Armin Rainer
Impact in
- Mathematical Physics top 10%
- Advanced Banach Space Theory
- Spectral Theory in Mathematical Physics
- Applied Mathematics top 5%
- Mathematical Analysis and Transform Methods
- Holomorphic and Operator Theory
- Advanced Harmonic Analysis Research
- Geometric Analysis and Curvature Flows
- Mathematical functions and polynomials
Papers in
-
- Advanced Banach Space Theory 8
- Mathematical Dynamics and Fractals 7
- Spectral Theory in Mathematical Physics 4
- Advanced Operator Algebra Research 4
- Advanced Algebra and Geometry 4
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- Holomorphic and Operator Theory 7
- Mathematical Analysis and Transform Methods 6
- Co-authors
- Peter W. Michor (6 shared papers)Andreas Kriegl (5 shared papers)Adam Parusiński (6 shared papers)Mark Losik (2 shared papers)Hans Stephani (1 shared paper)
In The Last Decade
Armin Rainer
26 papers receiving 171 citations
Peers
Comparison fields: 5 of 27
- Mathematical Physics 119
- Applied Mathematics 128
- Geometry and Topology 36
- Algebra and Number Theory 14
- Numerical Analysis 13
Countries citing papers authored by Armin Rainer
This map shows the geographic impact of Armin Rainer'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 Armin Rainer with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Armin Rainer more than expected).
Fields of papers citing papers by Armin Rainer
This network shows the impact of papers produced by Armin Rainer. 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 Armin Rainer. The network helps show where Armin Rainer may publish in the future.
Co-authors
The 5 scholars most cited alongside Armin Rainer, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 30 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Composition in ultradifferentiable classes | 2016 | 36 |
| 2 | 2011 | 17 | |
| 3 | 2009 | 16 | |
| 4 | 2019 | 15 | |
| 5 | 2019 | 11 | |
| 6 | 2009 | 10 | |
| 7 | 2013 | 9 | |
| 8 | 2017 | 9 | |
| 9 | 2011 | 9 | |
| 10 | 2016 | 7 | |
| 11 | 2015 | 4 | |
| 12 | 2011 | 4 | |
| 13 | 2022 | 3 | |
| 14 | 2006 | 3 | |
| 15 | 2011 | 3 | |
| 16 | An exotic zoo of diffeomorphism groups on R n | 2015 | 3 |
| 17 | 2018 | 3 | |
| 18 | 2007 | 3 | |
| 19 | Many parameter Lipschitz perturbation of unbounded operators | 2006 | 2 |
| 20 | 2011 | 2 |
About Armin Rainer
Armin Rainer is a scholar working on Mathematical Physics, Applied Mathematics, Geometry and Topology, Computational Theory and Mathematics and Algebra and Number Theory, having authored 30 papers that have together received 179 indexed citations. Recurring topics across this work include Advanced Banach Space Theory (8 papers), Holomorphic and Operator Theory (7 papers), Mathematical Dynamics and Fractals (7 papers), Mathematical Analysis and Transform Methods (6 papers), Spectral Theory in Mathematical Physics (4 papers), Advanced Operator Algebra Research (4 papers), Advanced Algebra and Geometry (4 papers) and Geometric and Algebraic Topology (4 papers). The work is most often cited by research in Mathematical Physics (119 citations), Applied Mathematics (128 citations), Geometry and Topology (36 citations), Algebra and Number Theory (14 citations) and Numerical Analysis (13 citations). Armin Rainer has collaborated with scholars based in Austria, France and Russia. Frequent co-authors include Peter W. Michor, Andreas Kriegl, Adam Parusiński, Mark Losik and Hans Stephani. Their work appears in journals such as Revista Matemática Complutense, Transactions of the American Mathematical Society, Journal of Functional Analysis, Selecta Mathematica and Mathematische Nachrichten.
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.