Peter W. Michor
- Geometry and Topology top 0.2%
- Mathematical Physics top 0.5%
- Applied Mathematics top 0.5%
- Algebra and Number Theory top 2%
- Statistical and Nonlinear Physics top 1%
- Co-authors
- Andreas KrieglJan SlovákIvan KolářDavid MumfordDmitri V. AlekseevskyDavid B. MumfordMichel Dubois‐VioletteMartin Bauer
- Topics
- Advanced Topics in Algebra (32 papers)Geometric Analysis and Curvature Flows (28 papers)Homotopy and Cohomology in Algebraic Topology (25 papers)
- Journals
- Journal of NeurochemistryCommunications in Mathematical PhysicsLecture notes in mathematics
- Partner nations
- AustriaUnited StatesRussia
In The Last Decade
Peter W. Michor
100 papers receiving 2.5k citations
Hit Papers
Peers
Comparison fields: 5 of 89
- Geometry and Topology 1.4k
- Mathematical Physics 1.2k
- Applied Mathematics 900
- Algebra and Number Theory 570
- Statistical and Nonlinear Physics 566
Countries citing papers authored by Peter W. Michor
This map shows the geographic impact of Peter W. Michor'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 Peter W. Michor with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Peter W. Michor more than expected).
Fields of papers citing papers by Peter W. Michor
This network shows the impact of papers produced by Peter W. Michor. 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 Peter W. Michor. The network helps show where Peter W. Michor may publish in the future.
Co-authorship network of co-authors of Peter W. Michor
This figure shows the co-authorship network connecting the top 25 collaborators of Peter W. Michor. A scholar is included among the top collaborators of Peter W. Michor 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 Peter W. Michor. Peter W. Michor is excluded from the visualization to improve readability, since they are connected to all nodes in the network.
All Works
| # | Work | Indexed citations |
|---|---|---|
| 1 | 0 | |
| 2 | 4 | |
| 3 | 4 | |
| 4 | The KdV-equation has vanishing geodesic distance | 1 |
| 5 | Sobolev metrics on shape space of surfaces in n-space | 4 |
| 6 | 110 | |
| 7 | 188 | |
| 8 | Many parameter Lipschitz perturbation of unbounded operators | 2 |
| 9 | 78 | |
| 10 | 16 | |
| 11 | 1 | |
| 12 | Smooth *-algebras | 8 |
| 13 | 0 | |
| 14 | NO SLICES ON THE SPACE OF GENERALIZED CONNECTIONS | 2 |
| 15 | 75 years of Radon transform : proceedings of the conference held at the Erwin Schrödinger International Institute for Mathematical Physics in Vienna, August 31-September 4, 1992 | 3 |
| 16 | 2 | |
| 17 | A convenient setting for differential geometry and global analysis II | 10 |
| 18 | Manifolds of smooth maps III : the principal bundle of embeddings of a non-compact smooth manifold | 7 |
| 19 | Banach modules and functors on categories of Banach spaces | 32 |
| 20 | Manifolds of smooth maps | 11 |
About Peter W. Michor
Peter W. Michor is a scholar working on Mathematical Physics, Algebra and Number Theory and Geometry and Topology, having authored 104 papers that have together received 2.8k indexed citations. Recurring topics across this work include Advanced Topics in Algebra (32 papers), Geometric Analysis and Curvature Flows (28 papers) and Homotopy and Cohomology in Algebraic Topology (25 papers). The work is most often cited by research in Geometry and Topology (1.4k citations), Mathematical Physics (1.2k citations) and Algebra and Number Theory (570 citations). Peter W. Michor has collaborated with scholars based in Austria, United States and Russia. Frequent co-authors include Andreas Kriegl, Jan Slovák, Ivan Kolář, David Mumford, Dmitri V. Alekseevsky, David B. Mumford, Michel Dubois‐Violette, Martin Bauer, Mark Losik and Martins Bruveris. Their work appears in journals such as Journal of Neurochemistry, Communications in Mathematical Physics and Lecture notes in mathematics.
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.