Kent E. Orr

1.1k total citations
22 papers, 428 citations indexed

About

Kent E. Orr is a scholar working on Geometry and Topology, Mathematical Physics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Kent E. Orr has authored 22 papers receiving a total of 428 indexed citations (citations by other indexed papers that have themselves been cited), including 20 papers in Geometry and Topology, 19 papers in Mathematical Physics and 7 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Kent E. Orr's work include Homotopy and Cohomology in Algebraic Topology (16 papers), Geometric and Algebraic Topology (15 papers) and Algebraic structures and combinatorial models (7 papers). Kent E. Orr is often cited by papers focused on Homotopy and Cohomology in Algebraic Topology (16 papers), Geometric and Algebraic Topology (15 papers) and Algebraic structures and combinatorial models (7 papers). Kent E. Orr collaborates with scholars based in United States, South Korea and France. Kent E. Orr's co-authors include Tim D. Cochran, Peter Teichner, Kiyoshi Igusa, Jae Choon, Jerzy Weyman, Gordana Todorov, Nathan Habegger, Saharon Shelah, Emmanuel Dror Farjoun and Jerome Levine and has published in prestigious journals such as Annals of Mathematics, Communications on Pure and Applied Mathematics and Inventiones mathematicae.

In The Last Decade

Kent E. Orr

19 papers receiving 383 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Kent E. Orr United States	11	420	377	87	64	30	22	428
Bert Wiest France	10	255 0.6×	183 0.5×	75 0.9×	96 1.5×	15 0.5×	24	296
Jacob Rasmussen United Kingdom	10	413 1.0×	341 0.9×	152 1.7×	56 0.9×	10 0.3×	12	435
Nathan M. Dunfield United States	9	289 0.7×	236 0.6×	99 1.1×	50 0.8×	6 0.2×	17	312
Yoshiyuki Yokota Japan	12	316 0.8×	208 0.6×	141 1.6×	64 1.0×	9 0.3×	25	327
C. Kearton United Kingdom	10	240 0.6×	162 0.4×	51 0.6×	35 0.5×	16 0.5×	35	261
Daniel Jelsovsky Japan	5	268 0.6×	202 0.5×	105 1.2×	58 0.9×	19 0.6×	6	275
David Joyce United States	4	409 1.0×	264 0.7×	154 1.8×	131 2.0×	65 2.2×	6	443
Laurel Langford United States	5	229 0.5×	174 0.5×	93 1.1×	52 0.8×	23 0.8×	5	238
Cameron Gordon United States	5	157 0.4×	107 0.3×	59 0.7×	34 0.5×	9 0.3×	13	176
Stefan Friedl Germany	9	300 0.7×	229 0.6×	116 1.3×	86 1.3×	5 0.2×	56	311

Countries citing papers authored by Kent E. Orr

Since Specialization

Citations

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

Fields of papers citing papers by Kent E. Orr

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Kent E. Orr. 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 Kent E. Orr. The network helps show where Kent E. Orr may publish in the future.

Co-authorship network of co-authors of Kent E. Orr

This figure shows the co-authorship network connecting the top 25 collaborators of Kent E. Orr. A scholar is included among the top collaborators of Kent E. Orr 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 Kent E. Orr. Kent E. Orr is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Choon, Jae & Kent E. Orr. (2023). Transfinite Milnor invariants for 3-manifolds. Journal of the European Mathematical Society. 26(8). 2971–3046.

Choon, Jae, Kent E. Orr, & Mark Powell. (2019). Whitney towers and abelian invariants of knots. Durham Research Online (Durham University).

Igusa, Kiyoshi, Kent E. Orr, Gordana Todorov, & Jerzy Weyman. (2014). PERIODIC TREES AND PROPICTURES.

Choon, Jae & Kent E. Orr. (2013). Hidden torsion, 3-manifolds, and homology cobordism. Journal of Topology. 6(2). 490–512. 3 indexed citations

Choon, Jae & Kent E. Orr. (2012). L²‐signatures, homology localization, and amenable groups. Communications on Pure and Applied Mathematics. 65(6). 790–832. 15 indexed citations

Igusa, Kiyoshi, Kent E. Orr, Gordana Todorov, & Jerzy Weyman. (2009). Cluster complexes via semi-invariants. Compositio Mathematica. 145(4). 1001–1034. 19 indexed citations

Cochran, Tim D., Kent E. Orr, & Peter Teichner. (2004). Structure in the classical knot concordance group. Commentarii Mathematici Helvetici. 79(1). 105–123. 63 indexed citations

Cochran, Tim D., Kent E. Orr, & Peter Teichner. (2003). Knot concordance, Whitney towers and L²-signatures. Annals of Mathematics. 157(2). 433–519. 117 indexed citations

Igusa, Kiyoshi & Kent E. Orr. (2001). Links, pictures and the homology of nilpotent groups. Topology. 40(6). 1125–1166. 20 indexed citations

10.

Cochran, Tim D., et al.. (2001). Dehn surgery equivalence relations on 3-manifolds. Mathematical Proceedings of the Cambridge Philosophical Society. 131(1). 97–127. 20 indexed citations

11.

Habegger, Nathan & Kent E. Orr. (1999). Milnor link invariants and quantum 3-manifold invariants. Commentarii Mathematici Helvetici. 74(2). 322–344. 6 indexed citations

12.

Habegger, Nathan & Kent E. Orr. (1999). FINITE TYPE THREE MANIFOLD INVARIANTS-REALIZATION AND VANISHING. Journal of Knot Theory and Its Ramifications. 8(8). 1001–1007. 3 indexed citations

13.

Cochran, Tim D. & Kent E. Orr. (1999). HOMOLOGY COBORDISM AND GENERALIZATIONS OF MILNOR'S INVARIANTS. Journal of Knot Theory and Its Ramifications. 8(4). 429–436. 3 indexed citations

14.

Cochran, Tim D. & Kent E. Orr. (1998). Stability of lower central series of compact 3-Manifold groups. Topology. 37(3). 497–526. 10 indexed citations

15.

Cochran, Tim D. & Kent E. Orr. (1994). Homology boundary links and Blanchfield forms: concordance classification and new tangle-theoretic constructions. Topology. 33(3). 397–427. 9 indexed citations

16.

Cochran, Tim D. & Kent E. Orr. (1993). Not all Links are Concordant to Boundary Links. Annals of Mathematics. 138(3). 519–519. 47 indexed citations

17.

Levine, Jerome, Washington Mio, & Kent E. Orr. (1993). Links with vanishing homotopy invariant. Communications on Pure and Applied Mathematics. 46(2). 213–220. 7 indexed citations

18.

Cochran, Tim D. & Kent E. Orr. (1990). Not all links are concordant to boundary links. Bulletin of the American Mathematical Society. 23(1). 99–106. 16 indexed citations

19.

Orr, Kent E.. (1989). Homotopy invariants of links. Inventiones mathematicae. 95(2). 379–394. 37 indexed citations

20.

Farjoun, Emmanuel Dror, Kent E. Orr, & Saharon Shelah. (1989). Bousfield localization as an algebraic closure of groups. Israel Journal of Mathematics. 66(1-3). 143–153. 10 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.

Explore authors with similar magnitude of impact