Nigel Higson

4.6k total citations
56 papers, 1.8k citations indexed

About

Nigel Higson is a scholar working on Mathematical Physics, Algebra and Number Theory and Geometry and Topology. According to data from OpenAlex, Nigel Higson has authored 56 papers receiving a total of 1.8k indexed citations (citations by other indexed papers that have themselves been cited), including 45 papers in Mathematical Physics, 25 papers in Algebra and Number Theory and 21 papers in Geometry and Topology. Recurrent topics in Nigel Higson's work include Advanced Operator Algebra Research (38 papers), Advanced Topics in Algebra (25 papers) and Homotopy and Cohomology in Algebraic Topology (16 papers). Nigel Higson is often cited by papers focused on Advanced Operator Algebra Research (38 papers), Advanced Topics in Algebra (25 papers) and Homotopy and Cohomology in Algebraic Topology (16 papers). Nigel Higson collaborates with scholars based in United States, United Kingdom and France. Nigel Higson's co-authors include John Roe, Gennadi Kasparov, Paul Baum, Peter Fillmore, Paul R. Halmos, Alain Connes, Erik Guentner, Vincent Lafforgue, Georges Skandalis and Guoliang Yu and has published in prestigious journals such as Lecture notes in mathematics, Transactions of the American Mathematical Society and Diabetic Medicine.

In The Last Decade

Nigel Higson

54 papers receiving 1.5k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Nigel Higson United States	22	1.5k	831	758	403	159	56	1.8k
Sorin Popa United States	30	2.7k 1.8×	2.0k 2.5×	1.5k 2.0×	264 0.7×	122 0.8×	84	2.8k
Narutaka Ozawa Japan	19	962 0.6×	618 0.7×	423 0.6×	234 0.6×	67 0.4×	54	1.1k
Mikael Rørdam Denmark	28	2.1k 1.4×	1.8k 2.1×	609 0.8×	339 0.8×	288 1.8×	66	2.1k
John Roe United States	19	1.2k 0.8×	496 0.6×	638 0.8×	364 0.9×	126 0.8×	44	1.4k
Bruce Blackadar United States	19	1.8k 1.2×	1.5k 1.8×	578 0.8×	358 0.9×	231 1.5×	30	2.0k
Paul S. Muhly United States	24	1.5k 1.0×	1.1k 1.4×	372 0.5×	750 1.9×	117 0.7×	113	1.6k
Georges Skandalis France	19	1.2k 0.8×	860 1.0×	636 0.8×	180 0.4×	108 0.7×	38	1.3k
Alfons Van Daele Belgium	22	1.1k 0.7×	992 1.2×	998 1.3×	92 0.2×	128 0.8×	68	1.3k
Henri Moscovici United States	14	877 0.6×	561 0.7×	544 0.7×	198 0.5×	175 1.1×	35	1.0k
Zhong‐Jin Ruan United States	19	1.1k 0.7×	823 1.0×	278 0.4×	450 1.1×	61 0.4×	54	1.2k

Countries citing papers authored by Nigel Higson

Since Specialization

Citations

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

Fields of papers citing papers by Nigel Higson

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Nigel Higson

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

Higson, Nigel, et al.. (2024). On the Connes–Kasparov isomorphism, I. Japanese journal of mathematics. 19(1). 67–109.

Brodzki, Jacek, et al.. (2020). On the Baum–Connes Conjecture for Groups Acting on CAT(0)-Cubical Spaces. International Mathematics Research Notices. 2021(5). 3698–3728. 1 indexed citations

McInnes, Alistair, William Jeffcoate, Loretta Vileikytė, et al.. (2010). Foot care education in patients with diabetes at low risk of complications: a consensus statement. Diabetic Medicine. 28(2). 162–167. 64 indexed citations

Higson, Nigel, Vincent Lafforgue, & Georges Skandalis. (2002). Counterexamples to the Baum--Connes conjecture. Geometric and Functional Analysis. 12(2). 330–354. 104 indexed citations

Higson, Nigel & John Roe. (2000). Analytic K-homology. 141 indexed citations

Baum, Paul, Nigel Higson, & Roger Plymen. (1997). A proof of the Baum-Connes conjecture for p-adic GL(n). Comptes Rendus de l Académie des Sciences - Series I - Mathematics. 325(2). 171–176. 18 indexed citations

Higson, Nigel, et al.. (1997). C*-Algebras and Controlled Topology. K-Theory. 11(3). 209–239. 35 indexed citations

Higson, Nigel & Gennadi Kasparov. (1997). Operator 𝐾-theory for groups which act properly and isometrically on Hilbert space. 3(22). 131–142. 58 indexed citations

Viberti, Gian Carlo, S. M. Marshall, Robin N. Beech, et al.. (1996). Report on renal disease in diabetes.. PubMed. 13(9 Suppl 4). S6–12. 16 indexed citations

10.

Higson, Nigel & Victor Nistor. (1996). Cyclic Homology of Totally Disconnected Groups Acting on Buildings. Journal of Functional Analysis. 141(2). 466–495. 11 indexed citations

11.

Higson, Nigel. (1995). C*-Algebra Extension Theory and Duality. Journal of Functional Analysis. 129(2). 349–363. 26 indexed citations

12.

Higson, Nigel, John Roe, & Guoliang Yu. (1993). A coarse Mayer–Vietoris principle. Mathematical Proceedings of the Cambridge Philosophical Society. 114(1). 85–97. 63 indexed citations

13.

Higson, Nigel. (1991). A note on the cobordism invariance of the index. Topology. 30(3). 439–443. 24 indexed citations

14.

Higson, Nigel & Mikael Rørdam. (1991). The Weyl-Von Neumann Theorem for Multipliers Of Some Af-Algebras. Canadian Journal of Mathematics. 43(2). 322–330. 4 indexed citations

15.

Higson, Nigel. (1989). BMA against again. BMJ. 299(6701). 735.2–735. 1 indexed citations

16.

Higson, Nigel. (1989). An allergy to marmite?. BMJ. 298(6667). 190.3–190. 1 indexed citations

17.

Higson, Nigel. (1988). Algebraic K-theory of stable C∗-algebras. Advances in Mathematics. 67(1). 1–140. 38 indexed citations

18.

Higson, Nigel. (1987). A characterization of $KK$-theory.. Project Euclid (Cornell University). 15 indexed citations

19.

Higson, Nigel. (1987). On a technical theorem of Kasparov. Journal of Functional Analysis. 73(1). 107–112. 20 indexed citations

20.

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