Ted Petrie

8.4k total citations · 2 hit papers
57 papers, 5.1k citations indexed

About

Ted Petrie is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Ted Petrie has authored 57 papers receiving a total of 5.1k indexed citations (citations by other indexed papers that have themselves been cited), including 37 papers in Geometry and Topology, 31 papers in Mathematical Physics and 12 papers in Algebra and Number Theory. Recurrent topics in Ted Petrie's work include Homotopy and Cohomology in Algebraic Topology (22 papers), Algebraic Geometry and Number Theory (19 papers) and Advanced Algebra and Geometry (11 papers). Ted Petrie is often cited by papers focused on Homotopy and Cohomology in Algebraic Topology (22 papers), Algebraic Geometry and Number Theory (19 papers) and Advanced Algebra and Geometry (11 papers). Ted Petrie collaborates with scholars based in United States, Japan and Netherlands. Ted Petrie's co-authors include Leonard E. Baum, Norman Weiß, J.D. Randall, Tammo tom Dieck, Karl Heinz Dovermann, Mikiya Masuda, Hanspeter Kraft, William Browder, Gerald W. Schwarz and Robert Oliver and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Annals of Mathematics and Lecture notes in mathematics.

In The Last Decade

Ted Petrie

52 papers receiving 4.6k citations

Hit Papers

align trajectories sort by overperformance

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

A Maximization Technique Occurring in the Statistical Analysis of Probabilistic Functions of Markov Chains

1970 2.8k citations Leonard E. Baum, Ted Petrie et al. The Annals of Mathematical Statistics profile →
Statistical Inference for Probabilistic Functions of Finite State Markov Chains

1966 1.7k citations Leonard E. Baum, Ted Petrie The Annals of Mathematical Statistics profile →

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author						Papers	Cites
Ted Petrie	2.2k	967	639	480	469	57	5.1k
Leonard E. Baum	3.3k 1.5×	1.5k 1.5×	927 1.5×	653 1.4×	64 0.1×	24	7.0k
Herman Chernoff	2.1k 0.9×	379 0.4×	695 1.1×	307 0.6×	126 0.3×	91	8.4k
J. C. Dunn	3.1k 1.4×	876 0.9×	1.8k 2.8×	444 0.9×	73 0.2×	48	7.2k
E. N. Gilbert	1.4k 0.6×	529 0.5×	875 1.4×	466 1.0×	242 0.5×	77	6.5k
Steve Smale	1.5k 0.7×	195 0.2×	827 1.3×	272 0.6×	915 2.0×	54	7.3k
David G. Kendall	772 0.3×	154 0.2×	829 1.3×	386 0.8×	1.5k 3.2×	120	7.3k
Ronald Graham	1.7k 0.8×	490 0.5×	1.1k 1.7×	393 0.8×	2.2k 4.7×	177	12.2k
Vin de Silva	3.1k 1.4×	1.1k 1.1×	5.0k 7.8×	923 1.9×	260 0.6×	21	10.2k
Ulrike von Luxburg	3.5k 1.6×	723 0.7×	2.6k 4.1×	839 1.7×	190 0.4×	60	7.9k
Gábor Lugosi	4.8k 2.2×	519 0.5×	1.3k 2.0×	341 0.7×	88 0.2×	137	8.4k

Countries citing papers authored by Ted Petrie

Since Specialization

Citations

This map shows the geographic impact of Ted Petrie'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 Ted Petrie with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Ted Petrie more than expected).

Fields of papers citing papers by Ted Petrie

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Ted Petrie. 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 Ted Petrie. The network helps show where Ted Petrie may publish in the future.

Co-authorship network of co-authors of Ted Petrie

This figure shows the co-authorship network connecting the top 25 collaborators of Ted Petrie. A scholar is included among the top collaborators of Ted Petrie 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 Ted Petrie. Ted Petrie 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

Masuda, Mikiya, et al.. (1998). Equivariant algebraic vector bundles over cones with smooth one dimensional quotient. Journal of the Mathematical Society of Japan. 50(2). 4 indexed citations

Masuda, Mikiya, et al.. (1998). Invariants of equivariant algebraic vector bundles and inequalities for dominant weights. Topology. 37(1). 161–177. 2 indexed citations

Masuda, Mikiya, et al.. (1996). The Equivariant Serre Problem for abelian groups. Topology. 35(2). 329–334. 16 indexed citations

Dieck, Tammo tom & Ted Petrie. (1993). Homology planes and algebraic curves. Osaka Journal of Mathematics. 30(4). 855–886. 4 indexed citations

Petrie, Ted & J.D. Randall. (1991). Connections, Definite Forms, and Four-manifolds. 4 indexed citations

Dieck, Tammo tom & Ted Petrie. (1991). Arrangements of lines with tree resolutions. Archiv der Mathematik. 56(2). 189–196. 2 indexed citations

Masuda, Mikiya & Ted Petrie. (1991). Equivariant algebraic vector bundles over representations of reductive groups: theory.. Proceedings of the National Academy of Sciences. 88(20). 9061–9064. 10 indexed citations

Kraft, Hanspeter, Ted Petrie, & J.D. Randall. (1989). Quotient varieties. Advances in Mathematics. 74(2). 145–162. 8 indexed citations

Petrie, Ted. (1988). Smooth conjugacy of algebraic actions on affine varieties. Topology. 27(4). 473–477. 3 indexed citations

10.

Petrie, Ted & J.D. Randall. (1986). Finite-order algebraic automorphisms of affine varieties. Commentarii Mathematici Helvetici. 61(1). 203–221. 12 indexed citations

11.

Dovermann, Karl Heinz & Ted Petrie. (1985). Smith equivalence of representations for odd order cyclic groups. Topology. 24(3). 283–305. 11 indexed citations

12.

Petrie, Ted & J.D. Randall. (1984). Transformation groups on manifolds. Medical Entomology and Zoology. 33 indexed citations

13.

Petrie, Ted. (1982). One fixed point actions on spheres, I. Advances in Mathematics. 46(1). 3–14. 31 indexed citations

14.

Petrie, Ted, et al.. (1976). Quasi equivalence of G modules. Topology. 15(1). 69–75. 10 indexed citations

15.

Petrie, Ted, et al.. (1976). Smooth S1 Manifolds. Lecture notes in mathematics. 1 indexed citations

16.

Petrie, Ted. (1974). A setting for smooth S1 actions with applications to real algebraic actions on P(C4n). Topology. 13(4). 363–374. 7 indexed citations

17.

Petrie, Ted. (1973). Real algebraic actions on projective spaces - A survey. Annales de l’institut Fourier. 23(2). 135–150. 1 indexed citations

18.

Petrie, Ted. (1971). Free Metacyclic Group Actions on Homotopy Spheres. Annals of Mathematics. 94(1). 108–108. 18 indexed citations

19.

Baum, Leonard E., et al.. (1970). A Maximization Technique Occurring in the Statistical Analysis of Probabilistic Functions of Markov Chains. The Annals of Mathematical Statistics. 41(1). 164–171. 2794 indexed citations breakdown →

20.

Petrie, Ted. (1966). The $K$ theory of the projective unitary groups. Bulletin of the American Mathematical Society. 72(5). 875–879. 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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