Patrick J. Ryan

1.7k total citations
39 papers, 920 citations indexed

About

Patrick J. Ryan is a scholar working on Geometry and Topology, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, Patrick J. Ryan has authored 39 papers receiving a total of 920 indexed citations (citations by other indexed papers that have themselves been cited), including 21 papers in Geometry and Topology, 20 papers in Applied Mathematics and 8 papers in Computational Theory and Mathematics. Recurrent topics in Patrick J. Ryan's work include Geometric Analysis and Curvature Flows (19 papers), Mathematics and Applications (11 papers) and Geometry and complex manifolds (9 papers). Patrick J. Ryan is often cited by papers focused on Geometric Analysis and Curvature Flows (19 papers), Mathematics and Applications (11 papers) and Geometry and complex manifolds (9 papers). Patrick J. Ryan collaborates with scholars based in United States, Canada and Australia. Patrick J. Ryan's co-authors include Thomas E. Cecil, Thomas Ivey, Hyang Sook Kim, W.F. Smyth, Martin A. Magid, Manolis Christodoulakis, Shu Wang, Michael Soltys, Steven J. Miller and Brian McDonald and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society and American Mathematical Monthly.

In The Last Decade

Patrick J. Ryan

37 papers receiving 711 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Patrick J. Ryan United States	17	777	680	415	60	45	39	920
Gary R. Jensen United States	14	566 0.7×	514 0.8×	334 0.8×	112 1.9×	11 0.2×	35	769
Ernst A. Ruh Germany	14	494 0.6×	405 0.6×	168 0.4×	119 2.0×	40 0.9×	29	659
J.-H. Eschenburg Germany	16	987 1.3×	856 1.3×	422 1.0×	303 5.0×	77 1.7×	51	1.3k
Tadashi Nagano Japan	19	565 0.7×	561 0.8×	262 0.6×	339 5.7×	45 1.0×	54	919
Robert E. Greene United States	19	818 1.1×	686 1.0×	180 0.4×	271 4.5×	117 2.6×	46	1.1k
Viktor Schroeder Switzerland	15	655 0.8×	838 1.2×	135 0.3×	468 7.8×	124 2.8×	70	1.0k
William M. Boothby United States	14	265 0.3×	382 0.6×	81 0.2×	146 2.4×	52 1.2×	26	645
克己野水	5	163 0.2×	160 0.2×	108 0.3×	76 1.3×	22 0.5×	7	388
Jacek Jachymski Poland	16	253 0.3×	1.2k 1.8×	173 0.4×	186 3.1×	351 7.8×	48	1.4k
Stephanie Alexander United States	14	268 0.3×	205 0.3×	93 0.2×	64 1.1×	59 1.3×	37	416

Countries citing papers authored by Patrick J. Ryan

Since Specialization

Citations

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

Fields of papers citing papers by Patrick J. Ryan

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Patrick J. Ryan. 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 Patrick J. Ryan. The network helps show where Patrick J. Ryan may publish in the future.

Co-authorship network of co-authors of Patrick J. Ryan

This figure shows the co-authorship network connecting the top 25 collaborators of Patrick J. Ryan. A scholar is included among the top collaborators of Patrick J. Ryan 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 Patrick J. Ryan. Patrick J. Ryan 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

Cecil, Thomas E. & Patrick J. Ryan. (2025). On the Work of Cartan and Münzner on Isoparametric Hypersurfaces. Axioms. 14(1). 56–56.

Ryan, Patrick J., et al.. (2025). In vitro senescence and senolytic functional assays. Biomaterials Science. 13(13). 3509–3531. 1 indexed citations

Ryan, Patrick J.. (2021). SZEMERÉDI’S THEOREM: AN EXPLORATION OF IMPURITY, EXPLANATION, AND CONTENT. The Review of Symbolic Logic. 16(3). 700–739. 4 indexed citations

Ryan, Patrick J., et al.. (2017). Constructing an indeterminate string from its associated graph. Theoretical Computer Science. 710. 88–96. 2 indexed citations

Christodoulakis, Manolis, Patrick J. Ryan, W.F. Smyth, & Shu Wang. (2015). Indeterminate strings, prefix arrays & undirected graphs. Theoretical Computer Science. 600. 34–48. 8 indexed citations

McDonald, Brian, et al.. (2015). Gaps between zeros of GL(2) L-functions. Journal of Mathematical Analysis and Applications. 429(1). 204–232. 2 indexed citations

Ivey, Thomas & Patrick J. Ryan. (2015). Hypersurfaces with Codazzi-type shape operator for a Tanaka--Webster connection. Publicationes Mathematicae Debrecen. 87(3-4). 279–290. 3 indexed citations

Ivey, Thomas & Patrick J. Ryan. (2011). The $^{*}$-Ricci Tensor for Hypersurfaces in $\mathbb{C}\mathbb{P}^n$ and $\mathbb{C}\mathrm{H}^n$. Tokyo Journal of Mathematics. 34(2). 18 indexed citations

Ivey, Thomas & Patrick J. Ryan. (2009). The Structure Jacobi Operator for Real Hypersurfaces in $${{\mathbb{C}} {\mathbb{P}}^2}$$ and $${\mathbb {C}{\rm H}^2}$$. Results in Mathematics. 56(1-4). 473–488. 16 indexed citations

10.

Ryan, Patrick J., et al.. (2002). Verifying a border array in linear time. Journal of Combinatorial Mathematics and Combinatorial Computing. 19 indexed citations

11.

Franěk, František, et al.. (1999). Verifying a border array in linear time. Murdoch Research Repository (Murdoch University).

12.

Ryan, Patrick J., et al.. (1998). Semi-parallel and Semi-symmetric Real Hypersurfaces in Complex Space Forms. Kyungpook mathematical journal. 38(1). 227–227. 12 indexed citations

13.

Ryan, Patrick J., et al.. (1994). Affine isoparametric hypersurfaces. Mathematische Zeitschrift. 217(1). 479–485. 9 indexed citations

14.

Magid, Martin A. & Patrick J. Ryan. (1992). Affine 3-Spheres with Constant Affine Curvature. Transactions of the American Mathematical Society. 330(2). 887–887. 2 indexed citations

15.

Magid, Martin A. & Patrick J. Ryan. (1992). Affine 3-spheres with constant affine curvature. Transactions of the American Mathematical Society. 330(2). 887–901. 8 indexed citations

16.

Cecil, Thomas E. & Patrick J. Ryan. (1982). Focal sets and real hypersurfaces in complex projective space. Transactions of the American Mathematical Society. 269(2). 481–481. 222 indexed citations

17.

Cecil, Thomas E. & Patrick J. Ryan. (1978). Focal sets of submanifolds. Pacific Journal of Mathematics. 78(1). 27–39. 38 indexed citations

18.

Ryan, Patrick J., et al.. (1975). Infinitesimal rigidity of submanifolds. Journal of Differential Geometry. 10(1). 7 indexed citations

19.

Ryan, Patrick J.. (1972). A class of complex hypersurfaces. Colloquium Mathematicum. 26(1). 175–182. 28 indexed citations

20.

Ryan, Patrick J.. (1971). Hypersurfaces with parallel Ricci tensor. Osaka Journal of Mathematics. 8(2). 251–259. 48 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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