Paul Melvin
- Geometry and Topology top 1%
- Mathematical Physics top 2%
- Discrete Mathematics and Combinatorics top 5%
- Statistical and Nonlinear Physics top 10%
- Computational Theory and Mathematics top 10%
- Co-authors
- Robion KirbyH. R. MortonNicholas TufillaroJohn F. HughesCharles LivingstonTim D. CochranDaniel RubermanWilliam Kazez
- Topics
- Geometric and Algebraic Topology (22 papers)Homotopy and Cohomology in Algebraic Topology (12 papers)Advanced Operator Algebra Research (7 papers)
- Partner nations
- United StatesUnited KingdomCanada
In The Last Decade
Paul Melvin
27 papers receiving 409 citations
Peers
Comparison fields: 5 of 36
- Geometry and Topology 420
- Mathematical Physics 345
- Discrete Mathematics and Combinatorics 150
- Statistical and Nonlinear Physics 44
- Computational Theory and Mathematics 39
Countries citing papers authored by Paul Melvin
This map shows the geographic impact of Paul Melvin'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 Paul Melvin with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Paul Melvin more than expected).
Fields of papers citing papers by Paul Melvin
This network shows the impact of papers produced by Paul Melvin. 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 Paul Melvin. The network helps show where Paul Melvin may publish in the future.
Co-authorship network of co-authors of Paul Melvin
This figure shows the co-authorship network connecting the top 25 collaborators of Paul Melvin. A scholar is included among the top collaborators of Paul Melvin 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 Paul Melvin. Paul Melvin is excluded from the visualization to improve readability, since they are connected to all nodes in the network.
All Works
| # | Work | Indexed citations |
|---|---|---|
| 1 | 1 | |
| 2 | 5 | |
| 3 | 6 | |
| 4 | 1 | |
| 5 | 3 | |
| 6 | 12 | |
| 7 | 8 | |
| 8 | A Geometric Interpretation of Milnor's Triple Invariants | 1 |
| 9 | 10 | |
| 10 | 58 | |
| 11 | 39 | |
| 12 | 30 | |
| 13 | 184 | |
| 14 | 4 | |
| 15 | 5 | |
| 16 | 7 | |
| 17 | 6 | |
| 18 | 5 | |
| 19 | 8 | |
| 20 | 8 |
About Paul Melvin
Paul Melvin is a scholar working on Geometry and Topology, Mathematical Physics and Discrete Mathematics and Combinatorics, having authored 29 papers that have together received 476 indexed citations. Recurring topics across this work include Geometric and Algebraic Topology (22 papers), Homotopy and Cohomology in Algebraic Topology (12 papers) and Advanced Operator Algebra Research (7 papers). The work is most often cited by research in Geometry and Topology (420 citations), Discrete Mathematics and Combinatorics (150 citations) and Mathematical Physics (345 citations). Paul Melvin has collaborated with scholars based in United States, United Kingdom and Canada. Frequent co-authors include Robion Kirby, H. R. Morton, Nicholas Tufillaro, John F. Hughes, Charles Livingston, Tim D. Cochran, Daniel Ruberman, William Kazez, Xingru Zhang and Jeffrey B. Parker. Their work appears in journals such as Physical Review A, Communications in Mathematical Physics and Inventiones mathematicae.
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.