Alan L. Carey

3.6k total citations · 1 hit paper
129 papers, 1.7k citations indexed

About

Alan L. Carey is a scholar working on Mathematical Physics, Algebra and Number Theory and Geometry and Topology. According to data from OpenAlex, Alan L. Carey has authored 129 papers receiving a total of 1.7k indexed citations (citations by other indexed papers that have themselves been cited), including 99 papers in Mathematical Physics, 57 papers in Algebra and Number Theory and 39 papers in Geometry and Topology. Recurrent topics in Alan L. Carey's work include Advanced Operator Algebra Research (64 papers), Advanced Topics in Algebra (57 papers) and Algebraic structures and combinatorial models (27 papers). Alan L. Carey is often cited by papers focused on Advanced Operator Algebra Research (64 papers), Advanced Topics in Algebra (57 papers) and Algebraic structures and combinatorial models (27 papers). Alan L. Carey collaborates with scholars based in Australia, Canada and United States. Alan L. Carey's co-authors include Fedor Sukochev, John Phillips, Michael K. Murray, Varghese Mathai, Adam Rennie, Brad Crammond, Gemma Carey, Andrew Joyce, Eleanor Malbon and Nicole Carey and has published in prestigious journals such as Physics Letters B, Communications in Mathematical Physics and Lecture notes in mathematics.

In The Last Decade

Alan L. Carey

120 papers receiving 1.6k citations

Hit Papers

Systems science and systems thinking for public health: a... 2015 2026 2018 2022 2015 50 100 150 200 250
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.

  1. Systems science and systems thinking for public health: a systematic review of the field
    2015 259 citations Gemma Carey, Eleanor Malbon et al. BMJ Open profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Alan L. Carey Australia 23 1.1k 563 449 353 350 129 1.7k
William M. Goldman United States 30 1.8k 1.6× 299 0.5× 2.3k 5.0× 230 0.7× 744 2.1× 119 3.3k
Roberto Longo Italy 29 1.7k 1.6× 1.1k 2.0× 1.3k 2.8× 687 1.9× 185 0.5× 93 2.7k
D. C. Spencer United States 19 450 0.4× 203 0.4× 630 1.4× 193 0.5× 456 1.3× 43 1.4k
Charles P. Boyer United States 34 474 0.4× 146 0.3× 1.4k 3.1× 556 1.6× 1.1k 3.2× 128 3.1k
Rui Loja Fernandes Portugal 14 589 0.5× 414 0.7× 385 0.9× 257 0.7× 68 0.2× 44 884
Kenneth J. Dykema United States 16 1.1k 1.0× 519 0.9× 374 0.8× 106 0.3× 228 0.7× 53 1.5k
Benedict H. Gross United States 30 2.2k 2.0× 1.3k 2.3× 2.3k 5.2× 91 0.3× 144 0.4× 88 3.0k
Alexander Shapiro United States 9 231 0.2× 120 0.2× 215 0.5× 79 0.2× 187 0.5× 19 731
Eric Sharpe United States 21 431 0.4× 90 0.2× 658 1.5× 503 1.4× 49 0.1× 83 1.5k
H. J. Borchers Germany 21 582 0.5× 300 0.5× 222 0.5× 449 1.3× 163 0.5× 60 1.2k

Countries citing papers authored by Alan L. Carey

Since Specialization
Citations

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

Fields of papers citing papers by Alan L. Carey

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Alan L. Carey. 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 Alan L. Carey. The network helps show where Alan L. Carey may publish in the future.

Co-authorship network of co-authors of Alan L. Carey

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

All Works

20 of 20 papers shown
1.
2.
Carey, Alan L., et al.. (2020). The KO-valued spectral flow for skew-adjoint Fredholm operators. Journal of Topology and Analysis. 14(2). 505–556. 5 indexed citations
3.
Carey, Alan L., John Phillips, & Hermann Schulz‐Baldes. (2018). Spectral flow for skew-adjoint Fredholm operators. Journal of Spectral Theory. 9(1). 137–170. 10 indexed citations
4.
Carey, Alan L., Adam Rennie, Fedor Sukochev, & Dmitriy Zanin. (2016). Universal measurability and the Hochschild class of the Chern character. Journal of Spectral Theory. 6(1). 1–41. 2 indexed citations
5.
Carey, Alan L., Harald Grosse, & Jens Kaad. (2015). On a spectral flow formula for the homological index. Advances in Mathematics. 289. 1106–1156. 1 indexed citations
6.
Carey, Gemma, Eleanor Malbon, Nicole Carey, et al.. (2015). Systems science and systems thinking for public health: a systematic review of the field. BMJ Open. 5(12). e009002–e009002. 259 indexed citations breakdown →
7.
Carey, Alan L., John Phillips, Adam Rennie, & Fedor Sukochev. (2008). The Chern character of semifinite spectral triples. Journal of Noncommutative Geometry. 2(2). 141–193. 13 indexed citations
8.
Carey, Alan L., et al.. (2007). The Dixmier trace and asymptotics of zeta functions. Journal of Functional Analysis. 249(2). 253–283. 40 indexed citations
9.
Carey, Alan L., et al.. (2006). Следы Диксмье и некоторые приложения в некоммутативной геометрии. Успехи математических наук. 61(6). 45–110. 13 indexed citations
10.
Carey, Alan L., John Phillips, Adam Rennie, & Fedor Sukochev. (2005). The local index formula in semifinite von Neumann algebras II: The even case. Advances in Mathematics. 202(2). 517–554. 38 indexed citations
11.
Carey, Alan L. & Bai‐Ling Wang. (2004). The Universal Gerbe and Local Family Index Theory. arXiv (Cornell University). 2 indexed citations
12.
Carey, Alan L., Thierry Coulhon, Varghese Mathai, & John Phillips. (1998). Von Neumann spectra near the spectral gap. Bulletin des Sciences Mathématiques. 122(3). 203–242. 2 indexed citations
13.
Carey, Alan L. & John Phillips. (1998). Unbounded Fredholm Modules and Spectral Flow. Canadian Journal of Mathematics. 50(4). 673–718. 52 indexed citations
14.
Carey, Alan L. & Michael K. Murray. (1998). Geometric analysis and Lie theory in mathematics and physics. Cambridge University Press eBooks. 7 indexed citations
15.
Carey, Alan L., et al.. (1996). A Discrete Model of the Integer Quantum Hall Effect. Publications of the Research Institute for Mathematical Sciences. 32(1). 117–156. 5 indexed citations
16.
Carey, Alan L. & Keith Hannabuss. (1996). Infinite dimensional groups and Riemann surface field theories. Communications in Mathematical Physics. 176(2). 321–351. 5 indexed citations
17.
Carey, Alan L. & Michael K. Murray. (1990). Higher-order tensors, strings and new tensors. Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences. 430(1879). 423–432. 2 indexed citations
18.
Carey, Alan L. & David Evans. (1990). Algebras almost commuting with Clifford algebras. Journal of Functional Analysis. 88(2). 279–298. 3 indexed citations
19.
Carey, Alan L., Michael G. Eastwood, & Keith Hannabuss. (1990). Riemann surfaces, Clifford algebras and infinite dimensional groups. Communications in Mathematical Physics. 130(2). 217–236. 6 indexed citations
20.
O’Brien, Dónal, et al.. (1977). On characteristic identities for Lie algebras. French digital mathematics library (Numdam). 26(4). 405–429. 9 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

Breakdown of academic impact, for papers by William M. Goldman Breakdown of academic impact, for papers by Roberto Longo Breakdown of academic impact, for papers by D. C. Spencer Breakdown of academic impact, for papers by Charles P. Boyer Breakdown of academic impact, for papers by Rui Loja Fernandes Breakdown of academic impact, for papers by Kenneth J. Dykema Breakdown of academic impact, for papers by Benedict H. Gross Breakdown of academic impact, for papers by Alexander Shapiro Breakdown of academic impact, for papers by Eric Sharpe Breakdown of academic impact, for papers by H. J. Borchers
Rankless by CCL
2026