P. B. Kronheimer
- Geometry and Topology top 0.05%
- Mathematical Physics top 0.2%
- Applied Mathematics top 0.5%
- Nuclear and High Energy Physics top 2%
- Statistical and Nonlinear Physics top 1%
- Co-authors
- Simon DonaldsonTomasz MrowkaHiraku NakajimaZoltán SzabóPeter OzsváthClaude LeBrunMichael T. AndersonE. H. Kronheimer
- Topics
- Geometric and Algebraic Topology (25 papers)Homotopy and Cohomology in Algebraic Topology (14 papers)Algebraic Geometry and Number Theory (9 papers)
- Partner nations
- United StatesUnited KingdomSlovakia
In The Last Decade
P. B. Kronheimer
36 papers receiving 2.8k citations
Hit Papers
Peers
Comparison fields: 5 of 53
- Geometry and Topology 2.6k
- Mathematical Physics 1.9k
- Applied Mathematics 776
- Nuclear and High Energy Physics 728
- Statistical and Nonlinear Physics 456
Countries citing papers authored by P. B. Kronheimer
This map shows the geographic impact of P. B. Kronheimer'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 P. B. Kronheimer with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites P. B. Kronheimer more than expected).
Fields of papers citing papers by P. B. Kronheimer
This network shows the impact of papers produced by P. B. Kronheimer. 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 P. B. Kronheimer. The network helps show where P. B. Kronheimer may publish in the future.
Co-authorship network of co-authors of P. B. Kronheimer
This figure shows the co-authorship network connecting the top 25 collaborators of P. B. Kronheimer. A scholar is included among the top collaborators of P. B. Kronheimer 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 P. B. Kronheimer. P. B. Kronheimer is excluded from the visualization to improve readability, since they are connected to all nodes in the network.
All Works
| # | Work | Indexed citations |
|---|---|---|
| 1 | 7 | |
| 2 | 50 | |
| 3 | Dehn surgery, the fundamental group and SU(2 | 0 |
| 4 | 95 | |
| 5 | 19 | |
| 6 | 3 | |
| 7 | 12 | |
| 8 | 87 | |
| 9 | 27 | |
| 10 | 40 | |
| 11 | 40 | |
| 12 | 10 | |
| 13 | 170 | |
| 14 | 9 | |
| 15 | The Geometry of Four-Manifoldsbreakdown → | 618 |
| 16 | 61 | |
| 17 | 68 | |
| 18 | 148 | |
| 19 | The Geometry of Four-Manifoldsbreakdown → | 569 |
| 20 | 100 |
About P. B. Kronheimer
P. B. Kronheimer is a scholar working on Geometry and Topology, Mathematical Physics and Computer Graphics and Computer-Aided Design, having authored 39 papers that have together received 3.2k indexed citations. Recurring topics across this work include Geometric and Algebraic Topology (25 papers), Homotopy and Cohomology in Algebraic Topology (14 papers) and Algebraic Geometry and Number Theory (9 papers). The work is most often cited by research in Geometry and Topology (2.6k citations), Mathematical Physics (1.9k citations) and Discrete Mathematics and Combinatorics (321 citations). P. B. Kronheimer has collaborated with scholars based in United States, United Kingdom and Slovakia. Frequent co-authors include Simon Donaldson, Tomasz Mrowka, Hiraku Nakajima, Zoltán Szabó, Peter Ozsváth, Claude LeBrun, Michael T. Anderson, E. H. Kronheimer, Paul M. N. Feehan and Michael Larsen. Their work appears in journals such as Communications in Mathematical Physics, Annals of Mathematics 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.