P. B. Kronheimer

91 total papers · 6.8k total citations
41 papers, 3.3k citations indexed

About

P. B. Kronheimer is a scholar working on Geometry and Topology, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, P. B. Kronheimer has authored 41 papers receiving a total of 3.3k indexed citations (citations by other indexed papers that have themselves been cited), including 35 papers in Geometry and Topology, 26 papers in Mathematical Physics and 7 papers in Applied Mathematics. Recurrent topics in P. B. Kronheimer's work include Geometric and Algebraic Topology (27 papers), Homotopy and Cohomology in Algebraic Topology (16 papers) and Algebraic Geometry and Number Theory (9 papers). P. B. Kronheimer is often cited by papers focused on Geometric and Algebraic Topology (27 papers), Homotopy and Cohomology in Algebraic Topology (16 papers) and Algebraic Geometry and Number Theory (9 papers). P. B. Kronheimer collaborates with scholars based in United States, United Kingdom and Japan. P. B. Kronheimer's co-authors include Simon Donaldson, Tomasz Mrowka, Hiraku Nakajima, Zoltán Szabó, Peter Ozsváth, Michael T. Anderson, Claude LeBrun, E. H. Kronheimer, Michael Larsen and Paul M. N. Feehan and has published in prestigious journals such as Communications in Mathematical Physics, Annals of Mathematics and Inventiones mathematicae.

In The Last Decade

P. B. Kronheimer

38 papers receiving 2.8k citations

Hit Papers

normalize citations (0→100%) normalize lifespan (0→100%) sort by overperformance

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 benchmark for papers published in the same subfield and year, or reaches the top citation threshold in at least one of its specific research topics.

The Geometry of Four-Manifolds

1990 619 citations Simon Donaldson, P. B. Kronheimer profile →
The Geometry of Four-Manifolds

1990 571 citations Simon Donaldson, P. B. Kronheimer CERN Document Server (European Organization for Nuclear Research) profile →

Author Peers

Peers are selected by citation overlap in the author's most active subfields. citations · hero ref

Author						Papers	Cites
P. B. Kronheimer	2.6k	2.0k	773	732	459	41	3.3k
Friedrich Hirzebruch	2.3k 0.9×	1.8k 0.9×	750 1.0×	223 0.3×	237 0.5×	71	3.3k
James Stasheff	1.8k 0.7×	1.7k 0.9×	236 0.3×	356 0.5×	335 0.7×	35	2.6k
Graeme Segal	2.8k 1.1×	2.7k 1.4×	252 0.3×	695 0.9×	985 2.1×	49	4.0k
Daniel Quillen	3.6k 1.4×	3.6k 1.8×	280 0.4×	273 0.4×	394 0.9×	43	4.7k
Eduard Zehnder	1.7k 0.7×	1.5k 0.8×	808 1.0×	91 0.1×	1.0k 2.3×	52	2.8k
Vladimir G. Turaev	2.6k 1.0×	2.0k 1.0×	71 0.1×	504 0.7×	543 1.2×	36	3.1k
Joachim Cuntz	1.2k 0.4×	2.9k 1.5×	520 0.7×	345 0.5×	764 1.7×	52	3.4k
Marc A. Rieffel	1.4k 0.5×	3.0k 1.5×	768 1.0×	540 0.7×	1.1k 2.4×	58	4.0k
Mikhael Gromov	3.4k 1.3×	2.5k 1.3×	2.4k 3.1×	130 0.2×	174 0.4×	26	4.6k
Andreas Floer	1.7k 0.7×	1.8k 0.9×	942 1.2×	75 0.1×	291 0.6×	26	2.5k

Countries citing papers authored by P. B. Kronheimer

Since Specialization

Citations

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

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

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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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