M. C. Crabb

641 total citations
53 papers, 296 citations indexed

About

M. C. Crabb is a scholar working on Mathematical Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, M. C. Crabb has authored 53 papers receiving a total of 296 indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Mathematical Physics, 29 papers in Geometry and Topology and 25 papers in Algebra and Number Theory. Recurrent topics in M. C. Crabb's work include Homotopy and Cohomology in Algebraic Topology (31 papers), Advanced Topics in Algebra (24 papers) and Algebraic structures and combinatorial models (12 papers). M. C. Crabb is often cited by papers focused on Homotopy and Cohomology in Algebraic Topology (31 papers), Advanced Topics in Algebra (24 papers) and Algebraic structures and combinatorial models (12 papers). M. C. Crabb collaborates with scholars based in United Kingdom, Germany and United States. M. C. Crabb's co-authors include Ioan James, Wilson A Sutherland, Jan Jaworowski, Mauro Spreafico, Stephen Α. Mitchell, Stefan Bauer, Andrew Ranicki, Pavle V. M. Blagojević, Günter M. Ziegler and J. R. Hubbuck and has published in prestigious journals such as Lecture notes in mathematics, Bulletin of the London Mathematical Society and American Journal of Mathematics.

In The Last Decade

M. C. Crabb

46 papers receiving 261 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
M. C. Crabb United Kingdom	9	214	173	127	46	29	53	296
J. Mrčun Slovenia	9	305 1.4×	230 1.3×	218 1.7×	43 0.9×	7 0.2×	15	369
Oscar Randal‐Williams United Kingdom	10	310 1.4×	279 1.6×	56 0.4×	44 1.0×	16 0.6×	44	342
Daniel S. Kahn United States	8	213 1.0×	166 1.0×	110 0.9×	23 0.5×	17 0.6×	16	267
Bruno Harris United States	11	185 0.9×	226 1.3×	151 1.2×	38 0.8×	24 0.8×	23	342
Thomas J. Lada United States	3	219 1.0×	184 1.1×	104 0.8×	11 0.2×	16 0.6×	4	243
Zbigniew Fiedorowicz United States	10	308 1.4×	296 1.7×	215 1.7×	12 0.3×	21 0.7×	26	362
Robert H. Szczarba United States	12	304 1.4×	314 1.8×	124 1.0×	81 1.8×	34 1.2×	27	424
Karl Heinz Dovermann United States	11	182 0.9×	189 1.1×	47 0.4×	23 0.5×	63 2.2×	32	243
Joseph Neisendorfer United States	12	540 2.5×	509 2.9×	316 2.5×	28 0.6×	30 1.0×	23	611
Mark Steinberger United States	7	536 2.5×	478 2.8×	312 2.5×	15 0.3×	13 0.4×	13	573

Countries citing papers authored by M. C. Crabb

Since Specialization

Citations

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

Fields of papers citing papers by M. C. Crabb

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by M. C. Crabb. 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 M. C. Crabb. The network helps show where M. C. Crabb may publish in the future.

Co-authorship network of co-authors of M. C. Crabb

This figure shows the co-authorship network connecting the top 25 collaborators of M. C. Crabb. A scholar is included among the top collaborators of M. C. Crabb 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 M. C. Crabb. M. C. Crabb 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

Blagojević, Pavle V. M. & M. C. Crabb. (2025). Many partitions of mass assignments. Documenta Mathematica. 30(1). 41–104. 1 indexed citations

Crabb, M. C.. (2023). On Borsuk–Ulam theorems and convex sets. Mathematika. 69(2). 366–370. 2 indexed citations

Crabb, M. C.. (2015). Lefschetz indices for n-valued maps. Journal of Fixed Point Theory and Applications. 17(1). 153–186. 4 indexed citations

Crabb, M. C.. (2012). Fixed-orbit indices, I. Journal of Fixed Point Theory and Applications. 11(1). 65–92. 1 indexed citations

Crabb, M. C.. (2012). The topological Tverberg theorem and related topics. Journal of Fixed Point Theory and Applications. 12(1-2). 1–25. 3 indexed citations

Crabb, M. C.. (2011). Spaces of commuting elements in SU(2). Proceedings of the Edinburgh Mathematical Society. 54(1). 67–75. 6 indexed citations

Crabb, M. C., et al.. (2010). Quaternionic structures. Topology and its Applications. 157(18). 2850–2863. 5 indexed citations

Crabb, M. C. & Jan Jaworowski. (2009). Theorems of Kakutani and Dyson revisited. Journal of Fixed Point Theory and Applications. 5(2). 227–236. 6 indexed citations

Crabb, M. C., et al.. (2008). Obstruction theory on 8-manifolds. manuscripta mathematica. 127(2). 167–186. 7 indexed citations

10.

Crabb, M. C.. (2007). Equivariant fixed-point indices of iterated maps. Journal of Fixed Point Theory and Applications. 2(2). 171–193. 4 indexed citations

11.

Crabb, M. C.. (2005). Counting nilpotent endomorphisms. Finite Fields and Their Applications. 12(1). 151–154. 8 indexed citations

12.

Crabb, M. C.. (2005). DICKSON–MUI INVARIANTS. Bulletin of the London Mathematical Society. 37(6). 846–856. 4 indexed citations

13.

Bauer, Stefan, M. C. Crabb, & Mauro Spreafico. (2001). The space of free loops on a real projective space. Groups of homotopy self-equivalences and related topics. Contemporary mathematics - American Mathematical Society. 274. 33–38. 1 indexed citations

14.

Bauer, Stefan, M. C. Crabb, & Mauro Spreafico. (2001). The classifying space of the gauge group of an SO(3)-bundle over S². Proceedings of the Royal Society of Edinburgh Section A Mathematics. 131(4). 767–783. 2 indexed citations

15.

Crabb, M. C., J. R. Hubbuck, & John McCall. (1997). Stable summands ofU(n). Proceedings of the Royal Society of Edinburgh Section A Mathematics. 127(5). 963–973. 1 indexed citations

16.

Crabb, M. C., et al.. (1988). The Hurewicz Map on Stunted Complex Projective Spaces. American Journal of Mathematics. 110(5). 783–783. 9 indexed citations

17.

Crabb, M. C., et al.. (1988). Central Adams operators. manuscripta mathematica. 60(2). 131–137. 2 indexed citations

18.

Crabb, M. C., et al.. (1987). James Quasi-Periodicity for the Codegree of Vector Bundles over Complex Projective Spaces. Journal of the London Mathematical Society. s2-35(2). 353–366. 3 indexed citations

19.

Crabb, M. C., et al.. (1986). Vector bundles of maximal codegree. Mathematische Zeitschrift. 193(2). 285–296. 7 indexed citations

20.

Crabb, M. C. & Wilson A Sutherland. (1986). The space of sections of a sphere-bundle I. Proceedings of the Edinburgh Mathematical Society. 29(3). 383–403. 8 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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