Kirill C. H. Mackenzie

3.5k total citations · 2 hit papers
27 papers, 1.6k citations indexed

About

Kirill C. H. Mackenzie is a scholar working on Mathematical Physics, Algebra and Number Theory and Geometry and Topology. According to data from OpenAlex, Kirill C. H. Mackenzie has authored 27 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 24 papers in Mathematical Physics, 21 papers in Algebra and Number Theory and 9 papers in Geometry and Topology. Recurrent topics in Kirill C. H. Mackenzie's work include Homotopy and Cohomology in Algebraic Topology (22 papers), Advanced Topics in Algebra (21 papers) and Algebraic structures and combinatorial models (7 papers). Kirill C. H. Mackenzie is often cited by papers focused on Homotopy and Cohomology in Algebraic Topology (22 papers), Advanced Topics in Algebra (21 papers) and Algebraic structures and combinatorial models (7 papers). Kirill C. H. Mackenzie collaborates with scholars based in United Kingdom, United States and Australia. Kirill C. H. Mackenzie's co-authors include Ping Xu, Philip J. Higgins, Ronald Brown and Anatol Odzijewicz and has published in prestigious journals such as Advances in Mathematics, Bulletin of the London Mathematical Society and Proceedings of the American Mathematical Society.

In The Last Decade

Kirill C. H. Mackenzie

25 papers receiving 1.4k citations

Hit Papers

General Theory of Lie Groupoids and Lie Algebr... 1987 2026 2000 2013 2005 1987 100 200 300 400
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. General Theory of Lie Groupoids and Lie Algebroids
    2005 422 citations Kirill C. H. Mackenzie Cambridge University Press eBooks profile →
  2. Lie Groupoids and Lie Algebroids in Differential Geometry
    1987 350 citations Kirill C. H. Mackenzie Cambridge University Press eBooks profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Kirill C. H. Mackenzie United Kingdom 15 1.4k 1.2k 843 349 144 27 1.6k
Marius Crainic Netherlands 17 852 0.6× 639 0.6× 540 0.6× 127 0.4× 73 0.5× 34 919
Izu Vaisman Israel 18 813 0.6× 460 0.4× 1.0k 1.2× 328 0.9× 90 0.6× 90 1.6k
Franklin P. Peterson United States 18 667 0.5× 307 0.3× 613 0.7× 81 0.2× 19 0.1× 62 986
Ana Cannas da Silva United States 8 319 0.2× 185 0.2× 256 0.3× 140 0.4× 18 0.1× 11 542
George W. Whitehead United States 10 799 0.6× 377 0.3× 747 0.9× 44 0.1× 39 0.3× 16 1.0k
Ib Madsen Denmark 19 1.1k 0.8× 441 0.4× 1.1k 1.3× 44 0.1× 36 0.3× 57 1.3k
Hirosi Toda Japan 21 819 0.6× 422 0.4× 713 0.8× 47 0.1× 47 0.3× 52 1.0k
V. K. A. M. Gugenheim United States 14 704 0.5× 472 0.4× 645 0.8× 90 0.3× 19 0.1× 26 870
W. C. Hsiang United States 20 797 0.6× 294 0.3× 770 0.9× 39 0.1× 15 0.1× 50 1.0k
Theodore Voronov United Kingdom 8 273 0.2× 214 0.2× 239 0.3× 114 0.3× 18 0.1× 52 440

Countries citing papers authored by Kirill C. H. Mackenzie

Since Specialization
Citations

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

Fields of papers citing papers by Kirill C. H. Mackenzie

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Kirill C. H. Mackenzie. 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 Kirill C. H. Mackenzie. The network helps show where Kirill C. H. Mackenzie may publish in the future.

Co-authorship network of co-authors of Kirill C. H. Mackenzie

This figure shows the co-authorship network connecting the top 25 collaborators of Kirill C. H. Mackenzie. A scholar is included among the top collaborators of Kirill C. H. Mackenzie 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 Kirill C. H. Mackenzie. Kirill C. H. Mackenzie 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.
Mackenzie, Kirill C. H., et al.. (2018). Poisson Geometry Related to Atiyah Sequences. Symmetry Integrability and Geometry Methods and Applications. 1 indexed citations
2.
Mackenzie, Kirill C. H.. (2011). Ehresmann doubles and Drinfel'd doubles for Lie algebroids and Lie bialgebroids. Journal für die reine und angewandte Mathematik (Crelles Journal). 2011(658). 25 indexed citations
3.
Mackenzie, Kirill C. H.. (2005). General Theory of Lie Groupoids and Lie Algebroids. Cambridge University Press eBooks. 422 indexed citations breakdown →
4.
Mackenzie, Kirill C. H.. (2000). Affinoid structures and connections. Banach Center Publications. 51(1). 175–186.
5.
Mackenzie, Kirill C. H. & Ping Xu. (2000). Integration of Lie bialgebroids. Topology. 39(3). 445–467. 61 indexed citations
6.
Mackenzie, Kirill C. H.. (2000). A Unified Approach to Poisson Reduction. Letters in Mathematical Physics. 53(3). 215–232. 2 indexed citations
7.
Mackenzie, Kirill C. H.. (1999). ON SYMPLECTIC DOUBLE GROUPOIDS AND THE DUALITY OF POISSON GROUPOIDS. International Journal of Mathematics. 10(4). 435–456. 14 indexed citations
8.
Mackenzie, Kirill C. H.. (1998). Drinfel’d doubles and Ehresmann doubles for Lie algebroids and Lie bialgebroids. 4(11). 74–87. 21 indexed citations
9.
Mackenzie, Kirill C. H.. (1998). Classical lifting processes and multiplicative vector fields. The Quarterly Journal of Mathematics. 49(193). 59–85. 33 indexed citations
10.
Mackenzie, Kirill C. H. & Ping Xu. (1998). Classical Lifting Processes and Multiplicative Vector Fields. The Quarterly Journal of Mathematics. 49(1). 59–85. 24 indexed citations
11.
Mackenzie, Kirill C. H. & Ping Xu. (1994). Lie bialgebroids and Poisson groupoids. Duke Mathematical Journal. 73(2). 181 indexed citations
12.
Mackenzie, Kirill C. H.. (1992). Double Lie algebroids and second-order geometry, I. Advances in Mathematics. 94(2). 180–239. 88 indexed citations
13.
Brown, Ronald & Kirill C. H. Mackenzie. (1992). Determination of a double Lie groupoid by its core diagram. Journal of Pure and Applied Algebra. 80(3). 237–272. 36 indexed citations
14.
Higgins, Philip J. & Kirill C. H. Mackenzie. (1990). Algebraic constructions in the category of lie algebroids. Journal of Algebra. 129(1). 194–230. 147 indexed citations
15.
Mackenzie, Kirill C. H.. (1990). DIFFERENTIAL GEOMETRY OF FRAME BUNDLES. Bulletin of the London Mathematical Society. 22(3). 311–312. 1 indexed citations
16.
Mackenzie, Kirill C. H. & Kirill C. H. Mackenzie. (1989). Classification of principal bundles and lie groupoids with prescribed gauge group bundle. Journal of Pure and Applied Algebra. 58(2). 181–208. 11 indexed citations
17.
Mackenzie, Kirill C. H.. (1988). Infinitesimal Characterization of Homogeneous Bundles. Proceedings of the American Mathematical Society. 103(4). 1271–1271. 1 indexed citations
18.
Mackenzie, Kirill C. H.. (1987). A note on Lie algebroids which arise from groupoid actions. French digital mathematics library (Numdam). 28(4). 283–302. 6 indexed citations
19.
Mackenzie, Kirill C. H.. (1987). Integrability obstructions for extensions of Lie algebroids. French digital mathematics library (Numdam). 28(1). 29–52. 6 indexed citations
20.
Mackenzie, Kirill C. H.. (1987). Lie Groupoids and Lie Algebroids in Differential Geometry. Cambridge University Press eBooks. 350 indexed citations breakdown →

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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