P. T. Church

660 total citations
44 papers, 396 citations indexed

About

P. T. Church is a scholar working on Geometry and Topology, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, P. T. Church has authored 44 papers receiving a total of 396 indexed citations (citations by other indexed papers that have themselves been cited), including 21 papers in Geometry and Topology, 16 papers in Mathematical Physics and 13 papers in Computational Theory and Mathematics. Recurrent topics in P. T. Church's work include Advanced Differential Equations and Dynamical Systems (12 papers), Mathematical Dynamics and Fractals (7 papers) and Advanced Mathematical Modeling in Engineering (5 papers). P. T. Church is often cited by papers focused on Advanced Differential Equations and Dynamical Systems (12 papers), Mathematical Dynamics and Fractals (7 papers) and Advanced Mathematical Modeling in Engineering (5 papers). P. T. Church collaborates with scholars based in United States, Canada and Australia. P. T. Church's co-authors include J. G. Timourian, Melvyn S. Berger and E. N. Dancer and has published in prestigious journals such as Transactions of the American Mathematical Society, Nonlinear Analysis and Acta Mathematica.

In The Last Decade

P. T. Church

42 papers receiving 253 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
P. T. Church United States	12	229	180	170	111	47	44	396
J. G. Timourian Canada	11	131 0.6×	104 0.6×	101 0.6×	79 0.7×	47 1.0×	26	258
Arne Stray Norway	12	158 0.7×	172 1.0×	301 1.8×	102 0.9×	105 2.2×	29	530
Mieczysław Altman United States	10	86 0.4×	80 0.4×	102 0.6×	118 1.1×	36 0.8×	34	321
H. S. Bear United States	11	93 0.4×	117 0.7×	119 0.7×	87 0.8×	78 1.7×	31	337
Wacław Marzantowicz Poland	11	208 0.9×	242 1.3×	144 0.8×	124 1.1×	25 0.5×	48	393
Maynard G. Arsove United States	10	120 0.5×	109 0.6×	209 1.2×	91 0.8×	60 1.3×	43	355
D. G. Bourgin United States	7	125 0.5×	170 0.9×	337 2.0×	56 0.5×	99 2.1×	20	450
H. Alexander United States	14	321 1.4×	120 0.7×	400 2.4×	64 0.6×	58 1.2×	46	516
Mary R. Embry United States	12	94 0.4×	177 1.0×	203 1.2×	166 1.5×	160 3.4×	20	442
Leon Brown United States	9	153 0.7×	174 1.0×	398 2.3×	76 0.7×	79 1.7×	30	492

Countries citing papers authored by P. T. Church

Since Specialization

Citations

This map shows the geographic impact of P. T. Church'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 P. T. Church with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites P. T. Church more than expected).

Fields of papers citing papers by P. T. Church

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by P. T. Church. 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 P. T. Church. The network helps show where P. T. Church may publish in the future.

Co-authorship network of co-authors of P. T. Church

This figure shows the co-authorship network connecting the top 25 collaborators of P. T. Church. A scholar is included among the top collaborators of P. T. Church 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 P. T. Church. P. T. Church 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

Church, P. T. & J. G. Timourian. (1996). Oriented global fold maps in differential and integral equations. Nonlinear Analysis. 26(1). 9–32.

Church, P. T., E. N. Dancer, & J. G. Timourian. (1993). The structure of a nonlinear elliptic operator. Transactions of the American Mathematical Society. 338(1). 1–42. 12 indexed citations

Church, P. T., et al.. (1993). The Structure of a Nonlinear Elliptic Operator. Transactions of the American Mathematical Society. 338(1). 1–1. 5 indexed citations

Church, P. T. & J. G. Timourian. (1989). A nonlinear elliptic operator and its singular values. Pacific Journal of Mathematics. 136(1). 57–70. 5 indexed citations

Berger, Melvyn S., P. T. Church, & J. G. Timourian. (1988). Folds and cusps in Banach spaces with applications to nonlinear partial differential equations. II. Transactions of the American Mathematical Society. 307(1). 225–244. 11 indexed citations

Church, P. T. & J. G. Timourian. (1988). The singular set of a nonlinear elliptic operator.. The Michigan Mathematical Journal. 35(2). 10 indexed citations

Berger, Melvyn S., P. T. Church, & J. G. Timourian. (1985). . Indiana University Mathematics Journal. 34(1). 1–1. 19 indexed citations

Church, P. T.. (1978). Discrete maps on manifolds.. The Michigan Mathematical Journal. 25(3). 7 indexed citations

Church, P. T., et al.. (1975). Non-trivial polynomial isolated singularities. Indagationes Mathematicae (Proceedings). 78(2). 149–154. 8 indexed citations

10.

Church, P. T. & J. G. Timourian. (1974). Differentiable Maps with 0-Dimensional Critical Set, II. Indiana University Mathematics Journal. 24(1). 17–28. 1 indexed citations

11.

Church, P. T. & J. G. Timourian. (1972). Differentiable maps with 0-dimensional critical set. I. Pacific Journal of Mathematics. 41(3). 615–630. 25 indexed citations

12.

Church, P. T., et al.. (1969). Real Analytic Maps on Manifolds. Indiana University Mathematics Journal. 19(1). 19–36. 3 indexed citations

13.

Church, P. T. & J. G. Timourian. (1968). Fiber Bundles with Singularities. Indiana University Mathematics Journal. 18(1). 71–90. 10 indexed citations

14.

Church, P. T.. (1967). Differentiable monotone maps on manifolds. Transactions of the American Mathematical Society. 128(2). 185–205. 4 indexed citations

15.

Church, P. T.. (1964). Boundary images of meromorphic functions. Transactions of the American Mathematical Society. 110(1). 52–78. 4 indexed citations

16.

Church, P. T.. (1964). On points of Jacobian rank 𝑘. Transactions of the American Mathematical Society. 110(3). 413–423. 12 indexed citations

17.

Church, P. T.. (1963). Differentiable open maps on manifolds. Transactions of the American Mathematical Society. 109(1). 87–100. 22 indexed citations

18.

Church, P. T.. (1963). Differentiable Open Maps on Manifolds. Transactions of the American Mathematical Society. 109(1). 87–87. 14 indexed citations

19.

Church, P. T., et al.. (1960). Light open maps on n-manifolds. Duke Mathematical Journal. 27(4). 22 indexed citations

20.

Church, P. T.. (1957). Ambiguous points of a function homeomorphic inside a sphere.. The Michigan Mathematical Journal. 4(2). 1 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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