Philip J. Higgins
- Mathematical Physics top 1%
- Geometry and Topology top 1%
- Algebra and Number Theory top 2%
- Computational Theory and Mathematics top 5%
- Artificial Intelligence
- Topics
- Homotopy and Cohomology in Algebraic Topology (14 papers)Advanced Topics in Algebra (10 papers)Algebraic structures and combinatorial models (6 papers)
- Journals
- Journal of AlgebraMathematical Proceedings of the Cambridge Philosophical SocietyProceedings of the London Mathematical Society
- Partner nations
- United KingdomCanadaAustralia
In The Last Decade
Philip J. Higgins
19 papers receiving 722 citations
Peers
Comparison fields: 5 of 46
- Mathematical Physics 658
- Geometry and Topology 567
- Algebra and Number Theory 414
- Computational Theory and Mathematics 177
- Artificial Intelligence 89
Countries citing papers authored by Philip J. Higgins
This map shows the geographic impact of Philip J. Higgins'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 Philip J. Higgins with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Philip J. Higgins more than expected).
Fields of papers citing papers by Philip J. Higgins
This network shows the impact of papers produced by Philip J. Higgins. 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 Philip J. Higgins. The network helps show where Philip J. Higgins may publish in the future.
Co-authorship network of co-authors of Philip J. Higgins
This figure shows the co-authorship network connecting the top 25 collaborators of Philip J. Higgins. A scholar is included among the top collaborators of Philip J. Higgins 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 Philip J. Higgins. Philip J. Higgins is excluded from the visualization to improve readability, since they are connected to all nodes in the network.
All Works
| # | Work | Indexed citations |
|---|---|---|
| 1 | 51 | |
| 2 | Nonabelian Algebraic Topology: Filtered Spaces, Crossed Complexes, Cubical Homotopy Groupoids | 40 |
| 3 | 7 | |
| 4 | The algebra of cubes ⁄y | 8 |
| 5 | 24 | |
| 6 | 41 | |
| 7 | 147 | |
| 8 | 17 | |
| 9 | 14 | |
| 10 | 53 | |
| 11 | The equivalence of $\omega $-groupoids and cubical $T$-complexes | 8 |
| 12 | 98 | |
| 13 | The equivalence of $\infty $-groupoids and crossed complexes | 36 |
| 14 | 86 | |
| 15 | 72 | |
| 16 | A first course in abstract algebra | 3 |
| 17 | 26 | |
| 18 | Notes on categories and groupoids | 79 |
| 19 | 86 |
About Philip J. Higgins
Philip J. Higgins is a scholar working on Algebra and Number Theory, Mathematical Physics and Geometry and Topology, having authored 19 papers that have together received 896 indexed citations. Recurring topics across this work include Homotopy and Cohomology in Algebraic Topology (14 papers), Advanced Topics in Algebra (10 papers) and Algebraic structures and combinatorial models (6 papers). The work is most often cited by research in Algebra and Number Theory (414 citations), Mathematical Physics (658 citations) and Geometry and Topology (567 citations). Philip J. Higgins has collaborated with scholars based in United Kingdom, Canada and Australia. Frequent co-authors include Ronald Brown, Kirill C. H. Mackenzie, Rafael Sivera, Sidney A. Morris and Sergei Soloviev. Their work appears in journals such as Journal of Algebra, Mathematical Proceedings of the Cambridge Philosophical Society and Proceedings of the London Mathematical Society.
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.