 0.9×	316 1.4×	51	2.1k
Carl Pearcy United States	25	1.3k 1.8×	1.6k 2.1×	964 1.5×	783 1.4×	302 1.4×	128	2.3k
Heydar Radjavi Canada	18	729 1.0×	717 1.0×	967 1.5×	642 1.1×	332 1.5×	171	1.6k
C. R. Putnam United States	17	609 0.8×	728 1.0×	324 0.5×	421 0.7×	159 0.7×	91	1.2k
Garrett Johnson United States	3	710 0.9×	1.1k 1.5×	372 0.6×	248 0.4×	294 1.3×	5	1.7k
Marvin Rosenblum United States	18	677 0.9×	865 1.2×	276 0.4×	514 0.9×	156 0.7×	44	1.4k
G. Lumer Belgium	13	617 0.8×	575 0.8×	272 0.4×	450 0.8×	129 0.6×	40	1.1k
Lee A. Rubel United States	22	388 0.5×	710 1.0×	167 0.3×	405 0.7×	459 2.1×	146	1.5k
John Wermer United States	26	715 0.9×	1.2k 1.6×	629 1.0×	340 0.6×	708 3.2×	71	1.9k

Countries citing papers authored by Peter Fillmore

Since Specialization

Citations

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

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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 of co-authors of Peter Fillmore

This figure shows the co-authorship network connecting the top 25 collaborators of Peter Fillmore. A scholar is included among the top collaborators of Peter Fillmore based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Peter Fillmore. Peter Fillmore is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Fillmore, Peter, et al.. (2002). Intersections of nest algebras in finite dimensions. Linear Algebra and its Applications. 350(1-3). 185–197. 1 indexed citations

Bhat, B. V. Rajarama, George A. Elliott, & Peter Fillmore. (1999). Lectures on Operator Theory. American Mathematical Society eBooks. 14 indexed citations

Fillmore, Peter, Cecelia Laurie, & Heydar Radjavi. (1985). On matrix spaces with zero determinant. Linear and Multilinear Algebra. 18(3). 255–266. 20 indexed citations

Fillmore, Peter, Nigel Higson, & Paul R. Halmos. (1984). A Hilbert Space Problem Book.. American Mathematical Monthly. 91(9). 592–592. 202 indexed citations

Fillmore, Peter & W. E. Longstaff. (1984). On Isomorphisms of Lattices of Closed Subspaces. Canadian Journal of Mathematics. 36(5). 820–829. 33 indexed citations

Fillmore, Peter, Domingo A. Herrero, & W. E. Longstaff. (1977). The hyperinvariant subspace lattice of a linear transformation. Linear Algebra and its Applications. 17(2). 125–132. 24 indexed citations

Deddens, James A. & Peter Fillmore. (1975). Reflexive linear transformations. Linear Algebra and its Applications. 10(1). 89–93. 47 indexed citations

Fillmore, Peter. (1973). Proceedings of a Conference on Operator Theory : Dalhousie University, Halifax, Nova Scotia, April 13th and 14th, 1973. Springer eBooks.

Brown, L. G., R. G. Douglas, & Peter Fillmore. (1973). Extensions of 𝐶*-algebras, operators with compact self-commutators, and 𝐾-homology. Bulletin of the American Mathematical Society. 79(5). 973–978. 19 indexed citations

10.

Fillmore, Peter, Joseph G. Stampfli, & J. P. Williams. (1972). On the essential numerical range, the essential spectrum, and a problem of Halmos. 108 indexed citations

11.

Fillmore, Peter & J. P. Williams. (1971). On operator ranges. Advances in Mathematics. 7(3). 254–281. 285 indexed citations

12.

Fillmore, Peter. (1970). Notes on operator theory. 58 indexed citations

13.

Fillmore, Peter & David M. Topping. (1969). Sums of irreducible operators. Proceedings of the American Mathematical Society. 20(1). 131–133. 4 indexed citations

14.

Fillmore, Peter. (1969). On sums of projections. Journal of Functional Analysis. 4(1). 146–152. 42 indexed citations

15.

Brickman, Louis & Peter Fillmore. (1967). The Invariant Subspace Lattice of a Linear Transformation. Canadian Journal of Mathematics. 19. 810–822. 55 indexed citations

16.

Fillmore, Peter & David M. Topping. (1967). Operator algebras generated by projections. Duke Mathematical Journal. 34(2). 19 indexed citations

17.

Fillmore, Peter. (1966). On topology induced by measure. Proceedings of the American Mathematical Society. 17(4). 854–854. 4 indexed citations

18.

Fillmore, Peter. (1966). On Topology Induced by Measure. Proceedings of the American Mathematical Society. 17(4). 854–854. 1 indexed citations

19.

Fillmore, Peter. (1966). On Products of Symmetries. Canadian Journal of Mathematics. 18. 897–900. 15 indexed citations

20.

Fillmore, Peter. (1965). The Dimension Theory of Certain Cardinal Algebras. Transactions of the American Mathematical Society. 117. 21–21. 4 indexed citations

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.

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